Magma V2.19-8 Tue Aug 20 2013 16:18:54 on localhost [Seed = 2901225945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3060 geometric_solution 6.23012384 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.676480800922 1.015743493654 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.195390995970 1.301539676538 4 5 1 3 0132 0132 0132 3012 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 1 -1 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 1.043463594792 0.890052602955 6 4 2 1 0132 2310 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043463594792 0.890052602955 2 4 4 3 0132 1230 3012 3201 0 0 0 0 0 1 0 -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 -1 1 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 0.371512393609 0.806297024737 6 2 6 6 1023 0132 2031 3012 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 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 0.560310052664 0.521365855100 3 5 5 5 0132 1023 1230 1302 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 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 0.560310052664 0.521365855100 ==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' : 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_5'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), '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' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), '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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 103298153175207563/166379701024340736*c_0101_4^11 - 970442742855386929/166379701024340736*c_0101_4^10 - 292062484306396865/41594925256085184*c_0101_4^9 - 2505671704955228089/166379701024340736*c_0101_4^8 - 13713934314121579103/83189850512170368*c_0101_4^7 + 34463163238067681387/83189850512170368*c_0101_4^6 - 34194458268895942655/41594925256085184*c_0101_4^5 + 19547009357212990415/27729950170723456*c_0101_4^4 - 78760248081415262375/166379701024340736*c_0101_4^3 + 40641581491873847747/166379701024340736*c_0101_4^2 - 673964014969985423/10398731314021296*c_0101_4 + 5069782932967708327/166379701024340736, c_0011_0 - 1, c_0011_2 - 7048395021/2400445825028*c_0101_4^11 - 337176313557/9601783300112*c_0101_4^10 - 519370217951/4800891650056*c_0101_4^9 - 930139302049/4800891650056*c_0101_4^8 - 9450776793069/9601783300112*c_0101_4^7 - 764126326821/9601783300112*c_0101_4^6 + 1190992391903/9601783300112*c_0101_4^5 - 29976816294415/9601783300112*c_0101_4^4 - 20594527055/9601783300112*c_0101_4^3 + 4197434101377/4800891650056*c_0101_4^2 + 1379400314143/9601783300112*c_0101_4 + 1470858150185/9601783300112, c_0101_0 - 25600624231/9601783300112*c_0101_4^11 - 279778181349/9601783300112*c_0101_4^10 - 175080982493/2400445825028*c_0101_4^9 - 1497629112237/9601783300112*c_0101_4^8 - 4305569259875/4800891650056*c_0101_4^7 + 2521822280359/4800891650056*c_0101_4^6 - 4929491077359/2400445825028*c_0101_4^5 - 2687542660231/4800891650056*c_0101_4^4 - 8225977648291/9601783300112*c_0101_4^3 - 4354503934225/9601783300112*c_0101_4^2 - 374839703455/600111456257*c_0101_4 + 5265291160147/9601783300112, c_0101_1 - 25562720619/4800891650056*c_0101_4^11 - 495953175427/9601783300112*c_0101_4^10 - 330032180709/4800891650056*c_0101_4^9 - 379307539245/4800891650056*c_0101_4^8 - 12775005545737/9601783300112*c_0101_4^7 + 32160684233853/9601783300112*c_0101_4^6 - 38444727628871/9601783300112*c_0101_4^5 + 7233045228973/9601783300112*c_0101_4^4 + 37673167398635/9601783300112*c_0101_4^3 - 1842750492327/4800891650056*c_0101_4^2 + 5340648644541/9601783300112*c_0101_4 - 353160269511/9601783300112, c_0101_3 - 39659510661/4800891650056*c_0101_4^11 - 104141186123/1200222912514*c_0101_4^10 - 212350599665/1200222912514*c_0101_4^9 - 654723420647/2400445825028*c_0101_4^8 - 11112891169403/4800891650056*c_0101_4^7 + 3924569738379/1200222912514*c_0101_4^6 - 4656716904621/1200222912514*c_0101_4^5 - 11371885532721/4800891650056*c_0101_4^4 + 9413143217895/2400445825028*c_0101_4^3 + 1177341804525/2400445825028*c_0101_4^2 + 1680012239671/2400445825028*c_0101_4 + 558848940337/4800891650056, c_0101_4^12 + 10*c_0101_4^11 + 17*c_0101_4^10 + 31*c_0101_4^9 + 279*c_0101_4^8 - 508*c_0101_4^7 + 918*c_0101_4^6 - 370*c_0101_4^5 + 163*c_0101_4^4 - 86*c_0101_4^3 - 31*c_0101_4^2 - 21*c_0101_4 - 19, c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB