Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 3448525097] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0618 geometric_solution 4.62030887 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 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 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 2.833988057404 0.888259589106 0 2 2 0 0132 0132 3201 1023 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 -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 -0.118308374356 0.143920061417 1 1 3 3 2310 0132 0132 2310 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 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 1.310188549658 2.991995212989 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 0 -1 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 -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 0.375146671897 0.247823617520 5 3 5 6 2031 0132 2103 0132 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 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 0.667265019141 0.734503048579 4 6 4 3 2103 2310 1302 0132 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 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 0.667265019141 0.734503048579 6 6 4 5 1230 3012 0132 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 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 1.322392889954 0.745887276854 ==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' : negation(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' : negation(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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0101_6'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0101_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_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 161454809/59796411*c_0101_6^11 - 31113443/59796411*c_0101_6^10 + 3937186573/59796411*c_0101_6^9 - 9858772600/59796411*c_0101_6^8 + 12561594758/59796411*c_0101_6^7 - 10043997370/59796411*c_0101_6^6 - 14722651780/59796411*c_0101_6^5 + 35775148709/59796411*c_0101_6^4 - 37908922268/59796411*c_0101_6^3 + 13045422930/19932137*c_0101_6^2 - 762991351/19932137*c_0101_6 - 2998388324/59796411, c_0011_0 - 1, c_0011_3 - 10793045/179389233*c_0101_6^11 - 34451522/179389233*c_0101_6^10 + 145999993/179389233*c_0101_6^9 - 243335461/179389233*c_0101_6^8 + 393120200/179389233*c_0101_6^7 - 41592304/179389233*c_0101_6^6 - 526329268/179389233*c_0101_6^5 + 819085865/179389233*c_0101_6^4 - 1229319806/179389233*c_0101_6^3 + 61102178/19932137*c_0101_6^2 - 5823184/19932137*c_0101_6 + 71151244/179389233, c_0011_5 - 1256348/179389233*c_0101_2*c_0101_6^11 + 3063964/179389233*c_0101_2*c_0101_6^10 + 34662565/179389233*c_0101_2*c_0101_6^9 - 157569304/179389233*c_0101_2*c_0101_6^8 + 196148654/179389233*c_0101_2*c_0101_6^7 - 207178963/179389233*c_0101_2*c_0101_6^6 - 98726092/179389233*c_0101_2*c_0101_6^5 + 655274972/179389233*c_0101_2*c_0101_6^4 - 549868358/179389233*c_0101_2*c_0101_6^3 + 312653081/59796411*c_0101_2*c_0101_6^2 - 33226012/59796411*c_0101_2*c_0101_6 - 34554038/179389233*c_0101_2, c_0011_6 + 10348387/59796411*c_0101_2*c_0101_6^11 + 35808257/59796411*c_0101_2*c_0101_6^10 - 44555334/19932137*c_0101_2*c_0101_6^9 + 187244036/59796411*c_0101_2*c_0101_6^8 - 271480820/59796411*c_0101_2*c_0101_6^7 - 25148288/19932137*c_0101_2*c_0101_6^6 + 470476478/59796411*c_0101_2*c_0101_6^5 - 598596386/59796411*c_0101_2*c_0101_6^4 + 810453593/59796411*c_0101_2*c_0101_6^3 - 262339693/59796411*c_0101_2*c_0101_6^2 + 2318711/59796411*c_0101_2*c_0101_6 + 2206684/19932137*c_0101_2, c_0101_0 - 11900855/179389233*c_0101_2*c_0101_6^11 - 32664404/179389233*c_0101_2*c_0101_6^10 + 176531182/179389233*c_0101_2*c_0101_6^9 - 365011348/179389233*c_0101_2*c_0101_6^8 + 477656573/179389233*c_0101_2*c_0101_6^7 - 118291306/179389233*c_0101_2*c_0101_6^6 - 596537053/179389233*c_0101_2*c_0101_6^5 + 1360156400/179389233*c_0101_2*c_0101_6^4 - 1350748700/179389233*c_0101_2*c_0101_6^3 + 323109310/59796411*c_0101_2*c_0101_6^2 - 24499958/59796411*c_0101_2*c_0101_6 - 267076502/179389233*c_0101_2, c_0101_2^2 + 1185436/179389233*c_0101_6^11 - 2793359/179389233*c_0101_6^10 - 32870597/179389233*c_0101_6^9 + 132380858/179389233*c_0101_6^8 - 253305859/179389233*c_0101_6^7 + 220631543/179389233*c_0101_6^6 + 139040063/179389233*c_0101_6^5 - 547264000/179389233*c_0101_6^4 + 828159175/179389233*c_0101_6^3 - 174526015/59796411*c_0101_6^2 + 23894339/59796411*c_0101_6 - 109029413/179389233, c_0101_6^12 + 3*c_0101_6^11 - 15*c_0101_6^10 + 22*c_0101_6^9 - 30*c_0101_6^8 - 3*c_0101_6^7 + 57*c_0101_6^6 - 69*c_0101_6^5 + 95*c_0101_6^4 - 34*c_0101_6^3 + c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB