local w, result;

result := rec();

w := E(3);

result.comment := "3A7 as 15 x 15 matrices\n\
";

result.symmetricforms := [ ];

result.antisymmetricforms := [ ];

result.hermitianforms := [
[[2,0,0,0,0,1,-1,0,0,0,0,-1,0,0,0],
[0,2,0,0,0,0,0,0,-1,1,w^2,-1,0,0,0],
[0,0,2,1,0,0,0,0,0,0,1,0,-w,0,0],
[0,0,1,2,0,0,-1,0,0,0,1,0,0,0,-1],
[0,0,0,0,2,-w^2,0,0,0,0,0,0,0,0,0],
[1,0,0,0,-w,2,-1,0,0,0,0,0,0,0,0],
[-1,0,0,-1,0,-1,2,0,0,0,0,0,0,0,1],
[0,0,0,0,0,0,0,2,0,-w^2,0,0,0,0,0],
[0,-1,0,0,0,0,0,0,2,0,-w^2,0,0,0,0],
[0,1,0,0,0,0,0,-w,0,2,0,-1,0,0,0],
[0,w,1,1,0,0,0,0,-w,0,2,0,0,0,0],
[-1,-1,0,0,0,0,0,0,0,-1,0,2,0,0,0],
[0,0,-w^2,0,0,0,0,0,0,0,0,0,2,-w^2,0],
[0,0,0,0,0,0,0,0,0,0,0,0,-w,2,0],
[0,0,0,-1,0,0,1,0,0,0,0,0,0,0,2]]];

result.centralizeralgebra := [ ];

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

return result;