Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 4038159596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s676 geometric_solution 5.17628756 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.665443501249 1.124387883063 0 3 3 0 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.389817737807 0.658668001372 0 4 5 0 3201 0132 0132 0132 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 0 0 0 0 0 -1 1 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 0.588873190035 0.540226012406 1 1 4 5 2310 0132 1302 1302 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 -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 0.077891261175 0.845932766868 3 2 4 4 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378863964953 0.680956118416 5 5 3 2 1230 3012 2031 0132 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 -1 0 1 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378863964953 0.680956118416 ==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' : d['c_0011_2'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : negation(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_2']), '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0110_4'], '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_2, c_0011_5, c_0101_0, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 16/3*c_0110_4^2 - 5/3*c_0110_4 - 47/3, c_0011_0 - 1, c_0011_2 - c_0110_4^2 + 1, c_0011_5 + c_0110_4, c_0101_0 + 1, c_0101_4 + c_0110_4 + 1, c_0110_4^3 - 3*c_0110_4 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2*c_0110_4^7 - 17/4*c_0110_4^6 - 39/4*c_0110_4^5 - 5/4*c_0110_4^4 + 1/2*c_0110_4^3 + 13/2*c_0110_4^2 - 49/4*c_0110_4 - 5/2, c_0011_0 - 1, c_0011_2 - 1/8*c_0110_4^7 - 1/8*c_0110_4^6 - 1/2*c_0110_4^5 + 3/8*c_0110_4^4 - 5/8*c_0110_4^3 + 7/8*c_0110_4^2 - 3/4*c_0110_4 + 7/8, c_0011_5 - 1/8*c_0110_4^7 - 1/8*c_0110_4^6 - 1/2*c_0110_4^5 + 3/8*c_0110_4^4 - 5/8*c_0110_4^3 + 7/8*c_0110_4^2 - 7/4*c_0110_4 + 7/8, c_0101_0 + 1, c_0101_4 - 3/8*c_0110_4^7 - 5/8*c_0110_4^6 - 3/2*c_0110_4^5 + 1/8*c_0110_4^4 - 1/8*c_0110_4^3 + 5/8*c_0110_4^2 - 3/2*c_0110_4 + 3/8, c_0110_4^8 + 2*c_0110_4^7 + 5*c_0110_4^6 + c_0110_4^5 + 2*c_0110_4^4 - 2*c_0110_4^3 + 7*c_0110_4^2 - c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB