Magma V2.19-8 Tue Aug 20 2013 16:17:46 on localhost [Seed = 1275973807] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1997 geometric_solution 5.55920921 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 1 0 -1 -1 0 1 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 1.170864413976 1.047242313225 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821526560183 0.924418575164 4 3 0 1 2310 3201 0132 3012 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821526560183 0.924418575164 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714827553222 0.428528249986 6 1 2 6 0132 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379323541284 0.558541785173 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587289530717 0.121888411618 4 6 6 4 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.425324048456 0.662071417713 ==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' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 19/3*c_0101_6^2 + 7/3*c_0101_6 + 18, c_0011_0 - 1, c_0011_1 + c_0101_6 + 1, c_0101_0 + c_0101_6, c_0101_1 + c_0101_6^2 - 1, c_0101_4 - c_0101_6^2 + 1, c_0101_6^3 - 3*c_0101_6 - 1, c_0110_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 19/3*c_0101_6^2 + 7/3*c_0101_6 + 18, c_0011_0 - 1, c_0011_1 - c_0101_6 - 1, c_0101_0 - c_0101_6, c_0101_1 - c_0101_6^2 + 1, c_0101_4 - c_0101_6^2 + 1, c_0101_6^3 - 3*c_0101_6 - 1, c_0110_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 35725555/7809093*c_0110_5^14 - 27591173/7809093*c_0110_5^12 + 1569861592/7809093*c_0110_5^10 + 3037706216/7809093*c_0110_5^8 - 730628165/867677*c_0110_5^6 - 1453231838/7809093*c_0110_5^4 + 1454948524/7809093*c_0110_5^2 - 314014042/7809093, c_0011_0 - 1, c_0011_1 - 887383/867677*c_0110_5^15 - 220703/867677*c_0110_5^13 + 39012657/867677*c_0110_5^11 + 54959533/867677*c_0110_5^9 - 187894600/867677*c_0110_5^7 + 70129597/867677*c_0110_5^5 - 17532529/867677*c_0110_5^3 + 1664162/867677*c_0110_5, c_0101_0 - 84401/867677*c_0110_5^15 + 98220/867677*c_0110_5^13 + 3735013/867677*c_0110_5^11 - 20292/867677*c_0110_5^9 - 25013167/867677*c_0110_5^7 + 32364240/867677*c_0110_5^5 - 12066623/867677*c_0110_5^3 + 3839644/867677*c_0110_5, c_0101_1 - 981718/867677*c_0110_5^15 - 367244/867677*c_0110_5^13 + 43123008/867677*c_0110_5^11 + 66217877/867677*c_0110_5^9 - 199962794/867677*c_0110_5^7 + 51661201/867677*c_0110_5^5 - 11806148/867677*c_0110_5^3 + 742587/867677*c_0110_5, c_0101_4 - 299436/867677*c_0110_5^14 - 115924/867677*c_0110_5^12 + 13159398/867677*c_0110_5^10 + 20400101/867677*c_0110_5^8 - 61094965/867677*c_0110_5^6 + 13489628/867677*c_0110_5^4 - 3117369/867677*c_0110_5^2 - 204939/867677, c_0101_6 + 397656/867677*c_0110_5^14 + 137293/867677*c_0110_5^12 - 17484141/867677*c_0110_5^10 - 26338642/867677*c_0110_5^8 + 82233872/867677*c_0110_5^6 - 21673805/867677*c_0110_5^4 + 6197404/867677*c_0110_5^2 - 578337/867677, c_0110_5^16 - 44*c_0110_5^12 - 51*c_0110_5^10 + 226*c_0110_5^8 - 133*c_0110_5^6 + 46*c_0110_5^4 - 9*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB