Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 2901225872] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3537 geometric_solution 6.90932266 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 1 2 0132 1302 3012 0132 0 0 0 1 0 -1 -1 2 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 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 0.476574173065 0.658846991249 0 0 3 0 0132 1230 0132 2031 0 0 1 0 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739245680142 0.930503935977 4 5 0 6 0132 0132 0132 0132 0 0 0 0 0 1 -2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739245680142 0.930503935977 4 6 5 1 3120 2031 3120 0132 0 0 0 0 0 -1 1 0 0 0 -1 1 -1 0 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 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476574173065 0.658846991249 2 4 4 3 0132 3201 2310 3120 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 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 0.624984978026 0.808023582455 5 2 3 5 3201 0132 3120 2310 0 0 0 0 0 -1 1 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 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 0.196673683198 0.799907253379 3 6 2 6 1302 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625066781062 0.622406413882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_5']})} 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_3, c_0011_6, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 88/17*c_0110_6^3 - 249/17*c_0110_6^2 + 253/85*c_0110_6 + 174/17, c_0011_0 - 1, c_0011_2 - 1, c_0011_3 - 5/17*c_0110_6^3 - 10/17*c_0110_6^2 + 29/17*c_0110_6 - 1/17, c_0011_6 - 20/17*c_0110_6^3 + 45/17*c_0110_6^2 + 14/17*c_0110_6 - 21/17, c_0101_1 - 1, c_0101_5 - 20/17*c_0110_6^3 + 45/17*c_0110_6^2 + 14/17*c_0110_6 - 38/17, c_0110_6^4 - 3*c_0110_6^3 + 6/5*c_0110_6^2 + 2*c_0110_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 153583441/327664*c_0110_6^5 + 59006545/327664*c_0110_6^4 + 139919667/327664*c_0110_6^3 - 61721333/327664*c_0110_6^2 - 308856/20479*c_0110_6 - 58567133/327664, c_0011_0 - 1, c_0011_2 - 39900/20479*c_0110_6^5 + 41987/20479*c_0110_6^4 + 44023/20479*c_0110_6^3 - 33743/20479*c_0110_6^2 - 3283/20479*c_0110_6 - 6870/20479, c_0011_3 + 20805/20479*c_0110_6^5 + 8679/20479*c_0110_6^4 + 596/20479*c_0110_6^3 - 14733/20479*c_0110_6^2 - 1360/20479*c_0110_6 + 5045/20479, c_0011_6 + 6118/20479*c_0110_6^5 - 3844/20479*c_0110_6^4 + 7039/20479*c_0110_6^3 + 13229/20479*c_0110_6^2 - 9190/20479*c_0110_6 + 9245/20479, c_0101_1 - 1, c_0101_5 + 6118/20479*c_0110_6^5 - 3844/20479*c_0110_6^4 + 7039/20479*c_0110_6^3 + 13229/20479*c_0110_6^2 - 9190/20479*c_0110_6 - 11234/20479, c_0110_6^6 - 13/19*c_0110_6^5 - 15/19*c_0110_6^4 + 13/19*c_0110_6^3 - 2/19*c_0110_6^2 + 7/19*c_0110_6 - 2/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB