Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 3448525065] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0450 geometric_solution 4.49148421 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 1023 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 2.430472357003 0.167307112427 0 2 2 0 0132 0132 3201 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.804335049061 0.378096271397 1 1 3 3 2310 0132 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 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 0.277423053355 0.230689920243 4 2 5 2 0132 2310 0132 0132 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 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 0.979868491130 0.768489598915 3 6 5 5 0132 0132 3012 1230 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 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 1.248279167382 1.145571766752 4 4 6 3 3012 1230 0132 0132 0 0 0 0 0 -1 0 1 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 0 1 -1 -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 1.248279167382 1.145571766752 6 4 6 5 2031 0132 1302 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 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 0.400401231412 0.610184427750 ==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_2_6' : d['1'], 's_1_6' : 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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 1619021921622573626321157398122/12878947772349914693643925067*c_010\ 1_5^27 + 45185581698649792797370052911944/1287894777234991469364392\ 5067*c_0101_5^25 + 225907292941212116154765501839243/12878947772349\ 914693643925067*c_0101_5^23 + 498191186379573438679493203327963/128\ 78947772349914693643925067*c_0101_5^21 - 5331237785270203280666532087842597/12878947772349914693643925067*c_\ 0101_5^19 + 10490133482904759446307482115687200/1287894777234991469\ 3643925067*c_0101_5^17 - 13896668080445511088277860709284775/128789\ 47772349914693643925067*c_0101_5^15 + 15130130253698890645967616055337075/12878947772349914693643925067*c\ _0101_5^13 - 9746734018395482842835844192997644/1287894777234991469\ 3643925067*c_0101_5^11 + 4646594958844757784413201515520709/1287894\ 7772349914693643925067*c_0101_5^9 - 1228129620175929493323306037836519/12878947772349914693643925067*c_\ 0101_5^7 - 257252736141892204261693771758357/1287894777234991469364\ 3925067*c_0101_5^5 - 88194939695476793929351906823760/1287894777234\ 9914693643925067*c_0101_5^3 + 17526628379045052021378172604876/1287\ 8947772349914693643925067*c_0101_5, c_0011_0 - 1, c_0011_3 + 991854725288028509191774907/12878947772349914693643925067*c_\ 0101_5^26 - 27687962921005043546698861029/1287894777234991469364392\ 5067*c_0101_5^24 - 138249607109847351099523617124/12878947772349914\ 693643925067*c_0101_5^22 - 303706411546766709292678130131/128789477\ 72349914693643925067*c_0101_5^20 + 3271371332413858519478954446983/12878947772349914693643925067*c_010\ 1_5^18 - 6438857628842595854821352032652/12878947772349914693643925\ 067*c_0101_5^16 + 8476788799555892132443376212891/12878947772349914\ 693643925067*c_0101_5^14 - 9191182780393811909347664996820/12878947\ 772349914693643925067*c_0101_5^12 + 5901329633832358308930483668313/12878947772349914693643925067*c_010\ 1_5^10 - 2781703978686008240815302836999/12878947772349914693643925\ 067*c_0101_5^8 + 730256951485158160786088755808/1287894777234991469\ 3643925067*c_0101_5^6 + 144024153670777166203275374950/128789477723\ 49914693643925067*c_0101_5^4 + 63740863566223150098812564562/128789\ 47772349914693643925067*c_0101_5^2 - 4653819537570618806228008912/12878947772349914693643925067, c_0011_5 - 1754043202228588151993977134/12878947772349914693643925067*c\ _0101_5^26 + 48939118886108283837200735890/128789477723499146936439\ 25067*c_0101_5^24 + 245181237543203781490321792940/1287894777234991\ 4693643925067*c_0101_5^22 + 541210502290675315390936966825/12878947\ 772349914693643925067*c_0101_5^20 - 5774085875127019717033880017071/12878947772349914693643925067*c_010\ 1_5^18 + 11311213504063791527701747355445/1287894777234991469364392\ 5067*c_0101_5^16 - 14885022004078220647058667890700/128789477723499\ 14693643925067*c_0101_5^14 + 16118815658555140645931874255399/12878\ 947772349914693643925067*c_0101_5^12 - 10270627050124090805237456603962/12878947772349914693643925067*c_01\ 01_5^10 + 4786668862045779805112861948389/1287894777234991469364392\ 5067*c_0101_5^8 - 1185244157908710162336922925410/12878947772349914\ 693643925067*c_0101_5^6 - 316325531768968060140521122270/1287894777\ 2349914693643925067*c_0101_5^4 - 81151446587892615566791249299/1287\ 8947772349914693643925067*c_0101_5^2 + 13815782368096711863552761974/12878947772349914693643925067, c_0101_0 - 18468070052181020442193266025/12878947772349914693643925067*\ c_0101_5^27 + 515075985391907466751394846414/1287894777234991469364\ 3925067*c_0101_5^25 + 2586717661252556891756767189420/1287894777234\ 9914693643925067*c_0101_5^23 + 5733065669286364505481998023101/1287\ 8947772349914693643925067*c_0101_5^21 - 60698468227520880822410303493451/12878947772349914693643925067*c_01\ 01_5^19 + 118513909035902505685163537902251/12878947772349914693643\ 925067*c_0101_5^17 - 156347267639878606498238401058766/128789477723\ 49914693643925067*c_0101_5^15 + 169697886571288220803770438205947/1\ 2878947772349914693643925067*c_0101_5^13 - 107983735498094501426712735305224/12878947772349914693643925067*c_0\ 101_5^11 + 50956763060967598757203949264709/12878947772349914693643\ 925067*c_0101_5^9 - 12955148506899803283126462200194/12878947772349\ 914693643925067*c_0101_5^7 - 3258063952276432866261201055476/128789\ 47772349914693643925067*c_0101_5^5 - 1034250179172820906739510039503/12878947772349914693643925067*c_010\ 1_5^3 + 177152277868275574286499265555/1287894777234991469364392506\ 7*c_0101_5, c_0101_1 + 33001237293647146970463142/12878947772349914693643925067*c_0\ 101_5^26 - 766720193224821933685583805/1287894777234991469364392506\ 7*c_0101_5^24 - 8915222488068767499135424996/1287894777234991469364\ 3925067*c_0101_5^22 - 31575307932446488220117873045/128789477723499\ 14693643925067*c_0101_5^20 + 61366925133739564151782837309/12878947\ 772349914693643925067*c_0101_5^18 + 293233535114847709075028565402/12878947772349914693643925067*c_0101\ _5^16 - 734742883966339049640140868127/1287894777234991469364392506\ 7*c_0101_5^14 + 1073258204840729768269262871422/1287894777234991469\ 3643925067*c_0101_5^12 - 1289318234740707876068386307346/1287894777\ 2349914693643925067*c_0101_5^10 + 862600084703243722959715560058/12\ 878947772349914693643925067*c_0101_5^8 - 433544799369120130364299824874/12878947772349914693643925067*c_0101\ _5^6 + 86007401823887653646623769603/12878947772349914693643925067*\ c_0101_5^4 + 41624083675117965913464139429/128789477723499146936439\ 25067*c_0101_5^2 + 4120217692687565946902123915/1287894777234991469\ 3643925067, c_0101_2 - 5428355032539939366237773915/12878947772349914693643925067*c\ _0101_5^27 + 151426778126931402006455395333/12878947772349914693643\ 925067*c_0101_5^25 + 759538923739768891759885838633/128789477723499\ 14693643925067*c_0101_5^23 + 1679786455552576761726028246764/128789\ 47772349914693643925067*c_0101_5^21 - 17856235126445825063140410459036/12878947772349914693643925067*c_01\ 01_5^19 + 34919888092314628553769213300789/128789477723499146936439\ 25067*c_0101_5^17 - 45999222075208820346618865052426/12878947772349\ 914693643925067*c_0101_5^15 + 49832900316983250678042881295667/1287\ 8947772349914693643925067*c_0101_5^13 - 31631816772549927841837482531697/12878947772349914693643925067*c_01\ 01_5^11 + 14741673003101272516839953206478/128789477723499146936439\ 25067*c_0101_5^9 - 3620501085273878474349916641305/1287894777234991\ 4693643925067*c_0101_5^7 - 1046623755088488474411556680866/12878947\ 772349914693643925067*c_0101_5^5 - 259954492807493126111463999179/12878947772349914693643925067*c_0101\ _5^3 + 52778782197961791156286024176/12878947772349914693643925067*\ c_0101_5, c_0101_5^28 - 28*c_0101_5^26 - 137*c_0101_5^24 - 295*c_0101_5^22 + 3321*c_0101_5^20 - 6778*c_0101_5^18 + 9167*c_0101_5^16 - 10114*c_0101_5^14 + 6854*c_0101_5^12 - 3400*c_0101_5^10 + 1007*c_0101_5^8 + 96*c_0101_5^6 + 38*c_0101_5^4 - 16*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB