Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 1629551879] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s757 geometric_solution 5.29375158 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 2310 0132 0132 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 1 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 0.835022077953 0.901245007490 0 3 2 0 0132 3012 3012 3201 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774775623408 0.809399112526 3 1 4 0 1302 1230 0132 0132 0 0 0 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 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 0.457941374267 0.702877612679 1 2 0 4 1230 2031 0132 3201 0 0 0 0 0 -1 1 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 -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 0.457941374267 0.702877612679 5 3 5 2 0132 2310 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666448965477 1.694253057509 4 5 4 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423605400502 0.175464161002 ==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' : 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' : 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' : negation(d['1']), 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 124847591296322/18526885993*c_0101_4^16 - 4521574149957006/129688201951*c_0101_4^15 - 8039134365285285/129688201951*c_0101_4^14 + 101963065176645/11789836541*c_0101_4^13 + 19909640765326231/129688201951*c_0101_4^12 + 721057515721803/23579673082*c_0101_4^11 - 11644582700418279/23579673082*c_0101_4^10 - 104859847438912326/129688201951*c_0101_4^9 - 49367127033738275/129688201951*c_0101_4^8 + 26200227019488989/259376403902*c_0101_4^7 + 19013620718251741/259376403902*c_0101_4^6 + 5309413490074321/259376403902*c_0101_4^5 + 11159126291507536/129688201951*c_0101_4^4 + 7077548829121605/129688201951*c_0101_4^3 - 782340890090145/259376403902*c_0101_4^2 - 1193039830053339/129688201951*c_0101_4 - 226473637924803/129688201951, c_0011_0 - 1, c_0011_2 - 23809582033/3954699*c_0101_4^16 - 873736658993/27682893*c_0101_4^15 - 1587161843207/27682893*c_0101_4^14 + 132477744011/27682893*c_0101_4^13 + 3846124809670/27682893*c_0101_4^12 + 992192149034/27682893*c_0101_4^11 - 12265305930646/27682893*c_0101_4^10 - 20804988105389/27682893*c_0101_4^9 - 10429460989121/27682893*c_0101_4^8 + 2279123360870/27682893*c_0101_4^7 + 2052788668963/27682893*c_0101_4^6 + 518714666896/27682893*c_0101_4^5 + 719808612266/9227631*c_0101_4^4 + 493190795086/9227631*c_0101_4^3 - 37813703435/27682893*c_0101_4^2 - 245693361265/27682893*c_0101_4 - 49757546744/27682893, c_0011_4 + 20700465592/3954699*c_0101_4^16 + 761761986863/27682893*c_0101_4^15 + 1389920170430/27682893*c_0101_4^14 - 100181188169/27682893*c_0101_4^13 - 3353341812661/27682893*c_0101_4^12 - 906651658055/27682893*c_0101_4^11 + 10673819301784/27682893*c_0101_4^10 + 18238915789952/27682893*c_0101_4^9 + 9254183797427/27682893*c_0101_4^8 - 1945425054932/27682893*c_0101_4^7 - 1832602514980/27682893*c_0101_4^6 - 452815818499/27682893*c_0101_4^5 - 627757718276/9227631*c_0101_4^4 - 436903153513/9227631*c_0101_4^3 + 26614423604/27682893*c_0101_4^2 + 217302739006/27682893*c_0101_4 + 44510047625/27682893, c_0101_0 + 13612542641125/15158361267*c_0101_4^16 + 489813629727917/106108528869*c_0101_4^15 + 862877293968176/106108528869*c_0101_4^14 - 138759487490165/106108528869*c_0101_4^13 - 2149047869201734/106108528869*c_0101_4^12 - 375372512484317/106108528869*c_0101_4^11 + 6942476011278697/106108528869*c_0101_4^10 + 11223565504800392/106108528869*c_0101_4^9 + 5194726919204411/106108528869*c_0101_4^8 - 1396445665512983/106108528869*c_0101_4^7 - 973510011658852/106108528869*c_0101_4^6 - 311064246385285/106108528869*c_0101_4^5 - 398838838481291/35369509623*c_0101_4^4 - 248155717196860/35369509623*c_0101_4^3 + 39623877537947/106108528869*c_0101_4^2 + 125476088689789/106108528869*c_0101_4 + 24192710155961/106108528869, c_0101_1 + 55462250858942/15158361267*c_0101_4^16 + 2055384752757748/106108528869*c_0101_4^15 + 3794173732862830/106108528869*c_0101_4^14 - 157594653712921/106108528869*c_0101_4^13 - 9038465782695428/106108528869*c_0101_4^12 - 2742975701935300/106108528869*c_0101_4^11 + 28631435898970811/106108528869*c_0101_4^10 + 49920177013777519/106108528869*c_0101_4^9 + 26196911601776836/106108528869*c_0101_4^8 - 4850988663298684/106108528869*c_0101_4^7 - 5255652038571317/106108528869*c_0101_4^6 - 1256835517962476/106108528869*c_0101_4^5 - 1689860543592703/35369509623*c_0101_4^4 - 1230591599901050/35369509623*c_0101_4^3 + 12830734338868/106108528869*c_0101_4^2 + 609438007151903/106108528869*c_0101_4 + 129857169964132/106108528869, c_0101_4^17 + 40/7*c_0101_4^16 + 12*c_0101_4^15 + 26/7*c_0101_4^14 - 164/7*c_0101_4^13 - 118/7*c_0101_4^12 + 495/7*c_0101_4^11 + 1117/7*c_0101_4^10 + 852/7*c_0101_4^9 + 113/7*c_0101_4^8 - 131/7*c_0101_4^7 - 9*c_0101_4^6 - 101/7*c_0101_4^5 - 15*c_0101_4^4 - 4*c_0101_4^3 + 11/7*c_0101_4^2 + c_0101_4 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB