GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
20 extreme rays 16 support hyperplanes embedding dimension = 16 rank = 8 *********************************************************************** 20 extreme rays: 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 2 0 0 0 0 1 0 1 0 0 2 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 2 0 0 0 0 1 1 0 0 0 1 1 0 2 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 2 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 2 0 1 0 1 0 0 0 0 2 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0 0 2 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 16 support hyperplanes: 0 0 0 -1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 -1 -1 1 0 -1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 -1 0 0 0 -1 0 0 0 0 0 0 0 0 1 1 2 -1 -1 0 0 -1 0 0 0 0 0 0 0 1 0 -1 -1 1 1 -1 0 1 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 -1 -1 -1 0 0 0 0 0 0 0 0 0 8 equations: 1 0 0 0 0 0 0 -1 0 0 0 -1 1 0 0 0 0 1 0 0 0 0 0 -1 0 1 -1 -1 1 1 0 -1 0 0 1 0 0 0 0 1 0 -1 1 1 -2 -1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 -1 -1 -1 0 0 0 0 0 1 0 0 1 0 -1 -1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 -2 -1 -1 0 0 0 0 0 0 0 1 -1 0 1 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 1 1 1 1 -1 -1 -1 -1 8 basis elements of lattice: 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 -1 0 0 0 0 1 0 0 0 1 0 -1 2 0 1 2 -1 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 -1 -1 1 1 0 0 0 0 0 1 0 -1 0 0 -1 1 0 -1 1 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 1 1 -1 -1 -1 -1 1 1