Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 1899031927] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s641 geometric_solution 5.13399608 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 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 1 0 -1 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 0.377119977254 0.697789256578 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800536961133 1.031132367020 3 0 4 1 3201 0132 2310 3012 0 0 0 0 0 0 0 0 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 -1 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 0.800536961133 1.031132367020 3 1 3 2 2310 0132 3201 2310 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 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 -0.105108698419 0.853692087893 5 2 1 5 0132 3201 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825374259111 0.554065200927 4 5 5 4 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.612036559853 0.458031216382 ==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_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 101308436254351440/1359752096893429*c_0101_5^13 - 252306805568400567/1359752096893429*c_0101_5^12 + 527013078624691533/1359752096893429*c_0101_5^11 - 33380196640047355/1359752096893429*c_0101_5^10 - 1501607852710958198/1359752096893429*c_0101_5^9 + 4820347505081798723/1359752096893429*c_0101_5^8 + 1714330941546626480/1359752096893429*c_0101_5^7 - 5601817262689130919/1359752096893429*c_0101_5^6 + 155125546840174685/1359752096893429*c_0101_5^5 + 1936632090978253667/1359752096893429*c_0101_5^4 - 405836398714047910/1359752096893429*c_0101_5^3 - 297117488993617623/1359752096893429*c_0101_5^2 + 149413920221407985/1359752096893429*c_0101_5 - 24811212962338010/1359752096893429, c_0011_0 - 1, c_0011_4 - 358183467455008986/42152315003696299*c_0101_5^13 - 862742271696456177/42152315003696299*c_0101_5^12 + 1909203650342753718/42152315003696299*c_0101_5^11 - 343042647357976447/42152315003696299*c_0101_5^10 - 5171255681676508301/42152315003696299*c_0101_5^9 + 17497750235144540345/42152315003696299*c_0101_5^8 + 4271749108971672177/42152315003696299*c_0101_5^7 - 19100742221407029558/42152315003696299*c_0101_5^6 + 2867291894857948902/42152315003696299*c_0101_5^5 + 5434280023662570569/42152315003696299*c_0101_5^4 - 2363404068474130267/42152315003696299*c_0101_5^3 - 495743629336077075/42152315003696299*c_0101_5^2 + 758561774215736891/42152315003696299*c_0101_5 - 205979642252684171/42152315003696299, c_0101_0 + 265220183793309975/42152315003696299*c_0101_5^13 + 620507489527759812/42152315003696299*c_0101_5^12 - 1457225966624113544/42152315003696299*c_0101_5^11 + 352723181115593132/42152315003696299*c_0101_5^10 + 3811234964318003378/42152315003696299*c_0101_5^9 - 13209237229415650708/42152315003696299*c_0101_5^8 - 2273393920107504197/42152315003696299*c_0101_5^7 + 14339344708919256814/42152315003696299*c_0101_5^6 - 3052291532664681632/42152315003696299*c_0101_5^5 - 3999790518640830306/42152315003696299*c_0101_5^4 + 1965992088353740709/42152315003696299*c_0101_5^3 + 271072287145676703/42152315003696299*c_0101_5^2 - 625709151824944683/42152315003696299*c_0101_5 + 186366933699413025/42152315003696299, c_0101_1 + 753943258855023651/42152315003696299*c_0101_5^13 + 2032787734831216413/42152315003696299*c_0101_5^12 - 3367506895517293122/42152315003696299*c_0101_5^11 - 57485392672001723/42152315003696299*c_0101_5^10 + 10597803314487975804/42152315003696299*c_0101_5^9 - 33826109288162509372/42152315003696299*c_0101_5^8 - 17803626689198526136/42152315003696299*c_0101_5^7 + 32246506399780601746/42152315003696299*c_0101_5^6 + 1283387815910700373/42152315003696299*c_0101_5^5 - 8598951056913614670/42152315003696299*c_0101_5^4 + 3152440314415474268/42152315003696299*c_0101_5^3 + 1320165226462933646/42152315003696299*c_0101_5^2 - 1144074329777856368/42152315003696299*c_0101_5 + 223364534536241100/42152315003696299, c_0101_2 + 21596642157305421/42152315003696299*c_0101_5^13 + 18333452631935460/42152315003696299*c_0101_5^12 - 225633590967546487/42152315003696299*c_0101_5^11 + 110012801835614871/42152315003696299*c_0101_5^10 + 377858704626487856/42152315003696299*c_0101_5^9 - 1503244318360452964/42152315003696299*c_0101_5^8 + 977278191220403724/42152315003696299*c_0101_5^7 + 2733115319147936519/42152315003696299*c_0101_5^6 - 828445875268996583/42152315003696299*c_0101_5^5 - 962290782437652499/42152315003696299*c_0101_5^4 + 396851747865015116/42152315003696299*c_0101_5^3 + 103476209089353594/42152315003696299*c_0101_5^2 - 171099944636508258/42152315003696299*c_0101_5 + 13578209483410986/42152315003696299, c_0101_5^14 + 7/3*c_0101_5^13 - 49/9*c_0101_5^12 + 14/9*c_0101_5^11 + 127/9*c_0101_5^10 - 50*c_0101_5^9 - 22/3*c_0101_5^8 + 463/9*c_0101_5^7 - 128/9*c_0101_5^6 - 37/3*c_0101_5^5 + 77/9*c_0101_5^4 + 1/3*c_0101_5^3 - 20/9*c_0101_5^2 + 8/9*c_0101_5 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB