Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 3903419598] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s138 geometric_solution 4.18682891 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 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 0.400170563767 0.176251792905 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 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 0 1 -1 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 0.506900014706 0.745561544624 1 3 4 3 0132 3201 0132 2310 0 0 0 0 0 0 0 0 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 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 -0.637200012430 1.551643950477 2 4 2 1 3201 1023 2310 0132 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 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.637200012430 1.551643950477 3 5 5 2 1023 0132 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 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 0 0 0 0.247982915696 0.318555675830 4 4 5 5 2310 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.866439627508 1.127978265869 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : 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_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 19528194886722179077/1922932444435136056*c_0101_5^12 - 12444882195803837627/1922932444435136056*c_0101_5^11 + 921575920117585832889/1922932444435136056*c_0101_5^10 - 1768542278251261945615/961466222217568028*c_0101_5^9 + 8290600297100925812533/1922932444435136056*c_0101_5^8 - 5407356106211747637485/961466222217568028*c_0101_5^7 - 2395603295329551654495/961466222217568028*c_0101_5^6 + 3241745077756177008115/1922932444435136056*c_0101_5^5 + 11722069499098706197/73958940170582156*c_0101_5^4 + 1239202383385810070443/1922932444435136056*c_0101_5^3 + 153606803820324653523/1922932444435136056*c_0101_5^2 - 581262529078388573671/1922932444435136056*c_0101_5 - 118023305028774921925/1922932444435136056, c_0011_0 - 1, c_0011_1 - 2107631242510452/18489735042645539*c_0101_5^12 - 1663444543359229/18489735042645539*c_0101_5^11 + 99163899821427057/18489735042645539*c_0101_5^10 - 366668796043260113/18489735042645539*c_0101_5^9 + 841300282878103604/18489735042645539*c_0101_5^8 - 1049673842843861583/18489735042645539*c_0101_5^7 - 649737942871168349/18489735042645539*c_0101_5^6 + 207202849663521322/18489735042645539*c_0101_5^5 + 80742969435022597/18489735042645539*c_0101_5^4 + 149559392238669725/18489735042645539*c_0101_5^3 + 53712781421748649/18489735042645539*c_0101_5^2 - 31040373212709696/18489735042645539*c_0101_5 - 23203757803059455/18489735042645539, c_0011_3 - 7002769045098654/18489735042645539*c_0101_5^12 - 4660749161355219/18489735042645539*c_0101_5^11 + 330066276513407129/18489735042645539*c_0101_5^10 - 1259232099503961801/18489735042645539*c_0101_5^9 + 2950369566323690438/18489735042645539*c_0101_5^8 - 3845036596273885885/18489735042645539*c_0101_5^7 - 1704975113576605109/18489735042645539*c_0101_5^6 + 946865564654599234/18489735042645539*c_0101_5^5 + 96588467660588119/18489735042645539*c_0101_5^4 + 470234454598334476/18489735042645539*c_0101_5^3 + 17954693418263197/18489735042645539*c_0101_5^2 - 173148547424413505/18489735042645539*c_0101_5 - 44970843063918845/18489735042645539, c_0101_0 + 5751955364812743/18489735042645539*c_0101_5^12 + 2129517302143640/18489735042645539*c_0101_5^11 - 272074375747532353/18489735042645539*c_0101_5^10 + 1114409433867284297/18489735042645539*c_0101_5^9 - 2736786026904212248/18489735042645539*c_0101_5^8 + 3907840655566149412/18489735042645539*c_0101_5^7 + 383076965732505795/18489735042645539*c_0101_5^6 - 1066865592552584556/18489735042645539*c_0101_5^5 + 147832322618631740/18489735042645539*c_0101_5^4 - 402199861562730276/18489735042645539*c_0101_5^3 + 93382342239517585/18489735042645539*c_0101_5^2 + 148650180715755165/18489735042645539*c_0101_5 + 18598153978646834/18489735042645539, c_0101_1 - 3820345870851246/18489735042645539*c_0101_5^12 - 2901903389748707/18489735042645539*c_0101_5^11 + 179982586406627052/18489735042645539*c_0101_5^10 - 669963941046259959/18489735042645539*c_0101_5^9 + 1537638811777453150/18489735042645539*c_0101_5^8 - 1917137331250910796/18489735042645539*c_0101_5^7 - 1196630640034936087/18489735042645539*c_0101_5^6 + 520690376786500905/18489735042645539*c_0101_5^5 + 137586302543646902/18489735042645539*c_0101_5^4 + 206011461539207735/18489735042645539*c_0101_5^3 + 51216450102006902/18489735042645539*c_0101_5^2 - 95969663395200471/18489735042645539*c_0101_5 - 30131736083633009/18489735042645539, c_0101_5^13 + c_0101_5^12 - 47*c_0101_5^11 + 164*c_0101_5^10 - 357*c_0101_5^9 + 392*c_0101_5^8 + 466*c_0101_5^7 - 107*c_0101_5^6 - 72*c_0101_5^5 - 67*c_0101_5^4 - 29*c_0101_5^3 + 29*c_0101_5^2 + 15*c_0101_5 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB