Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 3819077596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s050 geometric_solution 3.59121346 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.747281682699 0.092570057083 0 0 2 2 0132 3201 2310 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 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 1.710361435786 0.430348289442 3 1 1 3 0132 3201 0132 1023 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 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 1.116424792245 0.226466755830 2 4 5 2 0132 0132 0132 1023 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 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 0.799412118160 0.414806547372 5 3 5 5 2031 0132 1302 3201 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.512854857975 0.498578757692 4 4 4 3 2031 2310 1302 0132 0 0 0 0 0 0 0 0 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 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 0.512854857975 0.498578757692 ==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' : 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' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(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_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_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_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 8325292088681/105524382807*c_0110_4^12 + 3992048431579/105524382807*c_0110_4^11 + 9966111659575/105524382807*c_0110_4^10 - 22617678599723/11724931423*c_0110_4^9 - 763957944946216/105524382807*c_0110_4^8 - 100480527963443/35174794269*c_0110_4^7 + 198776546689567/105524382807*c_0110_4^6 + 242405850016261/35174794269*c_0110_4^5 + 558157073114599/105524382807*c_0110_4^4 - 300004308694499/105524382807*c_0110_4^3 - 209790170782091/105524382807*c_0110_4^2 + 7195799640299/105524382807*c_0110_4 - 18404792029585/105524382807, c_0011_0 - 1, c_0011_2 + 2008824985/35174794269*c_0110_4^12 + 740290616/35174794269*c_0110_4^11 + 2229148646/35174794269*c_0110_4^10 - 16043320067/11724931423*c_0110_4^9 - 178839904457/35174794269*c_0110_4^8 - 16049584038/11724931423*c_0110_4^7 + 30625169552/35174794269*c_0110_4^6 + 23025671367/11724931423*c_0110_4^5 + 83332814495/35174794269*c_0110_4^4 - 141521097565/35174794269*c_0110_4^3 + 534219644/35174794269*c_0110_4^2 + 8562277219/35174794269*c_0110_4 - 12455851817/35174794269, c_0101_0 + 10969469288/35174794269*c_0110_4^12 + 18956479780/35174794269*c_0110_4^11 + 22290150850/35174794269*c_0110_4^10 - 80445603748/11724931423*c_0110_4^9 - 1332022333795/35174794269*c_0110_4^8 - 566666133237/11724931423*c_0110_4^7 - 690642353867/35174794269*c_0110_4^6 + 102343305881/11724931423*c_0110_4^5 + 1356041544163/35174794269*c_0110_4^4 + 357599224144/35174794269*c_0110_4^3 - 191714278766/35174794269*c_0110_4^2 + 75073067459/35174794269*c_0110_4 - 33597806158/35174794269, c_0101_1 + 39235167028/35174794269*c_0110_4^12 + 25110620351/35174794269*c_0110_4^11 + 59790540383/35174794269*c_0110_4^10 - 313872493036/11724931423*c_0110_4^9 - 3733160878196/35174794269*c_0110_4^8 - 741546902951/11724931423*c_0110_4^7 - 310134142828/35174794269*c_0110_4^6 + 854257305515/11724931423*c_0110_4^5 + 2512189159289/35174794269*c_0110_4^4 - 697938178465/35174794269*c_0110_4^3 - 495745067041/35174794269*c_0110_4^2 + 121639908733/35174794269*c_0110_4 - 33446008508/35174794269, c_0101_3 - 1539384160/11724931423*c_0110_4^12 - 1936903622/11724931423*c_0110_4^11 - 2171710083/11724931423*c_0110_4^10 + 35270109855/11724931423*c_0110_4^9 + 170407877467/11724931423*c_0110_4^8 + 157648976627/11724931423*c_0110_4^7 + 9483816198/11724931423*c_0110_4^6 - 78004196193/11724931423*c_0110_4^5 - 148409851385/11724931423*c_0110_4^4 + 46245003618/11724931423*c_0110_4^3 + 44526595829/11724931423*c_0110_4^2 - 16872602714/11724931423*c_0110_4 + 1300640804/11724931423, c_0110_4^13 + c_0110_4^11 - 25*c_0110_4^10 - 80*c_0110_4^9 + 7*c_0110_4^8 + 38*c_0110_4^7 + 74*c_0110_4^6 + 26*c_0110_4^5 - 65*c_0110_4^4 - 5*c_0110_4^3 + 12*c_0110_4^2 - 4*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB