local w, result;

result := rec();

w := E(3);

result.comment := "3A7 as 15 x 15 matrices over Z(z3)\n\
";

result.symmetricforms := [ ];

result.antisymmetricforms := [ ];

result.hermitianforms := [
[[4,0,-2,2,-2,1,2,0,1,1,2*w^2,-2,w^2,w+2*w^2,-1],
 [0,3,0,-1,0,-2,2,0,1,1,-1,0,-2,0,-1],
 [-2,0,4,-1,0,-2,-1,2,-2,1,-w^2,0,-2*w^2,0,-w^2],
 [2,-1,-1,3,-1,2,0,0,0,0,-1,-1,0,-2,0],
 [-2,0,0,-1,3,0,-1,-1,0,-2,-w^2,-w^2,0,-2*w^2,0],
 [1,-2,-2,2,0,4,-1,-1,0,-2,0,0,0,0,0],
 [2,2,-1,0,-1,-1,4,0,2,2,2*w^2,-1,w+2*w^2,w^2,-2],
 [0,0,2,0,-1,-1,0,3,-1,2,0,w^2,-w^2,w^2,-w^2],
 [1,1,-2,0,0,0,2,-1,3,0,w^2,0,2*w^2,0,w^2],
 [1,1,1,0,-2,-2,2,2,0,4,w^2,w^2,0,2*w^2,0],
 [2*w,-1,-w,-1,-w,0,2*w,0,w,w,3,-w,2,2,-w],
 [-2,0,0,-1,-w,0,-1,w,0,w,-w^2,3,0,2,1],
 [w,-2,-2*w,0,0,0,2*w+w^2,-w,2*w,0,2,0,4,0,2],
 [2*w+w^2,0,0,-2,-2*w,0,w,w,0,2*w,2,2,0,4,0],
 [-1,-1,-w,0,0,0,-2,-w,w,0,-w^2,1,2,0,3]]];

result.centralizeralgebra := [ ];

result.generators := [
[[w,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,w,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,w,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],
[0,1-w^2,0,-w^2,0,0,w^2,0,0,0,1,0,0,0,0],
[2*w+w^2,0,-1+w,0,-1,0,0,1,0,0,0,w,0,0,0],
[0,-w-2*w^2,0,0,0,-w^2,0,0,w^2,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,1-w^2,0,-1+w^2,w^2,-w^2],
[0,-1,0,-1,0,0,0,0,0,0,-1,0,0,0,0],
[-2*w,0,-w,0,-w,0,0,0,0,0,0,-w,0,0,0],
[0,-2,0,0,0,-1,0,0,0,0,0,0,-1,0,0],
[0,0,0,0,0,0,0,0,0,0,-2,0,1,1,0],
[0,-1+w^2,0,-w,0,-1,-2*w^2,0,w^2,w^2,w,0,w^2,-w,-w^2]]
,
[[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],
[-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0],
[1,0,-w^2,0,0,0,0,w^2,0,0,0,1,0,0,0],
[0,1,-1,0,0,0,0,0,w^2,0,0,0,1,0,0],
[0,0,0,1,-1,w^2,0,0,0,w^2,0,0,0,1,0],
[0,0,0,0,0,0,1,-1,w^2,0,0,0,0,0,1],
[1,-w^2,0,0,0,0,w^2,0,0,0,1,0,0,0,0]]];

return result;