# Character: X12 # Comment: perm rep on 1080c pts # Ind: 1 # Ring: Z # Sparsity: 68% # Maximum absolute entry: 105 # 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 := "O8p2 as 210 x 210 matrices\n"; result.generators := [ [[-3,-5,7,-6,-8,-1,-5,0,2,-5,3,5,2,0,2,-3,1,-4,-4,-4,3,0,3,2,5,-2, -1,1,-6,0,0,1,3,-2,0,6,-2,4,1,1,-5,-11,-2,0,6,1,1,-2,2,-5,-2,-4, 3,-3,5,4,8,1,4,-10,-7,-3,-7,2,-6,-3,-1,0,-3,-3,-3,-5,-4,1,4,8,-5, 5,-6,-5,-3,7,-2,-4,3,-4,4,1,5,-8,2,-6,3,-3,2,2,-2,2,2,-1,-5,6,-3, -8,-8,-7,-2,10,-3,10,-1,-5,2,8,14,-11,1,-4,0,-3,-3,2,-1,0,0,10,8, 3,0,-9,-3,10,3,-9,-2,9,0,5,9,-3,-12,-8,4,2,5,2,3,-2,3,-1,6,-6,-8, -2,0,-9,-2,-6,-9,3,4,-1,3,8,-3,1,12,0,5,-4,2,5,3,1,2,4,4,-1,4,-6, 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