# Character: X17 # Comment: induce from Borel subgroup # Ind: 1 # Ring: C # Sparsity: 94% # 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 := "L216 as 17 x 17 matrices\n"; result.generators := [ [[0,W,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [w,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,E(15)^13,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,E(15)^14,0,0,0], [0,0,0,0,0,0,0,0,0,0,E(15)^4,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(15)^7,0,0], [0,0,0,0,0,0,0,0,0,0,0,E(5)^2,0,0,0,0,0], [0,0,0,0,E(15)^2,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,E(15)^11,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,E(5)^3,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(5)^4,0], [0,0,0,0,0,E(15),0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,E(15)^8,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,E(5),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,E(15),0,0,0,0,0,0,0,0,0], [E(5),0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,E(15)^4,0,0,0,0,0,0,0,0,0,0,0], [0,0,E(5)^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(15)^7,0], [0,0,0,E(15)^14,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,E(5)^3,0,0,0,0], [0,E(15)^11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,w,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,W,0,0,0,0,0,0,0], [0,0,0,0,0,0,E(15)^13,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,w], [0,0,0,0,0,0,0,0,0,0,E(15)^8,0,0,0,0,0,0], [0,0,0,0,E(15)^2,0,0,0,0,0,0,0,0,0,0,0,0], [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,E(5)^2,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,W,0,0]]]; return result;