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#This example uses Polymake.
A:=[[0,-1,0,0,],[1,0,0,0,],[0,0,0,1],[0,0,-1,0]];;
B:=[[0,0,-1,0],[0,0,0,-1],[1,0,0,0],[0,1,0,0]];;
Q:=Group([A,B]);;
Y:=EquivariantOrbitPolytope(Q,[1,0,0,0]);
Print(Y,"\n");
for k in [0..2] do
for n in [1..Y!.dimension(k)] do
Print(Order(Y!.stabilizer(k,n))," ");
od;od;
F:=FundamentalGroupOfQuotient(Y);
Print(F,"\n");
Print(RelatorsOfFpGroup(F),"\n");
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