Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 2311591393] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s850 geometric_solution 5.46892046 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 1023 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 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961606556549 0.597333770244 0 4 3 5 0132 0132 3012 0132 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 1 -1 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636314631384 0.870118094732 5 0 3 0 0321 0132 3201 1023 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 -1 1 0 -1 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961606556549 0.597333770244 2 1 5 0 2310 1230 0213 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 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 0.937081423797 0.491270497977 4 1 5 4 3201 0132 1230 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 0 1 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 -0.061871898533 0.817140603062 2 3 1 4 0321 0213 0132 3012 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 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 0.408923538511 0.978350521975 ==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' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : 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_0'], '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_1001_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 26342/36225*c_1001_3^7 - 31846/12075*c_1001_3^6 - 11/12075*c_1001_3^5 - 143614/12075*c_1001_3^4 - 12149/4025*c_1001_3^3 - 677863/36225*c_1001_3^2 - 3005/1449*c_1001_3 - 236134/36225, c_0011_0 - 1, c_0011_3 - 162/805*c_1001_3^7 + 443/805*c_1001_3^6 + 698/805*c_1001_3^5 + 2337/805*c_1001_3^4 + 1646/805*c_1001_3^3 + 2048/805*c_1001_3^2 + 129/161*c_1001_3 - 116/805, c_0011_5 + 111/4025*c_1001_3^7 - 229/4025*c_1001_3^6 - 1164/4025*c_1001_3^5 - 36/4025*c_1001_3^4 - 1903/4025*c_1001_3^3 + 3546/4025*c_1001_3^2 + 2/161*c_1001_3 + 1928/4025, c_0101_0 - 612/4025*c_1001_3^7 + 2568/4025*c_1001_3^6 - 762/4025*c_1001_3^5 + 7487/4025*c_1001_3^4 - 1474/4025*c_1001_3^3 + 9168/4025*c_1001_3^2 - 85/161*c_1001_3 + 2424/4025, c_0101_1 + 111/4025*c_1001_3^7 - 229/4025*c_1001_3^6 - 1164/4025*c_1001_3^5 - 36/4025*c_1001_3^4 - 1903/4025*c_1001_3^3 + 3546/4025*c_1001_3^2 + 2/161*c_1001_3 + 1928/4025, c_1001_3^8 - 3*c_1001_3^7 - 3*c_1001_3^6 - 15*c_1001_3^5 - 9*c_1001_3^4 - 17*c_1001_3^3 - 4*c_1001_3^2 - 2*c_1001_3 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB