Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 526287461] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3231 geometric_solution 6.36041996 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 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 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 -0.376789223857 0.898485090604 0 4 3 3 0132 0132 0213 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168502003361 0.791681089443 4 0 5 0 0132 0132 0132 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 -1 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 0 0 0 0 0.064123326403 1.061564287569 1 1 5 0 3201 0213 1023 0132 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 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 0.168502003361 0.791681089443 2 1 6 5 0132 0132 0132 2310 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 0 0 0 1 0 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 0.151070567452 1.182737633730 4 6 3 2 3201 0132 1023 0132 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 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 0.151070567452 1.182737633730 6 5 6 4 2310 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 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 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 -0.106261210861 0.831923353512 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : d['1'], 's_0_5' : negation(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_5'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_0']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_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_5, c_0101_0, c_0101_2, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 2529/512*c_0101_2*c_0101_4^8 - 819/512*c_0101_2*c_0101_4^7 + 5391/512*c_0101_2*c_0101_4^6 + 2367/256*c_0101_2*c_0101_4^5 - 1189/128*c_0101_2*c_0101_4^4 - 1225/256*c_0101_2*c_0101_4^3 + 3789/512*c_0101_2*c_0101_4^2 - 405/256*c_0101_2*c_0101_4 - 105/512*c_0101_2, c_0011_0 - 1, c_0011_3 + 321/452*c_0101_2*c_0101_4^8 + 411/452*c_0101_2*c_0101_4^7 - 127/452*c_0101_2*c_0101_4^6 - 641/226*c_0101_2*c_0101_4^5 - 202/113*c_0101_2*c_0101_4^4 + 141/226*c_0101_2*c_0101_4^3 + 847/452*c_0101_2*c_0101_4^2 - 121/226*c_0101_2*c_0101_4 - 507/452*c_0101_2, c_0011_5 - 144/113*c_0101_2*c_0101_4^8 - 102/113*c_0101_2*c_0101_4^7 + 453/113*c_0101_2*c_0101_4^6 + 479/113*c_0101_2*c_0101_4^5 - 475/113*c_0101_2*c_0101_4^4 - 682/113*c_0101_2*c_0101_4^3 + 335/113*c_0101_2*c_0101_4^2 + 211/113*c_0101_2*c_0101_4 - 101/113*c_0101_2, c_0101_0 + 144/113*c_0101_4^8 + 102/113*c_0101_4^7 - 453/113*c_0101_4^6 - 479/113*c_0101_4^5 + 475/113*c_0101_4^4 + 682/113*c_0101_4^3 - 335/113*c_0101_4^2 - 324/113*c_0101_4 + 101/113, c_0101_2^2 + 165/113*c_0101_4^8 + 18/113*c_0101_4^7 - 512/113*c_0101_4^6 - 264/113*c_0101_4^5 + 589/113*c_0101_4^4 + 240/113*c_0101_4^3 - 325/113*c_0101_4^2 + 109/113*c_0101_4 - 42/113, c_0101_4^9 - 8/3*c_0101_4^7 - c_0101_4^6 + 10/3*c_0101_4^5 + 2/3*c_0101_4^4 - 3*c_0101_4^3 + c_0101_4^2 + 1/3*c_0101_4 - 1/3, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB