Magma V2.19-8 Tue Aug 20 2013 17:56:31 on localhost [Seed = 4038149323] Type ? for help. Type -D to quit. Loading file "9_16__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_16 geometric_solution 9.88300696 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 3012 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 -1 1 0 -1 0 0 1 0 0 0 0 15 -1 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919985482487 1.047999814143 0 3 5 4 0132 3120 0132 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 -1 0 1 0 -1 0 -15 0 0 15 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612126509809 0.919652581406 3 0 0 6 2031 0132 1230 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 1 -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 0 0 0 0 0.526921164524 0.538906907872 6 1 2 0 1023 3120 1302 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 0 0 0 0 -14 0 0 14 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.012774741729 0.567922910931 6 7 1 8 3012 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 0 0 0 0 0 0 0 0 0 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.327448559395 1.553267816806 8 9 10 1 0132 0132 0132 0132 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 -1 1 0 0 -1 1 1 0 0 -1 -15 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206287450117 0.978482586067 9 3 2 4 2310 1023 0132 1230 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 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389350407297 0.923154369138 8 4 10 9 3120 0132 3120 0213 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 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678898665764 0.456567006131 5 10 4 7 0132 3120 0132 3120 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 0 0 0 15 0 0 -15 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678898665764 0.456567006131 10 5 6 7 0213 0132 3201 0213 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 0 0 0 -14 0 14 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 0.793708977606 0.978499530438 9 8 7 5 0213 3120 3120 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 0 1 14 0 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014406744013 0.301907559525 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_10' : d['c_0011_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_5']), 's_2_0' : negation(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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_1001_10']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_3'], '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_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0101_7, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3645407279/7589934752*c_1001_10^7 + 2127582657/1897483688*c_1001_10^6 + 7787764511/3794967376*c_1001_10^5 - 15724519585/7589934752*c_1001_10^4 - 2136743299/3794967376*c_1001_10^3 + 247093487479/7589934752*c_1001_10^2 - 53569557825/1897483688*c_1001_10 - 131339864661/7589934752, c_0011_0 - 1, c_0011_10 - 239667/16357618*c_1001_10^7 - 394141/8178809*c_1001_10^6 - 905385/8178809*c_1001_10^5 - 1088665/16357618*c_1001_10^4 + 95131/8178809*c_1001_10^3 - 16305999/16357618*c_1001_10^2 + 1669448/8178809*c_1001_10 + 5672579/16357618, c_0011_3 + 581973/32715236*c_1001_10^7 + 297279/8178809*c_1001_10^6 + 874361/16357618*c_1001_10^5 - 4337131/32715236*c_1001_10^4 + 111961/16357618*c_1001_10^3 + 47416357/32715236*c_1001_10^2 - 9345765/8178809*c_1001_10 - 41124127/32715236, c_0011_5 + 1026861/32715236*c_1001_10^7 + 744486/8178809*c_1001_10^6 + 3274307/16357618*c_1001_10^5 + 845957/32715236*c_1001_10^4 + 1716939/16357618*c_1001_10^3 + 68195241/32715236*c_1001_10^2 - 7038388/8178809*c_1001_10 - 33986975/32715236, c_0101_0 - 129985/16357618*c_1001_10^7 - 77228/8178809*c_1001_10^6 - 83171/8178809*c_1001_10^5 + 806867/16357618*c_1001_10^4 - 679651/8178809*c_1001_10^3 - 9656747/16357618*c_1001_10^2 + 12049668/8178809*c_1001_10 + 1174257/16357618, c_0101_1 + 581973/32715236*c_1001_10^7 + 297279/8178809*c_1001_10^6 + 874361/16357618*c_1001_10^5 - 4337131/32715236*c_1001_10^4 + 111961/16357618*c_1001_10^3 + 47416357/32715236*c_1001_10^2 - 9345765/8178809*c_1001_10 - 41124127/32715236, c_0101_2 + 110975/32715236*c_1001_10^7 - 9505/8178809*c_1001_10^6 + 197479/16357618*c_1001_10^5 - 838617/32715236*c_1001_10^4 + 1059713/16357618*c_1001_10^3 + 2597295/32715236*c_1001_10^2 - 5838366/8178809*c_1001_10 + 31845475/32715236, c_0101_5 + 1, c_0101_6 + 129985/16357618*c_1001_10^7 + 77228/8178809*c_1001_10^6 + 83171/8178809*c_1001_10^5 - 806867/16357618*c_1001_10^4 + 679651/8178809*c_1001_10^3 + 9656747/16357618*c_1001_10^2 - 12049668/8178809*c_1001_10 - 1174257/16357618, c_0101_7 - 239667/16357618*c_1001_10^7 - 394141/8178809*c_1001_10^6 - 905385/8178809*c_1001_10^5 - 1088665/16357618*c_1001_10^4 + 95131/8178809*c_1001_10^3 - 16305999/16357618*c_1001_10^2 + 1669448/8178809*c_1001_10 + 5672579/16357618, c_1001_10^8 + 3*c_1001_10^7 + 6*c_1001_10^6 - c_1001_10^5 - 3*c_1001_10^4 + 67*c_1001_10^3 - 13*c_1001_10^2 - 63*c_1001_10 - 29 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0101_7, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 5154208291524393965947/166524033352972693691709*c_1001_10^11 - 338394436880657867271626/1831764366882699630608799*c_1001_10^10 + 362060108766750552472922/1831764366882699630608799*c_1001_10^9 - 12517612967535654681092743/1831764366882699630608799*c_1001_10^8 + 51383211623759604420369535/1831764366882699630608799*c_1001_10^7 + 551154521752954451920885/12809541027151745668593*c_1001_10^6 - 441469634368074042709336/18502670372552521521301*c_1001_10^5 + 19949613230559285736896592/1831764366882699630608799*c_1001_10^4 + 34866040452625362878317495/1831764366882699630608799*c_1001_10^3 - 118953339511975216503879241/1831764366882699630608799*c_1001_10^2 - 930217207677506869578953/166524033352972693691709*c_1001_10 + 63567891789357936114918284/1831764366882699630608799, c_0011_0 - 1, c_0011_10 + 26290964024506787/61310183983756723587*c_1001_10^11 - 48265341257226134/20436727994585574529*c_1001_10^10 + 103468142928075736/61310183983756723587*c_1001_10^9 - 5743139540796991594/61310183983756723587*c_1001_10^8 + 20988405770242190948/61310183983756723587*c_1001_10^7 + 323061581346036194/428742545340956109*c_1001_10^6 - 3803430309607962113/61310183983756723587*c_1001_10^5 + 46121741362823804374/61310183983756723587*c_1001_10^4 + 6469574197278165005/20436727994585574529*c_1001_10^3 - 8941006801833231254/20436727994585574529*c_1001_10^2 - 14017566861826707880/61310183983756723587*c_1001_10 - 25401872792212959773/61310183983756723587, c_0011_3 - 8797015887409536728/4230402694879213927503*c_1001_10^11 + 59660659526529713689/4230402694879213927503*c_1001_10^10 - 38966684804533095608/1410134231626404642501*c_1001_10^9 + 2114953617108541053004/4230402694879213927503*c_1001_10^8 - 9809805022376290524964/4230402694879213927503*c_1001_10^7 - 3396109490089048175/9861078542841990507*c_1001_10^6 - 1427965418811825738838/1410134231626404642501*c_1001_10^5 - 9799207249969106346331/4230402694879213927503*c_1001_10^4 + 7384788577216972544005/4230402694879213927503*c_1001_10^3 + 257734472005598317232/1410134231626404642501*c_1001_10^2 + 2114037892443689505679/4230402694879213927503*c_1001_10 - 379393310066285832851/4230402694879213927503, c_0011_5 - 8028201161981867728/4230402694879213927503*c_1001_10^11 + 51482563378255695260/4230402694879213927503*c_1001_10^10 - 83449974404270557040/4230402694879213927503*c_1001_10^9 + 1868283330922593252103/4230402694879213927503*c_1001_10^8 - 8191990592126703596737/4230402694879213927503*c_1001_10^7 - 4189343410820542725/3287026180947330169*c_1001_10^6 - 634933340733373621367/4230402694879213927503*c_1001_10^5 - 10793224457814107439043/4230402694879213927503*c_1001_10^4 + 2900871785165103478031/4230402694879213927503*c_1001_10^3 + 4074978304584944084671/4230402694879213927503*c_1001_10^2 + 2111320692672173726347/4230402694879213927503*c_1001_10 + 642969643550903984764/1410134231626404642501, c_0101_0 - 359410719488424440/183930551951270170761*c_1001_10^11 + 2454628847565817696/183930551951270170761*c_1001_10^10 - 522232786247588375/20436727994585574529*c_1001_10^9 + 85426502155658587975/183930551951270170761*c_1001_10^8 - 36644265626644514978/16720959268297288251*c_1001_10^7 - 197485747950850657/428742545340956109*c_1001_10^6 + 6208187190460996060/61310183983756723587*c_1001_10^5 - 234098442953343993133/183930551951270170761*c_1001_10^4 + 328419753525073431343/183930551951270170761*c_1001_10^3 + 1942960471370171242/1857884363144143139*c_1001_10^2 + 218484477474041363989/183930551951270170761*c_1001_10 - 13549163507413753354/16720959268297288251, c_0101_1 - 8797015887409536728/4230402694879213927503*c_1001_10^11 + 59660659526529713689/4230402694879213927503*c_1001_10^10 - 38966684804533095608/1410134231626404642501*c_1001_10^9 + 2114953617108541053004/4230402694879213927503*c_1001_10^8 - 9809805022376290524964/4230402694879213927503*c_1001_10^7 - 3396109490089048175/9861078542841990507*c_1001_10^6 - 1427965418811825738838/1410134231626404642501*c_1001_10^5 - 9799207249969106346331/4230402694879213927503*c_1001_10^4 + 7384788577216972544005/4230402694879213927503*c_1001_10^3 + 257734472005598317232/1410134231626404642501*c_1001_10^2 + 2114037892443689505679/4230402694879213927503*c_1001_10 - 379393310066285832851/4230402694879213927503, c_0101_2 - 4155255788957966236/4230402694879213927503*c_1001_10^11 + 9449755435919453804/1410134231626404642501*c_1001_10^10 - 50688147477654620819/4230402694879213927503*c_1001_10^9 + 966082261587996553003/4230402694879213927503*c_1001_10^8 - 1542027787088120162225/1410134231626404642501*c_1001_10^7 - 12533217020400802612/29583235628525971521*c_1001_10^6 + 1167931989813713560672/1410134231626404642501*c_1001_10^5 + 34680159346025753915/128194021056945876591*c_1001_10^4 + 316867177664744169223/470044743875468214167*c_1001_10^3 + 1471483172654485763335/4230402694879213927503*c_1001_10^2 + 2222176222043021148538/4230402694879213927503*c_1001_10 - 5314302387697712469935/4230402694879213927503, c_0101_5 - 10592228515213233137/4230402694879213927503*c_1001_10^11 + 66967737384010688714/4230402694879213927503*c_1001_10^10 - 104031419926935117472/4230402694879213927503*c_1001_10^9 + 223341735886165937698/384582063170837629773*c_1001_10^8 - 10598364508944109963531/4230402694879213927503*c_1001_10^7 - 56200148963517999379/29583235628525971521*c_1001_10^6 - 1897973079544132045643/4230402694879213927503*c_1001_10^5 - 12138489297082025509699/4230402694879213927503*c_1001_10^4 - 581152013048756252920/4230402694879213927503*c_1001_10^3 + 4727677752785767890782/4230402694879213927503*c_1001_10^2 + 938164952382554384621/4230402694879213927503*c_1001_10 - 3980998509536179662215/4230402694879213927503, c_0101_6 + 359410719488424440/183930551951270170761*c_1001_10^11 - 2454628847565817696/183930551951270170761*c_1001_10^10 + 522232786247588375/20436727994585574529*c_1001_10^9 - 85426502155658587975/183930551951270170761*c_1001_10^8 + 36644265626644514978/16720959268297288251*c_1001_10^7 + 197485747950850657/428742545340956109*c_1001_10^6 - 6208187190460996060/61310183983756723587*c_1001_10^5 + 234098442953343993133/183930551951270170761*c_1001_10^4 - 328419753525073431343/183930551951270170761*c_1001_10^3 - 1942960471370171242/1857884363144143139*c_1001_10^2 - 218484477474041363989/183930551951270170761*c_1001_10 + 13549163507413753354/16720959268297288251, c_0101_7 + 26290964024506787/61310183983756723587*c_1001_10^11 - 48265341257226134/20436727994585574529*c_1001_10^10 + 103468142928075736/61310183983756723587*c_1001_10^9 - 5743139540796991594/61310183983756723587*c_1001_10^8 + 20988405770242190948/61310183983756723587*c_1001_10^7 + 323061581346036194/428742545340956109*c_1001_10^6 - 3803430309607962113/61310183983756723587*c_1001_10^5 + 46121741362823804374/61310183983756723587*c_1001_10^4 + 6469574197278165005/20436727994585574529*c_1001_10^3 - 8941006801833231254/20436727994585574529*c_1001_10^2 - 14017566861826707880/61310183983756723587*c_1001_10 - 25401872792212959773/61310183983756723587, c_1001_10^12 - 6*c_1001_10^11 + 7*c_1001_10^10 - 224*c_1001_10^9 + 919*c_1001_10^8 + 1263*c_1001_10^7 - 322*c_1001_10^6 + 489*c_1001_10^5 - 146*c_1001_10^4 - 1400*c_1001_10^3 - 233*c_1001_10^2 + 456*c_1001_10 + 433 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB