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#Tits ovoid in PG(3,8)
q := 8;
pg := PG(3,q);
f := GF(q);
vecs := Union(List(f,x->List(f,y->[One(f),x*y+x^6+y^4,x,y])));;
Add(vecs,[0,1,0,0]*Z(q)^0);
ovoid := List(vecs,x->VectorSpaceToElement(pg,x));;
numbers := List(Planes(pg),x->Number(ovoid,y->y in x));
Collected(numbers);
group := HomographyGroup(pg);
stab := FiningSetwiseStabiliser(group,ovoid);
time;
IsSimple(stab);
Order(stab);
quit;
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