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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> Display(form);
Bilinear form
Gram Matrix:
. 6 . .
6 . . .
. . . 6
. . 6 .
Polynomial: x_1*x_2+x_3*x_4
gap> r := PolynomialRing(GF(4),2);
GF(2^2)[x_1,x_2]
gap> pol := r.1*r.2;
x_1*x_2
gap> form := BilinearFormByPolynomial(pol,r);
Error, No orthogonal form can be associated with a quadratic polynomial in even cha\
ra
cteristic at ./pkg/forms/lib/forms.gi:371 called from
BilinearFormByPolynomial( pol, pring, n ) at ./pkg/forms/lib/forms.gi:391 called fr\
om
<function "BilinearFormByPolynomial no dimension">( <arguments> )
called from read-eval loop at *stdin*:9
you can 'quit;' to quit to outer loop, or
you can 'return;' to continue
brk> quit;
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(vorverarbeitet)
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