Magma V2.19-8 Tue Aug 20 2013 16:14:22 on localhost [Seed = 509575741] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s358 geometric_solution 4.57427952 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340710724666 0.232989082241 2 0 3 0 0132 2310 0132 0132 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 0 0 1 0 -1 0 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659434232534 1.134576882973 1 3 4 3 0132 3201 0132 2310 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 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.266472654347 1.155780290295 2 4 2 1 3201 0132 2310 0132 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 0 0 -1 0 0 1 -1 -1 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.266472654347 1.155780290295 5 3 5 2 0132 0132 2310 0132 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 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 0.438701951402 1.121246545675 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.469478433416 0.141484813760 ==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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), '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_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 92709875289165/28117483494019*c_0101_4^17 - 121877218129411/28117483494019*c_0101_4^16 + 1925167848904942/28117483494019*c_0101_4^15 + 1973302802231554/28117483494019*c_0101_4^14 - 13321539923936415/28117483494019*c_0101_4^13 - 12522649918083187/28117483494019*c_0101_4^12 + 36390143611421219/28117483494019*c_0101_4^11 + 31158562027815663/28117483494019*c_0101_4^10 - 31352625735111478/28117483494019*c_0101_4^9 - 8234237797019077/28117483494019*c_0101_4^8 + 6141220333469061/28117483494019*c_0101_4^7 - 40065478132549030/28117483494019*c_0101_4^6 - 12556032756422082/28117483494019*c_0101_4^5 + 23636996942778851/28117483494019*c_0101_4^4 - 2529700550880946/28117483494019*c_0101_4^3 - 11567468590362484/28117483494019*c_0101_4^2 + 2040766245176358/28117483494019*c_0101_4 + 2971664781543194/28117483494019, c_0011_0 - 1, c_0011_1 + 2471205565479/28117483494019*c_0101_4^17 + 12083644031972/28117483494019*c_0101_4^16 - 33367724853870/28117483494019*c_0101_4^15 - 212436721811512/28117483494019*c_0101_4^14 + 63665850298260/28117483494019*c_0101_4^13 + 1193809340297902/28117483494019*c_0101_4^12 + 684714602222711/28117483494019*c_0101_4^11 - 2007676609324307/28117483494019*c_0101_4^10 - 2050256608925814/28117483494019*c_0101_4^9 - 700674392528401/28117483494019*c_0101_4^8 - 1730849904420507/28117483494019*c_0101_4^7 - 906388588510488/28117483494019*c_0101_4^6 + 1093715985045674/28117483494019*c_0101_4^5 + 166976519162273/28117483494019*c_0101_4^4 - 625717276462516/28117483494019*c_0101_4^3 + 79137324526910/28117483494019*c_0101_4^2 + 251751356061972/28117483494019*c_0101_4 + 22526837805604/28117483494019, c_0011_3 - 17602541298011/28117483494019*c_0101_4^17 + 5517085070427/28117483494019*c_0101_4^16 + 346933179617788/28117483494019*c_0101_4^15 - 193056123183375/28117483494019*c_0101_4^14 - 2034850092403777/28117483494019*c_0101_4^13 + 939134590154194/28117483494019*c_0101_4^12 + 4411845030958494/28117483494019*c_0101_4^11 - 1359474732467446/28117483494019*c_0101_4^10 - 2137636720263464/28117483494019*c_0101_4^9 + 2137442267576587/28117483494019*c_0101_4^8 - 2108933626913351/28117483494019*c_0101_4^7 - 2696194188861421/28117483494019*c_0101_4^6 + 1941532901858290/28117483494019*c_0101_4^5 + 710516696607491/28117483494019*c_0101_4^4 - 1128901696909879/28117483494019*c_0101_4^3 - 47881758505640/28117483494019*c_0101_4^2 + 312685935799423/28117483494019*c_0101_4 + 26880571046452/28117483494019, c_0101_0 - 16701578206403/28117483494019*c_0101_4^17 - 13098035651255/28117483494019*c_0101_4^16 + 312568397350114/28117483494019*c_0101_4^15 + 161560148026511/28117483494019*c_0101_4^14 - 1712429737005732/28117483494019*c_0101_4^13 - 1032210309569741/28117483494019*c_0101_4^12 + 2857892762113778/28117483494019*c_0101_4^11 + 2070289389119303/28117483494019*c_0101_4^10 + 458138636522213/28117483494019*c_0101_4^9 + 2151055829197414/28117483494019*c_0101_4^8 + 695284788706536/28117483494019*c_0101_4^7 - 1513646858787190/28117483494019*c_0101_4^6 - 164861621624295/28117483494019*c_0101_4^5 + 788485577963338/28117483494019*c_0101_4^4 - 102443490465228/28117483494019*c_0101_4^3 - 361296686793256/28117483494019*c_0101_4^2 - 24251359588227/28117483494019*c_0101_4 + 24938285518659/28117483494019, c_0101_1 - 24792895465980/28117483494019*c_0101_4^17 - 17954101875341/28117483494019*c_0101_4^16 + 474631116031396/28117483494019*c_0101_4^15 + 211638714874641/28117483494019*c_0101_4^14 - 2735216190837858/28117483494019*c_0101_4^13 - 1323926528352899/28117483494019*c_0101_4^12 + 5294223030282383/28117483494019*c_0101_4^11 + 2589312109041406/28117483494019*c_0101_4^10 - 1111719893952144/28117483494019*c_0101_4^9 + 3433016488169877/28117483494019*c_0101_4^8 + 611933787340913/28117483494019*c_0101_4^7 - 3537757483007163/28117483494019*c_0101_4^6 + 585232696329356/28117483494019*c_0101_4^5 + 1629845547198570/28117483494019*c_0101_4^4 - 686266455714090/28117483494019*c_0101_4^3 - 496308908032425/28117483494019*c_0101_4^2 + 126824106078272/28117483494019*c_0101_4 + 38005211394894/28117483494019, c_0101_4^18 + c_0101_4^17 - 19*c_0101_4^16 - 14*c_0101_4^15 + 109*c_0101_4^14 + 87*c_0101_4^13 - 205*c_0101_4^12 - 181*c_0101_4^11 + 27*c_0101_4^10 - 95*c_0101_4^9 - 62*c_0101_4^8 + 145*c_0101_4^7 + 36*c_0101_4^6 - 84*c_0101_4^5 + 2*c_0101_4^4 + 38*c_0101_4^3 + c_0101_4^2 - 7*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB