Magma V2.19-8 Tue Aug 20 2013 16:16:40 on localhost [Seed = 3937105440] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0960 geometric_solution 4.85466334 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 -1 0 1 1 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 1 -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 2.827701375854 1.997616951311 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 -0.512225047764 0.162679856338 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.099749628413 0.360877938347 5 2 5 6 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070580038767 1.671882950161 5 6 5 2 3201 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070580038767 1.671882950161 3 4 3 4 0132 3201 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254008305280 0.456921706559 6 4 3 6 3012 0132 0132 1230 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 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462177725302 0.485152382642 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1548902753205909/90839541083334560*c_1001_2^8 + 166520135687603/4541977054166728*c_1001_2^7 + 8639140384803913/136259311625001840*c_1001_2^6 + 6289049976061571/45419770541667280*c_1001_2^5 + 3994472972312027/45419770541667280*c_1001_2^4 + 10484921067375697/8790923330645280*c_1001_2^3 + 5655210667136003/1792885679276340*c_1001_2^2 + 186850167380651669/54503724650000736*c_1001_2 + 1176822408011475617/272518623250003680, c_0011_0 - 1, c_0011_2 + 871961187/649735648976*c_1001_2^8 - 5016174875/162433912244*c_1001_2^7 - 45391815299/974603473464*c_1001_2^6 - 69436855243/974603473464*c_1001_2^5 - 313886263811/974603473464*c_1001_2^4 - 1577524876657/1949206946928*c_1001_2^3 - 23638412783/12823729914*c_1001_2^2 - 1648138924207/1949206946928*c_1001_2 - 1314091572629/649735648976, c_0011_4 + 369737777307/26639161608016*c_1001_2^8 + 259587457177/6659790402004*c_1001_2^7 + 2343807405397/39958742412024*c_1001_2^6 + 5844448461557/39958742412024*c_1001_2^5 + 19014884263837/39958742412024*c_1001_2^4 + 90510605386247/79917484824048*c_1001_2^3 + 464216083381/525772926474*c_1001_2^2 + 13873710592937/79917484824048*c_1001_2 + 113865303131/649735648976, c_0101_0 - 29114979381/649735648976*c_1001_2^8 - 17790177543/162433912244*c_1001_2^7 - 50909252849/324867824488*c_1001_2^6 - 126647209297/324867824488*c_1001_2^5 - 472723519945/324867824488*c_1001_2^4 - 2016077228755/649735648976*c_1001_2^3 - 9139927353/4274576638*c_1001_2^2 - 1052092599293/649735648976*c_1001_2 - 192866196221/649735648976, c_0101_1 + 18864238173/649735648976*c_1001_2^8 + 2922655742/40608478061*c_1001_2^7 + 95772098285/974603473464*c_1001_2^6 + 272475779965/974603473464*c_1001_2^5 + 928501271669/974603473464*c_1001_2^4 + 3696317768821/1949206946928*c_1001_2^3 + 18367164773/12823729914*c_1001_2^2 + 2338419348655/1949206946928*c_1001_2 + 179324356121/649735648976, c_0101_3 - 23356567623/6659790402004*c_1001_2^8 - 4273181711/3329895201002*c_1001_2^7 - 115069696142/4994842801503*c_1001_2^6 - 112039065901/4994842801503*c_1001_2^5 - 227975856596/4994842801503*c_1001_2^4 - 3006645497261/19979371206012*c_1001_2^3 - 19849096877/262886463237*c_1001_2^2 - 13135657543637/19979371206012*c_1001_2 + 109028532779/162433912244, c_1001_2^9 + 7/3*c_1001_2^8 + 38/9*c_1001_2^7 + 100/9*c_1001_2^6 + 308/9*c_1001_2^5 + 665/9*c_1001_2^4 + 647/9*c_1001_2^3 + 857/9*c_1001_2^2 + 34*c_1001_2 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB