Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 122067757] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0074 geometric_solution 3.62448154 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 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 1 0 -1 0 0 0 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 0.963424294492 1.986039325008 0 2 2 3 0132 3201 2310 0132 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 2 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.197725329480 0.407598481938 3 1 1 0 1023 3201 2310 0132 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 1 0 -1 0 0 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.197725329480 0.407598481938 4 2 1 4 0132 1023 0132 1023 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 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 0.772684774091 0.978940978077 3 5 5 3 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270568891052 0.189711813132 4 4 6 6 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.880545427072 0.258545039637 6 5 6 5 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.724120479464 0.049544490562 ==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' : negation(d['1']), 's_2_2' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], '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_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 36903008567248500269096263996409856/3018640880115745070681981947139\ *c_0101_5^20 + 507555317165436733604976130323017216/301864088011574\ 5070681981947139*c_0101_5^18 + 948829365623163165188724534725165632\ 0/3018640880115745070681981947139*c_0101_5^16 + 31982236927575731519640967334795553280/3018640880115745070681981947\ 139*c_0101_5^14 + 59678707589588578830891024557666024200/3018640880\ 115745070681981947139*c_0101_5^12 + 68794496088177279095015011840812574164/3018640880115745070681981947\ 139*c_0101_5^10 + 51616225594344385660801550936525347594/3018640880\ 115745070681981947139*c_0101_5^8 + 24183169822893369125843276282173596955/3018640880115745070681981947\ 139*c_0101_5^6 + 879572756643164535662195355474597895/4312344114451\ 06438668854563877*c_0101_5^4 + 19962374140104748910130563470308916/\ 104091064831577416230413170591*c_0101_5^2 + 17899902572503093446958783338762171/3018640880115745070681981947139\ , c_0011_0 - 1, c_0011_2 + 1644841406800961392932315496448/1040910648315774162304131705\ 91*c_0101_5^20 + 22502483597359873876850390544384/10409106483157741\ 6230413170591*c_0101_5^18 + 421266526001005797442098109509632/10409\ 1064831577416230413170591*c_0101_5^16 + 199243152834096742924013654898176/14870152118796773747201881513*c_0\ 101_5^14 + 2557915942373439729730065850831936/104091064831577416230\ 413170591*c_0101_5^12 + 2878765068882305605883915831485648/10409106\ 4831577416230413170591*c_0101_5^10 + 2089333221880692538447263981945236/104091064831577416230413170591*c\ _0101_5^8 + 132048813268594290280334801011814/148701521187967737472\ 01881513*c_0101_5^6 + 206596997844217964828124879298468/10409106483\ 1577416230413170591*c_0101_5^4 + 10613509480704539470618480185574/1\ 04091064831577416230413170591*c_0101_5^2 - 19285416148631735477547144405/104091064831577416230413170591, c_0011_6 - 971448400499780404722408819712/10409106483157741623041317059\ 1*c_0101_5^20 - 13298589945626752259744715495168/104091064831577416\ 230413170591*c_0101_5^18 - 248906044189845736671976229817408/104091\ 064831577416230413170591*c_0101_5^16 - 117963536784681586910311150865824/14870152118796773747201881513*c_0\ 101_5^14 - 1514914016019609084618835942777244/104091064831577416230\ 413170591*c_0101_5^12 - 1704841512946274720524630590706696/10409106\ 4831577416230413170591*c_0101_5^10 - 1236025166398347790298057376281771/104091064831577416230413170591*c\ _0101_5^8 - 77976871042970723706360570332971/1487015211879677374720\ 1881513*c_0101_5^6 - 121465348683937850518528192171698/104091064831\ 577416230413170591*c_0101_5^4 - 6134439322158239380007528698366/104\ 091064831577416230413170591*c_0101_5^2 + 13449013756672961081328776102/104091064831577416230413170591, c_0101_0 - 3637595896270509280983153666560/1040910648315774162304131705\ 91*c_0101_5^21 - 49800330330892743262967193431424/10409106483157741\ 6230413170591*c_0101_5^19 - 932125615361049930162754197357472/10409\ 1064831577416230413170591*c_0101_5^17 - 3093534332533678418271657784391712/104091064831577416230413170591*c\ _0101_5^15 - 5686871418843111490468180476391858/1040910648315774162\ 30413170591*c_0101_5^13 - 6420960144408016055593422744937357/104091\ 064831577416230413170591*c_0101_5^11 - 4681587513179415446192280059900877/104091064831577416230413170591*c\ _0101_5^9 - 2089096770128012112289378355639756/10409106483157741623\ 0413170591*c_0101_5^7 - 477560076524177042828075558119151/104091064\ 831577416230413170591*c_0101_5^5 - 29180955532828422619932195025583/104091064831577416230413170591*c_0\ 101_5^3 - 642080829544279584841649465909/10409106483157741623041317\ 0591*c_0101_5, c_0101_1 - 7443075486515385783426446429184/1040910648315774162304131705\ 91*c_0101_5^21 - 102009787041235826456367965832960/1040910648315774\ 16230413170591*c_0101_5^19 - 1908783249755719157993165949233728/104\ 091064831577416230413170591*c_0101_5^17 - 908310576505418818726893217489184/14870152118796773747201881513*c_0\ 101_5^15 - 11729534932209681895287821068881212/10409106483157741623\ 0413170591*c_0101_5^13 - 13310245639385854239929927679205592/104091\ 064831577416230413170591*c_0101_5^11 - 9771394775695475066843048361002053/104091064831577416230413170591*c\ _0101_5^9 - 630117657641531723952043462722796/148701521187967737472\ 01881513*c_0101_5^7 - 1033118951060028552713057877588726/1040910648\ 31577416230413170591*c_0101_5^5 - 69325679338889974860452886565416/\ 104091064831577416230413170591*c_0101_5^3 - 1004936719549751709212347637027/104091064831577416230413170591*c_01\ 01_5, c_0101_4 - 433033670483641864677741713920/10409106483157741623041317059\ 1*c_0101_5^21 - 5889674112376686990227104742784/1040910648315774162\ 30413170591*c_0101_5^19 - 110444252412566620193316159110560/1040910\ 64831577416230413170591*c_0101_5^17 - 358491046577498060514518221875808/104091064831577416230413170591*c_\ 0101_5^15 - 646890102765964701012874362514178/104091064831577416230\ 413170591*c_0101_5^13 - 714340131837409428403640701958017/104091064\ 831577416230413170591*c_0101_5^11 - 507990697605112167865483706109609/104091064831577416230413170591*c_\ 0101_5^9 - 219169811736354312015368396788491/1040910648315774162304\ 13170591*c_0101_5^7 - 47374834600738137868283072687739/104091064831\ 577416230413170591*c_0101_5^5 - 2740661110059040719973628057811/104\ 091064831577416230413170591*c_0101_5^3 - 303192661630363859106628172652/104091064831577416230413170591*c_010\ 1_5, c_0101_5^22 + 55/4*c_0101_5^20 + 4113/16*c_0101_5^18 + 13851/16*c_0101_5^16 + 413157/256*c_0101_5^14 + 951325/512*c_0101_5^12 + 712497/512*c_0101_5^10 + 332785/512*c_0101_5^8 + 42067/256*c_0101_5^6 + 7701/512*c_0101_5^4 + 27/64*c_0101_5^2 - 1/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB