GAP calculation

gap> G :=SpaceGroupBBNWZ(“Fd-3m”);
SpaceGroupOnRightBBNWZ( 3, 7, 5, 2, 4 )
gap> GroupCohomology(G,2);
[ 2, 2 ]
gap> GroupCohomology(G,2,2);
[ 2, 2, 2, 2, 2 ]
gap> GroupCohomology(G,3);
[ 2, 2, 2 ]
gap> GroupCohomology(G,3,2);
[ 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
gap> GroupCohomology(G,4);
[ 2, 2, 2, 2, 2, 12 ]

gap> GroupCohomology(G,4,2);
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]

gap> GroupCohomology(G,5);
[ 2, 2, 2, 2, 2 ]
gap> GroupCohomology(G,5,2);
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]

gap> G :=SpaceGroupBBNWZ(“Fd-3c”);
SpaceGroupOnRightBBNWZ( 3, 7, 5, 2, 3 )
gap> GroupCohomology(G,2);
[ 2, 2 ]
gap> GroupCohomology(G,2,2);
[ 2, 2, 2, 2 ]
gap> GroupCohomology(G,3);
[ 2, 2 ]
gap> GroupCohomology(G,3,2);
[ 2, 2, 2, 2, 2 ]
gap> GroupCohomology(G,4);
[ 2, 2, 12 ]
gap> GroupCohomology(G,4,2);
[ 2, 2, 2, 2 ]

gap> G := SpaceGroupBBNWZ(“R-3m”);
SpaceGroupOnRightBBNWZ( 3, 5, 5, 1, 1 )
gap> GroupCohomology(G,2,2);
[ 2, 2, 2, 2, 2, 2 ]
gap> GroupCohomology(G,2);
[ 2, 2, 2 ]
gap> G := SpaceGroupBBNWZ(“P4132”);
SpaceGroupOnRightBBNWZ( 3, 7, 3, 1, 2 )
gap> GroupCohomology(G,2,2);
[ 2 ]
gap> GroupCohomology(G,2);
[ 2 ]
gap> G := SpaceGroupBBNWZ(“P4332”);
SpaceGroupOnRightBBNWZ( 3, 7, 3, 1, 2 )
gap> GroupCohomology(G,2,2);
[ 2 ]
gap> GroupCohomology(G,2);
[ 2 ]
gap> G := SpaceGroupBBNWZ(“Fm-3m”);
SpaceGroupOnRightBBNWZ( 3, 7, 5, 2, 1 )
gap> GroupCohomology(G,2,2);
[ 2, 2, 2, 2, 2, 2 ]
gap> GroupCohomology(G,2);
[ 2, 2 ]

gap> G := SpaceGroupBBNWZ(“F-43m”);
SpaceGroupOnRightBBNWZ( 3, 7, 4, 2, 1 )
gap> GroupCohomology(G,2,2);
[ 2, 2, 2, 2 ]
gap> GroupCohomology(G,2);
[ 2 ]

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