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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: 418384gap> START_TEST("HAP library"); gap> A:=List([1..10],i->1);; gap> A:=List([1..10],i->StructuralCopy(A));; gap> A:=List([1..10],i->StructuralCopy(A));; gap> A[5][5][5]:=0;; gap> M:=PurePermutahedralComplex(A);; gap> Size(M); 999 gap> Y:=RegularCWComplex(M);; gap> Size(Flat(Y!.boundaries)); 125360 gap> STOP_TEST( "tst.tst", 1000 );