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gap> mat := [[1,0,0,0],[0,3,0,0],[0,0,0,6],[0,0,6,0]]*Z(7)^0;
[ [ Z(7)^0, 0*Z(7), 0*Z(7), 0*Z(7) ], [ 0*Z(7), Z(7), 0*Z(7), 0*Z(7) ],
[ 0*Z(7), 0*Z(7), 0*Z(7), Z(7)^3 ], [ 0*Z(7), 0*Z(7), Z(7)^3, 0*Z(7) ] ]
gap> form := QuadraticFormByMatrix(mat,GF(7));
< quadratic form >
gap> Display(form);
Quadratic form
Gram Matrix:
1 . . .
. 3 . .
. . . 5
. . . .
gap> gf := GF(2^2);
GF(2^2)
gap> mat := InvariantQuadraticForm( SO(-1, 4, 4) )!.matrix;
[ [ 0*Z(2), Z(2)^0, 0*Z(2), 0*Z(2) ], [ 0*Z(2), 0*Z(2), 0*Z(2), 0*Z(2) ],
[ 0*Z(2), 0*Z(2), Z(2^2)^2, Z(2)^0 ], [ 0*Z(2), 0*Z(2), 0*Z(2), Z(2^2)^2 ] ]
gap> form := QuadraticFormByMatrix( mat, gf );
< quadratic form >
gap> Display(form);
Quadratic form
Gram Matrix:
z = Z(4)
. 1 . .
. . . .
. . z^2 1
. . . z^2
[ Dauer der Verarbeitung: 0.23 Sekunden
(vorverarbeitet)
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