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: 41838473 Hilbert basis elements 24 Hilbert basis elements of degree 1 24 extreme rays 59 module generators over original monoid 457 support hyperplanes embedding dimension = 16 rank = 16 (maximal) external index = 3 internal index = 1 original monoid is not integrally closed size of partial triangulation = 354 resulting sum of |det|s = 1160 grading: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 with denominator = 3 degrees of extreme rays: 1: 24 Hilbert basis elements are not of degree 1 *********************************************************************** 24 Hilbert basis elements of degree 1: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 49 further Hilbert basis elements of higher degree: 0 0 0 0 0 0 1 1 1 1 0 0 2 2 2 2 0 0 0 0 0 0 1 1 1 1 0 1 2 2 1 2 0 0 0 0 0 0 2 1 2 2 1 0 1 1 1 1 0 0 0 0 0 0 2 2 2 2 0 0 1 1 1 1 0 0 0 0 0 1 2 1 1 2 1 0 1 1 1 1 0 0 0 0 0 1 2 2 1 2 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 1 2 2 1 2 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 2 1 2 2 1 0 0 0 0 0 1 1 1 1 0 0 2 2 2 2 0 0 0 0 0 0 1 1 1 1 0 1 2 1 1 2 1 0 0 0 0 0 1 1 1 1 0 1 2 2 1 2 0 0 0 0 0 0 2 1 2 2 1 0 0 0 0 0 0 0 1 1 1 1 2 1 2 2 1 0 1 1 1 1 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 2 2 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 2 2 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 2 2 1 0 1 1 1 1 1 1 2 2 1 0 1 0 0 1 1 1 1 1 0 1 2 2 1 1 0 1 1 1 1 2 1 1 2 1 0 1 2 2 1 1 0 1 1 1 1 2 2 1 1 1 0 1 2 2 2 2 0 1 2 1 0 1 1 1 1 1 0 1 2 2 2 2 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 2 1 1 2 1 1 2 1 1 1 1 0 1 1 1 1 2 1 1 2 2 1 1 1 1 1 1 0 1 1 1 1 2 2 2 2 1 0 1 1 1 1 1 0 1 2 1 0 2 1 1 2 1 1 2 1 1 1 1 0 1 2 1 0 2 1 1 2 2 1 1 1 1 1 1 0 1 2 1 0 2 2 2 2 1 0 1 1 1 1 1 1 1 2 1 0 1 1 1 2 1 1 2 1 1 1 1 1 1 2 1 0 1 1 1 2 2 1 1 1 1 1 2 1 1 1 0 1 1 1 1 2 1 1 2 1 1 1 2 1 1 1 0 1 1 1 1 2 2 1 1 1 1 2 2 1 1 1 0 1 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 0 1 1 1 2 1 1 1 1 1 2 2 1 1 1 1 0 1 1 2 2 1 0 1 1 1 2 2 1 1 2 0 1 2 1 0 1 1 1 1 1 1 2 2 1 1 2 1 1 1 1 0 1 1 1 1 2 1 1 2 1 1 1 0 1 2 1 1 1 1 1 1 2 1 1 2 1 1 1 1 0 1 1 1 2 1 1 1 2 1 1 2 1 1 1 1 0 1 1 2 2 1 0 1 2 1 1 2 1 1 2 0 1 2 1 0 1 1 1 1 2 1 1 2 1 1 2 1 1 1 1 0 1 1 1 1 1 0 1 2 2 1 2 0 1 2 1 0 2 2 2 2 1 0 1 2 2 1 2 1 1 1 1 0 2 2 2 2 2 2 2 2 0 1 1 1 1 2 1 2 2 1 0 1 2 2 2 2 0 1 2 1 0 2 1 2 2 1 0 1 24 extreme rays: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 59 module generators over original monoid: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 2 2 2 2 0 0 0 0 0 0 1 1 1 1 0 1 2 2 1 2 0 0 0 0 0 0 2 1 2 2 1 0 1 1 1 1 0 0 0 0 0 0 2 2 2 2 0 0 1 1 1 1 0 0 0 0 0 1 2 1 1 2 1 0 1 1 1 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2 1 1 1 1 0 1 1 1 2 1 1 1 1 1 2 2 1 1 1 1 0 1 1 2 2 1 0 1 1 1 2 2 1 1 2 0 1 2 1 0 1 1 1 1 1 1 2 2 1 1 2 1 1 1 1 0 1 1 1 1 2 1 1 2 1 1 1 0 1 2 1 1 1 1 1 1 2 1 1 2 1 1 1 1 0 1 1 1 2 1 1 1 2 1 1 2 1 1 1 1 0 1 1 2 2 1 0 1 2 1 1 2 1 1 2 0 1 2 1 0 1 1 1 1 2 1 1 2 1 1 2 1 1 1 1 0 1 1 1 1 1 0 1 2 2 1 2 0 1 2 1 0 2 2 2 2 1 0 1 2 2 1 2 1 1 1 1 0 2 2 2 2 2 2 2 2 0 1 1 1 1 2 1 2 2 1 0 1 2 2 2 2 0 1 2 1 0 2 1 2 2 1 0 1 2 1 2 2 1 0 2 1 2 2 1 0 2 2 2 2 2 1 2 2 1 0 2 2 2 2 0 0 2 2 2 2 2 1 2 2 1 0 2 2 2 2 0 1 2 2 1 2 2 2 2 2 0 0 2 1 2 2 1 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 1 2 2 1 2 2 2 2 2 0 1 2 1 1 2 1 0 2 2 2 2 2 2 2 2 0 1 2 2 1 2 0 0 2 2 2 2 2 2 2 2 0 1 2 2 1 2 0 1 2 2 1 2 457 support hyperplanes: -8 4 4 4 4 -2 -2 4 -2 4 -2 1 1 -2 1 1 -8 4 4 4 4 -2 -2 4 -2 4 -2 1 1 1 1 -2 -4 2 2 2 2 -4 2 2 -1 2 -1 -1 2 -1 2 -1 -4 2 2 2 2 -1 -1 2 -1 2 -1 -1 2 -1 -1 2 -4 2 2 2 2 -1 -1 2 -1 2 -1 -1 2 -1 2 -1 -4 2 2 2 2 -1 -1 2 -1 2 -1 -1 2 2 -4 2 -4 2 2 2 2 -1 -1 2 -1 2 -1 -1 2 2 -1 -1 -4 2 2 2 2 -1 -1 2 -1 2 -1 1 0 0 0 0 -4 8 -4 8 -4 2 2 -4 2 2 -1 -1 2 -1 2 -1 -2 -2 4 4 -2 -2 4 -2 4 -2 -2 4 -2 1 1 1 -2 -2 4 4 -2 -2 4 -2 4 -2 1 1 -2 1 1 1 -2 1 1 1 1 -2 1 1 -2 1 1 -2 1 1 -2 1 -2 1 1 1 1 -2 1 1 -2 1 1 -2 4 -2 4 -2 -2 1 1 1 1 -2 1 1 -2 1 1 0 0 0 0 0 -2 1 1 1 1 -2 1 1 -2 1 1 1 -2 1 1 1 -2 1 1 1 1 -2 1 1 -2 2 0 0 0 0 0 0 -2 1 1 1 1 -2 1 1 -2 4 -2 -2 4 -2 4 -2 -2 1 1 1 1 -2 1 1 -1 1 0 0 0 0 0 0 -2 1 1 1 1 -2 1 1 1 1 -2 1 1 -2 1 1 -2 1 1 1 1 -2 1 1 1 1 -2 1 1 1 -2 1 -2 1 1 1 1 -2 1 1 1 1 -2 1 1 1 1 -2 -2 1 1 1 1 -2 1 1 1 1 -2 2 0 0 0 0 -2 1 1 1 1 -2 2 0 -2 2 0 0 0 0 0 0 -2 1 1 1 1 -2 2 0 0 0 0 0 0 0 0 0 -2 1 1 1 1 -2 2 0 2 0 -2 2 0 0 0 0 -2 1 1 1 1 -2 4 -2 -2 4 -2 -2 4 -2 4 -2 -2 1 1 1 1 -2 4 -2 4 -2 -2 4 -2 -2 4 4 -2 1 1 1 1 -2 4 -2 4 -2 -2 4 -2 1 1 1 -2 1 1 1 1 -2 4 -2 4 -2 -2 4 -2 4 4 -2 -2 1 1 1 1 -2 4 -2 4 -2 -2 4 0 0 0 0 -2 1 1 1 1 -2 4 -2 4 -2 -2 4 4 -8 4 4 -2 1 1 1 1 -2 4 -2 4 -2 -2 4 4 4 4 -8 -2 1 1 1 1 -2 4 -2 4 -2 1 1 -2 1 1 1 -2 1 1 1 1 -2 4 -2 4 -2 2 0 0 0 0 0 -2 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