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Impressum projsp_randomeltsps.include   Sprache: unbekannt

 
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gap> ps := PG(9,49);
ProjectiveSpace(9, 49)
gap> Random(Lines(ps));
<a line in ProjectiveSpace(9, 49)>
gap> Random(Points(ps));
<a point in ProjectiveSpace(9, 49)>
gap> Random(Solids(ps));
<a solid in ProjectiveSpace(9, 49)>
gap> Random(Hyperplanes(ps));
<a proj. 8-space in ProjectiveSpace(9, 49)>
gap> elts := ElementsOfIncidenceStructure(ps,6);
<proj. 5-subspaces of ProjectiveSpace(9, 49)>
gap> Random(elts);
<a proj. 5-space in ProjectiveSpace(9, 49)>
gap> Display(last);
[[Z(7)^0,0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7^2)^14,Z(7^2)^44,Z(7^2)^14,
Z(7)^5,]
 [0*Z(7),Z(7)^0,0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7^2)^29,Z(7^2)^13,Z(7^2)^19,
Z(7^2)^27,]
 [0*Z(7),0*Z(7),Z(7)^0,0*Z(7),0*Z(7),0*Z(7),Z(7^2)^20,Z(7^2)^10,Z(7^2)^18,
Z(7^2)^27,]
 [0*Z(7),0*Z(7),0*Z(7),Z(7)^0,0*Z(7),0*Z(7),Z(7),Z(7^2)^30,Z(7^2)^18,Z(7^2)^
14,]
 [0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7)^0,0*Z(7),Z(7^2)^10,Z(7^2)^28,Z(7^2)^47,
Z(7^2)^29,]
 [0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7)^0,Z(7^2)^9,Z(7^2)^42,Z(7^2)^34,
Z(7^2)^25,]
]
gap> RandomSubspace(ps,3);
<a solid in ProjectiveSpace(9, 49)>
gap> Display(last);
[[Z(7)^0,0*Z(7),0*Z(7),0*Z(7),Z(7^2)^17,Z(7^2)^33,Z(7^2)^4,0*Z(7),Z(7^2),
Z(7^2)^33,]
 [0*Z(7),Z(7)^0,0*Z(7),0*Z(7),Z(7^2)^30,Z(7)^2,Z(7)^3,Z(7)^0,Z(7^2)^20,Z(7^2)^
42,]
 [0*Z(7),0*Z(7),Z(7)^0,0*Z(7),Z(7^2)^20,Z(7^2)^30,Z(7^2)^11,Z(7^2)^39,Z(7)^3,
Z(7),]
 [0*Z(7),0*Z(7),0*Z(7),Z(7)^0,Z(7^2)^21,Z(7)^0,Z(7^2)^11,Z(7^2)^45,Z(7^2),
Z(7^2)^9,]
]
gap> RandomSubspace(ps,7);
<a proj. 7-space in ProjectiveSpace(9, 49)>
gap> Display(last);
[[Z(7)^0,0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7^2)^42,Z(7^2)^
35,]
 [0*Z(7),Z(7)^0,0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7^2)^43,Z(7^2),]
 [0*Z(7),0*Z(7),Z(7)^0,0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7^2)^44,Z(7)^4,]
 [0*Z(7),0*Z(7),0*Z(7),Z(7)^0,0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7^2)^41,Z(7^2)^
10,]
 [0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7)^0,0*Z(7),0*Z(7),0*Z(7),Z(7^2)^37,Z(7^2)^
12,]
 [0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7)^0,0*Z(7),0*Z(7),Z(7^2)^11,Z(7^2)^
39,]
 [0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7)^0,0*Z(7),Z(7^2)^22,Z(7^2)^
10,]
 [0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),0*Z(7),Z(7)^0,Z(7^2)^43,Z(7^2)^
22,]
]
gap> RandomSubspace(ps);
<a plane in ProjectiveSpace(9, 49)>
gap> RandomSubspace(ps);
<a proj. 6-space in ProjectiveSpace(9, 49)>

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