GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
6 extreme rays 8 support hyperplanes embedding dimension = 5 rank = 4 external index = 1 size of triangulation = 4 resulting sum of |det|s = 4 grading: 0 0 0 0 1 degrees of extreme rays: 1: 6 multiplicity = 4 integral = 27773/29515186701000 *********************************************************************** 6 extreme rays: 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 1 8 support hyperplanes: -1 -1 -1 0 2 -1 0 0 0 1 0 -1 0 0 1 0 0 -1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 -1 1 equations: 1 1 1 1 -2 4 basis elements of lattice: 1 0 0 -1 0 0 1 0 -1 0 0 0 1 -1 0 0 0 0 2 1