(* ::Package:: *)

(* Mathematica data file for Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds     *)
(*              Authors: Andreas P. Braun, Callum R. Brodie, Andre Lukas                                      *)
(* For details see arXiv:nnnn.nnnn                                                                             *)
(* Save this file to disk and load into Mathematica with Get["filename"]                                     *)
(*****************************************************************************************************************)

Print[Style["Heterotic line bundle SU(5) GUT models on elliptically fibered Calabi-Yau three-folds loaded. Authors: Andreas P. Braun, Callum R. Brodie, Andre Lukas\n Execute ?ModelData for help. Details of the string construction can be found at ",12,RGBColor[0.6, 0.3, 0],FontFamily->"Times"],Style[Hyperlink["http://arXiv.org/abs/1706.07688"],12,RGBColor[0.6, 0.3, 0],FontFamily->"Times"]];

(* Some help *)

ModelData::usage="You have loaded in data for heterotic line bundle SU(5) GUT models on elliptically fibered Calabi-Yau three-folds. This data contains phenomenologically interesting, consistent SU(5) GUT models on elliptically fibered Calabi-Yau three-folds with two sections, as described in the accompanying paper. This means that the models are anomaly-free, the bundles are poly-stable and the indices have the correct values, as required to obtain standard models after the inclusion of Wilson lines. The data is stored for the five different base space / involution choices, so there are five sets of data:\n"<>
"dP3modelData, f9modelData, f13modelData, f15amodelData, f15bmodelData.\n"<>
"In each case, the available data are: models, cohom, extAlgCohom, bundModCohom.\n"<>
"Type ?dataname for information on these.";

models::usage="Matrices specifying the line bundle sum V=\[CirclePlus]\!\(\*SubscriptBox[\(L\), \(a\)]\) in the model. Each row specifies one of the line bundles. In a row, the first two entries correspond to the two sections of the fibration, and the others to pull-backs from the base, as described in the accompanying paper. For example, the line bundle sum in the fifth dP3 model can be extracted by typing (models/.dP3modeldata)[[5]].";

cohom::usage="List of cohomologies for each of the line bundles \!\(\*SubscriptBox[\(L\), \(a\)]\)in the line bundle sum V=\[CirclePlus]\!\(\*SubscriptBox[\(L\), \(a\)]\) specifying the model. Each cohomology entry is of the form (h0,h1,h2,h3). For example, the cohomologies of the line bundles in the fifth dP3 model can be extracted by typing (cohom/.dP3modeldata)[[5]].";

extAlgCohom::usage="List of cohomologies for each of the line bundles in the exterior algebra bundle V\[Wedge]V, i.e. for \!\(\*SubscriptBox[\(L\), \(a\)]\)\[CircleTimes]\!\(\*SubscriptBox[\(L\), \(b\)]\) for a=1,...,5 and b=a+1,...,5, for a given model. Each cohomology entry is of the form (h0,h1,h2,h3). For example, the exterior algebra cohomologies of the line bundles in the fifth dP3 model can be extracted by typing (extAlgCohom/.dP3modeldata)[[5]].";

bundModCohom::usage="List of cohomologies for each of the line bundles bundle V\[CircleTimes]\!\(\*SuperscriptBox[\(V\), \(*\)]\), i.e. for \!\(\*SubscriptBox[\(L\), \(a\)]\)\[CircleTimes]\!\(\*SuperscriptBox[SubscriptBox[\(L\), \(b\)], \(*\)]\) for a=1,...,5 and b=1,...,5, for a given model. Each cohomology entry is of the form (h0,h1,h2,h3). For example, the bundle moduli cohomologies of the line bundles in the fifth dP3 model can be extracted by typing (bundModCohom/.dP3modeldata)[[5]].";

(* The data *)

dP3modelData={
models->{{{-1,-1,-1,1,1,1},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{1,1,-2,2,-1,-1}},{{-1,-1,-1,1,1,1},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{1,1,-2,-1,2,-1}},{{-1,-1,1,-1,1,1},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{1,1,2,-2,-1,-1}},{{-1,-1,1,-1,1,1},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{1,1,-1,-2,2,-1}},{{-1,-1,1,1,-1,1},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{1,1,2,-1,-2,-1}},{{-1,-1,1,1,-1,1},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{1,1,-1,2,-2,-1}},{{-1,-1,-1,1,2,2},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{0,0,3,-1,-2,0},{1,1,-2,-2,2,-2}},{{-1,-1,-1,1,2,2},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{1,1,-2,2,-2,-2}},{{-1,-1,-1,2,1,2},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{0,0,3,-2,-1,0},{1,1,-2,2,-2,-2}},{{-1,-1,-1,2,1,2},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{1,1,-2,-2,2,-2}},{{-1,-1,0,0,2,2},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{0,0,2,1,-3,0},{1,1,0,-3,1,-2}},{{-1,-1,0,0,2,2},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{0,0,1,2,-3,0},{1,1,-3,0,1,-2}},{{-1,-1,0,2,0,2},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{0,0,2,-3,1,0},{1,1,0,1,-3,-2}},{{-1,-1,0,2,0,2},{0,0,1,-3,2,0},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{1,1,-3,1,0,-2}},{{-1,-1,1,-1,2,2},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{1,1,2,-2,-2,-2}},{{-1,-1,1,-1,2,2},{0,0,-1,3,-2,0},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{1,1,-2,-2,2,-2}},{{-1,-1,1,2,-1,2},{0,0,-1,-2,3,0},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{1,1,-2,2,-2,-2}},{{-1,-1,1,2,-1,2},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{1,1,2,-2,-2,-2}},{{-1,-1,2,-1,1,2},{0,0,-2,3,-1,0},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{1,1,2,-2,-2,-2}},{{-1,-1,2,-1,1,2},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{1,1,-2,-2,2,-2}},{{-1,-1,2,0,0,2},{0,0,-3,1,2,0},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{1,1,1,-3,0,-2}},{{-1,-1,2,0,0,2},{0,0,-3,2,1,0},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{1,1,1,0,-3,-2}},{{-1,-1,2,1,-1,2},{0,0,-2,-1,3,0},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{1,1,2,-2,-2,-2}},{{-1,-1,2,1,-1,2},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{1,1,-2,2,-2,-2}},{{-1,-1,-1,1,3,3},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{1,1,1,-4,0,-3}},{{-1,-1,-1,1,3,3},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{0,0,4,-1,-3,0},{1,1,-3,-2,2,-3}},{{-1,-1,-1,1,3,3},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{1,1,-2,2,-3,-3}},{{-1,-1,-1,1,3,3},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{0,0,3,1,-4,0},{1,1,-4,0,1,-3}},{{-1,-1,-1,3,1,3},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{1,1,1,0,-4,-3}},{{-1,-1,-1,3,1,3},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{0,0,4,-3,-1,0},{1,1,-3,2,-2,-3}},{{-1,-1,-1,3,1,3},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{1,1,-2,-3,2,-3}},{{-1,-1,-1,3,1,3},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{0,0,3,-4,1,0},{1,1,-4,1,0,-3}},{{-1,-1,1,-1,3,3},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{1,1,2,-2,-3,-3}},{{-1,-1,1,-1,3,3},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{0,0,1,3,-4,0},{1,1,0,-4,1,-3}},{{-1,-1,1,-1,3,3},{0,0,-1,4,-3,0},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{1,1,-2,-3,2,-3}},{{-1,-1,1,-1,3,3},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{1,1,-4,1,0,-3}},{{-1,-1,1,3,-1,3},{0,0,-1,-3,4,0},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{1,1,-2,2,-3,-3}},{{-1,-1,1,3,-1,3},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{1,1,2,-3,-2,-3}},{{-1,-1,1,3,-1,3},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{0,0,1,-4,3,0},{1,1,0,1,-4,-3}},{{-1,-1,1,3,-1,3},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{1,1,-4,0,1,-3}},{{-1,-1,3,-1,1,3},{0,0,-4,3,1,0},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{1,1,1,-4,0,-3}},{{-1,-1,3,-1,1,3},{0,0,-3,4,-1,0},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{1,1,2,-3,-2,-3}},{{-1,-1,3,-1,1,3},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{1,1,0,1,-4,-3}},{{-1,-1,3,-1,1,3},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{1,1,-3,-2,2,-3}},{{-1,-1,3,1,-1,3},{0,0,-4,1,3,0},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{1,1,1,0,-4,-3}},{{-1,-1,3,1,-1,3},{0,0,-3,-1,4,0},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{1,1,2,-2,-3,-3}},{{-1,-1,3,1,-1,3},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{1,1,0,-4,1,-3}},{{-1,-1,3,1,-1,3},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{1,1,-3,2,-2,-3}},{{-1,-1,-1,1,4,4},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{0,0,1,-1,0,0},{1,1,-2,2,-4,-4}},{{-1,-1,-1,4,1,4},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{0,0,1,0,-1,0},{1,1,-2,-4,2,-4}},{{-1,-1,1,-1,4,4},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{0,0,-1,1,0,0},{1,1,2,-2,-4,-4}},{{-1,-1,1,4,-1,4},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{0,0,-1,0,1,0},{1,1,2,-4,-2,-4}},{{-1,-1,4,-1,1,4},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{0,0,0,1,-1,0},{1,1,-4,-2,2,-4}},{{-1,-1,4,1,-1,4},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{0,0,0,-1,1,0},{1,1,-4,2,-2,-4}}},
cohom->{{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,3,1,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,4,0,0}},{{0,3,1,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,4,0,0}},{{0,3,1,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,4,0,0}},{{0,3,1,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,4,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,3,1,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,4,0,0}},{{0,3,1,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,4,0,0}},{{0,2,2,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,12,12,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,12,12,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,12,12,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,12,12,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,12,12,0},{0,6,0,0}},{{0,3,3,0},{0,12,12,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,12,12,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,12,12,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,12,12,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,12,12,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,12,12,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,12,12,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}}},
extAlgCohom->{{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,2,0},{0,2,2,0},{0,3,1,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,2,2,0},{0,8,8,0},{0,2,2,0},{0,4,0,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,2,0},{0,2,2,0},{0,3,1,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,2,2,0},{0,8,8,0},{0,2,2,0},{0,4,0,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,8,8,0},{0,3,3,0},{0,6,6,0},{0,2,2,0},{0,6,6,0},{0,2,2,0},{0,7,1,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,8,8,0},{0,3,3,0},{0,6,6,0},{0,2,2,0},{0,6,6,0},{0,2,2,0},{0,7,1,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,8,8,0},{0,3,3,0},{0,6,6,0},{0,2,2,0},{0,6,6,0},{0,2,2,0},{0,7,1,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,8,8,0},{0,6,6,0},{0,6,6,0},{0,7,1,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,2,2,0},{0,2,2,0},{0,12,12,0},{0,8,8,0},{0,8,8,0},{0,4,0,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,2,2,0},{0,2,2,0},{0,12,12,0},{0,8,8,0},{0,8,8,0},{0,4,0,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,2,2,0},{0,2,2,0},{0,12,12,0},{0,8,8,0},{0,8,8,0},{0,4,0,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,8,8,0},{0,6,6,0},{0,6,6,0},{0,7,1,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,8,8,0},{0,6,6,0},{0,6,6,0},{0,7,1,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,2,2,0},{0,2,2,0},{0,12,12,0},{0,8,8,0},{0,8,8,0},{0,4,0,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,15,15,0},{0,15,15,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,15,15,0},{0,15,15,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,15,15,0},{0,15,15,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,15,15,0},{0,15,15,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,15,15,0},{0,15,15,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,15,15,0},{0,15,15,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,5,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f9modelData={
models->{{{-1,-1,2,-1,1,-1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{1,1,1,-2,2,-2}},{{-1,-1,2,-1,1,-1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{1,1,1,-2,-1,-2}},{{-1,-1,3,-1,1,-1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{1,1,0,-2,2,-2}},{{-1,-1,3,-1,2,-1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{1,1,0,-2,-2,-2}},{{-1,-1,4,-1,1,-1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{1,1,-1,-2,2,-2}},{{-1,-1,4,-1,3,-1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{1,1,-1,-2,-3,-2}},{{-1,-1,5,-1,1,-1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{1,1,-2,-2,2,-2}},{{-1,-1,5,-1,4,-1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{1,1,-2,-2,-4,-2}},{{-1,-1,6,-1,1,-1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{1,1,-3,-2,2,-2}},{{-1,-1,0,1,-1,1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{1,1,-3,2,-2,2}},{{-1,-1,0,1,1,1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{1,1,-3,2,-1,2}},{{-1,-1,1,1,-1,1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{1,1,-4,2,-2,2}},{{-1,-1,1,1,2,1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{1,1,-4,2,-2,2}},{{-1,-1,2,1,-1,1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{1,1,-5,2,-2,2}},{{-1,-1,2,1,-1,1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{0,0,-1,1,0,1},{1,1,1,-4,1,-4}},{{-1,-1,2,1,3,1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{1,1,-5,2,-3,2}},{{-1,-1,2,1,3,1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{0,0,-1,1,-1,1},{1,1,1,-4,0,-4}},{{-1,-1,3,1,-1,1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{1,1,-6,2,-2,2}},{{-1,-1,3,1,4,1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{1,1,-6,2,-4,2}},{{-1,-1,0,3,-1,3},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{1,1,-3,0,1,0}},{{-1,-1,0,3,1,3},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{0,0,1,-1,1,-1},{1,1,-3,0,-4,0}},{{-1,-1,1,5,-2,5},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{0,0,1,-1,0,-1},{1,1,-4,-2,2,-2}}},
cohom->{{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,18,12,0}},{{0,5,5,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,10,4,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,12,12,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,10,4,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,11,5,0}}},
extAlgCohom->{{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,5,3,0},{0,5,3,0},{0,5,3,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,10,8,0},{0,10,8,0},{0,10,8,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,12,12,0},{0,3,3,0},{0,12,12,0},{0,12,12,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,5,5,0},{0,3,3,0},{0,5,5,0},{0,5,5,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,5,3,0},{0,5,3,0},{0,5,3,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,10,8,0},{0,10,8,0},{0,10,8,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,6,6,0},{0,3,3,0},{0,6,6,0},{0,6,6,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,10,8,0},{0,10,8,0},{0,10,8,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}}},
bundModCohom->{{{1,0,0,1},{0,0,6,0},{0,0,6,0},{0,0,6,0},{0,26,2,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,2,26,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,0,6,0},{0,0,6,0},{0,0,6,0},{0,32,8,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,8,32,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,1,7,0},{0,1,7,0},{0,1,7,0},{0,40,4,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,4,40,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,1,7,0},{0,1,7,0},{0,1,7,0},{0,60,24,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,24,60,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,2,8,0},{0,2,8,0},{0,2,8,0},{0,54,6,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,6,54,0},{0,17,1,0},{0,17,1,0},{0,17,1,0},{1,0,0,1}},{{1,0,0,1},{0,2,8,0},{0,2,8,0},{0,2,8,0},{0,96,48,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,4,20,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,4,20,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,4,20,0},{0,48,96,0},{0,20,4,0},{0,20,4,0},{0,20,4,0},{1,0,0,1}},{{1,0,0,1},{0,3,9,0},{0,3,9,0},{0,3,9,0},{0,68,8,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,8,68,0},{0,18,2,0},{0,18,2,0},{0,18,2,0},{1,0,0,1}},{{1,0,0,1},{0,4,10,0},{0,4,10,0},{0,4,10,0},{0,140,80,0},{0,10,4,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,8,24,0},{0,10,4,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,8,24,0},{0,10,4,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,8,24,0},{0,80,140,0},{0,24,8,0},{0,24,8,0},{0,24,8,0},{1,0,0,1}},{{1,0,0,1},{0,4,10,0},{0,4,10,0},{0,4,10,0},{0,82,10,0},{0,10,4,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,3,19,0},{0,10,4,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,3,19,0},{0,10,4,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,3,19,0},{0,10,82,0},{0,19,3,0},{0,19,3,0},{0,19,3,0},{1,0,0,1}},{{1,0,0,1},{0,0,6,0},{0,0,6,0},{0,0,6,0},{0,26,2,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,2,26,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,0,6,0},{0,0,6,0},{0,0,6,0},{0,26,2,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,2,26,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,1,7,0},{0,1,7,0},{0,1,7,0},{0,40,4,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,7,1,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,4,40,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,3,9,0},{0,3,9,0},{0,3,9,0},{0,46,10,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,10,46,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,2,8,0},{0,2,8,0},{0,2,8,0},{0,54,6,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,8,2,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,6,54,0},{0,17,1,0},{0,17,1,0},{0,17,1,0},{1,0,0,1}},{{1,0,0,1},{0,0,6,0},{0,0,6,0},{0,0,6,0},{0,56,8,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,6,0,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,8,56,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,6,12,0},{0,6,12,0},{0,6,12,0},{0,74,26,0},{0,12,6,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,12,6,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,12,6,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,1,17,0},{0,26,74,0},{0,17,1,0},{0,17,1,0},{0,17,1,0},{1,0,0,1}},{{1,0,0,1},{0,6,12,0},{0,6,12,0},{0,6,12,0},{0,72,24,0},{0,12,6,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,12,6,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,12,6,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,0,16,0},{0,24,72,0},{0,16,0,0},{0,16,0,0},{0,16,0,0},{1,0,0,1}},{{1,0,0,1},{0,3,9,0},{0,3,9,0},{0,3,9,0},{0,68,8,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,9,3,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,8,68,0},{0,18,2,0},{0,18,2,0},{0,18,2,0},{1,0,0,1}},{{1,0,0,1},{0,12,18,0},{0,12,18,0},{0,12,18,0},{0,110,50,0},{0,18,12,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,18,12,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,18,12,0},{1,0,0,1},{1,0,0,1},{1,0,0,1},{0,2,18,0},{0,50,110,0},{0,18,2,0},{0,18,2,0},{0,18,2,0},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};

f13modelData={
models->{{{-1,-1,1,1,1,-1,2,-1},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,-1,1,-1,1,-2,1},{1,1,-2,0,-2,0,2,0}},{{-1,-1,1,2,1,-1,1,-1},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{1,1,-4,1,-4,1,-1,1}},{{-1,-1,1,2,1,-1,3,-1},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-4,1,-4,1,0,1}},{{-1,-1,1,2,1,-1,3,-1},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,-1,1,-1,1,-3,1},{1,1,-2,-1,-2,0,2,0}},{{-1,-1,2,0,2,-1,1,-1},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-2,2,-2,1,-1,1},{1,1,2,-4,2,0,-2,0}},{{-1,-1,3,0,3,-1,1,-1},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{1,1,0,-3,0,1,-1,1}},{{-1,-1,3,0,3,-1,1,-1},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,0,-3,0,1,-4,1}},{{-1,-1,3,0,3,-1,1,-1},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-3,3,-3,1,-1,1},{1,1,2,-5,2,0,-2,0}},{{-1,-1,-1,2,-1,0,1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,1,-2,0,2,0}},{{-1,-1,-1,2,-1,0,1,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{1,1,-2,1,-2,0,-1,0}},{{-1,-1,-1,3,-1,0,1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,0,-2,0,2,0}},{{-1,-1,-1,3,-1,0,2,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{1,1,-2,0,-2,0,-2,0}},{{-1,-1,-1,4,-1,0,1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,-1,-2,0,2,0}},{{-1,-1,-1,4,-1,0,3,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{1,1,-2,-1,-2,0,-3,0}},{{-1,-1,-1,5,-1,0,1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,-2,-2,0,2,0}},{{-1,-1,-1,6,-1,0,1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,-3,-2,0,2,0}},{{-1,-1,0,2,0,0,0,0},{0,0,1,-1,1,-1,2,-1},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-3,1,-3,1,0,1}},{{-1,-1,0,2,0,0,0,0},{0,0,2,-2,2,-1,1,-1},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,0,-2,0,1,-3,1}},{{-1,-1,1,0,1,0,-1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,2,-3,2,0,-2,0}},{{-1,-1,1,0,1,0,1,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{1,1,2,-3,2,0,-1,0}},{{-1,-1,1,1,1,0,-1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,2,-4,2,0,-2,0}},{{-1,-1,1,1,1,0,2,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{1,1,2,-4,2,0,-2,0}},{{-1,-1,1,2,1,0,-1,0},{0,0,1,-1,1,-1,3,-1},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,0,-3,0,1,-4,1}},{{-1,-1,1,2,1,0,-1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,2,-5,2,0,-2,0}},{{-1,-1,1,2,1,0,-1,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{1,1,-4,1,-4,0,1,0}},{{-1,-1,1,2,1,0,3,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{1,1,2,-5,2,0,-3,0}},{{-1,-1,1,2,1,0,3,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-4,1,-4,0,0,0}},{{-1,-1,1,3,1,0,-1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,2,-6,2,0,-2,0}},{{-1,-1,3,0,3,0,-1,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{1,1,0,-3,0,0,1,0}},{{-1,-1,3,0,3,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,0,-3,0,0,-4,0}},{{-1,-1,-1,2,-1,1,-1,1},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{1,1,-2,1,-2,-1,1,-1}},{{-1,-1,-1,2,-1,1,1,1},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,1,-2,-1,2,-1}},{{-1,-1,1,0,1,1,-1,1},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{1,1,2,-3,2,-1,1,-1}},{{-1,-1,1,0,1,1,-1,1},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,2,-3,2,-1,-2,-1}},{{-1,-1,-1,3,-1,2,-2,2},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{1,1,-2,0,-2,-2,2,-2}},{{-1,-1,-1,3,-1,2,1,2},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,0,-2,-2,2,-2}},{{-1,-1,0,2,0,2,0,2},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,1,-2,1},{1,1,3,-5,3,-3,0,-3}},{{-1,-1,0,2,0,2,0,2},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{0,0,-2,2,-2,1,-1,1},{1,1,0,-2,0,-3,3,-3}},{{-1,-1,1,1,1,2,-2,2},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{1,1,2,-4,2,-2,2,-2}},{{-1,-1,1,1,1,2,-1,2},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,2,-4,2,-2,-2,-2}},{{-1,-1,-2,4,-2,3,-1,3},{0,0,2,-2,2,-1,1,-1},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,0,-2,-2,2,-2}},{{-1,-1,-1,3,-1,3,-2,3},{0,0,1,-1,1,-1,2,-1},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{1,1,2,-4,2,-2,-2,-2}},{{-1,-1,-1,4,-1,3,-3,3},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{0,0,1,-1,1,0,0,0},{1,1,-2,-1,-2,-3,3,-3}},{{-1,-1,1,2,1,3,-3,3},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{0,0,-1,1,-1,0,0,0},{1,1,2,-5,2,-3,3,-3}},{{-1,-1,1,2,1,3,-1,3},{0,0,-1,1,-1,0,1,0},{0,0,-1,1,-1,0,1,0},{0,0,-3,3,-3,1,-1,1},{1,1,4,-7,4,-4,0,-4}},{{-1,-1,-3,6,-3,4,-1,4},{0,0,3,-3,3,-1,1,-1},{0,0,1,-1,1,0,-1,0},{0,0,1,-1,1,0,-1,0},{1,1,-2,-1,-2,-3,2,-3}}},
cohom->{{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,7,1,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,8,2,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,7,1,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,8,2,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,5,5,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,10,4,0}},{{0,3,1,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,4,0,0}},{{0,3,1,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,5,1,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,3,3,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,6,4,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,8,4,0}},{{0,6,4,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,10,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,6,6,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,10,10,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,10,10,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,16,10,0}},{{0,10,10,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}}},
extAlgCohom->{{{0,2,2,0},{0,2,2,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,4,0,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,3,3,0}},{{0,2,2,0},{0,2,2,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,5,1,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,4,4,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,5,3,0},{0,5,3,0},{0,5,3,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,5,5,0},{0,3,3,0},{0,5,5,0},{0,5,5,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,2,2,0},{0,7,1,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,2,2,0},{0,7,1,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,14,14,0},{0,9,9,0},{0,9,9,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,5,3,0},{0,5,3,0},{0,5,3,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,6,6,0},{0,2,2,0},{0,6,6,0},{0,12,6,0}},{{0,4,4,0},{0,4,4,0},{0,6,6,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,9,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,4,4,0},{0,4,4,0},{0,8,8,0},{0,4,4,0},{0,4,4,0},{0,10,6,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,6,0},{0,6,6,0},{0,8,8,0},{0,4,4,0},{0,4,4,0},{0,8,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,10,8,0},{0,10,8,0},{0,10,8,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,10,10,0},{0,3,3,0},{0,10,10,0},{0,10,10,0}},{{0,10,8,0},{0,10,8,0},{0,10,8,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,10,8,0},{0,10,8,0},{0,10,8,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,10,10,0},{0,9,9,0},{0,10,10,0},{0,10,10,0}},{{0,10,8,0},{0,10,8,0},{0,10,8,0},{0,14,14,0},{0,9,9,0},{0,9,9,0},{0,10,10,0},{0,3,3,0},{0,10,10,0},{0,10,10,0}}},
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extAlgCohom->{{{0,10,8,0},{0,10,8,0},{0,6,4,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,8,8,0},{0,9,9,0},{0,8,8,0},{0,8,8,0}},{{0,6,4,0},{0,6,4,0},{0,10,8,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,8,8,0},{0,15,15,0},{0,8,8,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,10,8,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,8,8,0},{0,9,9,0},{0,8,8,0},{0,3,3,0}},{{0,10,8,0},{0,10,8,0},{0,4,2,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,8,8,0}},{{0,10,8,0},{0,10,8,0},{0,6,4,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,8,8,0},{0,9,9,0},{0,8,8,0},{0,8,8,0}},{{0,6,4,0},{0,6,4,0},{0,10,8,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,8,8,0},{0,15,15,0},{0,8,8,0},{0,3,3,0}},{{0,10,8,0},{0,10,8,0},{0,4,2,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,8,8,0}},{{0,6,4,0},{0,6,4,0},{0,10,8,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,8,8,0},{0,9,9,0},{0,8,8,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,2,2,0},{0,2,2,0},{0,6,4,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,4,4,0},{0,8,8,0},{0,4,4,0},{0,4,0,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,2,2,0},{0,2,2,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,0,0}},{{0,4,4,0},{0,4,4,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,8,4,0}},{{0,4,4,0},{0,4,4,0},{0,3,1,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,2,2,0},{0,8,8,0},{0,2,2,0},{0,8,4,0}},{{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,7,1,0}},{{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,8,8,0},{0,3,3,0},{0,6,6,0},{0,2,2,0},{0,6,6,0},{0,2,2,0},{0,7,1,0}},{{0,4,4,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,9,3,0}},{{0,4,4,0},{0,4,4,0},{0,2,2,0},{0,8,8,0},{0,3,3,0},{0,6,6,0},{0,4,4,0},{0,6,6,0},{0,4,4,0},{0,9,3,0}},{{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,7,1,0}},{{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,8,8,0},{0,3,3,0},{0,6,6,0},{0,2,2,0},{0,6,6,0},{0,2,2,0},{0,7,1,0}},{{0,4,4,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,9,3,0}},{{0,4,4,0},{0,4,4,0},{0,2,2,0},{0,8,8,0},{0,3,3,0},{0,6,6,0},{0,4,4,0},{0,6,6,0},{0,4,4,0},{0,9,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,2,2,0},{0,2,2,0},{0,6,4,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,4,4,0},{0,8,8,0},{0,4,4,0},{0,4,0,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,4,0},{0,4,4,0},{0,3,1,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,2,2,0},{0,8,8,0},{0,2,2,0},{0,8,4,0}},{{0,4,4,0},{0,4,4,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,8,4,0}},{{0,2,2,0},{0,2,2,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,0,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,10,10,0},{0,3,3,0},{0,5,5,0},{0,1,1,0},{0,5,5,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,4,4,0},{0,4,4,0},{0,6,4,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,4,4,0},{0,8,8,0},{0,4,4,0},{0,8,4,0}},{{0,2,2,0},{0,2,2,0},{0,3,1,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,2,2,0},{0,8,8,0},{0,2,2,0},{0,4,0,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,16,16,0},{0,3,3,0},{0,11,11,0},{0,2,2,0},{0,11,11,0},{0,2,2,0},{0,2,2,0}},{{0,6,4,0},{0,6,4,0},{0,4,2,0},{0,26,26,0},{0,3,3,0},{0,21,21,0},{0,3,3,0},{0,21,21,0},{0,3,3,0},{0,8,8,0}},{{0,10,8,0},{0,4,2,0},{0,4,2,0},{0,14,14,0},{0,9,9,0},{0,9,9,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,6,4,0},{0,26,26,0},{0,3,3,0},{0,21,21,0},{0,3,3,0},{0,21,21,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,26,26,0},{0,3,3,0},{0,21,21,0},{0,3,3,0},{0,21,21,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,3,3,0}},{{0,2,2,0},{0,2,2,0},{0,3,1,0},{0,12,12,0},{0,3,3,0},{0,8,8,0},{0,2,2,0},{0,8,8,0},{0,2,2,0},{0,4,0,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,20,20,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,15,15,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,3,3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cohom->{{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,10,10,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,12,6,0}},{{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,9,3,0}},{{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,9,3,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,5,5,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,10,4,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,12,6,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,6,0,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,12,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,18,18,0},{0,12,6,0}},{{0,4,4,0},{0,18,18,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,3,1,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,5,1,0}},{{0,3,1,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,5,1,0}},{{0,3,1,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,4,0,0}},{{0,3,1,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,4,0,0}},{{0,6,4,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,8,4,0}},{{0,6,4,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,8,4,0}},{{0,6,4,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,8,4,0}},{{0,6,4,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,8,4,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,4,4,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,1,1,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,8,8,0},{0,7,1,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,6,6,0},{0,8,2,0}},{{0,3,3,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,8,8,0},{0,18,18,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,18,18,0},{0,8,2,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,9,3,0}},{{0,2,2,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,2,2,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,10,10,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,16,10,0}},{{0,8,8,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,2,2,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,2,2,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,7,1,0}},{{0,3,3,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,2,2,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,6,6,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,3,3,0},{0,2,2,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,6,0,0}},{{0,3,3,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,8,2,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}},{{0,4,4,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,12,6,0}}},
extAlgCohom->{{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,10,8,0},{0,10,8,0},{0,10,8,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,10,10,0},{0,9,9,0},{0,10,10,0},{0,8,8,0}},{{0,4,4,0},{0,4,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,8,4,0}},{{0,4,4,0},{0,4,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,8,4,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,10,10,0},{0,3,3,0},{0,5,5,0},{0,2,2,0},{0,5,5,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,5,3,0},{0,5,3,0},{0,5,3,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,5,5,0},{0,3,3,0},{0,5,5,0},{0,5,5,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,10,10,0},{0,5,5,0},{0,5,5,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,6,6,0},{0,6,6,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,8,4,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,14,14,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,9,9,0},{0,3,3,0},{0,3,3,0}},{{0,5,3,0},{0,5,3,0},{0,5,3,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,16,16,0},{0,11,11,0},{0,11,11,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,6,0},{0,6,6,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,8,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,26,26,0},{0,3,3,0},{0,21,21,0},{0,8,8,0},{0,21,21,0},{0,8,8,0},{0,8,8,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,26,26,0},{0,21,21,0},{0,21,21,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,6,4,0},{0,6,4,0},{0,6,4,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,8,8,0},{0,3,3,0},{0,8,8,0},{0,8,8,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,7,1,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,7,1,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,7,1,0}},{{0,2,2,0},{0,2,2,0},{0,2,2,0},{0,4,4,0},{0,2,2,0},{0,2,2,0},{0,7,1,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,6,6,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,2,2,0},{0,2,2,0},{0,9,3,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,6,6,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,2,2,0},{0,2,2,0},{0,9,3,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,2,2,0},{0,2,2,0},{0,12,6,0},{0,3,3,0},{0,6,6,0},{0,6,6,0}},{{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,4,4,0},{0,3,3,0},{0,2,2,0},{0,6,6,0},{0,2,2,0},{0,6,6,0},{0,12,6,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,3,1,0},{0,3,1,0},{0,3,1,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,2,2,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,3,1,0},{0,2,2,0},{0,2,2,0},{0,8,8,0},{0,4,4,0},{0,4,4,0},{0,4,0,0},{0,3,3,0},{0,2,2,0},{0,2,2,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,4,2,0},{0,4,2,0},{0,4,2,0},{0,14,14,0},{0,9,9,0},{0,9,9,0},{0,3,3,0},{0,3,3,0},{0,3,3,0},{0,3,3,0}},{{0,5,3,0},{0,5,3,0},{0,5,3,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,4,4,0},{0,3,3,0},{0,4,4,0},{0,4,4,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,8,8,0},{0,3,3,0},{0,3,3,0},{0,1,1,0},{0,3,3,0},{0,1,1,0},{0,1,1,0}},{{0,2,0,0},{0,2,0,0},{0,2,0,0},{0,10,10,0},{0,3,3,0},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