Magma V2.19-8 Wed Aug 21 2013 00:56:21 on localhost [Seed = 728576279] Type ? for help. Type -D to quit. Loading file "L13n1673__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1673 geometric_solution 11.60318623 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 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 0.790660592823 0.952592338130 0 5 2 6 0132 0132 2031 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750270325308 0.939828025708 7 0 8 1 0132 0132 0132 1302 1 1 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 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 0 0 0 0 0 0 0.772636132895 0.476441788436 8 9 5 0 2031 0132 0132 0132 1 1 1 1 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 0 -1 1 0 -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 0.101991326359 0.910914167968 5 8 0 10 0132 0132 0132 0132 1 1 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 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.376154341268 0.674344079164 4 1 11 3 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 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 0.477965680035 0.529260447899 10 11 1 9 1023 0132 0132 3012 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286774322715 0.555156070065 2 12 9 10 0132 0132 1230 2310 0 1 1 1 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 -1 1 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 0.853845984300 1.101202708715 12 4 3 2 0132 0132 1302 0132 1 1 1 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 0 0 0 0 1 -1 0 0 0 1 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.423146974921 0.569405167794 12 3 6 7 3012 0132 1230 3012 1 0 1 1 0 0 0 0 2 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 -1 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 0.426922992150 0.550601354357 7 6 4 11 3201 1023 0132 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0.132752846174 0.710940521908 12 6 10 5 2310 0132 0132 0132 1 1 1 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 -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 1.746199458603 1.359195637317 8 7 11 9 0132 0132 3201 1230 0 1 1 1 0 1 1 -2 0 0 0 0 0 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 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453685848912 0.435892627765 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_0101_9']), 's_3_11' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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_0101_9']), 'c_1100_8' : d['c_0101_1'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_1001_2'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0101_10']), '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_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0101_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0101_9, c_1001_0, c_1001_2, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 86169511859019792468708504357/1319721253172832646590221950000*c_110\ 0_0^9 - 346247097924634612594722360873/6598606265864163232951109750\ 00*c_1100_0^8 + 1684065042427735038115527355477/6598606265864163232\ 95110975000*c_1100_0^7 - 61977455119917911994448475497/131972125317\ 28326465902219500*c_1100_0^6 + 75968961765474008558619418851/527888\ 50126913305863608878000*c_1100_0^5 + 2253429856518045015291192347607/659860626586416323295110975000*c_11\ 00_0^4 + 989946835329091331755458258069/131972125317283264659022195\ 0000*c_1100_0^3 - 6609938229183710757477069263653/65986062658641632\ 3295110975000*c_1100_0^2 + 289554060348110217847541368839/329930313\ 29320816164755548750*c_1100_0 - 101032072601314024503611906363/2639\ 4425063456652931804439000, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 34997695987446/2661778372386875*c_1100_0^9 + 302934068742888/2661778372386875*c_1100_0^8 - 1641926692453812/2661778372386875*c_1100_0^7 + 155706623843231/106471134895475*c_1100_0^6 - 182317252505968/106471134895475*c_1100_0^5 - 1500552983232517/2661778372386875*c_1100_0^4 + 3047254171062968/2661778372386875*c_1100_0^3 + 7790947764019093/2661778372386875*c_1100_0^2 - 2830202590835076/532355674477375*c_1100_0 + 191845732588793/106471134895475, c_0101_0 + 43120628099946/2661778372386875*c_1100_0^9 - 296070845739138/2661778372386875*c_1100_0^8 + 1440262637743812/2661778372386875*c_1100_0^7 - 83153488270156/106471134895475*c_1100_0^6 + 57673873881543/106471134895475*c_1100_0^5 + 1436436386010642/2661778372386875*c_1100_0^4 - 1433644868076718/2661778372386875*c_1100_0^3 - 3972860557765968/2661778372386875*c_1100_0^2 + 1503567421699701/532355674477375*c_1100_0 - 111577339840468/106471134895475, c_0101_1 + 282130364383416/2661778372386875*c_1100_0^9 - 1969375259913273/2661778372386875*c_1100_0^8 + 9091641223635952/2661778372386875*c_1100_0^7 - 461151087481139/106471134895475*c_1100_0^6 - 90075179754862/106471134895475*c_1100_0^5 + 10551767061545707/2661778372386875*c_1100_0^4 + 12052740061884572/2661778372386875*c_1100_0^3 - 27823291441365303/2661778372386875*c_1100_0^2 + 3133293164748056/532355674477375*c_1100_0 - 160927393545663/106471134895475, c_0101_10 + 510651211948461/2661778372386875*c_1100_0^9 - 3662641634417208/2661778372386875*c_1100_0^8 + 17236921024341342/2661778372386875*c_1100_0^7 - 984613250785968/106471134895475*c_1100_0^6 + 100944101099953/106471134895475*c_1100_0^5 + 18182413165726422/2661778372386875*c_1100_0^4 + 16121876891294987/2661778372386875*c_1100_0^3 - 52805980759949888/2661778372386875*c_1100_0^2 + 7920765485968456/532355674477375*c_1100_0 - 483339337855328/106471134895475, c_0101_11 + 1540794006/17671557659*c_1100_0^9 - 10731629862/17671557659*c_1100_0^8 + 50603296676/17671557659*c_1100_0^7 - 68863092280/17671557659*c_1100_0^6 + 15938638873/17671557659*c_1100_0^5 + 41132362688/17671557659*c_1100_0^4 + 42932283675/17671557659*c_1100_0^3 - 145288583575/17671557659*c_1100_0^2 + 141994694250/17671557659*c_1100_0 - 56122388313/17671557659, c_0101_7 + 429166498320054/2661778372386875*c_1100_0^9 - 2929969427184612/2661778372386875*c_1100_0^8 + 13602316431191188/2661778372386875*c_1100_0^7 - 674093638130769/106471134895475*c_1100_0^6 + 9743345913682/106471134895475*c_1100_0^5 + 10890571276527483/2661778372386875*c_1100_0^4 + 15980604628156718/2661778372386875*c_1100_0^3 - 35977238037949657/2661778372386875*c_1100_0^2 + 5724977737727424/532355674477375*c_1100_0 - 484429046582857/106471134895475, c_0101_9 + 250882096960116/2661778372386875*c_1100_0^9 - 1696842997178823/2661778372386875*c_1100_0^8 + 15603581079303029/5323556744773750*c_1100_0^7 - 145061367950431/42588453958190*c_1100_0^6 - 69724973320942/106471134895475*c_1100_0^5 + 7739233942206607/2661778372386875*c_1100_0^4 + 10804890273283822/2661778372386875*c_1100_0^3 - 22098625116359803/2661778372386875*c_1100_0^2 + 2507505362459451/532355674477375*c_1100_0 - 107799103166033/106471134895475, c_1001_0 - 40253256709128/532355674477375*c_1100_0^9 + 279707628937194/532355674477375*c_1100_0^8 - 1296516848671621/532355674477375*c_1100_0^7 + 326818161269064/106471134895475*c_1100_0^6 + 1975746092510/4258845395819*c_1100_0^5 - 1762606111994006/532355674477375*c_1100_0^4 - 1773369978516456/532355674477375*c_1100_0^3 + 3994322100330544/532355674477375*c_1100_0^2 - 449614349615504/106471134895475*c_1100_0 - 143409584420/4258845395819, c_1001_2 + 6042248844408/380254053198125*c_1100_0^9 - 60094300538124/380254053198125*c_1100_0^8 + 308479451826226/380254053198125*c_1100_0^7 - 30471694647818/15210162127925*c_1100_0^6 + 16486692064814/15210162127925*c_1100_0^5 + 428252584120441/380254053198125*c_1100_0^4 - 180192625025464/380254053198125*c_1100_0^3 - 1577472890276964/380254053198125*c_1100_0^2 + 339410810680248/76050810639625*c_1100_0 - 18696142559339/15210162127925, c_1001_5 + 62469918633222/380254053198125*c_1100_0^9 - 417586600597266/380254053198125*c_1100_0^8 + 1914378910925884/380254053198125*c_1100_0^7 - 85934357508242/15210162127925*c_1100_0^6 - 16414290387249/15210162127925*c_1100_0^5 + 1546636382757944/380254053198125*c_1100_0^4 + 2513459133020424/380254053198125*c_1100_0^3 - 4594164404528076/380254053198125*c_1100_0^2 + 628334652656007/76050810639625*c_1100_0 - 57737236262076/15210162127925, c_1100_0^10 - 8*c_1100_0^9 + 358/9*c_1100_0^8 - 230/3*c_1100_0^7 + 425/9*c_1100_0^6 + 268/9*c_1100_0^5 + 13/9*c_1100_0^4 - 1162/9*c_1100_0^3 + 170*c_1100_0^2 - 100*c_1100_0 + 250/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB