Magma V2.19-8 Tue Aug 20 2013 16:18:37 on localhost [Seed = 4071845825] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2797 geometric_solution 6.02898905 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0321 0132 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 -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 0.244539035440 1.638643701241 0 4 0 3 0132 0132 0321 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232030127847 0.503288356819 5 0 6 6 0132 0132 3012 0132 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 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 0.672499664295 0.343106918220 1 4 0 6 3012 1230 0132 2103 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562481089652 0.490602531418 5 1 3 6 3201 0132 3012 2310 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 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 1.642746363835 1.547709597132 2 5 5 4 0132 1230 3012 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820130811255 0.601965030983 4 2 2 3 3201 1230 0132 2103 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 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 0.845381505776 1.171705739840 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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' : 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_0110_3']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_3']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_3'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_6'])})} 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_6, c_0101_2, c_0101_5, c_0110_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 34*c_0110_6^4 - 86*c_0110_6^3 - 123*c_0110_6^2 + 131*c_0110_6 + 59, c_0011_0 - 1, c_0011_3 - 2*c_0110_6^4 + 5*c_0110_6^3 + 8*c_0110_6^2 - 8*c_0110_6 - 5, c_0011_6 + c_0110_6^4 - 2*c_0110_6^3 - 5*c_0110_6^2 + 3*c_0110_6 + 3, c_0101_2 + 2*c_0110_6^4 - 5*c_0110_6^3 - 7*c_0110_6^2 + 7*c_0110_6 + 4, c_0101_5 - c_0110_6^4 + 2*c_0110_6^3 + 5*c_0110_6^2 - 3*c_0110_6 - 3, c_0110_3 + 1, c_0110_6^5 - 2*c_0110_6^4 - 5*c_0110_6^3 + 2*c_0110_6^2 + 4*c_0110_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_2, c_0101_5, c_0110_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9/10*c_0110_6^9 + 13/10*c_0110_6^8 + 1/10*c_0110_6^7 - 24/5*c_0110_6^6 + 21/5*c_0110_6^5 - 7/10*c_0110_6^4 - 67/10*c_0110_6^3 + 46/5*c_0110_6^2 - 21/2*c_0110_6 + 43/10, c_0011_0 - 1, c_0011_3 - 1/2*c_0110_6^8 + c_0110_6^6 - 2*c_0110_6^5 - 2*c_0110_6^4 + 5/2*c_0110_6^3 - c_0110_6^2 - 3/2*c_0110_6, c_0011_6 + 1/2*c_0110_6^9 - 3/2*c_0110_6^7 + 2*c_0110_6^6 + 7/2*c_0110_6^5 - 4*c_0110_6^4 - c_0110_6^3 + 9/2*c_0110_6^2 + 1/2*c_0110_6 - 1, c_0101_2 + 1/2*c_0110_6^9 - 3/2*c_0110_6^7 + 2*c_0110_6^6 + 3*c_0110_6^5 - 7/2*c_0110_6^4 - c_0110_6^3 + 4*c_0110_6^2 + c_0110_6 - 3/2, c_0101_5 - 1/2*c_0110_6^9 - 1/2*c_0110_6^8 + c_0110_6^7 - 1/2*c_0110_6^6 - 7/2*c_0110_6^5 - 1/2*c_0110_6^4 + 2*c_0110_6^3 - c_0110_6^2 - 2*c_0110_6, c_0110_3 + 1/2*c_0110_6^9 + 1/2*c_0110_6^8 - 3/2*c_0110_6^7 + 1/2*c_0110_6^6 + 5*c_0110_6^5 - c_0110_6^4 - 4*c_0110_6^3 + 3*c_0110_6^2 + 5/2*c_0110_6 - 1, c_0110_6^10 - 3*c_0110_6^8 + 4*c_0110_6^7 + 6*c_0110_6^6 - 8*c_0110_6^5 - c_0110_6^4 + 8*c_0110_6^3 - c_0110_6^2 - 2*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB