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 grading: 1 1 -2 degrees of extreme rays: 1: 4 ideal is primary to the ideal generated by the indeterminates *********************************************************************** 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