Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 913812207] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1730 geometric_solution 5.43501389 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 -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 0.670158503738 1.296931454015 0 5 3 3 0132 0132 2310 1230 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 -1 0 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 0.321643951933 1.354169800543 5 0 4 3 2310 0132 1302 3012 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 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 0.170124151459 0.151788781557 1 1 2 0 3012 3201 1230 0132 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 1 0 -1 -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 0.136850577771 0.188810247127 2 6 0 6 2031 0132 0132 1023 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 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 1.087882017378 0.515417538025 6 1 2 6 2031 0132 3201 3120 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 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 0.427199760906 0.971334578397 5 4 5 4 3120 0132 1302 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640463839422 0.377923960869 ==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' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(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_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0110_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0110_4']})} 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_4, c_0101_1, c_0101_5, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 101301/16709*c_0110_5^8 - 623323/16709*c_0110_5^7 - 26860/2387*c_0110_5^6 + 2430811/16709*c_0110_5^5 + 1890408/16709*c_0110_5^4 - 446142/2387*c_0110_5^3 - 4038956/16709*c_0110_5^2 - 913450/16709*c_0110_5 + 234310/16709, c_0011_0 - 1, c_0011_3 - 25/341*c_0110_5^8 - 45/341*c_0110_5^7 + 505/341*c_0110_5^6 + 184/341*c_0110_5^5 - 1805/341*c_0110_5^4 - 405/341*c_0110_5^3 + 2115/341*c_0110_5^2 + 931/341*c_0110_5 - 282/341, c_0011_4 - 1303/2387*c_0110_5^8 - 7324/2387*c_0110_5^7 + 126/341*c_0110_5^6 + 28045/2387*c_0110_5^5 + 12520/2387*c_0110_5^4 - 5422/341*c_0110_5^3 - 36669/2387*c_0110_5^2 - 3281/2387*c_0110_5 + 2434/2387, c_0101_1 - 23/77*c_0110_5^8 - 81/77*c_0110_5^7 + 34/11*c_0110_5^6 + 230/77*c_0110_5^5 - 587/77*c_0110_5^4 - 46/11*c_0110_5^3 + 463/77*c_0110_5^2 + 270/77*c_0110_5 - 116/77, c_0101_5 + 2082/2387*c_0110_5^8 + 11045/2387*c_0110_5^7 - 630/341*c_0110_5^6 - 40994/2387*c_0110_5^5 - 9063/2387*c_0110_5^4 + 7673/341*c_0110_5^3 + 43535/2387*c_0110_5^2 + 3788/2387*c_0110_5 - 1940/2387, c_0110_4 + 494/2387*c_0110_5^8 + 2185/2387*c_0110_5^7 - 461/341*c_0110_5^6 - 8328/2387*c_0110_5^5 + 5045/2387*c_0110_5^4 + 1835/341*c_0110_5^3 + 3015/2387*c_0110_5^2 - 5384/2387*c_0110_5 - 1084/2387, c_0110_5^9 + 6*c_0110_5^8 + c_0110_5^7 - 24*c_0110_5^6 - 16*c_0110_5^5 + 33*c_0110_5^4 + 38*c_0110_5^3 + 3*c_0110_5^2 - 6*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB