# Character: X10 # Comment: perm rep on 280 pts # Ind: 1 # Ring: Z # Sparsity: 74% # Maximum absolute entry: 12 # Checker result: pass # Conjugacy class representative result: pass local b, B, w, W, i, result, delta, idmat; result := rec(); w := E(3); W := E(3)^2; b := E(7)+E(7)^2+E(7)^4; B := -1-b; # b7, b7** i := E(4); result.comment := "J2 as 90 x 90 matrices\n"; result.generators := [ [[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, 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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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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[-1,0,6,0,1,4,-2,2,-1,0,2,5,-3,2,-2,4,-3,-2,2,2,3,1,1,0,-5,-2,3,1, 2,1,0,2,0,-1,1,-1,1,-3,1,2,-3,1,-1,-2,3,-3,-2,-1,-3,-1,1,3,1,0,1, 1,-3,1,0,3,2,-1,3,1,0,-4,-3,0,5,3,-2,1,1,1,2,1,-3,0,-1,-1,1,-1,1, 0,-1,1,2,-2,2,1], [5,0,-7,4,-2,-5,5,-10,4,-1,-3,8,1,1,2,2,-5,7,1,-1,-3,2,1,2,-3,-5,-6, -2,-1,5,-1,0,-3,7,0,-1,0,0,-5,-2,0,1,-3,2,-4,-1,1,-1,3,-4,2,1,4, -5,2,2,-1,-3,3,-7,-5,-1,-7,0,6,6,1,3,-4,-3,1,0,4,-1,-1,3,4,1,2,-2, -5,1,2,3,-2,4,-2,0,0,1], [0,-1,3,1,1,0,-1,-2,2,0,2,4,-2,1,-1,4,-4,2,2,2,0,1,0,1,-3,-4,2,-1, 4,4,-1,2,0,1,0,-1,0,-1,-1,0,-2,2,-3,0,0,-1,0,0,0,-1,2,3,3,-2,1,0, -2,0,-1,1,-1,1,0,2,2,0,-2,0,3,0,-2,1,2,1,1,2,-1,0,0,-1,0,-1,0,0, 0,2,1,-1,1,1], [5,1,-7,5,-3,-4,5,-11,5,-1,-4,10,1,2,3,3,-6,8,3,-1,-3,2,2,1,-5,-5, -6,-1,-1,4,-2,1,-5,9,1,-2,1,-1,-5,-1,-1,2,-4,3,-5,-1,1,0,3,-5,1, 2,4,-5,3,2,-2,-4,5,-8,-6,0,-7,-1,7,6,2,4,-4,-2,1,1,5,-1,-1,3,4,2, 2,-2,-6,1,3,3,-2,6,-2,0,0,1], [-1,0,3,0,0,0,0,2,3,1,2,-5,1,0,1,-3,1,0,1,2,0,1,0,-1,2,-1,2,0,4,2, 0,0,3,-1,1,1,-2,1,-1,-1,2,3,0,-1,-1,3,-1,0,1,1,-1,2,1,-1,0,-1,2, 3,0,1,1,4,0,0,0,0,0,-1,0,0,-1,1,-1,1,-1,0,1,0,0,0,2,1,-2,-2,3,-1, 0,0,-1,-1], [0,0,2,0,1,1,-2,4,0,0,3,-5,2,-1,-1,-5,3,1,-1,0,1,1,-3,1,1,0,1,3,2, 0,1,0,3,-2,1,0,-2,2,-1,0,3,2,2,0,-1,1,-1,1,1,2,0,2,-1,-1,-1,0,0, 2,-1,0,0,3,2,0,0,1,0,-2,-1,0,-1,1,-3,0,-1,0,1,-1,-1,1,2,0,-1,-2, 2,-2,-1,-1,-1,-1], [0,2,4,2,-1,0,-2,0,4,1,0,1,0,1,0,2,-3,1,1,3,3,1,1,0,0,-4,1,1,3,3,-3, 1,1,0,2,-2,0,-3,-2,1,-1,3,-2,0,0,0,-1,0,1,-2,-1,2,2,-1,2,0,1,1,3, 0,1,1,-2,0,2,1,0,0,1,2,0,2,1,2,-1,0,0,-1,0,-1,0,1,0,-1,1,2,0,0,0, 1], [2,0,-4,0,-1,-2,-1,0,1,0,0,-2,2,1,-1,-3,1,1,-1,0,0,0,-1,2,1,0,-3,1, 0,0,1,-2,1,1,3,-1,-1,1,-1,0,0,0,1,0,-2,0,-2,0,1,0,-1,1,0,-2,0,0, -1,2,2,-2,-1,1,-1,-1,1,2,2,0,-3,0,1,1,-2,0,-2,1,2,-1,-1,0,0,0,0, 1,0,-1,-2,1,0,-1], [-3,-2,3,3,-1,2,0,-5,0,-3,3,8,-1,-7,3,1,1,9,2,0,-2,5,2,-4,-4,0,3,2, -2,5,0,2,-5,5,-4,-5,0,0,-1,2,6,2,-2,0,-1,-1,5,-2,2,-1,5,-3,2,-1, 1,3,-1,-5,-1,-4,-6,-2,-2,-4,2,4,-3,2,0,-2,-3,1,4,-3,2,1,-1,-1,2, -1,-4,1,2,0,-4,8,-1,-3,2,0], [1,0,-1,-1,1,1,-1,3,-1,0,2,-1,1,1,-4,-2,1,-2,-1,0,2,-1,-2,3,-1,1,-1, 2,1,-2,2,-1,2,-1,1,2,0,0,1,2,-1,0,2,-1,1,-2,-3,0,-1,1,1,2,-2,0,-1, 1,-3,3,-1,2,1,0,4,1,-1,-1,-1,-1,0,1,0,0,-3,0,0,1,0,-1,-2,0,2,-1, 0,0,0,-2,0,-1,1,-1], [1,2,2,0,-1,-1,-1,0,3,1,-1,0,-1,2,-1,2,-3,0,-1,3,3,0,0,2,1,-3,0,0, 2,1,-4,1,1,-2,2,0,1,-4,-1,1,-3,1,-1,1,-1,1,-1,0,1,-2,-2,1,1,0,1, -1,1,2,3,0,2,0,-1,1,1,0,0,0,0,2,1,1,0,3,-1,0,0,-1,0,-1,0,0,0,-1, 2,0,0,1,0,1]]]; return result;