# Character: X2
# Comment: John Bray found this one.
# Ind: 0
# Ring: Q(i)
# Sparsity: 57%
# 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 := "Sz32 as 124 x 124 matrices\n";

result.generators := [
[[-1/16,-1/16*i,-1/8-1/16*i,-1/16+1/8*i,-1/16,1/16,1/16,-1/16,-3/16,
  1/16,1/8+1/16*i,1/8+1/16*i,-1/16,1/8+1/16*i,-1/8-1/16*i,1/16,1/16,
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  1/8-1/16*i,-1/8-1/16*i,1/16,1/16*i,-1/16+1/8*i,-1/16*i,1/8,0,0,0,
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  1/16-1/16*i,1/16+1/16*i,0,3/16,1/16*i,-1/16*i,-1/16,0,-1/16-1/16*i,
  -1/16+1/16*i,-1/8,0,-1/8*i,1/16-1/16*i,1/16+1/16*i,-1/8,1/16+1/16*i,
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  -1/16+1/16*i,1/8,-1/8,0,0,0],
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return result;