Magma V2.19-8 Tue Aug 20 2013 16:17:20 on localhost [Seed = 374835935] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1573 geometric_solution 5.35493134 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.054719582494 0.459607450825 0 4 5 3 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0.587058195094 0.783029244109 2 0 0 2 3201 0132 1023 2310 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 0 0 1 -1 0 0 0 -1 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 1.215576453870 0.242616597421 5 1 0 4 2310 1302 0132 0132 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 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 0.587058195094 0.783029244109 4 1 3 4 3201 0132 0132 2310 0 0 0 0 0 0 -1 1 -1 0 1 0 -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 -1 0 1 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025340065572 0.716048024942 6 6 3 1 0132 3201 3201 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 -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 0.111129637929 0.455398466114 5 6 5 6 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.148698822505 0.902092548481 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 368440887827293891/1620714946733293*c_0101_4^21 - 842775895682057121/1620714946733293*c_0101_4^20 - 6875072056135753230/1620714946733293*c_0101_4^19 + 8786257841563407148/1620714946733293*c_0101_4^18 + 43943760891794808489/1620714946733293*c_0101_4^17 - 16483827907824327846/1620714946733293*c_0101_4^16 - 117572716792548676723/1620714946733293*c_0101_4^15 + 26258885830563125540/1620714946733293*c_0101_4^14 + 213266331942344995567/1620714946733293*c_0101_4^13 - 13956815249556005989/1620714946733293*c_0101_4^12 - 280960610274444385771/1620714946733293*c_0101_4^11 - 71716771713608185683/1620714946733293*c_0101_4^10 + 209185766053094056266/1620714946733293*c_0101_4^9 + 120065719409688357799/1620714946733293*c_0101_4^8 - 68492380987151642463/1620714946733293*c_0101_4^7 - 72403800322932481179/1620714946733293*c_0101_4^6 + 3381884072581846405/1620714946733293*c_0101_4^5 + 23766754476395043922/1620714946733293*c_0101_4^4 + 6097232618310240802/1620714946733293*c_0101_4^3 - 3980058635949501862/1620714946733293*c_0101_4^2 - 2758750813613462737/1620714946733293*c_0101_4 - 505121497934657205/1620714946733293, c_0011_0 - 1, c_0011_3 + c_0101_4^21 - 3*c_0101_4^20 - 17*c_0101_4^19 + 37*c_0101_4^18 + 102*c_0101_4^17 - 128*c_0101_4^16 - 287*c_0101_4^15 + 293*c_0101_4^14 + 529*c_0101_4^13 - 439*c_0101_4^12 - 740*c_0101_4^11 + 335*c_0101_4^10 + 711*c_0101_4^9 - 67*c_0101_4^8 - 420*c_0101_4^7 - 70*c_0101_4^6 + 149*c_0101_4^5 + 60*c_0101_4^4 - 29*c_0101_4^3 - 23*c_0101_4^2 + c_0101_4 + 4, c_0011_5 - 1672456614494273/1620714946733293*c_0101_4^21 + 8356790134262913/1620714946733293*c_0101_4^20 + 17702352558175268/1620714946733293*c_0101_4^19 - 114990622237345284/1620714946733293*c_0101_4^18 - 39377933432617575/1620714946733293*c_0101_4^17 + 502471487600459765/1620714946733293*c_0101_4^16 + 33047843570681776/1620714946733293*c_0101_4^15 - 1205741259046979535/1620714946733293*c_0101_4^14 + 127177396383100900/1620714946733293*c_0101_4^13 + 1898497834890530954/1620714946733293*c_0101_4^12 - 214902580602061458/1620714946733293*c_0101_4^11 - 2041248308697744736/1620714946733293*c_0101_4^10 - 106864272067771304/1620714946733293*c_0101_4^9 + 1375762850838272081/1620714946733293*c_0101_4^8 + 349375420573418217/1620714946733293*c_0101_4^7 - 526543878746867167/1620714946733293*c_0101_4^6 - 248819018004549975/1620714946733293*c_0101_4^5 + 110909750701096355/1620714946733293*c_0101_4^4 + 96138425704481780/1620714946733293*c_0101_4^3 - 956152893362159/1620714946733293*c_0101_4^2 - 18851775065896549/1620714946733293*c_0101_4 - 6298202074838491/1620714946733293, c_0101_0 - 5119215780989894/1620714946733293*c_0101_4^21 + 17263787169818591/1620714946733293*c_0101_4^20 + 80592951269026216/1620714946733293*c_0101_4^19 - 218968173331363995/1620714946733293*c_0101_4^18 - 442052163915722121/1620714946733293*c_0101_4^17 + 813438767569836641/1620714946733293*c_0101_4^16 + 1183702916492076500/1620714946733293*c_0101_4^15 - 1911726162444130330/1620714946733293*c_0101_4^14 - 2050353344788149961/1620714946733293*c_0101_4^13 + 2953591229585540603/1620714946733293*c_0101_4^12 + 2801789753796094557/1620714946733293*c_0101_4^11 - 2686327173922923637/1620714946733293*c_0101_4^10 - 2780243789627014211/1620714946733293*c_0101_4^9 + 1298408835292093770/1620714946733293*c_0101_4^8 + 1748282094993244292/1620714946733293*c_0101_4^7 - 242936489394798820/1620714946733293*c_0101_4^6 - 698759090347304435/1620714946733293*c_0101_4^5 - 56632245037429648/1620714946733293*c_0101_4^4 + 181118161678169202/1620714946733293*c_0101_4^3 + 52935910956930251/1620714946733293*c_0101_4^2 - 23142640165423232/1620714946733293*c_0101_4 - 11978827522058324/1620714946733293, c_0101_1 - 1950243140525208/1620714946733293*c_0101_4^21 + 8128955990719802/1620714946733293*c_0101_4^20 + 25084508068226049/1620714946733293*c_0101_4^19 - 105607079505857456/1620714946733293*c_0101_4^18 - 99126581358848015/1620714946733293*c_0101_4^17 + 412650267269533833/1620714946733293*c_0101_4^16 + 210506313936794623/1620714946733293*c_0101_4^15 - 947888189940276692/1620714946733293*c_0101_4^14 - 252864756730569883/1620714946733293*c_0101_4^13 + 1415542870499655506/1620714946733293*c_0101_4^12 + 339808243553545847/1620714946733293*c_0101_4^11 - 1362829827319864407/1620714946733293*c_0101_4^10 - 504570517358993319/1620714946733293*c_0101_4^9 + 787499592680638514/1620714946733293*c_0101_4^8 + 435967586152568400/1620714946733293*c_0101_4^7 - 232135679735602066/1620714946733293*c_0101_4^6 - 211528350525393453/1620714946733293*c_0101_4^5 + 23799623013891425/1620714946733293*c_0101_4^4 + 63429780279960523/1620714946733293*c_0101_4^3 + 12114641768008997/1620714946733293*c_0101_4^2 - 9668006662457246/1620714946733293*c_0101_4 - 5805081342726380/1620714946733293, c_0101_2 - 2837430249679575/1620714946733293*c_0101_4^21 + 10111971599608986/1620714946733293*c_0101_4^20 + 42797879747602591/1620714946733293*c_0101_4^19 - 129996632807018445/1620714946733293*c_0101_4^18 - 220120244913327264/1620714946733293*c_0101_4^17 + 498322253299527032/1620714946733293*c_0101_4^16 + 552797483228745620/1620714946733293*c_0101_4^15 - 1183465380276994818/1620714946733293*c_0101_4^14 - 870158694645207407/1620714946733293*c_0101_4^13 + 1837446664778887855/1620714946733293*c_0101_4^12 + 1100984865965796138/1620714946733293*c_0101_4^11 - 1727518448701367251/1620714946733293*c_0101_4^10 - 1056788622826087332/1620714946733293*c_0101_4^9 + 929745168009539058/1620714946733293*c_0101_4^8 + 642704539135041809/1620714946733293*c_0101_4^7 - 262453920899031252/1620714946733293*c_0101_4^6 - 249072589485168181/1620714946733293*c_0101_4^5 + 18634231511174182/1620714946733293*c_0101_4^4 + 64645570112976742/1620714946733293*c_0101_4^3 + 15967825900246933/1620714946733293*c_0101_4^2 - 8224040090525827/1620714946733293*c_0101_4 - 4449006315499644/1620714946733293, c_0101_4^22 - 3*c_0101_4^21 - 17*c_0101_4^20 + 37*c_0101_4^19 + 102*c_0101_4^18 - 128*c_0101_4^17 - 287*c_0101_4^16 + 293*c_0101_4^15 + 529*c_0101_4^14 - 439*c_0101_4^13 - 740*c_0101_4^12 + 335*c_0101_4^11 + 711*c_0101_4^10 - 67*c_0101_4^9 - 420*c_0101_4^8 - 70*c_0101_4^7 + 149*c_0101_4^6 + 60*c_0101_4^5 - 29*c_0101_4^4 - 23*c_0101_4^3 + 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB