############################################################################## ## ## Green functions for ## E_7(q), q power of good prime, adjoint group ## ## http://www.math.rwth-aachen.de/~Frank.Luebeck/chev/Green/ ## Frank.Luebeck@Math.RWTH-Aachen.de ## ## This file can be read with GAP 3 or GAP 4. # defining q if not bound and a helper function if not IsBound(SetName) then FamilyObj:=0;LaurentPolynomialByCoefficients:=0; fi; if not IsBound(q) then q := Indeterminate(Cyclotomics); if not IsBound(SetName) then q.name := "q"; else SetName(q,"q"); fi; fi; if q = Indeterminate(Cyclotomics) then if not IsBound(SetName) then tmpf:=function(cv) return Polynomial(Cyclotomics,cv[1],cv[2]);end; else tmpf := function(cv) return LaurentPolynomialByCoefficients( FamilyObj(1),cv[1],cv[2]); end; fi; else if not IsBound(SetName) then tmpf:=function(cv) return Value(Polynomial(Cyclotomics,cv[1],cv[2]),q);end; else tmpf := function(cv) return Value(LaurentPolynomialByCoefficients( FamilyObj(1),cv[1],cv[2]),q); end; fi; fi; tmpff := function(t) t.GFOrder := tmpf(t.GFOrder); t.classLengths := List(t.classLengths,tmpf); t.table := List(t.table,r-> List(r,tmpf)); end; greenE7good := rec( classLengths := [ [ [ 1 ], 0 ], [ [ -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1 ], 0 ], [ [ 1, 0, 1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 2, 0, 0, 0, 0, 0, -3, 0, -3, 0, -5, 0, -4, 0, -5, 0, -3, 0, -3, 0, 0, 0, 0, 0, 2, 0, 2, 0, 3, 0, 2, 0, 2, 0, 1, 0, 1 ], 4 ], [ [ -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 12 ], [ [ -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -1, 0, 0, 0, 2, 0, 3, 0, 5, 0, 5, 0, 5, 0, 4, 0, 2, 0, 0, 0, -2, 0, -4, 0, -5, 0, -5, 0, -5, 0, -3, 0, -2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1 ], 8 ], [ [ 1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1, 1/2, 1/2, 1/2, 1/2, 0, 1/2, 0, -1/2, -1/2, -1/2, -1/2, -1, -1, -3/2, -1, -1, -1, -3/2, -1, -1, -1/2, -1/2, -1/2, -1/2, 0, 1/2, 0, 1/2, 1/2, 1/2, 1/2, 1, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 0, 0, 1/2 ], 16 ], [ [ 1/2, 0, 0, -1/2, 1/2, -1/2, 1/2, -1/2, 1/2, -1, 1/2, -1/2, 1/2, -1/2, 0, -1/2, 0, 1/2, -1/2, 1/2, -1/2, 1, -1, 3/2, -1, 1, -1, 3/2, -1, 1, -1/2, 1/2, -1/2, 1/2, 0, -1/2, 0, -1/2, 1/2, -1/2, 1/2, -1, 1/2, -1/2, 1/2, -1/2, 1/2, -1/2, 0, 0, 1/2 ], 16 ], [ [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 ], 12 ], [ [ -1/2, -1/2, -1/2, -1, -3/2, -3/2, -3/2, -2, -2, -2, -3/2, -3/2, -1, -1/2, 1/2, 1, 3/2, 5/2, 7/2, 4, 4, 5, 5, 5, 9/2, 9/2, 7/2, 3, 2, 1, 0, -1, -2, -3, -7/2, -9/2, -9/2, -5, -5, -5, -4, -4, -7/2, -5/2, -3/2, -1, -1/2, 1/2, 1, 3/2, 3/2, 2, 2, 2, 3/2, 3/2, 3/2, 1, 1/2, 1/2, 1/2 ], 16 ], [ [ -1/2, 1/2, -1/2, 1, -3/2, 3/2, -3/2, 2, -2, 2, -3/2, 3/2, -1, 1/2, 1/2, -1, 3/2, -5/2, 7/2, -4, 4, -5, 5, -5, 9/2, -9/2, 7/2, -3, 2, -1, 0, 1, -2, 3, -7/2, 9/2, -9/2, 5, -5, 5, -4, 4, -7/2, 5/2, -3/2, 1, -1/2, -1/2, 1, -3/2, 3/2, -2, 2, -2, 3/2, -3/2, 3/2, -1, 1/2, -1/2, 1/2 ], 16 ], [ [ 1, 0, 2, 0, 3, 0, 3, 0, 2, 0, 0, 0, -3, 0, -6, 0, -8, 0, -9, 0, -8, 0, -5, 0, -1, 0, 4, 0, 8, 0, 11, 0, 12, 0, 11, 0, 8, 0, 4, 0, -1, 0, -5, 0, -8, 0, -9, 0, -8, 0, -6, 0, -3, 0, 0, 0, 2, 0, 3, 0, 3, 0, 2, 0, 1 ], 18 ], [ [ -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, -1, 0, -2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1 ], 22 ], [ [ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -2, 0, -3, 0, -3, 0, -3, 0, -2, 0, 0, 0, 1, 0, 3, 0, 4, 0, 4, 0, 4, 0, 3, 0, 1, 0, 0, 0, -2, 0, -3, 0, -3, 0, -3, 0, -2, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1 ], 24 ], [ [ -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -1, 0, 0, 0, 2, 0, 3, 0, 5, 0, 5, 0, 5, 0, 4, 0, 2, 0, 0, 0, -2, 0, -4, 0, -5, 0, -5, 0, -5, 0, -3, 0, -2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1 ], 28 ], [ [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 ], 28 ], [ [ -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 3, 0, 2, 0, 1, 0, -1, 0, -3, 0, -4, 0, -5, 0, -4, 0, -3, 0, -1, 0, 1, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 1, 0, -1, 0, -2, 0, -3, 0, -3, 0, -2, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1 ], 24 ], [ [ 1, 0, 2, 0, 3, 0, 3, 0, 2, 0, 0, 0, -3, 0, -6, 0, -8, 0, -9, 0, -8, 0, -5, 0, -1, 0, 4, 0, 8, 0, 11, 0, 12, 0, 11, 0, 8, 0, 4, 0, -1, 0, -5, 0, -8, 0, -9, 0, -8, 0, -6, 0, -3, 0, 0, 0, 2, 0, 3, 0, 3, 0, 2, 0, 1 ], 28 ], [ [ 1/6, 0, 1/3, 0, 1/2, 0, 1/2, 0, 1/3, 0, 0, 0, -1/2, 0, -1, 0, -4/3, 0, -3/2, 0, -4/3, 0, -5/6, 0, -1/6, 0, 2/3, 0, 4/3, 0, 11/6, 0, 2, 0, 11/6, 0, 4/3, 0, 2/3, 0, -1/6, 0, -5/6, 0, -4/3, 0, -3/2, 0, -4/3, 0, -1, 0, -1/2, 0, 0, 0, 1/3, 0, 1/2, 0, 1/2, 0, 1/3, 0, 1/6 ], 30 ], [ [ -1/2, 0, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 1, 0, 1/2, 0, 1, 0, 0, 0, 1/2, 0, -1, 0, -1/2, 0, -3/2, 0, -1, 0, -1, 0, -1/2, 0, 0, 0, 1/2, 0, 1, 0, 1, 0, 3/2, 0, 1/2, 0, 1, 0, -1/2, 0, 0, 0, -1, 0, -1/2, 0, -1, 0, 0, 0, -1/2, 0, 1/2, 0, 0, 0, 1/2 ], 30 ], [ [ 1/3, 0, -1/3, 0, 0, 0, 0, 0, -1/3, 0, 0, 0, 0, 0, 0, 0, 1/3, 0, 0, 0, 1/3, 0, 1/3, 0, -1/3, 0, 1/3, 0, -1/3, 0, -1/3, 0, 0, 0, -1/3, 0, -1/3, 0, 1/3, 0, -1/3, 0, 1/3, 0, 1/3, 0, 0, 0, 1/3, 0, 0, 0, 0, 0, 0, 0, -1/3, 0, 0, 0, 0, 0, -1/3, 0, 1/3 ], 30 ], [ [ -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 3, 0, 2, 0, 1, 0, -1, 0, -3, 0, -4, 0, -5, 0, -4, 0, -3, 0, -1, 0, 1, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 1, 0, -1, 0, -2, 0, -3, 0, -3, 0, -2, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1 ], 28 ], [ [ -1/2, 0, -1/2, 0, -1/2, 0, 0, 0, 1/2, 0, 1, 0, 3/2, 0, 3/2, 0, 1, 0, 1/2, 0, -1/2, 0, -3/2, 0, -2, 0, -5/2, 0, -2, 0, -3/2, 0, -1/2, 0, 1/2, 0, 3/2, 0, 2, 0, 5/2, 0, 2, 0, 3/2, 0, 1/2, 0, -1/2, 0, -1, 0, -3/2, 0, -3/2, 0, -1, 0, -1/2, 0, 0, 0, 1/2, 0, 1/2, 0, 1/2 ], 30 ], [ [ 1/2, 0, -1/2, 0, 1/2, 0, -1, 0, 1/2, 0, -1, 0, 1/2, 0, -1/2, 0, 1, 0, -1/2, 0, 3/2, 0, -1/2, 0, 1, 0, -1/2, 0, 0, 0, -1/2, 0, -1/2, 0, -1/2, 0, -1/2, 0, 0, 0, -1/2, 0, 1, 0, -1/2, 0, 3/2, 0, -1/2, 0, 1, 0, -1/2, 0, 1/2, 0, -1, 0, 1/2, 0, -1, 0, 1/2, 0, -1/2, 0, 1/2 ], 30 ], [ [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 ], 38 ], [ [ -1/2, -1/2, -1/2, -1/2, -1/2, -1/2, 0, 0, 1/2, 1/2, 1, 1, 3/2, 3/2, 3/2, 3/2, 1, 1, 1/2, 1/2, -1/2, -1/2, -3/2, -3/2, -2, -2, -5/2, -5/2, -2, -2, -3/2, -3/2, -1/2, -1/2, 1/2, 1/2, 3/2, 3/2, 2, 2, 5/2, 5/2, 2, 2, 3/2, 3/2, 1/2, 1/2, -1/2, -1/2, -1, -1, -3/2, -3/2, -3/2, -3/2, -1, -1, -1/2, -1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2 ], 31 ], [ [ 1/2, -1/2, 1/2, -1/2, 1/2, -1/2, 0, 0, -1/2, 1/2, -1, 1, -3/2, 3/2, -3/2, 3/2, -1, 1, -1/2, 1/2, 1/2, -1/2, 3/2, -3/2, 2, -2, 5/2, -5/2, 2, -2, 3/2, -3/2, 1/2, -1/2, -1/2, 1/2, -3/2, 3/2, -2, 2, -5/2, 5/2, -2, 2, -3/2, 3/2, -1/2, 1/2, 1/2, -1/2, 1, -1, 3/2, -3/2, 3/2, -3/2, 1, -1, 1/2, -1/2, 0, 0, -1/2, 1/2, -1/2, 1/2, -1/2, 1/2 ], 31 ], [ [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1 ], 32 ], [ [ 1/2, 1/2, 1/2, 1, 1, 1, 1, 1, 1/2, 1/2, 0, -1/2, -1, -3/2, -2, -5/2, -5/2, -3, -3, -3, -5/2, -5/2, -3/2, -1, -1/2, 1/2, 3/2, 2, 5/2, 7/2, 7/2, 4, 4, 4, 7/2, 7/2, 5/2, 2, 3/2, 1/2, -1/2, -1, -3/2, -5/2, -5/2, -3, -3, -3, -5/2, -5/2, -2, -3/2, -1, -1/2, 0, 1/2, 1/2, 1, 1, 1, 1, 1, 1/2, 1/2, 1/2 ], 36 ], [ [ 1/2, -1/2, 1/2, -1, 1, -1, 1, -1, 1/2, -1/2, 0, 1/2, -1, 3/2, -2, 5/2, -5/2, 3, -3, 3, -5/2, 5/2, -3/2, 1, -1/2, -1/2, 3/2, -2, 5/2, -7/2, 7/2, -4, 4, -4, 7/2, -7/2, 5/2, -2, 3/2, -1/2, -1/2, 1, -3/2, 5/2, -5/2, 3, -3, 3, -5/2, 5/2, -2, 3/2, -1, 1/2, 0, -1/2, 1/2, -1, 1, -1, 1, -1, 1/2, -1/2, 1/2 ], 36 ], [ [ -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, -2, 0, -1, 0, -3, 0, -2, 0, -2, 0, -1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 3, 0, 1, 0, 2, 0, -1, 0, 0, 0, -2, 0, -1, 0, -2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1 ], 38 ], [ [ -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, -1, 0, -2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1 ], 40 ], [ [ -1/2, -1, -1, -1, -1, -1, -1/2, 0, 1/2, 1, 3/2, 2, 5/2, 3, 3, 3, 5/2, 2, 3/2, 1, 0, -1, -2, -3, -7/2, -4, -9/2, -5, -9/2, -4, -7/2, -3, -2, -1, 0, 1, 2, 3, 7/2, 4, 9/2, 5, 9/2, 4, 7/2, 3, 2, 1, 0, -1, -3/2, -2, -5/2, -3, -3, -3, -5/2, -2, -3/2, -1, -1/2, 0, 1/2, 1, 1, 1, 1, 1, 1/2 ], 36 ], [ [ -1/2, 1, -1, 1, -1, 1, -1/2, 0, 1/2, -1, 3/2, -2, 5/2, -3, 3, -3, 5/2, -2, 3/2, -1, 0, 1, -2, 3, -7/2, 4, -9/2, 5, -9/2, 4, -7/2, 3, -2, 1, 0, -1, 2, -3, 7/2, -4, 9/2, -5, 9/2, -4, 7/2, -3, 2, -1, 0, 1, -3/2, 2, -5/2, 3, -3, 3, -5/2, 2, -3/2, 1, -1/2, 0, 1/2, -1, 1, -1, 1, -1, 1/2 ], 36 ], [ [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, -1, 0, -1, 0, -2, 0, -2, 0, -2, 0, -1, 0, -1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1 ], 38 ], [ [ -1/2, -1/2, -1/2, -1/2, -1/2, -1/2, 0, 0, 1/2, 1/2, 1, 1, 3/2, 3/2, 3/2, 3/2, 1, 1, 1/2, 1/2, -1/2, -1/2, -3/2, -3/2, -2, -2, -5/2, -5/2, -2, -2, -3/2, -3/2, -1/2, -1/2, 1/2, 1/2, 3/2, 3/2, 2, 2, 5/2, 5/2, 2, 2, 3/2, 3/2, 1/2, 1/2, -1/2, -1/2, -1, -1, -3/2, -3/2, -3/2, -3/2, -1, -1, -1/2, -1/2, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2 ], 39 ], [ [ 1/2, -1/2, 1/2, -1/2, 1/2, -1/2, 0, 0, -1/2, 1/2, -1, 1, -3/2, 3/2, -3/2, 3/2, -1, 1, -1/2, 1/2, 1/2, -1/2, 3/2, -3/2, 2, -2, 5/2, -5/2, 2, -2, 3/2, -3/2, 1/2, -1/2, -1/2, 1/2, -3/2, 3/2, -2, 2, -5/2, 5/2, -2, 2, -3/2, 3/2, -1/2, 1/2, 1/2, -1/2, 1, -1, 3/2, -3/2, 3/2, -3/2, 1, -1, 1/2, -1/2, 0, 0, -1/2, 1/2, -1/2, 1/2, -1/2, 1/2 ], 39 ], [ [ 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, -1, 0, -1, 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[ 1, 1, -1, -1, -2, -2, 2, 1, -1, 1, 1 ], 0 ], [ [ 1, 1, -1, -1, -1, -2, 1, 3, 0, -1 ], 0 ], [ [ 1, 1, -1, -1, -1, -2, 1, 3, 0, -1 ], 0 ], [ [ 1, 1, -1, -2, -1, 0, 1, 1 ], 0 ], [ [ 1, 1, -1, -1, -1, -1, 1, 1 ], 0 ], [ [ 1, 1, -1, 0, -1, -3, 2, 2, -1 ], 0 ], [ [ 1, 1, -1, -2, -1, -1, 0, 2, 1 ], 0 ], [ [ 1, 1, -1, -1, -1, -1, 1, 1 ], 0 ], [ [ 1, 1, -1, 0, -1, -2, 2 ], 0 ], [ [ 1, 1, -1, -2, -1 ], 0 ], [ [ 1, 1, -1, -3, -1, 1, 2 ], 0 ], [ [ 1, 1, -1, -2, -1, 1, 1 ], 0 ] , [ [ 1, 1, -1, -1 ], 0 ], [ [ 1, 1, -1, -2, 0, 1 ], 0 ], [ [ 1, 1, -1, -2, 0, 1 ], 0 ], [ [ 1, 1, -1, -2, 0, 1 ], 0 ], [ [ 1, 1, -1, -1 ], 0 ], [ [ 1, 1, 0, -2 ], 0 ], [ [ 1, 1, -2, -2 ], 0 ], [ [ 1, 1, -1, -1 ], 0 ], [ [ 1, 1 ], 0 ], [ [ 1, 1, -2, -2 ], 0 ], [ [ 1, 1, -1 ], 0 ], [ [ 1, 1 ], 0 ], [ [ 1 ], 0 ] ] ], name := "Green( E_7(q) ), 1 mod 6", classInfo := [ [ "A_0", 1 ], [ "A_1", 1 ], [ "2A_1", 1 ], [ "3A_1''", 1 ], [ "3A_1'", 1 ], [ "A_2", 1 ], [ "A_2", 2 ], [ "4A_1", 1 ], [ "A_2+A_1", 1 ], [ "A_2+A_1", 2 ], [ "A_2+2A_1", 1 ], [ "A_2+3A_1", 1 ], [ "2A_2", 1 ], [ "A_3", 1 ], [ "(A_3+A_1)''", 1 ], [ "2A_2+A_1", 1 ], [ "(A_3+A_1)'", 1 ], [ "D_4(a_1)", 1 ], [ "D_4(a_1)", 2 ], [ "D_4(a_1)", 3 ], [ "A_3+2A_1", 1 ], [ "D_4(a_1)+A_1", 1 ], [ "D_4(a_1)+A_1", 2 ], [ "D_4", 1 ], [ "A_3+A_2", 1 ], [ "A_3+A_2", 2 ], [ "A_3+A_2+A_1", 1 ], [ "A_4", 1 ], [ "A_4", 2 ], [ "D_4+A_1", 1 ], [ "A_5''", 1 ], [ "A_4+A_1", 1 ], [ "A_4+A_1", 2 ], [ "A_4+A_2", 1 ], [ "D_5(a_1)", 1 ], [ "D_5(a_1)", 2 ], [ "D_5(a_1)+A_1", 1 ], [ "A_5'", 1 ], [ "(A_5+A_1)''", 1 ], [ "D_6(a_2)", 1 ], [ "(A_5+A_1)'", 1 ], [ "(A_5+A_1)'", 2 ], [ "D_5", 1 ], [ "D_6(a_2)+A_1", 1 ], [ "D_6(a_2)+A_1", 2 ], [ "D_6(a_2)+A_1", 3 ], [ "D_5+A_1", 1 ], [ "D_6(a_1)", 1 ], [ "A_6", 1 ], [ "D_6(a_1)+A_1", 1 ], [ "D_6(a_1)+A_1", 2 ], [ "D_6", 1 ], [ "E_6(a_1)", 1 ], [ "E_6(a_1)", 2 ], [ "E_6", 1 ], [ "D_6+A_1", 1 ], [ "D_6+A_1", 2 ], [ "E_7(a_2)", 1 ], [ "E_7(a_1)", 1 ], [ "E_7", 1 ] ], charInfo := [ [ "L=A_0", "A_0" ], [ "L=A_0", "6A_1" ], [ "L=A_0", "4A_1''" ], [ "L=A_0", "2A_1" ], [ "L=A_0", "4A_1'" ], [ "L=A_0", "A_2" ], [ "L=A_0", "3A_2" ], [ "L=A_0", "2A_2" ], [ "L=A_0", "D_4(a_1)" ], [ "L=A_0", "A_3 + A_1'" ], [ "L=A_0", "A_3 + 3A_1" ], [ "L=A_0", "D_4(a_1) + 2A_1" ], [ "L=A_0", "A_3 + A_1''" ], [ "L=A_0", "A_4" ], [ "L=A_0", "D_4 + 2A_1" ], [ "L=A_0", "D_4" ], [ "L=A_0", "E_6(a_2)" ], [ "L=A_0", "A_2 + 2A_1" ], [ "L=A_0", "D_6(a_2)" ], [ "L=A_0", "A_5 + A_1''" ], [ "L=A_0", "A_5 + A_1'" ], [ "L=A_0", "A_6" ], [ "L=A_0", "D_5 + A_1" ], [ "L=A_0", "D_6(a_1)" ], [ "L=A_0", "E_6(a_1)" ], [ "L=A_0", "D_6" ], [ "L=A_0", "A_3 + A_2 + A_1" ], [ "L=A_0", "D_5(a_1) + A_1" ], [ "L=A_0", "E_6" ], [ "L=A_0", "A_4 + A_2" ], [ "L=A_0", "7A_1" ], [ "L=A_0", "A_1" ], [ "L=A_0", "3A_1'" ], [ "L=A_0", "5A_1" ], [ "L=A_0", "3A_1''" ], [ "L=A_0", "D_4 + 3A_1" ], [ "L=A_0", "E_7(a_4)" ], [ "L=A_0", "D_6(a_2) + A_1" ], [ "L=A_0", "2A_3 + A_1" ], [ "L=A_0", "A_3 + 2A_1''" ], [ "L=A_0", "A_3" ], [ "L=A_0", "D_4(a_1) + A_1" ], [ "L=A_0", "A_3 + 2A_1'" ], [ "L=A_0", "D_6 + A_1" ], [ "L=A_0", "A_2 + A_1" ], [ "L=A_0", "A_2 + 3A_1" ], [ "L=A_0", "A_5 + A_2" ], [ "L=A_0", "D_4 + A_1" ], [ "L=A_0", "2A_2 + A_1" ], [ "L=A_0", "A_5'" ], [ "L=A_0", "A_5''" ], [ "L=A_0", "E_7(a_1)" ], [ "L=A_0", "D_5" ], [ "L=A_0", "A_7" ], [ "L=A_0", "E_7" ], [ "L=A_0", "A_4 + A_1" ], [ "L=A_0", "D_5(a_1)" ], [ "L=A_0", "A_3 + A_2" ], [ "L=A_0", "E_7(a_2)" ], [ "L=A_0", "E_7(a_3)" ] ], GFOrder := [ [ -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1 ], 63 ] ); tmpff(greenE7good); Unbind(tmpvari); Unbind(tmpvarj);Unbind(tmpf);Unbind(tmpff);