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Computing the Index of a Gorenstein Polytope

Posted: 12 Feb 2015, 23:05
by done-with-fish
A d-dimensional lattice polytope P has index r if rP contains an interior lattice point m and rP-m is reflexive. I am trying to figure out if polymake has the ability to compute the index of a Gorenstein polytope but I haven't found anything in the documentation. Does polymake have this capability?

Re: Computing the Index of a Gorenstein Polytope

Posted: 12 Feb 2015, 23:45
by blorenz
Yes polymake can compute whether a polytope is gorenstein and the index. See here. polymake can also compute the GORENSTEIN_VECTOR m.
Benjamin

Re: Computing the Index of a Gorenstein Polytope

Posted: 14 Feb 2015, 08:29
by done-with-fish
Don't know how I missed this. Thanks!