# Character: X5 # Comment: perm rep on 3648 pts # Ind: 1 # Ring: Z # Sparsity: 68% # Maximum absolute entry: 225 # 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 := "U38 as 133 x 133 matrices\n"; result.generators := [ [[-1,5,2,-2,-12,-2,5,-6,-13,-8,2,-4,-5,0,-5,12,8,-4,1,1,-2,7,4,1,14, -3,6,6,0,5,5,-1,-2,-12,-3,9,-1,-7,2,11,-2,-8,4,-6,4,-5,-3,-11,5, -9,-4,-3,2,-5,10,9,4,4,0,1,1,-9,-3,-5,7,6,-9,-6,-4,0,5,-3,0,3,-3, 8,-3,-7,-1,0,3,0,-2,-1,-5,0,-3,-3,3,9,0,-12,3,5,-1,2,3,8,7,3,6,0, 3,-1,-1,5,-2,5,0,-1,3,-4,-2,-8,-11,7,1,-4,-1,-1,-3,-1,-1,-5,1,-5, 3,-4,0,-3,-2,3,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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