Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.
Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.
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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: 418426217 Hilbert basis elements 40 Hilbert basis elements of degree 1 40 extreme rays 3753 support hyperplanes embedding dimension = 17 rank = 17 (maximal) external index = 1 internal index = 1 original monoid is not integrally closed size of triangulation = 61640 resulting sum of |det|s = 102418 grading: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 -2 degrees of extreme rays: 1: 40 Hilbert basis elements are not of degree 1 multiplicity = 102418 Hilbert series: 1 23 236 1430 5691 15687 28934 30840 16040 3322 213 1 denominator with 17 factors: 1: 17 degree of Hilbert Series as rational function = -6 Hilbert polynomial: 10461394944000 44768360448000 87071768812800 103448519091072 84873181885776 51446835774880 24031794000760 8894635413664 2657308968457 647953374640 129540705580 21271433456 2881163558 321626480 28347860 1717808 51209 with common denominator = 10461394944000 *********************************************************************** 40 Hilbert basis elements of degree 1: 0 0 0 0 0 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