Can sage determine if a cone is gorenstein?
Let M and N be dual lattices of rank d. A d-dimensional rational finite polyhedral cone C is called a Gorenstein cone if it is generated by finitely many lattice points which are contained in an affine hyperplane ${x in M_RR : <x,n>=1}$ for some n in N.
Does sage have the capibility to determine if a given cone is Gorenstein?
Normaliz might be useful here. It's an optional package of sage and if you have it installed you can use it:
I'm not sure, whether or not the definition in normaliz agrees with your definition.