Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 644332064] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s612 geometric_solution 5.09341260 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 1 -1 0 0 1 -1 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 -1 1 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398287104324 0.462329188011 0 3 2 4 0132 0132 1230 0132 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 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 0.546433291008 0.858991584209 3 0 4 1 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546433291008 0.858991584209 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.171387855825 1.245677392232 5 5 1 2 0132 2310 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 -1 0 1 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 0.390077764332 1.769673985014 4 5 5 4 0132 3201 2310 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 1 0 -1 1 0 -1 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 -0.579056890791 0.465319475982 ==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_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : d['c_0101_2'], '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), '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_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), '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_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1366490971530/10913272063*c_0110_2^13 + 1654981044627/10913272063*c_0110_2^12 + 603268298803/10913272063*c_0110_2^11 - 8714356784905/10913272063*c_0110_2^10 - 21861810177500/10913272063*c_0110_2^9 + 177654782949/10913272063*c_0110_2^8 + 10605716761404/10913272063*c_0110_2^7 - 12546222407094/10913272063*c_0110_2^6 - 11090414184735/10913272063*c_0110_2^5 + 4308592420371/10913272063*c_0110_2^4 + 6740580993908/10913272063*c_0110_2^3 + 1315802533127/10913272063*c_0110_2^2 - 1184969898958/10913272063*c_0110_2 - 342113038221/10913272063, c_0011_0 - 1, c_0011_4 + 153324761022/10913272063*c_0110_2^13 + 158899677180/10913272063*c_0110_2^12 + 39798773408/10913272063*c_0110_2^11 - 985825160296/10913272063*c_0110_2^10 - 2285202936077/10913272063*c_0110_2^9 + 418930218852/10913272063*c_0110_2^8 + 1121526687445/10913272063*c_0110_2^7 - 1567329231562/10913272063*c_0110_2^6 - 941143073717/10913272063*c_0110_2^5 + 624863962283/10913272063*c_0110_2^4 + 684841438137/10913272063*c_0110_2^3 + 36680857580/10913272063*c_0110_2^2 - 130397936192/10913272063*c_0110_2 - 14225945834/10913272063, c_0101_0 - 90819588186/10913272063*c_0110_2^13 - 31633317372/10913272063*c_0110_2^12 - 14388334702/10913272063*c_0110_2^11 + 587588137508/10913272063*c_0110_2^10 + 937715616409/10913272063*c_0110_2^9 - 813208138142/10913272063*c_0110_2^8 + 34555014249/10913272063*c_0110_2^7 + 870763472747/10913272063*c_0110_2^6 + 25444504982/10913272063*c_0110_2^5 - 355802505800/10913272063*c_0110_2^4 - 108477499241/10913272063*c_0110_2^3 + 49357263970/10913272063*c_0110_2^2 + 13572516289/10913272063*c_0110_2 - 11789023551/10913272063, c_0101_1 - 25018962849/10913272063*c_0110_2^13 - 146976384768/10913272063*c_0110_2^12 - 43129598639/10913272063*c_0110_2^11 + 149307469462/10913272063*c_0110_2^10 + 1170857714670/10913272063*c_0110_2^9 + 1154617518608/10913272063*c_0110_2^8 - 1358098457315/10913272063*c_0110_2^7 + 217681369929/10913272063*c_0110_2^6 + 1213391679836/10913272063*c_0110_2^5 - 51448461804/10913272063*c_0110_2^4 - 622901280954/10913272063*c_0110_2^3 - 256948983713/10913272063*c_0110_2^2 + 106828942102/10913272063*c_0110_2 + 52773882627/10913272063, c_0101_2 - 5817642075/294953299*c_0110_2^13 - 1432132173/294953299*c_0110_2^12 + 26909934/294953299*c_0110_2^11 + 38427658336/294953299*c_0110_2^10 + 56699359097/294953299*c_0110_2^9 - 62930341673/294953299*c_0110_2^8 - 2875278343/294953299*c_0110_2^7 + 56254064377/294953299*c_0110_2^6 - 2256064287/294953299*c_0110_2^5 - 28271785885/294953299*c_0110_2^4 - 9291925235/294953299*c_0110_2^3 + 5959622336/294953299*c_0110_2^2 + 2475908810/294953299*c_0110_2 - 270903067/294953299, c_0110_2^14 + 1/3*c_0110_2^13 - 2/9*c_0110_2^12 - 20/3*c_0110_2^11 - 31/3*c_0110_2^10 + 104/9*c_0110_2^9 + 34/9*c_0110_2^8 - 109/9*c_0110_2^7 - 5/9*c_0110_2^6 + 7*c_0110_2^5 + 19/9*c_0110_2^4 - 2*c_0110_2^3 - c_0110_2^2 + 2/9*c_0110_2 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB