Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 3103335887] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2924 geometric_solution 6.12387077 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 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 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560359231209 0.424763452614 0 3 4 2 0132 0132 0132 2310 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 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 0.219195207714 0.884445204192 1 4 5 0 3201 1023 0132 0132 0 0 0 0 0 0 -1 1 -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 -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 0.219195207714 0.884445204192 5 1 5 5 2310 0132 1302 0321 0 1 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 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 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 0.866647968825 0.859103401848 2 6 6 1 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.080218120219 0.587085676016 3 3 3 2 2031 0321 3201 0132 0 0 0 1 0 0 -1 1 0 0 0 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 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 0.866647968825 0.859103401848 6 4 4 6 3201 0132 1023 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 1.720856890792 0.684810305775 ==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' : negation(d['c_0011_2']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : 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' : d['c_0011_5'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1119640497/20712721*c_0101_6^9 + 3075830779/20712721*c_0101_6^8 + 13051839794/20712721*c_0101_6^7 - 14491249051/20712721*c_0101_6^6 - 27833105150/20712721*c_0101_6^5 - 74839769349/20712721*c_0101_6^4 - 41086893438/20712721*c_0101_6^3 - 17515283623/20712721*c_0101_6^2 - 14517291662/20712721*c_0101_6 - 2071894906/20712721, c_0011_0 - 1, c_0011_2 + 3114905/20712721*c_0101_6^9 - 10587705/20712721*c_0101_6^8 - 29942091/20712721*c_0101_6^7 + 60863757/20712721*c_0101_6^6 + 44943303/20712721*c_0101_6^5 + 178861541/20712721*c_0101_6^4 - 22639904/20712721*c_0101_6^3 + 7594556/20712721*c_0101_6^2 + 4518506/20712721*c_0101_6 - 10629950/20712721, c_0011_5 + 1, c_0101_0 + 1024289/20712721*c_0101_6^9 - 1996295/20712721*c_0101_6^8 - 14761488/20712721*c_0101_6^7 + 5197335/20712721*c_0101_6^6 + 43017091/20712721*c_0101_6^5 + 83506911/20712721*c_0101_6^4 + 75306460/20712721*c_0101_6^3 - 8845810/20712721*c_0101_6^2 + 12669463/20712721*c_0101_6 + 11625982/20712721, c_0101_1 - 1525802/20712721*c_0101_6^9 + 5542022/20712721*c_0101_6^8 + 14564388/20712721*c_0101_6^7 - 37744037/20712721*c_0101_6^6 - 22925400/20712721*c_0101_6^5 - 53113447/20712721*c_0101_6^4 + 26878816/20712721*c_0101_6^3 + 41503403/20712721*c_0101_6^2 - 24234015/20712721*c_0101_6 + 8646079/20712721, c_0101_4 - 1024289/20712721*c_0101_6^9 + 1996295/20712721*c_0101_6^8 + 14761488/20712721*c_0101_6^7 - 5197335/20712721*c_0101_6^6 - 43017091/20712721*c_0101_6^5 - 83506911/20712721*c_0101_6^4 - 75306460/20712721*c_0101_6^3 + 8845810/20712721*c_0101_6^2 - 12669463/20712721*c_0101_6 + 9086739/20712721, c_0101_6^10 - 3*c_0101_6^9 - 11*c_0101_6^8 + 16*c_0101_6^7 + 22*c_0101_6^6 + 60*c_0101_6^5 + 19*c_0101_6^4 + 4*c_0101_6^3 + 8*c_0101_6^2 - 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB