GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
4 extreme rays 4 support hyperplanes embedding dimension = 9 rank = 3 *********************************************************************** 4 extreme rays: 0 2 1 2 1 0 1 0 2 1 0 2 2 1 0 0 2 1 1 2 0 0 1 2 2 0 1 2 0 1 0 1 2 1 2 0 4 support hyperplanes: -2 1 4 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 -1 2 0 0 0 0 0 0 4 1 -2 0 0 0 0 0 0 6 equations: 3 0 0 0 0 0 -2 -2 1 0 3 0 0 0 0 -2 1 -2 0 0 3 0 0 0 1 -2 -2 0 0 0 3 0 0 2 -1 -4 0 0 0 0 3 0 -1 -1 -1 0 0 0 0 0 3 -4 -1 2 3 basis elements of lattice: 3 0 0 -2 1 4 2 2 -1 0 3 0 1 1 1 2 -1 2 0 0 3 4 1 -2 -1 2 2