Magma V2.19-8 Tue Aug 20 2013 16:17:41 on localhost [Seed = 913812185] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1915 geometric_solution 5.52030806 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 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 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 0 0 0 0 0 0.317845598988 0.948279986956 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.811674930600 0.583997819601 4 3 5 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 1 -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 1.381791528006 0.755600071157 2 6 0 5 1230 0132 0132 3201 0 0 0 0 0 -1 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 0 -2 1 1 1 0 -1 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 1.381791528006 0.755600071157 2 6 5 6 0132 2031 0321 3012 0 0 0 0 0 0 0 0 1 0 -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 1 0 -1 0 -1 0 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457593145365 0.594213154622 6 3 4 2 3012 2310 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 2 0 -2 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 0.481220361731 0.344577664652 4 3 4 5 1302 0132 1230 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 2 0 -2 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 0.457593145365 0.594213154622 ==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_0101_2'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_1001_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1732340/19033*c_1001_5^9 + 2813887/19033*c_1001_5^8 + 19747535/19033*c_1001_5^7 - 28418246/19033*c_1001_5^6 - 61902825/19033*c_1001_5^5 + 6796149/2719*c_1001_5^4 + 68570031/19033*c_1001_5^3 - 30217118/19033*c_1001_5^2 - 26719240/19033*c_1001_5 + 9199921/19033, c_0011_0 - 1, c_0011_2 + 979/2719*c_1001_5^9 - 564/2719*c_1001_5^8 - 11801/2719*c_1001_5^7 + 2992/2719*c_1001_5^6 + 40613/2719*c_1001_5^5 + 21325/2719*c_1001_5^4 - 35300/2719*c_1001_5^3 - 24458/2719*c_1001_5^2 + 8679/2719*c_1001_5 + 3954/2719, c_0011_5 + 1175/2719*c_1001_5^9 - 838/2719*c_1001_5^8 - 13822/2719*c_1001_5^7 + 5699/2719*c_1001_5^6 + 44714/2719*c_1001_5^5 + 17579/2719*c_1001_5^4 - 32105/2719*c_1001_5^3 - 19409/2719*c_1001_5^2 + 9164/2719*c_1001_5 + 2346/2719, c_0101_0 + 337/2719*c_1001_5^9 + 278/2719*c_1001_5^8 - 4876/2719*c_1001_5^7 - 3461/2719*c_1001_5^6 + 21104/2719*c_1001_5^5 + 14895/2719*c_1001_5^4 - 15884/2719*c_1001_5^3 - 4567/2719*c_1001_5^2 + 2346/2719*c_1001_5 - 1544/2719, c_0101_1 + 754/2719*c_1001_5^9 - 1387/2719*c_1001_5^8 - 7303/2719*c_1001_5^7 + 12661/2719*c_1001_5^6 + 13307/2719*c_1001_5^5 - 12413/2719*c_1001_5^4 + 2608/2719*c_1001_5^3 + 8242/2719*c_1001_5^2 - 3489/2719*c_1001_5 - 2801/2719, c_0101_2 - c_1001_5, c_1001_5^10 - c_1001_5^9 - 12*c_1001_5^8 + 9*c_1001_5^7 + 41*c_1001_5^6 - 3*c_1001_5^5 - 40*c_1001_5^4 - 3*c_1001_5^3 + 14*c_1001_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB