Magma V2.19-8 Tue Aug 20 2013 16:14:22 on localhost [Seed = 3482211309] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s352 geometric_solution 4.56200631 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.308106367081 0.212132956462 0 0 2 2 0132 2310 2310 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 1 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 1.456987106266 1.395199384864 3 1 1 4 0132 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661591823665 0.274651668136 2 4 4 5 0132 1302 3201 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 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 0.399447930074 0.669974853953 3 5 2 3 2310 1023 0132 2031 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 1 -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 0.399447930074 0.669974853953 4 5 3 5 1023 1302 0132 2031 0 0 0 0 0 1 0 -1 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 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 0.004565255729 1.863396240817 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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_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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(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 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_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 298411265180168264622061/15706895819431481388871*c_0101_3^18 + 2258580133259892461920588/15706895819431481388871*c_0101_3^17 + 12778376769273810677259191/15706895819431481388871*c_0101_3^16 - 3294042454663622778702494/15706895819431481388871*c_0101_3^15 - 118469602896094289554908990/15706895819431481388871*c_0101_3^14 - 215795323101453583345815/52182378137646117571*c_0101_3^13 + 386051911894509030043155514/15706895819431481388871*c_0101_3^12 + 372938954608063557239776297/15706895819431481388871*c_0101_3^11 - 13437367134928416772727441/365276646963522822997*c_0101_3^10 - 771141258918260215002586941/15706895819431481388871*c_0101_3^9 + 495884643411013227747199692/15706895819431481388871*c_0101_3^8 + 16729224744490115923249820/365276646963522822997*c_0101_3^7 - 318827293207445352345849755/15706895819431481388871*c_0101_3^6 - 284218072306720294837358038/15706895819431481388871*c_0101_3^5 + 23520271092414576004160122/2243842259918783055553*c_0101_3^4 + 25734316278378634496292815/15706895819431481388871*c_0101_3^3 - 2168726250687345930503934/682908513888325277777*c_0101_3^2 + 4045381509979139285775702/15706895819431481388871*c_0101_3 + 5451578432678477308428568/15706895819431481388871, c_0011_0 - 1, c_0011_2 - 11502719752686019149/15881593346240122739*c_0101_3^18 + 74315517295534701864/15881593346240122739*c_0101_3^17 + 573867882365930337564/15881593346240122739*c_0101_3^16 + 519280080529504014136/15881593346240122739*c_0101_3^15 - 3965772510948811611017/15881593346240122739*c_0101_3^14 - 143297201385622681042/324114149923267811*c_0101_3^13 + 6669861380924362658299/15881593346240122739*c_0101_3^12 + 22438416098663415039764/15881593346240122739*c_0101_3^11 + 4706190177671995754848/15881593346240122739*c_0101_3^10 - 25357559368490845072762/15881593346240122739*c_0101_3^9 - 13965941621006878522975/15881593346240122739*c_0101_3^8 + 11245477826005357684775/15881593346240122739*c_0101_3^7 + 5655930329966852320965/15881593346240122739*c_0101_3^6 - 3059982772558118421638/15881593346240122739*c_0101_3^5 + 41649993852799014013/2268799049462874677*c_0101_3^4 + 1344446564767181215609/15881593346240122739*c_0101_3^3 + 81129172203610711457/15881593346240122739*c_0101_3^2 - 117493947829824068108/15881593346240122739*c_0101_3 + 3263053511616947416/15881593346240122739, c_0011_4 - 18255163281061241101611/15706895819431481388871*c_0101_3^18 + 143894048674202607122028/15706895819431481388871*c_0101_3^17 + 731755484153140356229193/15706895819431481388871*c_0101_3^16 - 393998792907746303465457/15706895819431481388871*c_0101_3^15 - 6923299661222006914531655/15706895819431481388871*c_0101_3^14 - 6212157654490247799252/52182378137646117571*c_0101_3^13 + 22345072398387852701507623/15706895819431481388871*c_0101_3^12 + 14936344280233650122440339/15706895819431481388871*c_0101_3^11 - 795077208761623308046184/365276646963522822997*c_0101_3^10 - 31137164529805998947687170/15706895819431481388871*c_0101_3^9 + 31957485090753701230047153/15706895819431481388871*c_0101_3^8 + 545839155236621861365677/365276646963522822997*c_0101_3^7 - 20733835115907084912819273/15706895819431481388871*c_0101_3^6 - 2787841823391410568800849/15706895819431481388871*c_0101_3^5 + 1070400480746791267995993/2243842259918783055553*c_0101_3^4 - 2566794387213015730446168/15706895819431481388871*c_0101_3^3 - 32147594024267179140293/682908513888325277777*c_0101_3^2 + 273544134641179388143630/15706895819431481388871*c_0101_3 - 14426320604072449763373/15706895819431481388871, c_0101_0 + 25783356418237767791264/15706895819431481388871*c_0101_3^18 - 192528895190130817987699/15706895819431481388871*c_0101_3^17 - 1105138752162909552881210/15706895819431481388871*c_0101_3^16 + 39467782904423915356013/15706895819431481388871*c_0101_3^15 + 9409626357449458484624405/15706895819431481388871*c_0101_3^14 + 21203610150657722440162/52182378137646117571*c_0101_3^13 - 25924348739099324768839684/15706895819431481388871*c_0101_3^12 - 28385430027411751772768855/15706895819431481388871*c_0101_3^11 + 687063585222326484758147/365276646963522822997*c_0101_3^10 + 43674408179288209178728671/15706895819431481388871*c_0101_3^9 - 22789515158011106023932911/15706895819431481388871*c_0101_3^8 - 602943358839720756949881/365276646963522822997*c_0101_3^7 + 18356185408527171511431396/15706895819431481388871*c_0101_3^6 + 2177720240568066753610455/15706895819431481388871*c_0101_3^5 - 1108026203653401849106182/2243842259918783055553*c_0101_3^4 + 2375230126741314464416654/15706895819431481388871*c_0101_3^3 + 12081973841007442757235/682908513888325277777*c_0101_3^2 - 279774503099188590086287/15706895819431481388871*c_0101_3 + 30269627858724594869593/15706895819431481388871, c_0101_1 - 48092620184560868092/15881593346240122739*c_0101_3^18 + 366936263290276432526/15881593346240122739*c_0101_3^17 + 2010978527918251338233/15881593346240122739*c_0101_3^16 - 465524880578358659763/15881593346240122739*c_0101_3^15 - 17904564657086476843962/15881593346240122739*c_0101_3^14 - 1310562330408510355488/2268799049462874677*c_0101_3^13 + 53187596715800196782344/15881593346240122739*c_0101_3^12 + 48178588316133144841779/15881593346240122739*c_0101_3^11 - 70748057643392468261871/15881593346240122739*c_0101_3^10 - 84190396145865013328522/15881593346240122739*c_0101_3^9 + 60773789273094906241032/15881593346240122739*c_0101_3^8 + 57600753458348675532242/15881593346240122739*c_0101_3^7 - 43039855919089922715742/15881593346240122739*c_0101_3^6 - 7640805197921632530517/15881593346240122739*c_0101_3^5 + 2448879826741432793473/2268799049462874677*c_0101_3^4 - 5039958653920989520020/15881593346240122739*c_0101_3^3 - 1478927589168313926868/15881593346240122739*c_0101_3^2 + 599054119686981834920/15881593346240122739*c_0101_3 - 28484497747169235487/15881593346240122739, c_0101_3^19 - 7*c_0101_3^18 - 47*c_0101_3^17 - 14*c_0101_3^16 + 396*c_0101_3^15 + 433*c_0101_3^14 - 1122*c_0101_3^13 - 1859*c_0101_3^12 + 1154*c_0101_3^11 + 3259*c_0101_3^10 - 337*c_0101_3^9 - 2764*c_0101_3^8 + 116*c_0101_3^7 + 1149*c_0101_3^6 - 317*c_0101_3^5 - 212*c_0101_3^4 + 169*c_0101_3^3 + 13*c_0101_3^2 - 13*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB