Singular

LIB "polymake.lib";
==> Welcome to polymake version
==> Copyright (c) 1997-2015
==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
==> http://www.polymake.org
intmat M[4][4]=
1,1,0,0,
1,0,1,0,
1,0,0,1,
1,-1,-1,-1;
polytope p = polytopeViaPoints(M);
isReflexive(p);
==> polymake: used package cdd
==>   cddlib
==>   Implementation of the double description method of Motzkin et al.
==>   Copyright by Komei Fukuda.
==>   http://www.ifor.math.ethz.ch/~fukuda/cdd_home/cdd.html
==> 
==> polymake: used package ppl
==>   The Parma Polyhedra Library (PPL): A C++ library for convex polyhedra
==>   and other numerical abstractions.
==>   http://www.cs.unipr.it/ppl/
==> 
==> 1
intmat N[4][4]=
1,2,0,0,
1,0,2,0,
1,0,0,2,
1,-2,-2,-2;
polytope q = polytopeViaPoints(M);
isReflexive(q);
==> 1