# Character: X11+X12 # Comment: perm rep on 1050(a) pts # Ind: 0 # Irred-dim: 126 # Ring: Z # Sparsity: 64% # Maximum absolute entry: 499 # Checker result: pass # Conjugacy class representative result: pass local a, A, b, B, c, C, w, W, i, result, delta, idmat; result := rec(); w := E(3); W := E(3)^2; a := E(5)+E(5)^4; A := -1-a; # b5, b5* b := E(7)+E(7)^2+E(7)^4; B := -1-b; # b7, b7** c := E(11)+E(11)^3+E(11)^4+E(11)^5+E(11)^9; C := -1-c; # b11, b11** i := E(4); result.comment := "U35 as 252 x 252 matrices\n"; result.generators := [ [[2,7,-1,-13,-13,-6,2,5,14,17,-10,13,14,1,19,16,-2,15,-1,-13,-12,-2, -7,-7,-1,-13,-11,6,-6,8,-6,-1,-3,-8,3,-18,8,-5,-15,8,-17,-8,11,5, -7,-8,-15,1,-18,-4,-6,-12,14,3,5,-15,15,6,0,3,-25,2,3,-11,-7,-15, -1,8,-4,-2,20,8,8,9,-4,8,10,-11,-15,1,13,-14,-11,6,-1,0,0,8,10,11, -16,-2,9,0,11,4,-2,-9,4,-10,-2,9,-15,7,-5,6,4,-2,-11,-9,-1,1,-14, 1,4,0,8,-2,22,8,6,-8,12,13,2,20,-5,12,2,2,11,-24,-12,13,9,8,-9,-7, 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