Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3364443333] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s539 geometric_solution 4.95554224 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -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 0 1 -1 -1 0 1 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 0.397416907010 0.310502088904 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 0 -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 0.437530252794 1.220758633561 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.437530252794 1.220758633561 5 1 5 2 0132 0132 2310 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 0 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242189158123 1.607969876884 4 4 1 2 1302 2031 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.404000676947 0.897165387262 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.422695678662 0.141977459466 ==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' : negation(d['1']), 's_2_0' : negation(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' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_0']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : 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_4, c_0101_1, c_0101_2, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 4815488151398185852839784745/3865006501897103063687798*c_0110_2^14 + 841798187552358263204748631/3865006501897103063687798*c_0110_2^13 + 9283919964049201626157950681/3865006501897103063687798*c_0110_2^12 + 5402341880627220487896126731/3865006501897103063687798*c_0110_2^11 + 11495040542635273073518360931/3865006501897103063687798*c_0110_2^10 + 8016922373081952190766856459/1932503250948551531843899*c_0110_2^9 - 1949947552244491069146812279/1932503250948551531843899*c_0110_2^8 + 9637348407772196154876589447/3865006501897103063687798*c_0110_2^7 - 20629568303465660677381764635/3865006501897103063687798*c_0110_2^\ 6 + 8037421359719781692452505697/1932503250948551531843899*c_0110_2\ ^5 - 27671698323736974565114125709/3865006501897103063687798*c_0110\ _2^4 + 13269472214868467675827935470/1932503250948551531843899*c_01\ 10_2^3 - 12112160580307597594196732752/1932503250948551531843899*c_\ 0110_2^2 + 9769475270373888298886184349/3865006501897103063687798*c\ _0110_2 + 163464347293382964844670115/1932503250948551531843899, c_0011_0 - 1, c_0011_4 + 7297442159198984037625820/1932503250948551531843899*c_0110_2\ ^14 + 5188065539312832086644041/1932503250948551531843899*c_0110_2^\ 13 + 16679899915914315921615431/1932503250948551531843899*c_0110_2^\ 12 + 17373680016878670289373570/1932503250948551531843899*c_0110_2^\ 11 + 26650947782782597550533574/1932503250948551531843899*c_0110_2^\ 10 + 39215150300168668298700562/1932503250948551531843899*c_0110_2^\ 9 + 15533668418709919017340252/1932503250948551531843899*c_0110_2^8 + 23793842296112114954862960/1932503250948551531843899*c_0110_2^7 - 16131315223111928596315582/1932503250948551531843899*c_0110_2^6 + 16917435109789983270422222/1932503250948551531843899*c_0110_2^5 - 30265294943010827925542720/1932503250948551531843899*c_0110_2^4 + 23783182163828895280930334/1932503250948551531843899*c_0110_2^3 - 21765750084528587397311468/1932503250948551531843899*c_0110_2^2 + 2034374338271689968237717/1932503250948551531843899*c_0110_2 + 2165879396985962618941926/1932503250948551531843899, c_0101_1 - 1025324304488648436880355/1932503250948551531843899*c_0110_2\ ^14 + 333737387518488074780071/1932503250948551531843899*c_0110_2^1\ 3 - 1348910787239370937949143/1932503250948551531843899*c_0110_2^12 + 94898436832260668019989/1932503250948551531843899*c_0110_2^11 - 991776679197831217967890/1932503250948551531843899*c_0110_2^10 - 1223287079270148420042029/1932503250948551531843899*c_0110_2^9 + 4110111516565727176410899/1932503250948551531843899*c_0110_2^8 - 19912120649797955667453/1932503250948551531843899*c_0110_2^7 + 6247618889156935641093269/1932503250948551531843899*c_0110_2^6 - 4277640062120656257271823/1932503250948551531843899*c_0110_2^5 + 8230592297759141935168204/1932503250948551531843899*c_0110_2^4 - 5380408532333748683376632/1932503250948551531843899*c_0110_2^3 + 7267976897403702991072172/1932503250948551531843899*c_0110_2^2 - 2167150595561289522589464/1932503250948551531843899*c_0110_2 - 383439260103706355013083/1932503250948551531843899, c_0101_2 - 1459631547603947605910/278338362515994747493*c_0110_2^14 - 160069046525735615768/278338362515994747493*c_0110_2^13 - 2757431039157661086166/278338362515994747493*c_0110_2^12 - 1352040608161616334912/278338362515994747493*c_0110_2^11 - 3169578692290555281722/278338362515994747493*c_0110_2^10 - 4357171604711627861276/278338362515994747493*c_0110_2^9 + 1911632009564149677063/278338362515994747493*c_0110_2^8 - 2423617856225648683401/278338362515994747493*c_0110_2^7 + 7051962070001545906799/278338362515994747493*c_0110_2^6 - 4765681634128874701019/278338362515994747493*c_0110_2^5 + 8858421502611649303971/278338362515994747493*c_0110_2^4 - 8495842738762753167426/278338362515994747493*c_0110_2^3 + 7774323522506896059998/278338362515994747493*c_0110_2^2 - 3361364523878942430841/278338362515994747493*c_0110_2 + 57317050544595596779/278338362515994747493, c_0101_3 - 1853899960266306240090/278338362515994747493*c_0110_2^14 - 803504874547204224952/278338362515994747493*c_0110_2^13 - 4019929098974941721775/278338362515994747493*c_0110_2^12 - 3267710122360983535150/278338362515994747493*c_0110_2^11 - 5876655450655073623046/278338362515994747493*c_0110_2^10 - 8283439103406875565180/278338362515994747493*c_0110_2^9 - 1666350251273516107595/278338362515994747493*c_0110_2^8 - 5607503228584707093611/278338362515994747493*c_0110_2^7 + 5731154061558680561116/278338362515994747493*c_0110_2^6 - 5964127355246653213866/278338362515994747493*c_0110_2^5 + 9365759869773039229777/278338362515994747493*c_0110_2^4 - 8798035954613352286879/278338362515994747493*c_0110_2^3 + 8131124361724763355745/278338362515994747493*c_0110_2^2 - 2662393703375825694694/278338362515994747493*c_0110_2 + 214101897186767045991/278338362515994747493, c_0110_2^15 + 4/55*c_0110_2^14 + 21/11*c_0110_2^13 + 51/55*c_0110_2^12 + 25/11*c_0110_2^11 + 34/11*c_0110_2^10 - 63/55*c_0110_2^9 + 23/11*c_0110_2^8 - 246/55*c_0110_2^7 + 208/55*c_0110_2^6 - 334/55*c_0110_2^5 + 67/11*c_0110_2^4 - 307/55*c_0110_2^3 + 139/55*c_0110_2^2 - 7/55*c_0110_2 - 1/55 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB