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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346gap> START_TEST("HAP library"); gap> A:=[[0,-1,0,0,],[1,0,0,0,],[0,0,0,1],[0,0,-1,0]];; gap> B:=[[0,0,-1,0],[0,0,0,-1],[1,0,0,0],[0,1,0,0]];; gap> Q:=Group([A,B]);; gap> Y:=EquivariantOrbitPolytope(Q,[1,0,0,0]); Equivariant CW-complex of dimension 4 gap> for k in [0..2] do > for n in [1..Y!.dimension(k)] do > Print(Order(Y!.stabilizer(k,n))," "); > od;od; 1 1 1 1 1 1 1 1 gap> F:=FundamentalGroupOfQuotient(Y); <fp group on the generators [ f1, f2, f3 ]> gap> RelatorsOfFpGroup(F); [ f1*f2^-1*f3^-1, f1*f3^-1*f2, f1*f3*f2^-1, f1*f2*f3 ] gap> STOP_TEST( "tst.tst", 1000 );