# Character: X5
# Comment: complex conjugate of X.4
# Ind: 0
# Ring: Z(i)
# Sparsity: 71%
# 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 := "U33 as 7 x 7 matrices\n";

result.generators := [
[[0,1,0,0,0,0,0],
[1,0,0,0,0,0,0],
[0,0,0,1,0,0,0],
[0,0,1,0,0,0,0],
[1-i,-1+i,-1,1,1,0,0],
[0,0,0,0,0,1,0],
[0,0,-i,i,0,0,1]]
,
[[0,0,1,0,0,0,0],
[1,0,0,0,0,0,0],
[0,0,0,0,1,0,0],
[0,0,0,0,0,1,0],
[0,0,0,0,0,0,1],
[0,i,i,-1,0,-1,i],
[-1,1,1,0,-1,0,1]]];

return result;