M:=PurePermutahedralKnot(3,1);;
XM:=RegularCWComplex(M);
M1:=PureCubicalKnot(3,1);;
XM1:=RegularCWComplex(M1);
K:=Nerve(M);;
XK:=RegularCWComplex(K);
K1:=Nerve(M1);;
XK1:=RegularCWComplex(K1);
Chi:=function(Y)
 return List([0..Dimension(Y)],i->(-1)^i*Y!.nrCells(i));
 end;;
Print(Chi(XM),"\n");
Print(Chi(XM1));
Print(Chi(XK),"\n");
Print(Chi(XK1));
