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gap> quadric := HyperbolicQuadric(5,3);
Q+(5, 3)
gap> k := KleinCorrespondence( quadric );
<geometry morphism from <lines of ProjectiveSpace(3, 3)> to <points of Q+(5,
3)>>
gap> pg := ProjectiveSpace(3, 3);
ProjectiveSpace(3, 3)
gap> l := Random( Lines(pg) );
<a line in ProjectiveSpace(3, 3)>
gap> l^k;
<a point in Q+(5, 3)>
gap> id := IdentityMat(6,GF(13));
< mutable compressed matrix 6x6 over GF(13) >
gap> form := QuadraticFormByMatrix(id,GF(13));
< quadratic form >
gap> quadric := PolarSpace(form);
<polar space in ProjectiveSpace(
5,GF(13)): x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2=0 >
gap> k := KleinCorrespondence( quadric );
<geometry morphism from <lines of ProjectiveSpace(3, 13)> to <points of Q+(5,
13): x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2=0>>
gap> pg := AmbientGeometry(Source(k));
ProjectiveSpace(3, 13)
gap> l := Random(Lines(pg));
<a line in ProjectiveSpace(3, 13)>
gap> l^k;
<a point in Q+(5, 13): x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2=0>
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