# Character: X2 # Comment: Young rep 71 # Ind: 1 # Ring: Z # Sparsity: 79% # Maximum absolute entry: 1 # 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 := "A8 as 7 x 7 matrices\n"; result.generators := [ [[1,0,0,0,0,0,-1], [0,1,0,0,0,0,-1], [0,0,1,0,0,0,-1], [0,0,0,1,0,0,-1], [0,0,0,0,1,0,-1], [0,0,0,0,0,0,-1], [0,0,0,0,0,1,-1]] , [[0,0,0,0,0,0,1], [1,0,0,0,0,0,0], [0,1,0,0,0,0,0], [0,0,1,0,0,0,0], [0,0,0,1,0,0,0], [0,0,0,0,1,0,0], [0,0,0,0,0,1,0]]]; return result;