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: 6 15 481 890 12346 17845 152891 180850 1113216 1111974 5320122 4580485 17837843 13415068 43770180 28993857 80758791 47336170 113925878 59177761 123966919 56990048 104272000 42243510 67509138 23917200 33268048 10182887 12235441 3176870 3255226 697232 596834 100915 69821 8655 4581 363 133 5 1 denominator with 24 factors: 1: 1 2: 14 4: 9 shift = 1 degree of Hilbert Series as rational function = -24 Hilbert series with cyclotomic denominator: 6 15 481 890 12346 17845 152891 180850 1113216 1111974 5320122 4580485 17837843 13415068 43770180 28993857 80758791 47336170 113925878 59177761 123966919 56990048 104272000 42243510 67509138 23917200 33268048 10182887 12235441 3176870 3255226 697232 596834 100915 69821 8655 4581 363 133 5 1 cyclotomic denominator: 1: 24 2: 23 4: 9 Hilbert quasi-polynomial of period 4: 0: 0 612110391050554998270197760000 1709609721927345788195281305600 2235090095318466196316262236160 1814406967084278932409201721344 1022793807354927162555277246464 424944451026543289962854350848 135035171780325940572125659136 33653773549410514503450230784 6695850738720330647185915904 1077117646038274999425957888 141324508116966522861387776 15208399820865144109891584 1345951326757873351061504 97953645430883792782848 5844730883797360941056 284142516582087619104 11138788013792071424 346565223270745248 8355767283233216 150440766159684 1902757989704 15074333193 56262656 1: 2034750310223351797008092160000 7092764342142539187142971648000 10993956689944535114848971571200 10296943476072123702492499783680 6605403226927212146686024605696 3103365017603347521230967146496 1112522323402168123081461006336 312708382526814747968882917376 70236498957607741083471691776 12777732600609022028727996416 1900969125417564857426804736 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6605403226927212146686024605696 3103365017603347521230967146496 1112522323402168123081461006336 312708382526814747968882917376 70236498957607741083471691776 12777732600609022028727996416 1900969125417564857426804736 232775557768205339564711936 23550177066613269945040896 1971185567930486788837376 136347422110529214283776 7764275212373429927936 361475816944595460096 13609891602705238016 407714316360400896 9485035053756416 165082152001536 2021595293696 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 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