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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> n:=100;; Betti1:=[];; Betti2:=[];; gap> for p in [0..50]*(1/200) do > G:=RandomSimplicialGraph(n,p);; > K:=CliqueComplex(G,3);; > Add(Betti1,[p,BettiNumber(K,1)]); > Add(Betti2,[p,BettiNumber(K,2)]); > od; gap> ScatterPlot(Betti1); gap> ScatterPlot(Betti2); gap> STOP_TEST( "tst.tst", 1000 );