Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 2816883408] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2924 geometric_solution 6.12387077 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560359231209 0.424763452614 0 3 4 2 0132 0132 0132 2310 0 0 0 0 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 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 0.219195207714 0.884445204192 1 4 5 0 3201 1023 0132 0132 0 0 0 0 0 0 -1 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 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 0.219195207714 0.884445204192 5 1 5 5 2310 0132 1302 0321 0 1 0 0 0 0 0 0 0 0 1 -1 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 -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 0.866647968825 0.859103401848 2 6 6 1 1023 0132 1023 0132 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 0.080218120219 0.587085676016 3 3 3 2 2031 0321 3201 0132 0 0 0 1 0 0 -1 1 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 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 0.866647968825 0.859103401848 6 4 4 6 3201 0132 1023 2310 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 1.720856890792 0.684810305775 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_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_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2217406350103/476167881120*c_0101_6^10 - 6273396781727/476167881120*c_0101_6^9 - 69756435651391/476167881120*c_0101_6^8 - 4753050027213/19840328380*c_0101_6^7 + 89223555461891/238083940560*c_0101_6^6 + 219905999402873/238083940560*c_0101_6^5 - 25413916979701/158722627040*c_0101_6^4 - 189922814229143/238083940560*c_0101_6^3 - 2317688976025/23808394056*c_0101_6^2 - 223781383285/11904197028*c_0101_6 - 9844442630953/158722627040, c_0011_0 - 1, c_0011_2 + 71373938/992016419*c_0101_6^10 - 292229009/992016419*c_0101_6^9 - 1992443431/992016419*c_0101_6^8 - 926828623/992016419*c_0101_6^7 + 10741509963/992016419*c_0101_6^6 + 10189359659/992016419*c_0101_6^5 - 14295053689/992016419*c_0101_6^4 - 12430564252/992016419*c_0101_6^3 + 1831138022/992016419*c_0101_6^2 - 386460296/992016419*c_0101_6 - 251765292/992016419, c_0011_5 + 1, c_0101_0 - 24832791/992016419*c_0101_6^10 + 80791838/992016419*c_0101_6^9 + 679276270/992016419*c_0101_6^8 + 1200308182/992016419*c_0101_6^7 - 561159313/992016419*c_0101_6^6 - 1438002067/992016419*c_0101_6^5 - 1304421030/992016419*c_0101_6^4 - 810626116/992016419*c_0101_6^3 + 1246980108/992016419*c_0101_6^2 - 2272145491/992016419*c_0101_6 + 779579703/992016419, c_0101_1 + 55727357/992016419*c_0101_6^10 - 188656261/992016419*c_0101_6^9 - 1689418899/992016419*c_0101_6^8 - 1807745648/992016419*c_0101_6^7 + 6726959563/992016419*c_0101_6^6 + 9474060284/992016419*c_0101_6^5 - 9002566212/992016419*c_0101_6^4 - 9034008550/992016419*c_0101_6^3 + 5071328257/992016419*c_0101_6^2 - 1845358989/992016419*c_0101_6 - 1005962440/992016419, c_0101_4 - 24832791/992016419*c_0101_6^10 + 80791838/992016419*c_0101_6^9 + 679276270/992016419*c_0101_6^8 + 1200308182/992016419*c_0101_6^7 - 561159313/992016419*c_0101_6^6 - 1438002067/992016419*c_0101_6^5 - 1304421030/992016419*c_0101_6^4 - 810626116/992016419*c_0101_6^3 + 1246980108/992016419*c_0101_6^2 - 2272145491/992016419*c_0101_6 - 212436716/992016419, c_0101_6^11 - 3*c_0101_6^10 - 31*c_0101_6^9 - 46*c_0101_6^8 + 90*c_0101_6^7 + 186*c_0101_6^6 - 69*c_0101_6^5 - 168*c_0101_6^4 + 8*c_0101_6^3 - 13*c_0101_6 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB