# Character: X7 # Comment: perm rep on 364 pts - LLL'ed # Ind: 1 # Ring: Z # Sparsity: 85% # Maximum absolute entry: 27 # 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 := "O73 as 195 x 195 matrices\n"; result.generators := [ [[0,-1,1,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,1,0,0,0,0,-1,0,0,0,0,-1,1, 0,1,-1,1,1,1,0,0,0,-1,0,-1,1,0,1,0,0,0,1,0,0,-1,-1,0,1,1,0,0,0,0, 1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0, 0,0,0,1,0,0,1,0,0,0,1,0,0,0,-1,0,0,-1,1,1,0,1,0,0,0,0,0,-1,0,1,0, 0,0,0,0,1,0,1,1,-1,0,-1,0,0,0,0,-1,-1,0,1,-1,0,-1,-1,0,1,0,1,-1, 0,0,0,0,0,0,0,0,-1,0,0,0,1,-1,1,-1,-1,-1,0,0,0,-1,1,0,0,1,1,1,1, -1,-1,-1,0,0,-1,0,0,0,1,0,0,1,0,0,0], 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