Magma V2.19-8 Fri Sep 13 2013 00:58:40 on localhost [Seed = 3568573731] Type ? for help. Type -D to quit. Loading file "m125__sl3_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation m125 geometric_solution 3.66386238 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 4 1 2 2 3 0132 0132 2031 0132 0 0 1 0 0 1 0 -1 0 0 -1 1 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 -1 1 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 0.500000000000 0.500000000000 0 3 2 3 0132 2103 2103 1023 0 0 0 1 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 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 1.000000000000 1.000000000000 1 0 3 0 2103 0132 2103 1302 0 0 0 1 0 -1 0 1 1 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 2 1 0 1 2103 2103 0132 1023 0 0 0 1 0 0 1 -1 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 1 -1 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 1.000000000000 1.000000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0210_2'] * d['u'] ** 2, 'c_1020_3' : d['c_0102_0'], 'c_1020_0' : d['c_0012_1'], 'c_1020_1' : d['c_0120_3'] * d['u'] ** 1, 'c_0201_0' : d['c_0120_3'] * d['u'] ** 1, 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0201_1'], 'c_0201_3' : d['c_0201_1'], 'c_2100_0' : d['c_0210_2'] * d['u'] ** 2, 'c_2100_1' : d['c_0120_2'] * d['u'] ** 1, 'c_2100_2' : d['c_0120_3'], 'c_2100_3' : d['c_0210_2'] * d['u'] ** 1, 'c_2010_2' : d['c_0120_2'] * d['u'] ** 1, 'c_2010_3' : d['c_0120_3'] * d['u'] ** 1, 'c_2010_0' : d['c_0012_0'] * d['u'] ** 1, 'c_2010_1' : d['c_0102_0'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0102_1'], 'c_0102_3' : d['c_0102_1'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : negation(d['c_0111_2']) * d['u'] ** 2, 'c_1101_2' : negation(d['c_0111_3']), 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0102_0'] * d['u'] ** 1, 'c_1200_3' : d['c_0120_2'] * d['u'] ** 2, 'c_1200_0' : d['c_0120_2'] * d['u'] ** 1, 'c_1200_1' : d['c_0210_2'] * d['u'] ** 2, 'c_1110_2' : d['c_1101_0'] * d['u'] ** 2, 'c_1110_3' : negation(d['c_1110_1']) * d['u'] ** 2, 'c_1110_0' : d['c_1101_3'] * d['u'] ** 1, 'c_1110_1' : d['c_1110_1'], 'c_0120_0' : d['c_0102_1'] * d['u'] ** 1, 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0120_2'], 'c_0120_3' : d['c_0120_3'], 'c_2001_0' : d['c_0120_2'] * d['u'] ** 1, 'c_2001_1' : d['c_0012_0'] * d['u'] ** 1, 'c_2001_2' : d['c_0012_0'] * d['u'] ** 1, 'c_2001_3' : d['c_0012_0'] * d['u'] ** 1, 'c_0012_2' : d['c_0012_1'] * d['u'] ** 1, 'c_0012_3' : d['c_0012_1'], 'c_0012_0' : d['c_0012_0'], 'c_0012_1' : d['c_0012_1'], 'c_0111_0' : d['c_0111_0'], 'c_0111_1' : negation(d['c_0111_0']) * d['u'] ** 1, 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0210_2'], 'c_0210_3' : d['c_0102_0'] * d['u'] ** 1, 'c_0210_0' : d['c_0201_1'] * d['u'] ** 2, 'c_0210_1' : d['c_0120_3'] * d['u'] ** 1, 'c_1002_2' : d['c_0012_1'], 'c_1002_3' : d['c_0012_1'], 'c_1002_0' : d['c_0210_2'] * d['u'] ** 2, 'c_1002_1' : d['c_0012_1'], 'c_1011_2' : negation(d['c_1011_0']), 'c_1011_3' : negation(d['c_1011_1']), 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'] * d['u'] ** 1, 'c_0021_1' : d['c_0012_0'] * d['u'] ** 1, 'c_0021_2' : d['c_0012_0'], 'c_0021_3' : d['c_0012_0'] * d['u'] ** 1}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 0.600 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0120_3, c_0201_1, c_0210_2, c_1011_0, c_1011_1, c_1101_0, c_1101_3, c_1110_1, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 6181420444091342/24046046337691*c_1110_1^7*u + 13421595747112379/24046046337691*c_1110_1^7 + 93961194046928549/24046046337691*c_1110_1^6*u + 135756958361209305/24046046337691*c_1110_1^6 - 445803548725670146/24046046337691*c_1110_1^5*u - 332037975207252564/24046046337691*c_1110_1^5 + 542334015864112712/24046046337691*c_1110_1^4*u + 164237687744432802/24046046337691*c_1110_1^4 - 438001694863622522/24046046337691*c_1110_1^3*u - 139676282852482004/24046046337691*c_1110_1^3 + 349427482889288567/24046046337691*c_1110_1^2*u + 62067445648966207/24046046337691*c_1110_1^2 - 171173625222809462/24046046337691*c_1110_1*u - 33538586363623802/24046046337691*c_1110_1 + 71604765329880082/24046046337691*u - 1547800480637979/3435149476813, c_0012_0 - 1, c_0012_1 + u + 1, c_0102_0 - 1, c_0102_1 + 11593651204186/24046046337691*c_1110_1^7*u + 7244040514836/24046046337691*c_1110_1^7 + 50075802886597/24046046337691*c_1110_1^6*u - 34023389802681/24046046337691*c_1110_1^6 - 8122323645609/3435149476813*c_1110_1^5*u + 27431721694418/3435149476813*c_1110_1^5 - 52823791908323/24046046337691*c_1110_1^4*u - 246479231240521/24046046337691*c_1110_1^4 - 21211353848218/24046046337691*c_1110_1^3*u + 154567287749001/24046046337691*c_1110_1^3 + 33611667175727/24046046337691*c_1110_1^2*u - 126936681084495/24046046337691*c_1110_1^2 - 20008264683630/24046046337691*c_1110_1*u + 60736768016648/24046046337691*c_1110_1 + 746089352513/24046046337691*u - 25194484478664/24046046337691, c_0111_0 - 1, c_0111_2 - 7824609139826/24046046337691*c_1110_1^7*u - 6547661528963/24046046337691*c_1110_1^7 - 52193820126333/24046046337691*c_1110_1^6*u + 10112431255530/24046046337691*c_1110_1^6 + 10031642342823/3435149476813*c_1110_1^5*u - 9534244605786/3435149476813*c_1110_1^5 - 38242387476591/24046046337691*c_1110_1^4*u + 54012673003921/24046046337691*c_1110_1^4 + 57534916135259/24046046337691*c_1110_1^3*u - 57303620541130/24046046337691*c_1110_1^3 + 20226129218842/24046046337691*c_1110_1^2*u + 53561254029594/24046046337691*c_1110_1^2 - 4563240385730/24046046337691*c_1110_1*u - 29558255155724/24046046337691*c_1110_1 + 11584255220771/24046046337691*u + 3575822222608/24046046337691, c_0111_3 + 6516002500919/24046046337691*c_1110_1^7*u - 9172552470040/24046046337691*c_1110_1^7 - 67740028279093/24046046337691*c_1110_1^6*u - 117264510518644/24046046337691*c_1110_1^6 + 39219595505983/3435149476813*c_1110_1^5*u + 36284515586464/3435149476813*c_1110_1^5 - 242187609713891/24046046337691*c_1110_1^4*u - 120667599442564/24046046337691*c_1110_1^4 + 166501779445041/24046046337691*c_1110_1^3*u + 133292943695962/24046046337691*c_1110_1^3 - 127199518976407/24046046337691*c_1110_1^2*u - 39099625602172/24046046337691*c_1110_1^2 + 45790874625700/24046046337691*c_1110_1*u + 38003725069579/24046046337691*c_1110_1 - 13555135314384/24046046337691*u + 10914636960986/24046046337691, c_0120_2 + 11330144172311/24046046337691*c_1110_1^7*u + 3189409785447/24046046337691*c_1110_1^7 + 20027022657699/24046046337691*c_1110_1^6*u - 65210261383243/24046046337691*c_1110_1^6 + 1761550084683/3435149476813*c_1110_1^5*u + 30402884596159/3435149476813*c_1110_1^5 - 49539534852443/24046046337691*c_1110_1^4*u - 222960747179286/24046046337691*c_1110_1^4 - 1782240326047/24046046337691*c_1110_1^3*u + 188232864380529/24046046337691*c_1110_1^3 - 12274098474878/24046046337691*c_1110_1^2*u - 129213244997871/24046046337691*c_1110_1^2 + 6805906373248/24046046337691*c_1110_1*u + 81863445186287/24046046337691*c_1110_1 - 651680828894/24046046337691*u - 1496287252444/24046046337691, c_0120_3 - 5740136456715/24046046337691*c_1110_1^7*u - 4427513322507/24046046337691*c_1110_1^7 - 29417569540629/24046046337691*c_1110_1^6*u + 15740885426170/24046046337691*c_1110_1^6 + 11804979524630/3435149476813*c_1110_1^5*u - 8799244423633/3435149476813*c_1110_1^5 - 115666675901970/24046046337691*c_1110_1^4*u + 92152128723461/24046046337691*c_1110_1^4 + 113127060913380/24046046337691*c_1110_1^3*u - 105123375162216/24046046337691*c_1110_1^3 - 84444516244948/24046046337691*c_1110_1^2*u + 40481179462265/24046046337691*c_1110_1^2 + 59384047578571/24046046337691*c_1110_1*u - 30648114378540/24046046337691*c_1110_1 - 16940785704701/24046046337691*u + 997565809344/24046046337691, c_0201_1 + 11593651204186/24046046337691*c_1110_1^7*u + 7244040514836/24046046337691*c_1110_1^7 + 50075802886597/24046046337691*c_1110_1^6*u - 34023389802681/24046046337691*c_1110_1^6 - 8122323645609/3435149476813*c_1110_1^5*u + 27431721694418/3435149476813*c_1110_1^5 - 52823791908323/24046046337691*c_1110_1^4*u - 246479231240521/24046046337691*c_1110_1^4 - 21211353848218/24046046337691*c_1110_1^3*u + 154567287749001/24046046337691*c_1110_1^3 + 33611667175727/24046046337691*c_1110_1^2*u - 126936681084495/24046046337691*c_1110_1^2 - 20008264683630/24046046337691*c_1110_1*u + 60736768016648/24046046337691*c_1110_1 + 746089352513/24046046337691*u - 25194484478664/24046046337691, c_0210_2 - 2705102636290/24046046337691*c_1110_1^7*u - 4415684395396/24046046337691*c_1110_1^7 - 27371931545457/24046046337691*c_1110_1^6*u - 10242521317433/24046046337691*c_1110_1^6 + 13428268261801/3435149476813*c_1110_1^5*u - 4174260559116/3435149476813*c_1110_1^5 - 32564279188380/24046046337691*c_1110_1^4*u + 109988096999474/24046046337691*c_1110_1^4 + 2748222718428/24046046337691*c_1110_1^3*u - 48450570213338/24046046337691*c_1110_1^3 + 2110023352742/24046046337691*c_1110_1^2*u + 38776827756511/24046046337691*c_1110_1^2 + 7076926457532/24046046337691*c_1110_1*u - 1597323285408/24046046337691*c_1110_1 + 8115598070714/24046046337691*u + 8935827059603/24046046337691, c_1011_0 + 7087355150047/24046046337691*c_1110_1^7*u + 15590822236869/24046046337691*c_1110_1^7 + 121246630889086/24046046337691*c_1110_1^6*u + 65753556587833/24046046337691*c_1110_1^6 - 37321246756739/3435149476813*c_1110_1^5*u - 7107875079427/3435149476813*c_1110_1^5 + 174820153746787/24046046337691*c_1110_1^4*u - 6051410649625/24046046337691*c_1110_1^4 - 194368256842197/24046046337691*c_1110_1^3*u - 81822217157567/24046046337691*c_1110_1^3 + 100272565884016/24046046337691*c_1110_1^2*u + 37587017695685/24046046337691*c_1110_1^2 - 64393611120613/24046046337691*c_1110_1*u - 34276540621898/24046046337691*c_1110_1 - 14536117803898/24046046337691*u + 427315523634/24046046337691, c_1011_1 - 4427513322507/24046046337691*c_1110_1^7*u + 1312623134208/24046046337691*c_1110_1^7 + 15740885426170/24046046337691*c_1110_1^6*u + 45158454966799/24046046337691*c_1110_1^6 - 8799244423633/3435149476813*c_1110_1^5*u - 20604223948263/3435149476813*c_1110_1^5 + 92152128723461/24046046337691*c_1110_1^4*u + 207818804625431/24046046337691*c_1110_1^4 - 105123375162216/24046046337691*c_1110_1^3*u - 218250436075596/24046046337691*c_1110_1^3 + 40481179462265/24046046337691*c_1110_1^2*u + 124925695707213/24046046337691*c_1110_1^2 - 6602068040849/24046046337691*c_1110_1*u - 90032161957111/24046046337691*c_1110_1 + 997565809344/24046046337691*u + 17938351514045/24046046337691, c_1101_0 + 2671670754651/24046046337691*c_1110_1^7*u + 13880240477763/24046046337691*c_1110_1^7 + 111004109571653/24046046337691*c_1110_1^6*u + 82882966815857/24046046337691*c_1110_1^6 - 41495507315855/3435149476813*c_1110_1^5*u - 24710403900344/3435149476813*c_1110_1^5 + 284808250746261/24046046337691*c_1110_1^4*u + 136500965538229/24046046337691*c_1110_1^4 - 242818827055535/24046046337691*c_1110_1^3*u - 133021010089333/24046046337691*c_1110_1^3 + 139049393640527/24046046337691*c_1110_1^2*u + 74253822099454/24046046337691*c_1110_1^2 - 65990934406021/24046046337691*c_1110_1*u - 42950790364838/24046046337691*c_1110_1 - 5600290744295/24046046337691*u + 1247544512523/24046046337691, c_1101_3 + 4522718292/3435149476813*c_1110_1^7*u + 1127943551311/3435149476813*c_1110_1^7 + 8232513860509/3435149476813*c_1110_1^6*u + 7851179876683/3435149476813*c_1110_1^6 - 29685350900197/3435149476813*c_1110_1^5*u - 16718628637855/3435149476813*c_1110_1^5 + 26882133815710/3435149476813*c_1110_1^4*u + 4058934137436/3435149476813*c_1110_1^4 - 15599736986273/3435149476813*c_1110_1^3*u - 2636343859939/3435149476813*c_1110_1^3 + 10519752135259/3435149476813*c_1110_1^2*u + 823500113060/3435149476813*c_1110_1^2 - 2318945638568/3435149476813*c_1110_1*u - 1858387185655/3435149476813*c_1110_1 - 2009533320845/3435149476813*u - 415171994689/3435149476813, c_1110_1^8 + 7*c_1110_1^7*u + 7*c_1110_1^7 - 26*c_1110_1^6*u - 12*c_1110_1^6 + 178/7*c_1110_1^5*u - 6/7*c_1110_1^5 - 144/7*c_1110_1^4*u - 6/7*c_1110_1^4 + 107/7*c_1110_1^3*u - 18/7*c_1110_1^3 - 51/7*c_1110_1^2*u + 4/7*c_1110_1^2 + 17/7*c_1110_1*u - 13/7*c_1110_1 + 1/7*u - 2/7, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 0.610 Total time: 0.820 seconds, Total memory usage: 32.09MB