Hello,
I defined a 12-dimensional bounded polytope in polymake via a list of inequalities, then I extracted its integer hull, and then I computed the product of the number of vertices and the number of facets. I obtain a numerical value, but before that, I get three warnings that I don't understand. My code and the warnings are below. What do the warnings mean? And more importantly, can I trust the numerical result? Thanks in advance!
Code:
$a= new Polytope(INEQUALITIES=>[ "some inequalities" ]);
$b =$a-> LATTICE_POINTS;
$b= new Polytope(POINTS=>$b);
$n=($b-> N_VERTICES)*($b-> N_FACETS);
print $n;
Warnings:
WARNING: rule latte.integer_points: N_LATTICE_POINTS : CONE_AMBIENT_DIM , VERTICES failed: can't parse output from LattE's 'count'
polymake: WARNING: rule latte.integer_points: N_LATTICE_POINTS : CONE_AMBIENT_DIM, CONE_DIM, FACETS | INEQUALITIES failed: can't parse output from LattE's 'count'
polymake: WARNING: rule latte.ehrhartpoly: LATTICE, EHRHART_POLYNOMIAL_COEFF : CONE_AMBIENT_DIM, FACETS | INEQUALITIES failed: could not parse output from latte at /usr/share/polymake/apps/polytope/rules/latte.rules line 231.