Magma V2.19-8 Tue Aug 20 2013 16:17:23 on localhost [Seed = 3018993534] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1611 geometric_solution 5.36912954 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 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 1 -1 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 1.621836016304 0.325014002421 0 3 5 4 0132 1230 0132 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 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 1.004561621521 0.742876672252 2 0 2 0 2031 0132 1302 1023 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 -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 0.570995304844 0.387150558800 4 5 1 0 0132 0132 3012 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 -1 1 1 0 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 1.004561621521 0.742876672252 3 6 1 6 0132 0132 0132 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 -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 1.098425225083 0.494168749030 5 3 5 1 2031 0132 1302 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 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 0.163041814147 0.919766469759 4 4 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.539478939252 0.324079937698 ==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_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' : d['c_0110_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0110_2']})} 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_0101_0, c_0101_1, c_0101_3, c_0110_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 19*c_0110_6^2 + 10*c_0110_6 - 42, c_0011_0 - 1, c_0011_3 + c_0110_6^2 + c_0110_6, c_0101_0 - c_0110_6 - 1, c_0101_1 - c_0110_6 - 1, c_0101_3 - c_0110_6 - 1, c_0110_2 - c_0110_6^2 - c_0110_6 + 1, c_0110_6^3 + c_0110_6^2 - 2*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_0101_0, c_0101_1, c_0101_3, c_0110_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2630/217*c_0110_6^9 - 4126/217*c_0110_6^8 - 180/217*c_0110_6^7 - 2187/217*c_0110_6^6 - 219/7*c_0110_6^5 - 9662/217*c_0110_6^4 - 10267/217*c_0110_6^3 - 2158/217*c_0110_6^2 - 320/31*c_0110_6 - 5339/217, c_0011_0 - 1, c_0011_3 - 4*c_0110_6^9 + c_0110_6^8 + 2*c_0110_6^7 - 6*c_0110_6^6 - 9*c_0110_6^4 + 4*c_0110_6^3 + c_0110_6^2 - 4*c_0110_6 + 2, c_0101_0 + 6*c_0110_6^9 - 3*c_0110_6^8 - 3*c_0110_6^7 + 10*c_0110_6^6 - 2*c_0110_6^5 + 14*c_0110_6^4 - 10*c_0110_6^3 - c_0110_6^2 + 9*c_0110_6 - 5, c_0101_1 - 4*c_0110_6^9 + c_0110_6^8 + 2*c_0110_6^7 - 6*c_0110_6^6 - 10*c_0110_6^4 + 4*c_0110_6^3 + 2*c_0110_6^2 - 5*c_0110_6 + 2, c_0101_3 + c_0110_6^9 - c_0110_6^8 + 2*c_0110_6^6 - c_0110_6^5 + 3*c_0110_6^4 - 3*c_0110_6^3 + c_0110_6^2 + 2*c_0110_6 - 1, c_0110_2 + 2*c_0110_6^9 + 3*c_0110_6^6 + 6*c_0110_6^4 + c_0110_6^2 + 2*c_0110_6 - 1, c_0110_6^10 + c_0110_6^9 - c_0110_6^8 + c_0110_6^7 + 2*c_0110_6^6 + 2*c_0110_6^5 + 2*c_0110_6^4 - 2*c_0110_6^3 + c_0110_6^2 + c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB