local r,s,t,u, result;

result := rec();

s := E(3);
t := s * Sqrt(2);
u := s^2;
r := -s*t;

result.comment := "6A7 as 6 x 6 matrices over Q(Sqrt(2), z3)\n
";

result.symmetricforms := [ ];

result.antisymmetricforms := [ ];

result.hermitianforms := [ ];

result.centralizeralgebra:=[ IdentityMat(6) ];

result.generators := [
[[0,42,0,0,0,0],
[0,0,0,42,0,0],
[0,0,0,0,0,42],
[42,0,0,0,0,0],
[38*r-24*s-22*t-30*u,28*r-84*s+28*t,10*r-24*s+34*t-30*u,
 68*r+30*s-46*t+6*u,48*r-6*s-72*t+24*u,46*r+38*s-20*t+16*u],
[27*r+78*s+12*t-18*u,84*s-21*t-42*u,-15*r+78*s+12*t+24*u,
 -18*r-24*s+90*t-72*u,12*r-96*s+3*t-120*u,-48*r+6*s+72*t-24*u]] / 42
,
[[0,0,42,0,0,0],
[0,0,0,0,42,0],
[42*u,-42,0,0,42*s,0],
[36*r-36*s-33*t-24*u,21*r+42*s-63*t-42*u,36*r+48*s-33*t-24*u,
 18*r-102*s-6*t-96*u,-33*r-72*s-3*t-6*u,6*r-48*s+12*t-60*u],
[-44*r-26*s+10*t+62*u,-70*s+42*t+28*u,12*r-82*s-18*t-8*u,
 -22*r+8*s-58*t+52*u,-18*r+102*s+6*t+96*u,16*r+12*s-80*t+36*u],
[-21*t,21*r+42*s-21*t+42*u,21*t,0,-21*r-42*s+21*t-42*u,42]] / 42];


return result;