Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 3970789508] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s845 geometric_solution 5.43237419 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656415019049 0.968505703526 0 0 5 4 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347677309305 0.310686510335 4 5 4 0 0132 3012 1230 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 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 0.708817257472 0.486300192489 3 3 0 4 1302 2031 0132 2031 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 0 -1 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202763804494 0.770792928766 2 3 1 2 0132 1302 0132 3012 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 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 0 0 0 0 1.005641442797 0.994292084503 2 5 5 1 1230 1230 3012 0132 0 0 0 0 0 0 -1 1 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 0.400789681847 1.429063846680 ==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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 8060107975/986447608*c_0101_5^12 + 1271728252/123305951*c_0101_5^11 + 8896302577/123305951*c_0101_5^10 + 35239310183/493223804*c_0101_5^9 + 14373238253/246611902*c_0101_5^8 - 18539736475/493223804*c_0101_5^7 + 65161883313/986447608*c_0101_5^6 + 323562520687/986447608*c_0101_5^5 + 34931503303/246611902*c_0101_5^4 - 560085099635/986447608*c_0101_5^3 - 253912282387/986447608*c_0101_5^2 + 20903636762/123305951*c_0101_5 + 11346207685/123305951, c_0011_0 - 1, c_0011_2 - 477356459/369917853*c_0101_5^12 + 1291831417/739835706*c_0101_5^11 + 1398116323/123305951*c_0101_5^10 + 3747226084/369917853*c_0101_5^9 + 2752683325/369917853*c_0101_5^8 - 2833049752/369917853*c_0101_5^7 + 1206592364/123305951*c_0101_5^6 + 37446568469/739835706*c_0101_5^5 + 3949563345/246611902*c_0101_5^4 - 35373651866/369917853*c_0101_5^3 - 26206846489/739835706*c_0101_5^2 + 25346123035/739835706*c_0101_5 + 4699536367/369917853, c_0011_5 + 136987624/369917853*c_0101_5^12 - 372359747/739835706*c_0101_5^11 - 399680285/123305951*c_0101_5^10 - 1075346366/369917853*c_0101_5^9 - 802863326/369917853*c_0101_5^8 + 797068211/369917853*c_0101_5^7 - 366801236/123305951*c_0101_5^6 - 10763998357/739835706*c_0101_5^5 - 1185997965/246611902*c_0101_5^4 + 9937041076/369917853*c_0101_5^3 + 7328679749/739835706*c_0101_5^2 - 6948401897/739835706*c_0101_5 - 1277491685/369917853, c_0101_0 + 1711022341/1479671412*c_0101_5^12 - 1030284671/739835706*c_0101_5^11 - 1293926839/123305951*c_0101_5^10 - 7701638569/739835706*c_0101_5^9 - 2671879718/369917853*c_0101_5^8 + 4655471707/739835706*c_0101_5^7 - 3559106529/493223804*c_0101_5^6 - 69963275471/1479671412*c_0101_5^5 - 4901804575/246611902*c_0101_5^4 + 128855506705/1479671412*c_0101_5^\ 3 + 65814973999/1479671412*c_0101_5^2 - 23897391785/739835706*c_0101_5 - 5776815887/369917853, c_0101_2 - 475833503/1479671412*c_0101_5^12 + 279290077/739835706*c_0101_5^11 + 363089117/123305951*c_0101_5^10 + 2196271919/739835706*c_0101_5^9 + 731364880/369917853*c_0101_5^8 - 1393183793/739835706*c_0101_5^7 + 871362303/493223804*c_0101_5^6 + 19533933697/1479671412*c_0101_5^5 + 1434039809/246611902*c_0101_5^4 - 36343871171/1479671412*c_0101_5^3 - 21035928269/1479671412*c_0101_5^2 + 6860615707/739835706*c_0101_5 + 1957964215/369917853, c_0101_5^13 - 2*c_0101_5^12 - 8*c_0101_5^11 - 2*c_0101_5^10 + 10*c_0101_5^8 - 11*c_0101_5^7 - 35*c_0101_5^6 + 14*c_0101_5^5 + 85*c_0101_5^4 - 21*c_0101_5^3 - 50*c_0101_5^2 + 8*c_0101_5 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB