Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 324177513] 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' : negation(d['1']), 's_3_4' : 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' : 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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : d['c_0011_5'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : 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: 16 Groebner basis: [ t - 3367818/148889*c_0101_2*c_0101_4^7 - 19537653/148889*c_0101_2*c_0101_4^6 + 48357895/148889*c_0101_2*c_0101_4^5 - 49430926/148889*c_0101_2*c_0101_4^4 + 245352/11453*c_0101_2*c_0101_4^3 + 28998327/148889*c_0101_2*c_0101_4^2 - 33404155/148889*c_0101_2*c_0101_4 + 10306830/148889*c_0101_2, c_0011_0 - 1, c_0011_3 + 1614/881*c_0101_2*c_0101_4^7 + 10084/881*c_0101_2*c_0101_4^6 - 18563/881*c_0101_2*c_0101_4^5 + 16159/881*c_0101_2*c_0101_4^4 + 4848/881*c_0101_2*c_0101_4^3 - 11991/881*c_0101_2*c_0101_4^2 + 12297/881*c_0101_2*c_0101_4 - 751/881*c_0101_2, c_0011_5 - 418/881*c_0101_2*c_0101_4^7 - 2545/881*c_0101_2*c_0101_4^6 + 5349/881*c_0101_2*c_0101_4^5 - 4043/881*c_0101_2*c_0101_4^4 - 1118/881*c_0101_2*c_0101_4^3 + 3957/881*c_0101_2*c_0101_4^2 - 4069/881*c_0101_2*c_0101_4 + 891/881*c_0101_2, c_0101_0 - 418/881*c_0101_4^7 - 2545/881*c_0101_4^6 + 5349/881*c_0101_4^5 - 4043/881*c_0101_4^4 - 1118/881*c_0101_4^3 + 3957/881*c_0101_4^2 - 3188/881*c_0101_4 + 891/881, c_0101_2^2 - 49/881*c_0101_4^7 - 233/881*c_0101_4^6 + 920/881*c_0101_4^5 - 2335/881*c_0101_4^4 - 776/881*c_0101_4^3 + 2072/881*c_0101_4^2 - 673/881*c_0101_4 - 707/881, c_0101_4^8 + 7*c_0101_4^7 - 7*c_0101_4^6 + 12*c_0101_4^4 - 6*c_0101_4^3 + c_0101_4^2 + 6*c_0101_4 - 1, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB