Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 206409995] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3344 geometric_solution 6.49156678 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2103 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 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 0.514614844193 0.488671665656 0 2 4 3 0132 1302 0132 0213 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 -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 0.317233974245 0.949013475024 0 0 5 1 2103 0132 0132 2031 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 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 1.595922143635 1.275915775470 5 6 0 1 0213 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727357403987 0.639240283924 5 5 6 1 1230 0213 2103 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 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 0.456784322615 0.507862461966 3 4 4 2 0213 3012 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400065449855 0.656660400635 4 3 6 6 2103 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.527254611951 0.928562316472 ==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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_4, c_0110_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 802770533405448931978719777/3461689397768944602461761*c_0110_6^16 - 28038696971970386635587513067/3461689397768944602461761*c_0110_6^15 - 139248793900202134295399584859/3461689397768944602461761*c_0110_6\ ^14 - 168786657382275908044500115991/3461689397768944602461761*c_01\ 10_6^13 + 496123476711856355477135291135/3461689397768944602461761*\ c_0110_6^12 + 270420985510675591916182927639/4945270568241349432088\ 23*c_0110_6^11 + 2351408030193683288879161041321/346168939776894460\ 2461761*c_0110_6^10 + 709103641151962455227788925087/34616893977689\ 44602461761*c_0110_6^9 - 2134097697605030932441607970/6774343244166\ 232098751*c_0110_6^8 - 1088024020147411426885651219450/346168939776\ 8944602461761*c_0110_6^7 - 393909136866397055029823700954/346168939\ 7768944602461761*c_0110_6^6 - 146315476627173116716745132777/346168\ 9397768944602461761*c_0110_6^5 + 1302428067418221993851425938/34616\ 89397768944602461761*c_0110_6^4 - 11062564542773705891499169490/346\ 1689397768944602461761*c_0110_6^3 - 116214476367920795878375103803/3461689397768944602461761*c_0110_6^2 - 5869278121954404820422628266/3461689397768944602461761*c_0110_6 + 10539356086841489587898349240/3461689397768944602461761, c_0011_0 - 1, c_0011_3 + 6683555696442170570777/494527056824134943208823*c_0110_6^16 + 224631166252065699779205/494527056824134943208823*c_0110_6^15 + 849443380408741625727183/494527056824134943208823*c_0110_6^14 - 194705367442080825584728/494527056824134943208823*c_0110_6^13 - 6164255108635211021763898/494527056824134943208823*c_0110_6^12 - 10058892648358160866007909/494527056824134943208823*c_0110_6^11 + 2527194908847970768451446/494527056824134943208823*c_0110_6^10 + 21025019983716033405799449/494527056824134943208823*c_0110_6^9 + 219035687616242405258534/6774343244166232098751*c_0110_6^8 - 4186866616048092089469244/494527056824134943208823*c_0110_6^7 - 8227491298758506489624488/494527056824134943208823*c_0110_6^6 - 2752251153124888800911514/494527056824134943208823*c_0110_6^5 - 2540811589651828897966744/494527056824134943208823*c_0110_6^4 - 105408248000844437671639/494527056824134943208823*c_0110_6^3 + 1083805485476263925805784/494527056824134943208823*c_0110_6^2 - 1340640808383775711267724/494527056824134943208823*c_0110_6 + 12134495459901858366656/494527056824134943208823, c_0011_5 + 26239350544122912606198/494527056824134943208823*c_0110_6^16 + 924874905986676491792770/494527056824134943208823*c_0110_6^15 + 4838565053959481162219377/494527056824134943208823*c_0110_6^14 + 6763866064439452104873858/494527056824134943208823*c_0110_6^13 - 15133846773119687801463159/494527056824134943208823*c_0110_6^12 - 66798868176171333133816273/494527056824134943208823*c_0110_6^11 - 92269753395931936277290960/494527056824134943208823*c_0110_6^10 - 41062609240392070911619552/494527056824134943208823*c_0110_6^9 + 393730315996367365435045/6774343244166232098751*c_0110_6^8 + 40219430690791227712588389/494527056824134943208823*c_0110_6^7 + 20149335345242796389414048/494527056824134943208823*c_0110_6^6 + 10130969944061138899237929/494527056824134943208823*c_0110_6^5 + 2576380158202902122182791/494527056824134943208823*c_0110_6^4 + 529807587003170767141101/494527056824134943208823*c_0110_6^3 + 3719807349872278891987937/494527056824134943208823*c_0110_6^2 + 830081990407139751537451/494527056824134943208823*c_0110_6 - 147453430080238958323589/494527056824134943208823, c_0101_0 - 46600689507103370904256/494527056824134943208823*c_0110_6^16 - 1626839516057427411558652/494527056824134943208823*c_0110_6^15 - 8057532697445284519963893/494527056824134943208823*c_0110_6^14 - 9731734622313522273856598/494527056824134943208823*c_0110_6^13 + 28693677832599936210865436/494527056824134943208823*c_0110_6^12 + 109226507783530030153417799/494527056824134943208823*c_0110_6^11 + 135772576787241615454839014/494527056824134943208823*c_0110_6^10 + 42242456168302374871059788/494527056824134943208823*c_0110_6^9 - 821147867603142752860902/6774343244166232098751*c_0110_6^8 - 61360363624110902018795505/494527056824134943208823*c_0110_6^7 - 25531414922844866243946045/494527056824134943208823*c_0110_6^6 - 11704119637863410171311272/494527056824134943208823*c_0110_6^5 + 146638258713797130418933/494527056824134943208823*c_0110_6^4 + 392769937733591544238973/494527056824134943208823*c_0110_6^3 - 6394389457411574785913572/494527056824134943208823*c_0110_6^2 - 25312512096971267942805/494527056824134943208823*c_0110_6 + 312375872052453277560428/494527056824134943208823, c_0101_4 - 1216367105737978718229/494527056824134943208823*c_0110_6^16 - 37149241322402238992654/494527056824134943208823*c_0110_6^15 - 25179655345990012443527/494527056824134943208823*c_0110_6^14 + 657977140962898079423650/494527056824134943208823*c_0110_6^13 + 2009284109307520086882615/494527056824134943208823*c_0110_6^12 + 137874480337825937068399/494527056824134943208823*c_0110_6^11 - 9150837989821748790684221/494527056824134943208823*c_0110_6^10 - 17591003142716165645644690/494527056824134943208823*c_0110_6^9 - 143159628109938580353267/6774343244166232098751*c_0110_6^8 + 5297600582109255079159879/494527056824134943208823*c_0110_6^7 + 9086741253701425800936090/494527056824134943208823*c_0110_6^6 + 3674163486790533304523968/494527056824134943208823*c_0110_6^5 + 1770995515975776293751396/494527056824134943208823*c_0110_6^4 + 709826549890598844233015/494527056824134943208823*c_0110_6^3 - 291361721397236046051159/494527056824134943208823*c_0110_6^2 + 881517235722965459287986/494527056824134943208823*c_0110_6 - 8308400927195780021214/494527056824134943208823, c_0110_2 + 42594146848093829148271/494527056824134943208823*c_0110_6^16 + 1485928228411405770166363/494527056824134943208823*c_0110_6^15 + 7334189590968744480099423/494527056824134943208823*c_0110_6^14 + 8910333994321319847107599/494527056824134943208823*c_0110_6^13 - 25668637047845039080104027/494527056824134943208823*c_0110_6^12 - 98885025011417247697982681/494527056824134943208823*c_0110_6^11 - 125549277675726954492441504/494527056824134943208823*c_0110_6^10 - 44402646042656062377736431/494527056824134943208823*c_0110_6^9 + 676586174509118107093530/6774343244166232098751*c_0110_6^8 + 55861132970621715301314434/494527056824134943208823*c_0110_6^7 + 25125036042593247616953082/494527056824134943208823*c_0110_6^6 + 11590974341811024713115796/494527056824134943208823*c_0110_6^5 + 1133147268872011311177548/494527056824134943208823*c_0110_6^4 + 200184097378045280002112/494527056824134943208823*c_0110_6^3 + 5615951358519038307776461/494527056824134943208823*c_0110_6^2 + 418681204298738418487781/494527056824134943208823*c_0110_6 - 237276686383083425936686/494527056824134943208823, c_0110_6^17 + 35*c_0110_6^16 + 176*c_0110_6^15 + 223*c_0110_6^14 - 602*c_0110_6^13 - 2402*c_0110_6^12 - 3103*c_0110_6^11 - 1106*c_0110_6^10 + 1282*c_0110_6^9 + 1450*c_0110_6^8 + 594*c_0110_6^7 + 223*c_0110_6^6 + 14*c_0110_6^5 + 15*c_0110_6^4 + 146*c_0110_6^3 + 18*c_0110_6^2 - 12*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB