Magma V2.19-8 Wed Aug 21 2013 01:03:40 on localhost [Seed = 239605302] Type ? for help. Type -D to quit. Loading file "L14n21793__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21793 geometric_solution 12.45696268 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 0 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 0 0 -1 1 1 0 -1 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248848731227 0.672840205051 0 5 7 6 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646191549474 0.756062675164 3 0 8 6 2031 0132 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 1 -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 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070317975991 0.822445678989 9 10 2 0 0132 0132 1302 0132 1 0 1 1 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 -1 0 1 0 0 -1 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646415332439 0.985761186496 5 11 0 8 3201 0132 0132 1230 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 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 -0.009932738793 0.740898192096 9 1 10 4 3012 0132 0132 2310 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 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 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562122489168 1.008899600747 10 2 1 11 2103 1302 0132 1230 1 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 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 0.334476616335 0.465037960544 12 8 9 1 0132 3120 3012 0132 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 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 1.039082377256 1.309951952790 4 7 11 2 3012 3120 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120511818380 1.008738969587 3 7 12 5 0132 1230 3120 1230 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 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 0.543372185701 0.684694962665 12 3 6 5 3120 0132 2103 0132 1 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 0 0 0 0 1 0 -1 0 0 -1 1 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448948077462 0.684109140022 6 4 8 12 3012 0132 0321 2031 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 -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 0.490777406868 0.879965839202 7 11 9 10 0132 1302 3120 3120 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430381713670 0.667045839757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0110_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : 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_0'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_1']), 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0110_11'], 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0110_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0011_12'], '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' : d['1'], 'c_1100_12' : negation(d['c_0101_0']), 's_1_7' : d['1'], 's_1_6' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : d['c_0101_2'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_12, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0110_11, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1077046482451691400990104880836194969623/39097804999784287621310604\ 7491416*c_0110_2^12 + 37378690330402620129082730264847240861589/105\ 56407349941757657753863282268232*c_0110_2^11 + 13967039418494481109930667894503923619951/3518802449980585885917954\ 427422744*c_0110_2^10 + 5988788449049857334631309632092255844195/37\ 7014548212205630634066545795294*c_0110_2^9 - 35530158267060351184256106542356740027233/1319550918742719707219232\ 910283529*c_0110_2^8 + 4782413006063056715260984702273127876233/167\ 562021427646946948474020353464*c_0110_2^7 - 1157758971867081156833662953098420787699793/52782036749708788288769\ 31641134116*c_0110_2^6 + 166513627564601724248936620152346562452865\ /5278203674970878828876931641134116*c_0110_2^5 - 3389873513586505394924165823767199907205833/10556407349941757657753\ 863282268232*c_0110_2^4 + 3623147924755291982359659556394068154779/\ 146616768749191078579914767809281*c_0110_2^3 - 148314933572027148873608374547295806045828/131955091874271970721923\ 2910283529*c_0110_2^2 + 12459827243798907465502619962194157652527/7\ 54029096424411261268133091590588*c_0110_2 - 7066414715793661608235251037027338362741/10556407349941757657753863\ 282268232, c_0011_0 - 1, c_0011_10 - 373747717067395588936750380393/2289098653383155012957295360\ 02*c_0110_2^12 + 224710574211125133489060651327/1144549326691577506\ 47864768001*c_0110_2^11 + 587487554227346280058983786855/2289098653\ 38315501295729536002*c_0110_2^10 + 2197311971013540068082428749491/228909865338315501295729536002*c_01\ 10_2^9 - 3509669567722575979340478244443/22890986533831550129572953\ 6002*c_0110_2^8 + 1753543481179674770815123152519/11445493266915775\ 0647864768001*c_0110_2^7 - 14679787695378161068408279135623/1144549\ 32669157750647864768001*c_0110_2^6 + 933929845799511904103846783535/114454932669157750647864768001*c_011\ 0_2^5 - 42680381760824878339766430595647/22890986533831550129572953\ 6002*c_0110_2^4 + 317535666302161590915029285009/228909865338315501\ 295729536002*c_0110_2^3 - 14511788188715752078241134001119/22890986\ 5338315501295729536002*c_0110_2^2 + 1345309628974453048052412047023/228909865338315501295729536002*c_01\ 10_2 + 47355813668579028096678100638/114454932669157750647864768001\ , c_0011_11 - 2822709250477997556467947464573/228909865338315501295729536\ 002*c_0110_2^12 + 3281375712069550505786122130275/22890986533831550\ 1295729536002*c_0110_2^11 + 4500361006892474006748085356471/2289098\ 65338315501295729536002*c_0110_2^10 + 8400937198422738575753261015169/114454932669157750647864768001*c_01\ 10_2^9 - 12801205277386050189981198874316/1144549326691577506478647\ 68001*c_0110_2^8 + 25922653303580369195692137573513/228909865338315\ 501295729536002*c_0110_2^7 - 110634345812421596728060587623964/1144\ 54932669157750647864768001*c_0110_2^6 + 2523819577024350555308619029973/114454932669157750647864768001*c_01\ 10_2^5 - 326361285455059041845241368826027/228909865338315501295729\ 536002*c_0110_2^4 - 7186500512496790646648883607664/114454932669157\ 750647864768001*c_0110_2^3 - 57327997521662276406101170913552/11445\ 4932669157750647864768001*c_0110_2^2 + 1626956594886553791213606163631/114454932669157750647864768001*c_01\ 10_2 + 259322893143600980403083080721/22890986533831550129572953600\ 2, c_0011_12 + 1183199029400144414725008491430/114454932669157750647864768\ 001*c_0110_2^12 - 2778253360903309188749355217735/22890986533831550\ 1295729536002*c_0110_2^11 - 1859481352196303894316624871936/1144549\ 32669157750647864768001*c_0110_2^10 - 14053429832550423336929145008557/228909865338315501295729536002*c_0\ 110_2^9 + 21545648593107331553161891836829/228909865338315501295729\ 536002*c_0110_2^8 - 22118790084050947143577941951453/22890986533831\ 5501295729536002*c_0110_2^7 + 92985204578416351659400557638795/1144\ 54932669157750647864768001*c_0110_2^6 - 3130569934084729739654425274139/114454932669157750647864768001*c_01\ 10_2^5 + 137475050875915664294923510944311/114454932669157750647864\ 768001*c_0110_2^4 + 9791713035129438854717862624589/228909865338315\ 501295729536002*c_0110_2^3 + 96850514848957601556875302401827/22890\ 9865338315501295729536002*c_0110_2^2 - 3041769532557315839342247689809/228909865338315501295729536002*c_01\ 10_2 - 233315880223673884381776262293/22890986533831550129572953600\ 2, c_0011_6 - 158194815803632646715654531225/22890986533831550129572953600\ 2*c_0110_2^12 + 83396189273290073682360278428/114454932669157750647\ 864768001*c_0110_2^11 + 266943531885037594922281280699/228909865338\ 315501295729536002*c_0110_2^10 + 978251806490995949114247958561/228\ 909865338315501295729536002*c_0110_2^9 - 1321254450016299590620720873359/228909865338315501295729536002*c_01\ 10_2^8 + 651748031282528100519817532225/114454932669157750647864768\ 001*c_0110_2^7 - 6160295537812336178898291663922/114454932669157750\ 647864768001*c_0110_2^6 - 488845062601486133205778740150/1144549326\ 69157750647864768001*c_0110_2^5 - 18521749385151354325518673590221/\ 228909865338315501295729536002*c_0110_2^4 - 2688314551290262800362335610959/228909865338315501295729536002*c_01\ 10_2^3 - 6679833647980739524213821362267/22890986533831550129572953\ 6002*c_0110_2^2 - 779893056113192719198840260925/228909865338315501\ 295729536002*c_0110_2 - 9459907176119782313817071389/11445493266915\ 7750647864768001, c_0011_8 + 201435769803200482382410021293/11445493266915775064786476800\ 1*c_0110_2^12 - 201322349037922158308466986390/11445493266915775064\ 7864768001*c_0110_2^11 - 350906825411677933064840987427/11445493266\ 9157750647864768001*c_0110_2^10 - 1259481769191528417441051264032/1\ 14454932669157750647864768001*c_0110_2^9 + 1602315767046875191976010339479/114454932669157750647864768001*c_01\ 10_2^8 - 1584130525031800332376151180846/11445493266915775064786476\ 8001*c_0110_2^7 + 15594753546194355520041925774239/1144549326691577\ 50647864768001*c_0110_2^6 + 2191805053341489947538596282603/1144549\ 32669157750647864768001*c_0110_2^5 + 23664452265883090650983288763773/114454932669157750647864768001*c_0\ 110_2^4 + 5045966208257415326590209697859/1144549326691577506478647\ 68001*c_0110_2^3 + 8564812569109267175625021050673/1144549326691577\ 50647864768001*c_0110_2^2 + 1492321383649199551584882860764/1144549\ 32669157750647864768001*c_0110_2 - 55376759881718633914073794474/114454932669157750647864768001, c_0101_0 - 5568293668501562194133948241477/4578197306766310025914590720\ 04*c_0110_2^12 + 6605559259810173718305184500569/457819730676631002\ 591459072004*c_0110_2^11 + 8702727515611299092577587020585/45781973\ 0676631002591459072004*c_0110_2^10 + 8230086394252997276793541337618/114454932669157750647864768001*c_01\ 10_2^9 - 12793751454113637426432669821616/1144549326691577506478647\ 68001*c_0110_2^8 + 52529609241784945824287273401071/457819730676631\ 002591459072004*c_0110_2^7 - 218933038316995374355944990191861/2289\ 09865338315501295729536002*c_0110_2^6 + 9931630334336644944444015035815/228909865338315501295729536002*c_01\ 10_2^5 - 645032315363636216188172043533649/457819730676631002591459\ 072004*c_0110_2^4 - 3823282056578190560876234670168/114454932669157\ 750647864768001*c_0110_2^3 - 56408355239682307668410340166362/11445\ 4932669157750647864768001*c_0110_2^2 + 5189834936289019030772491192371/228909865338315501295729536002*c_01\ 10_2 + 588821892840379986429215467855/45781973067663100259145907200\ 4, c_0101_1 - 1, c_0101_11 - 1298038078769566649633156610441/457819730676631002591459072\ 004*c_0110_2^12 + 1468299673169582693289576325029/45781973067663100\ 2591459072004*c_0110_2^11 + 2103703838400142727115836840637/4578197\ 30676631002591459072004*c_0110_2^10 + 1948153054194059307819596886609/114454932669157750647864768001*c_01\ 10_2^9 - 2865773379366147159332240271552/11445493266915775064786476\ 8001*c_0110_2^8 + 11640614469897425281993255285139/4578197306766310\ 02591459072004*c_0110_2^7 - 50773261262402609085536129231139/228909\ 865338315501295729536002*c_0110_2^6 - 541819590491738197030427447315/228909865338315501295729536002*c_011\ 0_2^5 - 150572254801262880325658187784793/4578197306766310025914590\ 72004*c_0110_2^4 - 3009184193730373973233410850637/1144549326691577\ 50647864768001*c_0110_2^3 - 13219194155799432332194675957034/114454\ 932669157750647864768001*c_0110_2^2 - 230949724037889015527792243677/228909865338315501295729536002*c_011\ 0_2 + 123666899545513758584636106095/457819730676631002591459072004\ , c_0101_2 - 8465365747434096173387497257/457819730676631002591459072004*\ c_0110_2^12 - 175247952795865235140651541499/4578197306766310025914\ 59072004*c_0110_2^11 + 248168092918704474183975825413/4578197306766\ 31002591459072004*c_0110_2^10 + 82099582047127129108552194239/11445\ 4932669157750647864768001*c_0110_2^9 + 239360449084706608958704446305/114454932669157750647864768001*c_011\ 0_2^8 - 1689995259610891000631380404477/457819730676631002591459072\ 004*c_0110_2^7 + 633210418352130143501451392511/2289098653383155012\ 95729536002*c_0110_2^6 - 7248677841292784859933776964661/2289098653\ 38315501295729536002*c_0110_2^5 + 402502328111796699138676758595/45\ 7819730676631002591459072004*c_0110_2^4 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