Magma V2.19-8 Tue Aug 20 2013 16:18:21 on localhost [Seed = 155751460] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2564 geometric_solution 5.86704136 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -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 0.632909292577 0.376531480028 0 1 5 1 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657773965881 0.626921304415 2 0 2 5 2031 0132 1302 0132 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 1 -1 0 1 0 -1 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 0.809351308985 0.638206362791 3 5 3 0 2031 0132 1302 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861624772047 0.752884795511 5 6 0 6 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 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 -1 1 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 1.019718116452 0.713593165397 4 3 2 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 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 0.632909292577 0.376531480028 6 4 6 4 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549467862007 0.209407773146 ==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_2_6' : 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_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_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_6' : negation(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_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : 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_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_5, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 150100515634047330238/83719436212859827345*c_1001_0^15 - 3210366620844316109/16743887242571965469*c_1001_0^14 - 172587118124173284217/11959919458979975335*c_1001_0^13 - 318535790714029860784/83719436212859827345*c_1001_0^12 + 4751705754805892653948/83719436212859827345*c_1001_0^11 + 57454336332841062999/11959919458979975335*c_1001_0^10 - 13333173039899986233101/83719436212859827345*c_1001_0^9 - 951116845027795244738/83719436212859827345*c_1001_0^8 + 31616423507542121525553/83719436212859827345*c_1001_0^7 - 2507459009238136383872/83719436212859827345*c_1001_0^6 - 53484042675247690587012/83719436212859827345*c_1001_0^5 + 676032218306973510132/83719436212859827345*c_1001_0^4 + 87723051313171035022731/83719436212859827345*c_1001_0^3 + 22363986917002829887546/83719436212859827345*c_1001_0^2 - 8375038505886564402857/16743887242571965469*c_1001_0 - 10971475862515300320206/83719436212859827345, c_0011_0 - 1, c_0011_3 - 74506400833108387/2391983891795995067*c_1001_0^15 + 16118159773729390/2391983891795995067*c_1001_0^14 + 581789985023433173/2391983891795995067*c_1001_0^13 + 101819710512735484/2391983891795995067*c_1001_0^12 - 2258926775054270942/2391983891795995067*c_1001_0^11 + 60217486052718611/2391983891795995067*c_1001_0^10 + 6234557500861119561/2391983891795995067*c_1001_0^9 - 166716337335806004/2391983891795995067*c_1001_0^8 - 14805776268179534097/2391983891795995067*c_1001_0^7 + 2843804096777159934/2391983891795995067*c_1001_0^6 + 24110185993630040881/2391983891795995067*c_1001_0^5 - 2552204208427316823/2391983891795995067*c_1001_0^4 - 40867124760912313917/2391983891795995067*c_1001_0^3 - 6548766710844214157/2391983891795995067*c_1001_0^2 + 15268165716085520810/2391983891795995067*c_1001_0 + 2190439374591311836/2391983891795995067, c_0101_0 + 26713979913498558/2391983891795995067*c_1001_0^15 - 18042218053783401/2391983891795995067*c_1001_0^14 - 214300632655720724/2391983891795995067*c_1001_0^13 + 56930686343453488/2391983891795995067*c_1001_0^12 + 889516426471951450/2391983891795995067*c_1001_0^11 - 369085586915672450/2391983891795995067*c_1001_0^10 - 2429212746407710975/2391983891795995067*c_1001_0^9 + 1137701799413091172/2391983891795995067*c_1001_0^8 + 5768282827080453064/2391983891795995067*c_1001_0^7 - 3654438079263489190/2391983891795995067*c_1001_0^6 - 9221665856115516622/2391983891795995067*c_1001_0^5 + 5153435036534116791/2391983891795995067*c_1001_0^4 + 15575983746682145322/2391983891795995067*c_1001_0^3 - 4287334386137251152/2391983891795995067*c_1001_0^2 - 8524496177920706856/2391983891795995067*c_1001_0 + 662015800768048239/2391983891795995067, c_0101_1 + 43178065620048991/2391983891795995067*c_1001_0^15 - 8861415060653682/2391983891795995067*c_1001_0^14 - 345480390369938515/2391983891795995067*c_1001_0^13 - 65545329429019580/2391983891795995067*c_1001_0^12 + 1366580468502438585/2391983891795995067*c_1001_0^11 + 20365258766070804/2391983891795995067*c_1001_0^10 - 3766585256477401387/2391983891795995067*c_1001_0^9 + 16419869144813507/2391983891795995067*c_1001_0^8 + 8903574629208981797/2391983891795995067*c_1001_0^7 - 1583484374866164766/2391983891795995067*c_1001_0^6 - 14641779414805087851/2391983891795995067*c_1001_0^5 + 1420979066928676888/2391983891795995067*c_1001_0^4 + 23984083117572563842/2391983891795995067*c_1001_0^3 + 2835185894355425132/2391983891795995067*c_1001_0^2 - 9755290087197628187/2391983891795995067*c_1001_0 - 2427670353311750324/2391983891795995067, c_0101_5 - 504894345/19811566153*c_1001_0^15 + 162635282/19811566153*c_1001_0^14 + 4042871577/19811566153*c_1001_0^13 + 281178684/19811566153*c_1001_0^12 - 16023009929/19811566153*c_1001_0^11 + 1327160369/19811566153*c_1001_0^10 + 44021324788/19811566153*c_1001_0^9 - 3576078319/19811566153*c_1001_0^8 - 104687202336/19811566153*c_1001_0^7 + 23613593559/19811566153*c_1001_0^6 + 175339368952/19811566153*c_1001_0^5 - 25887213397/19811566153*c_1001_0^4 - 293908972815/19811566153*c_1001_0^3 - 38873319241/19811566153*c_1001_0^2 + 154050179244/19811566153*c_1001_0 + 28709142992/19811566153, c_0110_6 - 32292184957005367/2391983891795995067*c_1001_0^15 + 21619990228765783/2391983891795995067*c_1001_0^14 + 244875173072138172/2391983891795995067*c_1001_0^13 - 65542569618137110/2391983891795995067*c_1001_0^12 - 971436839271954944/2391983891795995067*c_1001_0^11 + 431324552027347245/2391983891795995067*c_1001_0^10 + 2584747971839511131/2391983891795995067*c_1001_0^9 - 1102185872973387470/2391983891795995067*c_1001_0^8 - 6101151026595688412/2391983891795995067*c_1001_0^7 + 3667851367331877910/2391983891795995067*c_1001_0^6 + 9436087917559445948/2391983891795995067*c_1001_0^5 - 4750907633652421750/2391983891795995067*c_1001_0^4 - 16007114877076817537/2391983891795995067*c_1001_0^3 + 4860603364997102263/2391983891795995067*c_1001_0^2 + 7037712187861246140/2391983891795995067*c_1001_0 - 1691226958768179607/2391983891795995067, c_1001_0^16 - 8*c_1001_0^14 - 3*c_1001_0^13 + 31*c_1001_0^12 + 6*c_1001_0^11 - 87*c_1001_0^10 - 16*c_1001_0^9 + 206*c_1001_0^8 + 6*c_1001_0^7 - 349*c_1001_0^6 - 36*c_1001_0^5 + 572*c_1001_0^4 + 212*c_1001_0^3 - 240*c_1001_0^2 - 97*c_1001_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB