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: 418384234 extreme rays 27 support hyperplanes embedding dimension = 24 rank = 24 (maximal) external index = 1 grading: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 degrees of extreme rays: 1: 6 2: 132 4: 96 multiplicity = 1717/8192 Hilbert series: 1 5 133 363 4581 8655 69821 100915 596834 697232 3255226 3176870 12235441 10182887 33268048 23917200 67509138 42243510 104272000 56990048 123966919 59177761 113925878 47336170 80758791 28993857 43770180 13415068 17837843 4580485 5320122 1111974 1113216 180850 152891 17845 12346 890 481 15 6 denominator with 24 factors: 1: 1 2: 14 4: 9 degree of Hilbert Series as rational function = -25 Hilbert series with cyclotomic denominator: 1 5 133 363 4581 8655 69821 100915 596834 697232 3255226 3176870 12235441 10182887 33268048 23917200 67509138 42243510 104272000 56990048 123966919 59177761 113925878 47336170 80758791 28993857 43770180 13415068 17837843 4580485 5320122 1111974 1113216 180850 152891 17845 12346 890 481 15 6 cyclotomic denominator: 1: 24 2: 23 4: 9 Hilbert quasi-polynomial of period 4: only 2 highest coefficients computed their common period is 2 0: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15982652919 56262656 1: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15528493056 56262656 with common denominator = 6939597901822221635907747840000 *********************************************************************** 234 extreme rays: 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 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