# Character: X16 # Comment: perm rep on 1020b pts # Ind: 1 # Ring: C # Sparsity: 88% # 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 := "S44 as 204 x 204 matrices\n"; result.generators := [ [[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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 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238/95*a+312/95*A,123/95*a+87/95*A,-702/95*a-478/95*A,-10/19*a-65/19*A, 24/19*a+42/19*A,-224/95*a-126/95*A,289/95*a+406/95*A,9/5*a+16/5*A, 217/95*a+33/95*A,-83/95*a+173/95*A,1/5*a+9/5*A,1,234/95*a+381/95*A, -11/19*a-5/19*A,-7/19*a+21/19*A,111/95*a-371/95*A,-668/95*a-447/95*A, -474/95*a-326/95*A,142/95*a+353/95*A,73/19*a+47/19*A,-369/95*a-261/95*A, 142/95*a+258/95*A,-288/95*a-447/95*A,8/5*a+2/5*A,-128/95*a-167/95*A, -22/95*a+237/95*A,196/95*a+419/95*A,-197/95*a+2/95*A,-232/95*a-83/95*A, 33/19*a+34/19*A,-54/19*a-9/19*A,-136/95*a-29/95*A,-339/95*a-256/95*A, 231/95*a+29/95*A,-389/95*a-201/95*A,219/95*a+236/95*A,26/5*a+24/5*A, -139/95*a-96/95*A,188/95*a+82/95*A,-236/95*a-14/95*A,404/95*a+156/95*A, 309/95*a+251/95*A,-59/95*a+44/95*A,377/95*a+313/95*A,-67/95*a-483/95*A, -166/95*a+251/95*A,-316/95*a-59/95*A,-13/95*a+58/95*A,282/95*a+313/95*A, -652/95*a-723/95*A,52/19*a+34/19*A,-1/19*a-35/19*A,-317/95*a-303/95*A, 109/19*a+129/19*A,539/95*a+891/95*A,-58/95*a-282/95*A,-14/95*a-91/95*A, 268/95*a+222/95*A,202/95*a+363/95*A,-397/95*a-63/95*A,35/19*a-10/19*A, 3/95*a+67/95*A,46/95*a+14/95*A,-158/95*a-267/95*A,-194/95*a-501/95*A, -48/19*a-27/19*A,174/95*a+86/95*A,404/95*a+441/95*A,-50/19*a-2/19*A, 112/95*a+253/95*A,-11/95*a-119/95*A,-159/95*a+59/95*A,143/95*a-68/95*A, -72/95*a-183/95*A,-129/95*a-221/95*A,-11/5*a+6/5*A,30/19*a+24/19*A, 384/95*a+406/95*A,604/95*a+316/95*A,-387/95*a-283/95*A,1,381/95*a+244/95*A, -229/95*a-16/95*A,188/95*a+177/95*A,229/95*a+16/95*A,-264/95*a-196/95*A, -283/95*a-82/95*A,-416/95*a-139/95*A]]]; return result;