GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
2 vertices of polyhedron 4 extreme rays of recession cone 5 support hyperplanes of polyhedron (homogenized) embedding dimension = 4 affine dimension of the polyhedron = 3 (maximal) rank of recession monoid = 3 size of triangulation = 3 resulting sum of |det|s = 4 dehomogenization: 0 0 0 1 grading: 0 0 1 0 module rank = 1 multiplicity = 2 Hilbert series: 3 -1 denominator with 3 factors: 1: 3 shift = 2 degree of Hilbert Series as rational function = 0 Hilbert polynomial: -1 0 1 with common denominator = 1 *********************************************************************** 2 vertices of polyhedron: 2 0 2 1 2 2 2 1 4 extreme rays of recession cone: 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 5 support hyperplanes of polyhedron (homogenized): -1 0 1 0 0 -1 1 0 0 0 0 1 0 1 0 0 1 0 0 -2