GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
10 Hilbert basis elements of degree 1 10 extreme rays 22 support hyperplanes embedding dimension = 6 rank = 6 (maximal) external index = 3 internal index = 1 size of partial triangulation = 1 resulting sum of |det|s = 2 grading: 1 1 1 1 1 1 with denominator = 3 degrees of extreme rays: 1: 10 *********************************************************************** 10 Hilbert basis elements of degree 1: 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 10 extreme rays: 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 22 support hyperplanes: -2 1 1 1 1 1 -1 -1 2 2 -1 2 -1 -1 2 2 2 -1 -1 2 -1 -1 2 2 -1 2 -1 2 2 -1 -1 2 2 -1 -1 2 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 -2 1 1 1 1 1 0 0 0 0 0 1 1 -2 1 1 1 1 1 1 -2 1 1 1 1 1 1 -2 1 1 1 1 1 1 -2 2 -1 -1 -1 2 2 2 -1 -1 2 -1 2 2 -1 2 -1 2 -1 2 2 -1 2 -1 -1 2 2 2 -1 -1 -1 1 congruences: 1 1 1 1 1 1 3 6 basis elements of lattice: 1 0 0 0 0 -1 0 1 0 0 0 -1 0 0 1 0 0 -1 0 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 0 0 3