Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 1326371618] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s811 geometric_solution 5.36739875 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -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 0 1 -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 1.665185540279 0.572289344642 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 -1 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649350775418 0.558603052765 4 1 5 3 0132 0132 0132 3201 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291356311069 0.836149228763 5 2 4 1 1023 2310 1023 0132 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 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 0.291356311069 0.836149228763 2 4 3 4 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.511400506336 0.851914644052 5 3 5 2 2031 1023 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 -1 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 0 0 0 0.295981855274 1.370052974058 ==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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 988800740494867/12970943326375*c_0101_4^17 - 5505477582765451/12970943326375*c_0101_4^16 + 24623722060017856/12970943326375*c_0101_4^15 - 53360603855456853/12970943326375*c_0101_4^14 + 58743917371035491/12970943326375*c_0101_4^13 - 27853576278542531/12970943326375*c_0101_4^12 - 61762471504620491/12970943326375*c_0101_4^11 + 689528622461269/63272894275*c_0101_4^10 - 220903902459981937/12970943326375*c_0101_4^9 + 291814190028715513/12970943326375*c_0101_4^8 - 64687101754287127/12970943326375*c_0101_4^7 - 32180015127927118/2594188665275*c_0101_4^6 + 119306280505876776/12970943326375*c_0101_4^5 - 43652372735517104/12970943326375*c_0101_4^4 - 12295197480068356/12970943326375*c_0101_4^3 + 2852710383860917/2594188665275*c_0101_4^2 + 3372374038929122/12970943326375*c_0101_4 + 156625673899439/12970943326375, c_0011_0 - 1, c_0011_3 - 219396303088673/2594188665275*c_0101_4^17 + 1155092587827094/2594188665275*c_0101_4^16 - 5090544958766114/2594188665275*c_0101_4^15 + 10168487123073982/2594188665275*c_0101_4^14 - 9375814951401004/2594188665275*c_0101_4^13 + 2079081550923514/2594188665275*c_0101_4^12 + 15740709590231204/2594188665275*c_0101_4^11 - 133103637039646/12654578855*c_0101_4^10 + 39330806818901578/2594188665275*c_0101_4^9 - 49500071486713822/2594188665275*c_0101_4^8 - 5887973009946237/2594188665275*c_0101_4^7 + 8173656945743047/518837733055*c_0101_4^6 - 15809489164359119/2594188665275*c_0101_4^5 + 1205540274014326/2594188665275*c_0101_4^4 + 5974957382445764/2594188665275*c_0101_4^3 - 485911578281288/518837733055*c_0101_4^2 - 1749983813633143/2594188665275*c_0101_4 - 222148134229041/2594188665275, c_0101_0 - 740467910498/27079213625*c_0101_4^17 + 3614341185019/27079213625*c_0101_4^16 - 15618550032964/27079213625*c_0101_4^15 + 27355756693057/27079213625*c_0101_4^14 - 16821704250654/27079213625*c_0101_4^13 - 8711116629711/27079213625*c_0101_4^12 + 59700512566904/27079213625*c_0101_4^11 - 358043470486/132093725*c_0101_4^10 + 93048851097203/27079213625*c_0101_4^9 - 106447236816222/27079213625*c_0101_4^8 - 98627850709312/27079213625*c_0101_4^7 + 29914715883167/5415842725*c_0101_4^6 - 4093684950319/27079213625*c_0101_4^5 - 28492268872474/27079213625*c_0101_4^4 + 29900720100839/27079213625*c_0101_4^3 - 594791799573/5415842725*c_0101_4^2 - 10226008512343/27079213625*c_0101_4 - 1831095708891/27079213625, c_0101_1 - 1359341524176/27079213625*c_0101_4^17 + 6867163580828/27079213625*c_0101_4^16 - 29932796977418/27079213625*c_0101_4^15 + 55823126366984/27079213625*c_0101_4^14 - 42615682605448/27079213625*c_0101_4^13 - 3928664013432/27079213625*c_0101_4^12 + 105091115888573/27079213625*c_0101_4^11 - 733902923582/132093725*c_0101_4^10 + 202343354129386/27079213625*c_0101_4^9 - 242907750458839/27079213625*c_0101_4^8 - 120076312747294/27079213625*c_0101_4^7 + 53881079107554/5415842725*c_0101_4^6 - 48689065995928/27079213625*c_0101_4^5 - 27632413711038/27079213625*c_0101_4^4 + 48685855045668/27079213625*c_0101_4^3 - 2107646960001/5415842725*c_0101_4^2 - 15347739741816/27079213625*c_0101_4 - 2353010777717/27079213625, c_0101_2 - 6176058279/174296125*c_0101_4^17 + 30611687287/174296125*c_0101_4^16 - 132717792897/174296125*c_0101_4^15 + 238980098611/174296125*c_0101_4^14 - 161923739267/174296125*c_0101_4^13 - 52403819753/174296125*c_0101_4^12 + 493125002392/174296125*c_0101_4^11 - 3149827303/850225*c_0101_4^10 + 834508981994/174296125*c_0101_4^9 - 973140815156/174296125*c_0101_4^8 - 717057486351/174296125*c_0101_4^7 + 251691323016/34859225*c_0101_4^6 - 119919331062/174296125*c_0101_4^5 - 197764667377/174296125*c_0101_4^4 + 245244874022/174296125*c_0101_4^3 - 7639397029/34859225*c_0101_4^2 - 79374390839/174296125*c_0101_4 - 12878201518/174296125, c_0101_4^18 - 6*c_0101_4^17 + 27*c_0101_4^16 - 63*c_0101_4^15 + 75*c_0101_4^14 - 37*c_0101_4^13 - 69*c_0101_4^12 + 179*c_0101_4^11 - 266*c_0101_4^10 + 347*c_0101_4^9 - 123*c_0101_4^8 - 227*c_0101_4^7 + 213*c_0101_4^6 - 46*c_0101_4^5 - 32*c_0101_4^4 + 34*c_0101_4^3 + c_0101_4^2 - 6*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB