# Character: X3
# Comment: perm rep on 80 pts
# Ind: 0
# Ring: Z(w)
# Sparsity: 70%
# 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 := "U42 as 5 x 5 matrices\n";

result.generators := [
[[-1,0,0,0,0],
[0,-1,0,0,0],
[0,0,-1,0,0],
[0,0,0,0,1],
[0,0,0,1,0]]
,
[[0,1,0,0,0],
[0,0,1,0,0],
[0,0,0,1,0],
[w,1,-w,W,-W],
[0,-w,0,0,-W]]];

return result;