GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
5 Hilbert basis elements of degree 1 4 extreme rays 4 support hyperplanes 1 excluded faces embedding dimension = 3 rank = 3 (maximal) external index = 1 internal index = 2 grading: 0 0 1 degrees of extreme rays: 1: 4 *********************************************************************** 5 Hilbert basis elements of degree 1: -1 0 1 0 -1 1 0 0 1 0 1 1 1 0 1 4 extreme rays: -1 0 1 0 -1 1 0 1 1 1 0 1 4 support hyperplanes: -1 -1 1 -1 1 1 1 -1 1 1 1 1 1 excluded faces: -1 -1 1