Magma V2.19-8 Tue Aug 20 2013 16:14:59 on localhost [Seed = 4122241519] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s953 geometric_solution 5.98588184 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 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 1 1 -2 1 0 0 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488885946029 1.007098136179 0 3 5 4 0132 0132 0132 0132 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 0 0 0 1 0 -1 -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 0 0 0.504895349407 0.961474976906 3 0 4 5 2310 0132 0132 2310 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 1 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 0 0 0 0 0.504895349407 0.961474976906 3 1 2 3 3201 0132 3201 2310 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 -1 0 1 -1 0 1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065980487877 0.867793416046 4 4 1 2 1230 3012 0132 0132 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 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 0.585457201871 0.778242588962 2 5 5 1 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477206133013 0.787687868088 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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_0011_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 27 Groebner basis: [ t + 4510765939409738581/2386702910531161*c_0101_3^26 - 97186916880086946189/4773405821062322*c_0101_3^25 - 1388207931257781452793/4773405821062322*c_0101_3^24 + 2723862308416936089985/4773405821062322*c_0101_3^23 + 8086800721075971333305/4773405821062322*c_0101_3^22 - 7352225509373650609002/2386702910531161*c_0101_3^21 - 22389244783171284909157/4773405821062322*c_0101_3^20 + 41669745194175655754155/4773405821062322*c_0101_3^19 + 37819085019685849782947/4773405821062322*c_0101_3^18 - 38352216491618741509872/2386702910531161*c_0101_3^17 - 43703786759951014681169/4773405821062322*c_0101_3^16 + 99562780754470846206691/4773405821062322*c_0101_3^15 + 19179919415040385350503/2386702910531161*c_0101_3^14 - 95082898717292577173881/4773405821062322*c_0101_3^13 - 28400479502573919220499/4773405821062322*c_0101_3^12 + 34091177721314706690828/2386702910531161*c_0101_3^11 + 9330702471077751425646/2386702910531161*c_0101_3^10 - 36695237561985773371927/4773405821062322*c_0101_3^9 - 5190002293420631138009/2386702910531161*c_0101_3^8 + 7226851668841483276910/2386702910531161*c_0101_3^7 + 2214803589523144634357/2386702910531161*c_0101_3^6 - 1963110242439010933709/2386702910531161*c_0101_3^5 - 653120244901822018789/2386702910531161*c_0101_3^4 + 651544798099157062891/4773405821062322*c_0101_3^3 + 116051699486390188577/2386702910531161*c_0101_3^2 - 24492741714769066787/2386702910531161*c_0101_3 - 18417090283500802403/4773405821062322, c_0011_0 - 1, c_0011_4 + c_0101_3^26 - 10*c_0101_3^25 - 162*c_0101_3^24 + 181*c_0101_3^23 + 1097*c_0101_3^22 - 902*c_0101_3^21 - 3530*c_0101_3^20 + 2536*c_0101_3^19 + 7116*c_0101_3^18 - 4825*c_0101_3^17 - 10185*c_0101_3^16 + 6506*c_0101_3^15 + 11119*c_0101_3^14 - 6265*c_0101_3^13 - 9582*c_0101_3^12 + 4260*c_0101_3^11 + 6528*c_0101_3^10 - 1958*c_0101_3^9 - 3429*c_0101_3^8 + 528*c_0101_3^7 + 1326*c_0101_3^6 - 30*c_0101_3^5 - 351*c_0101_3^4 - 31*c_0101_3^3 + 56*c_0101_3^2 + 9*c_0101_3 - 4, c_0011_5 - 2364531998756671473/2386702910531161*c_0101_3^26 + 24947939873975356412/2386702910531161*c_0101_3^25 + 369326990308542092879/2386702910531161*c_0101_3^24 - 631595537354693106889/2386702910531161*c_0101_3^23 - 2248768023276592865719/2386702910531161*c_0101_3^22 + 3372550807529797240471/2386702910531161*c_0101_3^21 + 6509285108785663996617/2386702910531161*c_0101_3^20 - 9584390982302499903758/2386702910531161*c_0101_3^19 - 11613955654884103137247/2386702910531161*c_0101_3^18 + 17811047719949517776957/2386702910531161*c_0101_3^17 + 14411053341759617718683/2386702910531161*c_0101_3^16 - 23333122406462350115627/2386702910531161*c_0101_3^15 - 13641540861779365513123/2386702910531161*c_0101_3^14 + 22345682358286898963188/2386702910531161*c_0101_3^13 + 10569314281436447551560/2386702910531161*c_0101_3^12 - 15907593343411548420152/2386702910531161*c_0101_3^11 - 6856520054090057377707/2386702910531161*c_0101_3^10 + 8405239791898073584999/2386702910531161*c_0101_3^9 + 3592674265548521818086/2386702910531161*c_0101_3^8 - 3216834297989899409382/2386702910531161*c_0101_3^7 - 1415728236834644074374/2386702910531161*c_0101_3^6 + 841279403790578311956/2386702910531161*c_0101_3^5 + 382903190394858482869/2386702910531161*c_0101_3^4 - 133324152663374717727/2386702910531161*c_0101_3^3 - 62064218616699643654/2386702910531161*c_0101_3^2 + 9526666092742007912/2386702910531161*c_0101_3 + 4469520777153491915/2386702910531161, c_0101_0 + 692940263914176225/2386702910531161*c_0101_3^26 - 7194589889439707006/2386702910531161*c_0101_3^25 - 109531703933208980733/2386702910531161*c_0101_3^24 + 167654733527701757798/2386702910531161*c_0101_3^23 + 700354590307862992488/2386702910531161*c_0101_3^22 - 902494283372595914396/2386702910531161*c_0101_3^21 - 2124109066570395136178/2386702910531161*c_0101_3^20 + 2619886613740749226544/2386702910531161*c_0101_3^19 + 3986832576110240428973/2386702910531161*c_0101_3^18 - 5004477609163327696951/2386702910531161*c_0101_3^17 - 5227470931018541901047/2386702910531161*c_0101_3^16 + 6745307775470265330095/2386702910531161*c_0101_3^15 + 5201181965218059790441/2386702910531161*c_0101_3^14 - 6620248103454229095335/2386702910531161*c_0101_3^13 - 4155003859643181786548/2386702910531161*c_0101_3^12 + 4798843242531148593107/2386702910531161*c_0101_3^11 + 2712855348337796354527/2386702910531161*c_0101_3^10 - 2565582233836284588993/2386702910531161*c_0101_3^9 - 1409303652954342843530/2386702910531161*c_0101_3^8 + 989566275606201456877/2386702910531161*c_0101_3^7 + 548744764464008828029/2386702910531161*c_0101_3^6 - 260720288172217140045/2386702910531161*c_0101_3^5 - 147010904244725189237/2386702910531161*c_0101_3^4 + 41779196269330860840/2386702910531161*c_0101_3^3 + 23684934343366788853/2386702910531161*c_0101_3^2 - 3041058742885495257/2386702910531161*c_0101_3 - 1699809958902860983/2386702910531161, c_0101_1 - 1942271691082367185/2386702910531161*c_0101_3^26 + 20424155620937285261/2386702910531161*c_0101_3^25 + 304066721367441744514/2386702910531161*c_0101_3^24 - 507815073782446422952/2386702910531161*c_0101_3^23 - 1860762149701146925817/2386702910531161*c_0101_3^22 + 2701264084182794867833/2386702910531161*c_0101_3^21 + 5414673313226310280496/2386702910531161*c_0101_3^20 - 7670449307025876625966/2386702910531161*c_0101_3^19 - 9726436780270721732809/2386702910531161*c_0101_3^18 + 14265335149226136611326/2386702910531161*c_0101_3^17 + 12176436617313340760951/2386702910531161*c_0101_3^16 - 18706336526879910648756/2386702910531161*c_0101_3^15 - 11632111869189013702185/2386702910531161*c_0101_3^14 + 17916322753931384573596/2386702910531161*c_0101_3^13 + 9059962968042623734475/2386702910531161*c_0101_3^12 - 12735278215136270618817/2386702910531161*c_0101_3^11 - 5868705763191905445230/2386702910531161*c_0101_3^10 + 6706563662270822501183/2386702910531161*c_0101_3^9 + 3053564885383579014009/2386702910531161*c_0101_3^8 - 2553828350800488579894/2386702910531161*c_0101_3^7 - 1191564298026902879084/2386702910531161*c_0101_3^6 + 663694936699619010627/2386702910531161*c_0101_3^5 + 318728858947690091345/2386702910531161*c_0101_3^4 - 104467549699347403594/2386702910531161*c_0101_3^3 - 51048125586339387329/2386702910531161*c_0101_3^2 + 7419899104522883235/2386702910531161*c_0101_3 + 3631157959168229640/2386702910531161, c_0101_3^27 - 10*c_0101_3^26 - 162*c_0101_3^25 + 181*c_0101_3^24 + 1097*c_0101_3^23 - 902*c_0101_3^22 - 3530*c_0101_3^21 + 2536*c_0101_3^20 + 7116*c_0101_3^19 - 4825*c_0101_3^18 - 10185*c_0101_3^17 + 6506*c_0101_3^16 + 11119*c_0101_3^15 - 6265*c_0101_3^14 - 9582*c_0101_3^13 + 4260*c_0101_3^12 + 6528*c_0101_3^11 - 1958*c_0101_3^10 - 3429*c_0101_3^9 + 528*c_0101_3^8 + 1326*c_0101_3^7 - 30*c_0101_3^6 - 351*c_0101_3^5 - 31*c_0101_3^4 + 56*c_0101_3^3 + 10*c_0101_3^2 - 4*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB