GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
14 Hilbert basis elements 14 extreme rays 34 support hyperplanes embedding dimension = 9 rank = 9 (maximal) external index = 1 internal index = 1 original monoid is integrally closed size of partial triangulation = 1 resulting sum of |det|s = 2 No implicit grading found *********************************************************************** 14 Hilbert basis elements: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 14 extreme rays: 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 34 support hyperplanes: 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 -1 0 0 1 0 1 0 1 0 -1 0 0 1 1 0 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 -1 0 1 0 0 0 1 1 0 -1 0 1 1 0 0 0 0 1 -1 0 1 1 0 0 0 1 0 -1 0 1 1 0 0 1 0 0 -1 0 1 1 0 1 0 0 0 -1 0 1 1 0 1 1 1 0 -2 0 1 2 0 1 0 0 1 -2 0 1 2 0 1 0 1 0 -2 0 1 2 0 2 0 1 1 -3 0 2 1 0 0 0 1 1 -2 0 2 1 0 0 1 1 0 -2 0 2 2 0 1 1 1 0 -3 0 2 3 0 2 0 1 1 -4 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 -1 1 0 0 0 0 1 1 0 -1 1 0 1 0 0 0 1 0 -1 1 1 0 0 0 1 0 0 -1 1 1 0 0 0 2 1 0 -2 1 1 0 1 1 0 0 0 -1 1 2 1 0 0 2 1 0 -3