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gap> START_TEST("Forms: hermitianformbymatrix.tst");
gap> gf := GF(3^2);
GF(3^2)
gap> mat := IdentityMat(4, gf);
[ [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, 0*Z(3), 0*Z(3) ],
[ 0*Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3)^0 ] ]
gap> form := HermitianFormByMatrix( mat, gf );
< hermitian form >
gap> Display(form);
Hermitian form
Gram Matrix:
1 . . .
. 1 . .
. . 1 .
. . . 1
gap> mat := [[Z(11)^0,0*Z(11),0*Z(11)],[0*Z(11),0*Z(11),Z(11)],
> [0*Z(11),Z(11),0*Z(11)]];
[ [ Z(11)^0, 0*Z(11), 0*Z(11) ], [ 0*Z(11), 0*Z(11), Z(11) ],
[ 0*Z(11), Z(11), 0*Z(11) ] ]
gap> form := HermitianFormByMatrix(mat,GF(121));
< hermitian form >
gap> Display(form);
Hermitian form
Gram Matrix:
1 . .
. . 2
. 2 .
gap> STOP_TEST("hermitianformbymatrix.tst", 10000 );
[ Dauer der Verarbeitung: 0.22 Sekunden
(vorverarbeitet)
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