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gap> pg := PG(3,5^2);
ProjectiveSpace(3, 25)
gap> basis := Basis(AsVectorSpace(GF(5),GF(5^2)));
CanonicalBasis( GF(5^2) )
gap> line := Random(Lines(pg));
<a line in ProjectiveSpace(3, 25)>
gap> solid1 := BlownUpSubspaceOfProjectiveSpace(basis,line);
<a solid in ProjectiveSpace(7, 5)>
gap> BasisVectors(basis);
[ Z(5)^0, Z(5^2) ]
gap> basis := Basis(AsVectorSpace(GF(5),GF(5^2)),[Z(5),Z(5^2)^8]);
Basis( GF(5^2), [ Z(5), Z(5^2)^8 ] )
gap> solid2 := BlownUpSubspaceOfProjectiveSpace(basis,line);
<a solid in ProjectiveSpace(7, 5)>
gap> solid1 = solid2;
false
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