Magma V2.19-8 Tue Aug 20 2013 16:19:16 on localhost [Seed = 1595851344] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3386 geometric_solution 6.55275524 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 0.353608366594 0.815045240875 0 2 6 5 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353608366594 0.815045240875 2 0 1 2 3201 0132 2310 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 -0.447981138766 1.032568597484 4 6 6 0 1023 2103 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.678102241995 0.762395762719 5 3 0 5 3012 1023 0132 1230 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 1 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 1.016716076135 0.955320645686 4 6 1 4 3012 1023 0132 1230 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 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 1.016716076135 0.955320645686 5 3 3 1 1023 2103 0321 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678102241995 0.762395762719 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_3'], 'c_0011_6' : d['c_0011_5'], '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' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_3'], '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_0101_2']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_3']})} 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_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + c_0101_2 - 1/2, c_0011_0 - 1, c_0011_3 - c_0101_1*c_0101_2 - c_0101_1 + c_0101_2 + 2, c_0011_5 + c_0101_1*c_0101_2 + c_0101_1 - c_0101_2 - 1, c_0101_0 - c_0101_1 + c_0101_2 + 2, c_0101_1^2 - c_0101_1*c_0101_2 - 2*c_0101_1 + 2*c_0101_2 + 2, c_0101_2^2 + c_0101_2 - 1, c_0101_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 12820643/17634151*c_0101_3^8 - 19887153/35268302*c_0101_3^7 - 207564357/35268302*c_0101_3^6 + 65333195/141073208*c_0101_3^5 + 2998699623/282146416*c_0101_3^4 - 923361169/282146416*c_0101_3^3 - 177201702/17634151*c_0101_3^2 + 2552427857/282146416*c_0101_3 + 90497313/35268302, c_0011_0 - 1, c_0011_3 - 2351590/17634151*c_0101_3^8 + 7479704/17634151*c_0101_3^7 + 6354059/17634151*c_0101_3^6 - 84030649/70536604*c_0101_3^5 - 59183693/70536604*c_0101_3^4 + 21936744/17634151*c_0101_3^3 + 8982931/70536604*c_0101_3^2 - 4586729/35268302*c_0101_3 - 6317898/17634151, c_0011_5 - 2351590/17634151*c_0101_3^8 + 7479704/17634151*c_0101_3^7 + 6354059/17634151*c_0101_3^6 - 84030649/70536604*c_0101_3^5 - 59183693/70536604*c_0101_3^4 + 21936744/17634151*c_0101_3^3 + 8982931/70536604*c_0101_3^2 - 4586729/35268302*c_0101_3 - 6317898/17634151, c_0101_0 - 3956982/17634151*c_0101_3^8 + 5462936/17634151*c_0101_3^7 + 23177347/17634151*c_0101_3^6 - 13575345/70536604*c_0101_3^5 - 131133349/70536604*c_0101_3^4 + 5916466/17634151*c_0101_3^3 + 30295503/70536604*c_0101_3^2 + 1964823/35268302*c_0101_3 + 5378628/17634151, c_0101_1 + 3956982/17634151*c_0101_3^8 - 5462936/17634151*c_0101_3^7 - 23177347/17634151*c_0101_3^6 + 13575345/70536604*c_0101_3^5 + 131133349/70536604*c_0101_3^4 - 5916466/17634151*c_0101_3^3 - 30295503/70536604*c_0101_3^2 - 1964823/35268302*c_0101_3 - 5378628/17634151, c_0101_2 - 3225914/17634151*c_0101_3^8 + 6973964/17634151*c_0101_3^7 + 14137733/17634151*c_0101_3^6 - 58484959/70536604*c_0101_3^5 - 88349245/70536604*c_0101_3^4 + 55492927/35268302*c_0101_3^3 + 37538149/70536604*c_0101_3^2 - 15298531/17634151*c_0101_3 - 4217685/17634151, c_0101_3^9 - 2*c_0101_3^8 - 9/2*c_0101_3^7 + 27/8*c_0101_3^6 + 53/8*c_0101_3^5 - 25/4*c_0101_3^4 - 21/8*c_0101_3^3 + 3/2*c_0101_3^2 + c_0101_3 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB