Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 1932717934] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s687 geometric_solution 5.18620438 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 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 0.632302904089 0.700576175519 3 2 4 0 0132 3012 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 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 0.947064197589 0.812733868402 1 3 0 4 1230 3201 0132 2310 0 0 0 0 0 -1 0 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 -1 1 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 0.947064197589 0.812733868402 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 -1 1 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 0 1 0 0 -1 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 1.430024442960 0.527222622766 2 4 4 1 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065784383974 0.607097722085 5 3 5 3 2310 0132 3201 1023 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 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 0.752594619615 0.489071763931 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_1']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 13*c_0101_5^2 + 23/2*c_0101_5 - 237/2, c_0011_0 - 1, c_0011_1 + 1/4*c_0101_5^2 - 1/4, c_0011_4 - 1/2*c_0101_5 + 1/2, c_0101_0 + 1/4*c_0101_5^2 - 5/4, c_0101_1 - 1/2*c_0101_5 - 1/2, c_0101_5^3 + c_0101_5^2 - 9*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 9*c_0101_5^2 - 38*c_0101_5 - 36, c_0011_0 - 1, c_0011_1 + c_0101_5^2 + 2*c_0101_5 - 1, c_0011_4 - c_0101_5^2 - 3*c_0101_5, c_0101_0 - c_0101_5^2 - 2*c_0101_5 + 1, c_0101_1 + c_0101_5^2 + 2*c_0101_5, c_0101_5^3 + 4*c_0101_5^2 + 3*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1395849/285736*c_0101_5^9 + 2543725/71434*c_0101_5^8 - 2020515/25976*c_0101_5^7 + 4252660/35717*c_0101_5^6 - 1804889/8404*c_0101_5^5 - 1544831/285736*c_0101_5^4 - 13584379/71434*c_0101_5^3 + 11168567/285736*c_0101_5^2 - 6832173/285736*c_0101_5 + 3360971/142868, c_0011_0 - 1, c_0011_1 + 3849/12988*c_0101_5^9 - 12179/6494*c_0101_5^8 + 34793/12988*c_0101_5^7 - 19103/6494*c_0101_5^6 + 2517/382*c_0101_5^5 + 156579/12988*c_0101_5^4 + 86863/6494*c_0101_5^3 + 121485/12988*c_0101_5^2 + 23899/12988*c_0101_5 + 3222/3247, c_0011_4 + c_0101_5, c_0101_0 + 4705/6494*c_0101_5^9 - 17404/3247*c_0101_5^8 + 78031/6494*c_0101_5^7 - 58801/3247*c_0101_5^6 + 5997/191*c_0101_5^5 + 10683/6494*c_0101_5^4 + 68565/3247*c_0101_5^3 - 29113/6494*c_0101_5^2 + 12963/6494*c_0101_5 - 4134/3247, c_0101_1 + 1125/6494*c_0101_5^9 - 4610/3247*c_0101_5^8 + 25835/6494*c_0101_5^7 - 23504/3247*c_0101_5^6 + 2353/191*c_0101_5^5 - 49301/6494*c_0101_5^4 + 27350/3247*c_0101_5^3 - 28617/6494*c_0101_5^2 + 20525/6494*c_0101_5 - 2348/3247, c_0101_5^10 - 7*c_0101_5^9 + 14*c_0101_5^8 - 21*c_0101_5^7 + 39*c_0101_5^6 + 11*c_0101_5^5 + 45*c_0101_5^4 + 8*c_0101_5^3 + 12*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB