Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 4105529595] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s562 geometric_solution 5.00578244 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 1 -1 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 0.059887872896 1.168275993705 0 1 2 1 0132 1302 3201 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 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 0.332684881864 0.810122766448 1 0 3 4 2310 0132 3201 1023 0 0 0 0 0 0 0 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 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 0.059887872896 1.168275993705 2 5 5 0 2310 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371072970723 0.199991331211 4 4 0 2 1230 3012 0132 1023 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 1 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.488524462035 1.151934436971 5 3 3 5 3201 0132 1023 2310 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 1.031547768786 1.058697231306 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 11096215493181794323842/381084381354115774585*c_0101_5^13 - 167814148169452175637114/381084381354115774585*c_0101_5^12 + 139517181366395774974697/76216876270823154917*c_0101_5^11 - 161428865037136947648067/76216876270823154917*c_0101_5^10 + 1995438616791933872010312/381084381354115774585*c_0101_5^9 - 4281576156761400673543457/381084381354115774585*c_0101_5^8 - 720905846900224732639402/76216876270823154917*c_0101_5^7 + 2300192418681646818230405/76216876270823154917*c_0101_5^6 + 3849238760466695499198397/381084381354115774585*c_0101_5^5 - 5159707603252366409277967/381084381354115774585*c_0101_5^4 - 2770885033115600025209766/381084381354115774585*c_0101_5^3 + 1132165238536083619807658/381084381354115774585*c_0101_5^2 + 100965097148133221632432/76216876270823154917*c_0101_5 - 107458001573982406238901/381084381354115774585, c_0011_0 - 1, c_0011_3 + 865173347467106599/76216876270823154917*c_0101_5^13 - 11380111892657848927/76216876270823154917*c_0101_5^12 + 29095147030011631897/76216876270823154917*c_0101_5^11 + 37198789168455217529/76216876270823154917*c_0101_5^10 + 57915812659958313914/76216876270823154917*c_0101_5^9 - 44727112231232122085/76216876270823154917*c_0101_5^8 - 878895588437094134146/76216876270823154917*c_0101_5^7 + 217548663871190387255/76216876270823154917*c_0101_5^6 + 1777192790278894957211/76216876270823154917*c_0101_5^5 + 672241289077605403749/76216876270823154917*c_0101_5^4 - 596465293296193257024/76216876270823154917*c_0101_5^3 - 535462082720384250489/76216876270823154917*c_0101_5^2 + 55349395193430088638/76216876270823154917*c_0101_5 + 31837399085542531493/76216876270823154917, c_0011_4 - 1788499995597553499/76216876270823154917*c_0101_5^13 + 28082640833300222191/76216876270823154917*c_0101_5^12 - 126999865822426995533/76216876270823154917*c_0101_5^11 + 179188849660160520741/76216876270823154917*c_0101_5^10 - 334422312903608775937/76216876270823154917*c_0101_5^9 + 815103709925040251884/76216876270823154917*c_0101_5^8 + 375412895130763723829/76216876270823154917*c_0101_5^7 - 2569702652301672680880/76216876270823154917*c_0101_5^6 + 40113045942915105014/76216876270823154917*c_0101_5^5 + 2008957129993879870183/76216876270823154917*c_0101_5^4 + 616083080800784877044/76216876270823154917*c_0101_5^3 - 418821904707439194587/76216876270823154917*c_0101_5^2 - 267684747273239926805/76216876270823154917*c_0101_5 + 5718667946769931048/76216876270823154917, c_0101_0 - 13375151169589745958/76216876270823154917*c_0101_5^13 + 200212564792002911024/76216876270823154917*c_0101_5^12 - 809370542043003755892/76216876270823154917*c_0101_5^11 + 839728293013619159447/76216876270823154917*c_0101_5^10 - 2242693049364486836765/76216876270823154917*c_0101_5^9 + 4778284024880385576842/76216876270823154917*c_0101_5^8 + 5183106738343321419236/76216876270823154917*c_0101_5^7 - 13256657681355156151712/76216876270823154917*c_0101_5^6 - 6883400109566858933631/76216876270823154917*c_0101_5^5 + 5648307174950836793072/76216876270823154917*c_0101_5^4 + 4356869673233320211060/76216876270823154917*c_0101_5^3 - 725836878083221453966/76216876270823154917*c_0101_5^2 - 666917169090750780127/76216876270823154917*c_0101_5 + 3302074975737965190/76216876270823154917, c_0101_1 + 5276525982456373116/76216876270823154917*c_0101_5^13 - 75398777718148395619/76216876270823154917*c_0101_5^12 + 265994015474992006624/76216876270823154917*c_0101_5^11 - 118920056515544125786/76216876270823154917*c_0101_5^10 + 669086498079554547437/76216876270823154917*c_0101_5^9 - 1259445324108111486942/76216876270823154917*c_0101_5^8 - 3297848654793307676594/76216876270823154917*c_0101_5^7 + 3840650008261112154277/76216876270823154917*c_0101_5^6 + 5878125726737380506857/76216876270823154917*c_0101_5^5 - 488299485095091740648/76216876270823154917*c_0101_5^4 - 2363998770422912508063/76216876270823154917*c_0101_5^3 - 336642168847628940250/76216876270823154917*c_0101_5^2 + 325890090464764336122/76216876270823154917*c_0101_5 + 20299740645212453256/76216876270823154917, c_0101_5^14 - 15*c_0101_5^13 + 61*c_0101_5^12 - 65*c_0101_5^11 + 171*c_0101_5^10 - 364*c_0101_5^9 - 372*c_0101_5^8 + 995*c_0101_5^7 + 476*c_0101_5^6 - 419*c_0101_5^5 - 310*c_0101_5^4 + 68*c_0101_5^3 + 58*c_0101_5^2 - 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB