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gap> #test_forms6: forms by polynomials.
gap> r := PolynomialRing( GF(11), 4);
GF(11)[x_1,x_2,x_3,x_4]
gap> vars := IndeterminatesOfPolynomialRing( r );
[ x_1, x_2, x_3, x_4 ]
gap> pol := vars[1]*vars[2]+vars[3]*vars[4];
x_1*x_2+x_3*x_4
gap> form := BilinearFormByPolynomial(pol, r, 4);
< bilinear form >
gap> BaseChangeToCanonical(form);
[ [ Z(11)^2, 0*Z(11), Z(11)^2, 0*Z(11) ],
[ 0*Z(11), Z(11)^8, Z(11)^7, 0*Z(11) ],
[ Z(11)^4, Z(11)^5, Z(11)^4, Z(11)^0 ],
[ 0*Z(11), 0*Z(11), Z(11)^0, 0*Z(11) ] ]
gap> TypeOfForm(form);
1
gap> quit;
[ Dauer der Verarbeitung: 0.19 Sekunden
(vorverarbeitet)
]
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