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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: 4184253 original generators of the toric ring 3 Hilbert basis elements 3 Hilbert basis elements of degree 1 2 extreme rays 2 support hyperplanes embedding dimension = 2 rank = 2 (maximal) external index = 2 internal index = 1 original monoid is integrally closed size of triangulation = 2 resulting sum of |det|s = 2 grading: 1 1 with denominator = 2 degrees of extreme rays: 1: 2 Hilbert basis elements are of degree 1 multiplicity = 2 Hilbert series: 1 1 denominator with 2 factors: 1: 2 degree of Hilbert Series as rational function = -1 The numerator of the Hilbert Series is symmetric. Hilbert polynomial: 1 2 with common denominator = 1 rank of class group = 0 finite cyclic summands: 2: 1 *********************************************************************** 3 original generators: 0 2 1 1 2 0 3 Hilbert basis elements of degree 1: 0 2 1 1 2 0 0 further Hilbert basis elements of higher degree: 2 extreme rays: 0 2 2 0 2 support hyperplanes: 0 1 1 0 1 congruences: 1 1 2 2 basis elements of lattice: 1 1 0 2