|
gap> h := HermitianVariety(2, 5^2);
H(2, 5^2)
gap> quadric := EllipticQuadric(5, 5);
Q-(5, 5)
gap> em := NaturalEmbeddingByFieldReduction(h, quadric);
#I Testing degeneracy of the *associated bilinear form*
<geometry morphism from <Elements of H(2, 5^2)> to <Elements of Q-(5, 5)>>
gap> points := AsList(Points(h));;
gap> image := ImagesSet(em, points);;
gap> image[1];
<a line in Q-(5, 5)>
gap> hom := Intertwiner( em );;
gap> g := Range( hom );
<projective group with Frobenius of size 378000 with 2 generators>
gap> OrbitLengths(g, image);
[ 126 ]
[ Dauer der Verarbeitung: 0.16 Sekunden
(vorverarbeitet)
]
|
