GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
6 Hilbert basis elements of degree 1 4 extreme rays 4 support hyperplanes embedding dimension = 3 rank = 3 (maximal) external index = 1 internal index = 1 size of triangulation = 4 resulting sum of |det|s = 4 grading: 1 1 -2 degrees of extreme rays: 1: 4 multiplicity = 4 Hilbert series: 1 3 denominator with 3 factors: 1: 3 degree of Hilbert Series as rational function = -2 Hilbert polynomial: 1 3 2 with common denominator = 1 ideal is primary to the ideal generated by the indeterminates multiplicity of the ideal = 9 *********************************************************************** 6 Hilbert basis elements of degree 1: 0 1 0 0 3 1 1 0 0 1 2 1 2 1 1 3 0 1 4 extreme rays: 0 1 0 0 3 1 1 0 0 3 0 1 4 support hyperplanes: 0 0 1 0 1 0 1 0 0 1 1 -3