17 generators of integral closure: 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 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 2 16 extreme rays: 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 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 (original) semigroup has rank 7 (maximal) (original) semigroup is of index 1 24 support hyperplanes: 1 1 1 1 1 0 -2 1 1 0 1 1 1 -2 1 1 1 0 1 1 -2 0 1 1 0 0 1 -1 0 0 0 0 0 1 0 1 0 0 1 0 1 -1 1 0 1 1 1 1 -2 1 1 1 0 0 0 -1 1 1 0 1 0 0 -1 1 0 1 0 1 0 -1 0 0 0 0 1 0 0 0 1 0 1 1 0 -1 1 0 0 0 0 0 0 1 1 1 1 1 1 -3 1 0 0 0 1 1 -1 0 1 0 0 1 1 -1 0 1 0 0 0 0 0 1 1 1 1 0 1 -2 0 0 1 1 1 0 -1 0 0 0 1 0 0 0 0 0 1 1 0 1 -1 0 0 1 0 0 0 0 0 1 1 1 1 1 -2 0 0 0 0 0 0 1 (original) semigroup is homogeneous via the linear form 1 1 1 1 1 1 -2 multiplicity = 72