Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 4004475638] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s723 geometric_solution 5.23642610 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 0 1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -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 0.499402613771 0.739264648401 3 0 4 3 0132 0132 0132 0321 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 -1 1 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 0.808062108952 1.456349585011 4 4 3 0 1302 1230 3120 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695446982699 0.609123451766 1 1 2 5 0132 0321 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477612248095 0.187678313653 5 2 2 1 0132 2031 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067141157102 0.750528000176 4 5 3 5 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845832867524 1.159830192147 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_2']})} 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_2, c_0011_4, c_0101_1, c_0101_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1201440/221*c_1001_2^9 - 2834951/221*c_1001_2^8 - 1019929/221*c_1001_2^7 - 25598134/221*c_1001_2^6 + 24433790/221*c_1001_2^5 - 35675028/221*c_1001_2^4 - 22436338/221*c_1001_2^3 + 53194979/221*c_1001_2^2 - 24133140/221*c_1001_2 + 3349917/221, c_0011_0 - 1, c_0011_2 - 987*c_1001_2^9 - 2351*c_1001_2^8 - 898*c_1001_2^7 - 21070*c_1001_2^6 + 19588*c_1001_2^5 - 29037*c_1001_2^4 - 18987*c_1001_2^3 + 43085*c_1001_2^2 - 19075*c_1001_2 + 2584, c_0011_4 - 210*c_1001_2^9 - 485*c_1001_2^8 - 149*c_1001_2^7 - 4453*c_1001_2^6 + 4504*c_1001_2^5 - 6351*c_1001_2^4 - 3658*c_1001_2^3 + 9606*c_1001_2^2 - 4554*c_1001_2 + 654, c_0101_1 + 678*c_1001_2^9 + 1590*c_1001_2^8 + 548*c_1001_2^7 + 14425*c_1001_2^6 - 14007*c_1001_2^5 + 20235*c_1001_2^4 + 12416*c_1001_2^3 - 30311*c_1001_2^2 + 13924*c_1001_2 - 1950, c_0101_4 + 444*c_1001_2^9 + 1033*c_1001_2^8 + 336*c_1001_2^7 + 9430*c_1001_2^6 - 9355*c_1001_2^5 + 13343*c_1001_2^4 + 7925*c_1001_2^3 - 20090*c_1001_2^2 + 9384*c_1001_2 - 1332, c_1001_2^10 + 2*c_1001_2^9 + 21*c_1001_2^7 - 28*c_1001_2^6 + 37*c_1001_2^5 + 8*c_1001_2^4 - 51*c_1001_2^3 + 36*c_1001_2^2 - 10*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB