# Character: X6
# Comment: Galois conjugate of X.2
# Ind: 0
# Ring: C
# Sparsity: 82%
# 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 := "U34 as 13 x 13 matrices\n";

result.generators := [
[[0,1,0,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,-E(5)^2,-E(5)^2,-1,-E(5)^2,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0],
[E(5)^4,E(5)^4,-E(5)^3-E(5)^4,-E(5)^3-E(5)^4,0,-E(5)^3-E(5)^4,E(5)+E(5)^2+E(5)^3,
  -1,E(5)+E(5)^2+E(5)^3,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0],
[-1,-1,-E(5)^3,0,0,0,0,0,0,-1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,0,0,0,1,0,0],
[E(5)+E(5)^2,E(5)+E(5)^2,E(5)^3,E(5)^2+2*E(5)^3+E(5)^4,0,E(5)^2+2*E(5)^3+E(5)^4,
  -E(5)-E(5)^2,0,-E(5)-E(5)^2,0,-E(5),-E(5),-1]]
,
[[0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0],
[0,1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0],
[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],
[0,0,0,0,0,0,0,0,0,0,0,0,1],
[E(5)^3+E(5)^4,E(5)^2+2*E(5)^3+2*E(5)^4,-E(5)^2-E(5)^3-E(5)^4,-a-2*A,
  E(5)^2,-A,E(5)+E(5)^2-E(5)^4,E(5)+E(5)^2+E(5)^3,-E(5)-E(5)^2-E(5)^3-2*E(5)^4,
  -E(5),E(5)^2+E(5)^4,1,E(5)+E(5)^3+E(5)^4],
[0,0,0,0,0,0,0,0,1,0,0,0,0]]];

return result;