Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 1899031959] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1869 geometric_solution 5.50220257 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455338343242 0.174767135226 0 2 0 3 0132 0132 1023 0132 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 0 1 0 -1 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 0.704055840704 1.343288876211 4 1 5 3 0132 0132 0132 3120 0 0 0 0 0 1 -1 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 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 0.377548559433 0.584176380552 2 5 1 4 3120 3201 0132 3201 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 -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 0.377548559433 0.584176380552 2 3 6 6 0132 2310 2310 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 1.038252798450 1.895127787592 5 5 3 2 1230 3012 2310 0132 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 1 -1 0 0 0 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 0.501025476372 0.919806179684 6 4 4 6 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.585286020290 0.346714496437 ==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_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0011_0']})} 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_0011_5, c_0011_6, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 28/3*c_0101_5^2 + 65/3*c_0101_5 + 15, c_0011_0 - 1, c_0011_3 + c_0101_5^2 - 2*c_0101_5, c_0011_5 - c_0101_5 + 1, c_0011_6 - c_0101_5, c_0101_1 + c_0101_5 - 1, c_0101_4 + c_0101_5^2 - 2*c_0101_5, c_0101_5^3 - 3*c_0101_5^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 8022465408157203610193/5054859429903281813504*c_0101_5^19 - 15868032986056574439647/5054859429903281813504*c_0101_5^18 - 46631410189441978542469/1263714857475820453376*c_0101_5^17 + 31781638509116433848613/1263714857475820453376*c_0101_5^16 + 179329901062638344650589/5054859429903281813504*c_0101_5^15 + 277247908803335366617487/2527429714951640906752*c_0101_5^14 - 40006706156511444836525/1263714857475820453376*c_0101_5^13 - 57751780451942289210587/1263714857475820453376*c_0101_5^12 + 6683971340933306079823/2527429714951640906752*c_0101_5^11 + 83371990288451424963937/2527429714951640906752*c_0101_5^10 + 147331723417195903817543/2527429714951640906752*c_0101_5^9 - 31610853459502553620697/1263714857475820453376*c_0101_5^8 - 524876441507752535203351/5054859429903281813504*c_0101_5^7 - 202691618889910896617915/2527429714951640906752*c_0101_5^6 - 86388725206198187041141/2527429714951640906752*c_0101_5^5 + 67122018939947548123857/5054859429903281813504*c_0101_5^4 + 207450035797255984090519/5054859429903281813504*c_0101_5^3 + 40297142150686205575259/5054859429903281813504*c_0101_5^2 - 1098466823999870032505/631857428737910226688*c_0101_5 - 42047364991126263597259/5054859429903281813504, c_0011_0 - 1, c_0011_3 - 10999803653069295/133415842216619558*c_0101_5^19 + 41887274179590439/266831684433239116*c_0101_5^18 + 511652021754120931/266831684433239116*c_0101_5^17 - 299872904201601715/266831684433239116*c_0101_5^16 - 458308368199097011/266831684433239116*c_0101_5^15 - 857062271716295471/133415842216619558*c_0101_5^14 + 393897595778500927/266831684433239116*c_0101_5^13 + 133956003366461661/66707921108309779*c_0101_5^12 + 321348579540036921/266831684433239116*c_0101_5^11 - 152910562272665145/66707921108309779*c_0101_5^10 - 983478230994762851/266831684433239116*c_0101_5^9 + 105561900837796942/66707921108309779*c_0101_5^8 + 1308689239932473849/266831684433239116*c_0101_5^7 + 1285924100136231595/266831684433239116*c_0101_5^6 + 601748232962409829/266831684433239116*c_0101_5^5 - 117780298951387409/266831684433239116*c_0101_5^4 - 105768577826843990/66707921108309779*c_0101_5^3 - 102525673413200035/66707921108309779*c_0101_5^2 - 8069247656658407/266831684433239116*c_0101_5 + 107990430317961477/133415842216619558, c_0011_5 + 1600909654778423355/78982178592238778336*c_0101_5^19 - 165950211658566995/78982178592238778336*c_0101_5^18 - 11436692611679086425/19745544648059694584*c_0101_5^17 - 8910665999146989855/19745544648059694584*c_0101_5^16 + 136838880264053643111/78982178592238778336*c_0101_5^15 + 12673004895996533489/19745544648059694584*c_0101_5^14 + 82690500180049499315/39491089296119389168*c_0101_5^13 - 90102241904804745427/39491089296119389168*c_0101_5^12 + 54989458964209001549/19745544648059694584*c_0101_5^11 + 2646507336460059031/4936386162014923646*c_0101_5^10 - 3144609776450446579/19745544648059694584*c_0101_5^9 + 19812129491649029607/39491089296119389168*c_0101_5^8 - 135952628600721704735/78982178592238778336*c_0101_5^7 - 88976082095769014371/39491089296119389168*c_0101_5^6 - 36503571465038079479/39491089296119389168*c_0101_5^5 - 183334853149579212769/78982178592238778336*c_0101_5^4 - 76788145018295869373/78982178592238778336*c_0101_5^3 - 30504980716415317087/78982178592238778336*c_0101_5^2 - 5350018861290435981/39491089296119389168*c_0101_5 + 64869728139805500481/78982178592238778336, c_0011_6 - 915658347693468973/78982178592238778336*c_0101_5^19 + 1395324868687083319/78982178592238778336*c_0101_5^18 + 3316160997299753551/9872772324029847292*c_0101_5^17 - 319369792797727687/2468193081007461823*c_0101_5^16 - 139385745521436165301/78982178592238778336*c_0101_5^15 - 36022335859218485703/39491089296119389168*c_0101_5^14 + 6418773447614989948/2468193081007461823*c_0101_5^13 + 75641944285815422029/19745544648059694584*c_0101_5^12 + 64669174920636125491/39491089296119389168*c_0101_5^11 - 169779738982951513277/39491089296119389168*c_0101_5^10 + 53493282162166897743/39491089296119389168*c_0101_5^9 + 25326816851142075295/19745544648059694584*c_0101_5^8 + 220728287796869809407/78982178592238778336*c_0101_5^7 + 47929094014340667877/39491089296119389168*c_0101_5^6 - 157750096942736871353/39491089296119389168*c_0101_5^5 - 363436163721949640057/78982178592238778336*c_0101_5^4 - 136109849332375839499/78982178592238778336*c_0101_5^3 - 46076263571937366047/78982178592238778336*c_0101_5^2 + 16736086445285694521/19745544648059694584*c_0101_5 + 29910685296305043919/78982178592238778336, c_0101_1 + 362961461632675843/1067326737732956464*c_0101_5^19 - 848749101910352837/1067326737732956464*c_0101_5^18 - 1021626432195639379/133415842216619558*c_0101_5^17 + 1102859704250977061/133415842216619558*c_0101_5^16 + 5750508080731414811/1067326737732956464*c_0101_5^15 + 10678072593634051503/533663368866478232*c_0101_5^14 - 3671103623484046283/266831684433239116*c_0101_5^13 - 465536045537867219/66707921108309779*c_0101_5^12 + 3794426725400301513/533663368866478232*c_0101_5^11 + 1838992329115218137/533663368866478232*c_0101_5^10 + 5323595006942380609/533663368866478232*c_0101_5^9 - 669026686897634208/66707921108309779*c_0101_5^8 - 20284762699076931581/1067326737732956464*c_0101_5^7 - 3489779477886084371/533663368866478232*c_0101_5^6 - 2897139641328853281/533663368866478232*c_0101_5^5 + 3791772246457551351/1067326737732956464*c_0101_5^4 + 7380520399429787889/1067326737732956464*c_0101_5^3 - 1427964932845947607/1067326737732956464*c_0101_5^2 + 44726304741793275/133415842216619558*c_0101_5 - 1348648107576579669/1067326737732956464, c_0101_4 - 514537813070891327/4936386162014923646*c_0101_5^19 + 5416482628645764807/39491089296119389168*c_0101_5^18 + 50355672135390825421/19745544648059694584*c_0101_5^17 - 673458617763920847/19745544648059694584*c_0101_5^16 - 62984321891595117755/19745544648059694584*c_0101_5^15 - 346189519600478599271/39491089296119389168*c_0101_5^14 - 111551282980445409973/39491089296119389168*c_0101_5^13 + 153256910764100775891/39491089296119389168*c_0101_5^12 + 26260922033385790303/39491089296119389168*c_0101_5^11 - 74932244133188364539/39491089296119389168*c_0101_5^10 - 241586811908217750741/39491089296119389168*c_0101_5^9 + 12011324092409546889/39491089296119389168*c_0101_5^8 + 266273141038238556917/39491089296119389168*c_0101_5^7 + 22474689387615953168/2468193081007461823*c_0101_5^6 + 126833797306319113129/19745544648059694584*c_0101_5^5 + 1592601859245791642/2468193081007461823*c_0101_5^4 - 64431249503292115069/39491089296119389168*c_0101_5^3 - 5857169388437529731/9872772324029847292*c_0101_5^2 - 36864570122051845695/39491089296119389168*c_0101_5 + 21723977361059489701/39491089296119389168, c_0101_5^20 - 2*c_0101_5^19 - 23*c_0101_5^18 + 16*c_0101_5^17 + 17*c_0101_5^16 + 71*c_0101_5^15 - 14*c_0101_5^14 - 16*c_0101_5^13 + 2*c_0101_5^12 + 8*c_0101_5^11 + 40*c_0101_5^10 - 14*c_0101_5^9 - 59*c_0101_5^8 - 49*c_0101_5^7 - 40*c_0101_5^6 - c_0101_5^5 + 20*c_0101_5^4 + 6*c_0101_5^3 + 7*c_0101_5^2 - 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB