Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 3616951043] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1374 geometric_solution 5.23119223 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 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 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 0.548760887914 0.348074500629 0 3 0 3 0132 0132 2310 2310 0 0 0 0 0 1 0 -1 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 -1 0 1 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 -0.299474790047 0.824246130852 4 0 5 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.151764322039 0.476171630223 1 1 4 5 3201 0132 1230 1230 0 0 0 0 0 -1 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 1 -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 -0.607611841208 1.906426471545 2 4 4 3 0132 1230 3012 3012 0 0 0 0 0 -1 1 0 0 0 1 -1 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 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.030617543787 0.702979689179 3 6 6 2 3012 0132 1023 0132 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 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 0.829927176452 0.363375019386 6 5 5 6 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109078333041 0.363415724978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], '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' : 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_0101_6'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 375366340275043/285560066191485*c_0101_6^13 - 2388270518996/1842323007687*c_0101_6^12 - 14355234922374373/571120132382970*c_0101_6^11 + 402558864322943/6141076692290*c_0101_6^10 - 4986907823912693/285560066191485*c_0101_6^9 - 3761001011422289/95186688730495*c_0101_6^8 + 2399043125760133/190373377460990*c_0101_6^7 - 14489584365835712/285560066191485*c_0101_6^6 + 3511794033502421/57112013238297*c_0101_6^5 - 23219758029195248/285560066191485*c_0101_6^4 + 8713086480082939/571120132382970*c_0101_6^3 + 1688822201485295/114224026476594*c_0101_6^2 + 1955762474960051/571120132382970*c_0101_6 + 770498317768421/190373377460990, c_0011_0 - 1, c_0011_2 + 55028879117/614107669229*c_0101_6^13 + 15481586506/614107669229*c_0101_6^12 - 1116902895372/614107669229*c_0101_6^11 + 1419963220936/614107669229*c_0101_6^10 + 2658032890804/614107669229*c_0101_6^9 - 2632778636840/614107669229*c_0101_6^8 - 1009035687022/614107669229*c_0101_6^7 - 1680577812277/614107669229*c_0101_6^6 - 305850967875/614107669229*c_0101_6^5 - 523708709492/614107669229*c_0101_6^4 - 3834724034357/614107669229*c_0101_6^3 + 1656636508545/614107669229*c_0101_6^2 + 234593314766/614107669229*c_0101_6 + 366085963241/614107669229, c_0101_0 + 165264394536/614107669229*c_0101_6^13 - 143614884966/614107669229*c_0101_6^12 - 3154743547636/614107669229*c_0101_6^11 + 7837045365013/614107669229*c_0101_6^10 - 1667973155167/614107669229*c_0101_6^9 - 3815936523005/614107669229*c_0101_6^8 - 207169025866/614107669229*c_0101_6^7 - 6124726964220/614107669229*c_0101_6^6 + 7814953594614/614107669229*c_0101_6^5 - 10655206633712/614107669229*c_0101_6^4 + 1957823654442/614107669229*c_0101_6^3 - 604265789011/614107669229*c_0101_6^2 + 1660486219786/614107669229*c_0101_6 + 56016831267/614107669229, c_0101_1 + 1, c_0101_2 + 62285077909/614107669229*c_0101_6^13 + 15375233792/614107669229*c_0101_6^12 - 1289940519071/614107669229*c_0101_6^11 + 1659489231758/614107669229*c_0101_6^10 + 3441128379514/614107669229*c_0101_6^9 - 4035670336775/614107669229*c_0101_6^8 - 1339268788193/614107669229*c_0101_6^7 - 1095751070102/614107669229*c_0101_6^6 - 406399175618/614107669229*c_0101_6^5 + 717196617465/614107669229*c_0101_6^4 - 5049575915467/614107669229*c_0101_6^3 + 3514804383673/614107669229*c_0101_6^2 + 391552291378/614107669229*c_0101_6 - 232194772214/614107669229, c_0101_5 + 15826933774/614107669229*c_0101_6^13 - 23083132566/614107669229*c_0101_6^12 - 300605388992/614107669229*c_0101_6^11 + 964384312399/614107669229*c_0101_6^10 - 492756951206/614107669229*c_0101_6^9 - 1162941899286/614107669229*c_0101_6^8 + 1513680236353/614107669229*c_0101_6^7 - 318671183563/614107669229*c_0101_6^6 + 190693012751/614107669229*c_0101_6^5 - 959856355115/614107669229*c_0101_6^4 - 956020519025/614107669229*c_0101_6^3 + 1262332682432/614107669229*c_0101_6^2 - 1149098603255/614107669229*c_0101_6 - 125305109064/614107669229, c_0101_6^14 - c_0101_6^13 - 19*c_0101_6^12 + 50*c_0101_6^11 - 16*c_0101_6^10 - 24*c_0101_6^9 + 7*c_0101_6^8 - 41*c_0101_6^7 + 49*c_0101_6^6 - 67*c_0101_6^5 + 18*c_0101_6^4 + 3*c_0101_6^3 + 6*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB