Magma V2.19-8 Wed Aug 21 2013 00:26:26 on localhost [Seed = 998058110] Type ? for help. Type -D to quit. Loading file "K14n1468__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n1468 geometric_solution 11.48324249 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 0 -1 1 0 0 -1 1 1 2 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549325597572 1.219241188176 0 5 5 6 0132 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484713784648 0.703686400767 4 0 7 5 0213 0132 0132 0132 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 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614402755236 0.926355945225 8 6 9 0 0132 0132 0132 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 -1 0 1 -1 0 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 0.055179360981 0.857052815135 2 8 0 9 0213 1302 0132 0132 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 -1 0 1 0 -1 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.406346917896 0.331620233262 1 1 2 10 2031 0132 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336119467399 0.963792896594 11 3 1 12 0132 0132 0132 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 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 0.499263231934 0.432529123045 8 12 11 2 1023 1023 1023 0132 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 0 0 0 0 3 -1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156848723566 0.451761639038 3 7 10 4 0132 1023 3012 2031 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 1 0 0 -1 0 -3 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657071462295 0.987715773161 12 10 4 3 3120 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644505135198 1.529890493183 9 8 5 11 1023 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.208375699218 0.748309429724 6 12 7 10 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.314142924590 1.975431546321 7 11 6 9 1023 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.855806796011 0.991254415428 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : d['c_0101_0'], 's_0_10' : 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_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1100_10']), 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['c_0101_5'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0101_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_4, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0110_10, c_1001_0, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 9/4*c_1100_0*c_1100_10 + 47/8*c_1100_0 - 17/4*c_1100_10 - 89/8, c_0011_0 - 1, c_0011_10 - c_1100_0*c_1100_10 - c_1100_0 + 1, c_0011_11 + c_1100_0*c_1100_10 + c_1100_0 - c_1100_10 - 2, c_0011_4 + c_1100_0 - 2, c_0101_0 + c_1100_0 - c_1100_10 - 3, c_0101_10 + c_1100_0*c_1100_10 + c_1100_0 - c_1100_10 - 2, c_0101_11 + c_1100_0 - 2, c_0101_3 + c_1100_0 - c_1100_10 - 3, c_0101_5 + c_1100_0*c_1100_10 + c_1100_0 - c_1100_10 - 3, c_0110_10 + c_1100_0*c_1100_10 + c_1100_0 - c_1100_10 - 2, c_1001_0 - c_1100_10 - 2, c_1100_0^2 - 2*c_1100_0*c_1100_10 - 5*c_1100_0 + 2*c_1100_10 + 6, c_1100_10^2 + 3*c_1100_10 + 1 ], 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_4, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0110_10, c_1001_0, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 91770966216474977565/650861435846625256*c_1100_10^10 - 1702667367853585469/650861435846625256*c_1100_10^9 + 229441214299761116723/325430717923312628*c_1100_10^8 - 1059622366746992317167/325430717923312628*c_1100_10^7 - 35476338832040486213/38285966814507368*c_1100_10^6 - 10083516872121403842467/650861435846625256*c_1100_10^5 + 13769182676482720174707/650861435846625256*c_1100_10^4 + 11604825508045185517/4281983130569903*c_1100_10^3 + 32378405515371598376201/325430717923312628*c_1100_10^2 + 19355361022099747578243/650861435846625256*c_1100_10 + 1240187295509444697597/162715358961656314, c_0011_0 - 1, c_0011_10 - 153950537137/3947983708805*c_1100_10^10 - 17216512067/3947983708805*c_1100_10^9 - 755805174097/3947983708805*c_1100_10^8 + 3433206388424/3947983708805*c_1100_10^7 + 1529407079623/3947983708805*c_1100_10^6 + 16643504616018/3947983708805*c_1100_10^5 - 20647913774918/3947983708805*c_1100_10^4 - 6956958465292/3947983708805*c_1100_10^3 - 105148394051129/3947983708805*c_1100_10^2 - 48047614322552/3947983708805*c_1100_10 - 5345334185543/3947983708805, c_0011_11 + 224827976477/3947983708805*c_1100_10^10 - 10565236513/3947983708805*c_1100_10^9 + 1117745207087/3947983708805*c_1100_10^8 - 5228344332884/3947983708805*c_1100_10^7 - 1386063163623/3947983708805*c_1100_10^6 - 24664591319823/3947983708805*c_1100_10^5 + 34478963383928/3947983708805*c_1100_10^4 + 4104358510332/3947983708805*c_1100_10^3 + 158681562253404/3947983708805*c_1100_10^2 + 45419235164802/3947983708805*c_1100_10 + 8906044878923/3947983708805, c_0011_4 + 87534924436/3947983708805*c_1100_10^10 + 8412001111/3947983708805*c_1100_10^9 + 425823066876/3947983708805*c_1100_10^8 - 1935185211327/3947983708805*c_1100_10^7 - 835431314739/3947983708805*c_1100_10^6 - 9329135561724/3947983708805*c_1100_10^5 + 11757850136984/3947983708805*c_1100_10^4 + 3662520884476/3947983708805*c_1100_10^3 + 58870657426392/3947983708805*c_1100_10^2 + 26086694274146/3947983708805*c_1100_10 + 2583703665484/3947983708805, c_0101_0 + 66415612701/3947983708805*c_1100_10^10 + 8804510956/3947983708805*c_1100_10^9 + 329982107221/3947983708805*c_1100_10^8 - 1498021177097/3947983708805*c_1100_10^7 - 693975764884/3947983708805*c_1100_10^6 - 7314369054294/3947983708805*c_1100_10^5 + 8890063637934/3947983708805*c_1100_10^4 + 3294437580816/3947983708805*c_1100_10^3 + 46277736624737/3947983708805*c_1100_10^2 + 21960920048406/3947983708805*c_1100_10 + 2761630520059/3947983708805, c_0101_10 + 15681828602/3947983708805*c_1100_10^10 - 10148327598/3947983708805*c_1100_10^9 + 89058726002/3947983708805*c_1100_10^8 - 448690181444/3947983708805*c_1100_10^7 + 142245997232/3947983708805*c_1100_10^6 - 1966521827803/3947983708805*c_1100_10^5 + 4113734628768/3947983708805*c_1100_10^4 - 1328432051273/3947983708805*c_1100_10^3 + 13676274265979/3947983708805*c_1100_10^2 - 6584939404483/3947983708805*c_1100_10 - 818947151572/3947983708805, c_0101_11 + 116536730231/3947983708805*c_1100_10^10 + 18740034241/3947983708805*c_1100_10^9 + 551755095136/3947983708805*c_1100_10^8 - 2572852378032/3947983708805*c_1100_10^7 - 1332272260299/3947983708805*c_1100_10^6 - 12387660749099/3947983708805*c_1100_10^5 + 15334505682509/3947983708805*c_1100_10^4 + 6774239287596/3947983708805*c_1100_10^3 + 80744081992922/3947983708805*c_1100_10^2 + 38313815274251/3947983708805*c_1100_10 + 5982278242134/3947983708805, c_0101_3 + 66415612701/3947983708805*c_1100_10^10 + 8804510956/3947983708805*c_1100_10^9 + 329982107221/3947983708805*c_1100_10^8 - 1498021177097/3947983708805*c_1100_10^7 - 693975764884/3947983708805*c_1100_10^6 - 7314369054294/3947983708805*c_1100_10^5 + 8890063637934/3947983708805*c_1100_10^4 + 3294437580816/3947983708805*c_1100_10^3 + 46277736624737/3947983708805*c_1100_10^2 + 21960920048406/3947983708805*c_1100_10 + 2761630520059/3947983708805, c_0101_5 + 62436577127/3947983708805*c_1100_10^10 - 32849335818/3947983708805*c_1100_10^9 + 302284547092/3947983708805*c_1100_10^8 - 1574143085904/3947983708805*c_1100_10^7 + 266167758697/3947983708805*c_1100_10^6 - 6318333527143/3947983708805*c_1100_10^5 + 12351248033048/3947983708805*c_1100_10^4 - 2943464995358/3947983708805*c_1100_10^3 + 40658871491349/3947983708805*c_1100_10^2 - 4952018700528/3947983708805*c_1100_10 - 2484492520257/3947983708805, c_0110_10 + 119930166597/3947983708805*c_1100_10^10 + 3953813992/3947983708805*c_1100_10^9 + 568988551517/3947983708805*c_1100_10^8 - 2734991069039/3947983708805*c_1100_10^7 - 1014353409103/3947983708805*c_1100_10^6 - 12599319969363/3947983708805*c_1100_10^5 + 17228024588688/3947983708805*c_1100_10^4 + 5045308638732/3947983708805*c_1100_10^3 + 80533688428724/3947983708805*c_1100_10^2 + 31578559624667/3947983708805*c_1100_10 + 2454265876448/3947983708805, c_1001_0 + 3209095469/789596741761*c_1100_10^10 - 3462374224/789596741761*c_1100_10^9 + 11788231026/789596741761*c_1100_10^8 - 91352359773/789596741761*c_1100_10^7 + 51283636549/789596741761*c_1100_10^6 - 240643138591/789596741761*c_1100_10^5 + 893445430840/789596741761*c_1100_10^4 - 406196606768/789596741761*c_1100_10^3 + 1577160071687/789596741761*c_1100_10^2 - 1999810792772/789596741761*c_1100_10 - 596516453821/789596741761, c_1100_0 + 64534542884/3947983708805*c_1100_10^10 - 28587801546/3947983708805*c_1100_10^9 + 305452160099/3947983708805*c_1100_10^8 - 1619334831248/3947983708805*c_1100_10^7 + 279636547454/3947983708805*c_1100_10^6 - 6499546357736/3947983708805*c_1100_10^5 + 12899026754181/3947983708805*c_1100_10^4 - 3566611544636/3947983708805*c_1100_10^3 + 41104376178373/3947983708805*c_1100_10^2 - 8207613483801/3947983708805*c_1100_10 - 1536307592624/3947983708805, c_1100_10^11 + 5*c_1100_10^9 - 23*c_1100_10^8 - 7*c_1100_10^7 - 110*c_1100_10^6 + 148*c_1100_10^5 + 22*c_1100_10^4 + 706*c_1100_10^3 + 224*c_1100_10^2 + 58*c_1100_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.470 Total time: 4.690 seconds, Total memory usage: 82.50MB