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products/Sources/formale Sprachen/GAP/pkg/forms/tst/examples/ (Algebra von RWTH Aachen Version 4.15.1^©) Datei vom 5.4.2025 mit Größe 1 kB

Quelle preservedforms2.tst Sprache: unbekannt

gap> START_TEST("Forms: preservedforms2.tst");
gap> gens := [ [ [ Z(5)^0, 0*Z(5), 0*Z(5), 0*Z(5) ],
>  [ 0*Z(5), 0*Z(5), Z(5)^3, Z(5^2)^21 ],
>  [ 0*Z(5), Z(5), Z(5), Z(5^2)^3 ],
>       [ 0*Z(5), Z(5^2)^21, Z(5^2)^15, Z(5)^2 ] ],
>   [ [ Z(5)^3, Z(5^2)^7, Z(5^2)^16, Z(5^2)^15 ],
>        [ 0*Z(5), Z(5)^0, Z(5^2)^4, Z(5)^3 ],
>        [ Z(5^2)^22, Z(5^2)^10, Z(5^2)^21, Z(5)^2 ],
>        [ Z(5^2)^7, Z(5^2)^23, Z(5^2)^9, Z(5^2)^11 ] ],
>   [ [ 0*Z(5), Z(5^2), 0*Z(5), 0*Z(5) ],
>  [ Z(5^2)^5, 0*Z(5), 0*Z(5), 0*Z(5) ],
>        [ 0*Z(5), 0*Z(5), Z(5)^0, Z(5^2)^4 ],
>        [ 0*Z(5), 0*Z(5), Z(5^2)^20, Z(5)^2 ] ] ];
[ [ [ Z(5)^0, 0*Z(5), 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^3, Z(5^2)^21 ],
      [ 0*Z(5), Z(5), Z(5), Z(5^2)^3 ],
      [ 0*Z(5), Z(5^2)^21, Z(5^2)^15, Z(5)^2 ] ],
  [ [ Z(5)^3, Z(5^2)^7, Z(5^2)^16, Z(5^2)^15 ],
      [ 0*Z(5), Z(5)^0, Z(5^2)^4, Z(5)^3 ],
      [ Z(5^2)^22, Z(5^2)^10, Z(5^2)^21, Z(5)^2 ],
      [ Z(5^2)^7, Z(5^2)^23, Z(5^2)^9, Z(5^2)^11 ] ],
  [ [ 0*Z(5), Z(5^2), 0*Z(5), 0*Z(5) ], [ Z(5^2)^5, 0*Z(5), 0*Z(5), 0*Z(5) ],
      [ 0*Z(5), 0*Z(5), Z(5)^0, Z(5^2)^4 ],
      [ 0*Z(5), 0*Z(5), Z(5^2)^20, Z(5)^2 ] ] ]
gap> group := Group(gens);
<matrix group with 3 generators>
gap> PreservedForms(group);
[ < quadratic form >, < hermitian form > ]
gap> PreservedForms(group);
[ < quadratic form >, < hermitian form > ]
gap> PreservedForms(group);
[ < quadratic form >, < hermitian form > ]
gap> PreservedForms(group);
[ < quadratic form >, < hermitian form > ]
gap> STOP_TEST("preservedforms2.tst", 10000 );