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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 4183842 module generators 1 Hilbert basis elements of recession monoid 2 vertices of polyhedron 1 extreme rays of recession cone 3 support hyperplanes of polyhedron (homogenized) embedding dimension = 3 affine dimension of the polyhedron = 2 (maximal) rank of recession monoid = 1 size of triangulation = 1 resulting sum of |det|s = 8 dehomogenization: 0 0 1 grading: 1 0 0 module rank = 2 multiplicity = 2 Hilbert series: 1 1 denominator with 1 factors: 1: 1 shift = -1 degree of Hilbert Series as rational function = -1 The numerator of the Hilbert Series is symmetric. Hilbert polynomial: 2 with common denominator = 1 *********************************************************************** 2 module generators: -1 0 1 0 1 1 1 Hilbert basis elements of recession monoid: 1 0 0 2 vertices of polyhedron: -4 -1 2 0 3 2 1 extreme rays of recession cone: 1 0 0 3 support hyperplanes of polyhedron (homogenized): 0 -2 3 0 2 1 2 -2 3