Are you sure you are not reinventing the wheel here? Sage has a rather complete interface to this database: http://doc.sagemath.org/html/en/reference/geometry/sage/geometry/polyhedron/palp_database.html
and it does other things with reflexive polytopes. google : sage reflexive polytope -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.