Magma V2.19-8 Tue Aug 20 2013 16:16:48 on localhost [Seed = 896838114] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1074 geometric_solution 4.94666004 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 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 -0.149502175592 0.080065047988 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.332288621185 2.723475300890 3 1 1 4 0132 3201 0132 0132 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 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 -0.112244465829 0.421675260525 2 4 6 5 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521517902499 0.868520366561 6 5 2 3 1023 0132 0132 3201 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 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 0.521517902499 0.868520366561 5 4 3 5 3012 0132 0132 1230 0 0 0 0 0 -1 0 1 -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 0 0 0 0 1 0 -1 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 0 0 0 0.982336251647 0.600329386854 6 4 6 3 2031 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.728967280692 0.430024633739 ==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' : 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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], '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_6' : negation(d['c_0011_4']), '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0110_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_4'], '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_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0110_4']), '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 8 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, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 20180578391296594492831452125895/74236768033997012372994606917*c_01\ 10_4^20 + 904187407192001569030554875016387/14847353606799402474598\ 9213834*c_0110_4^18 + 5436090840030265903975564402224459/1484735360\ 67994024745989213834*c_0110_4^16 + 8709273512123710420721276619338645/296947072135988049491978427668*c\ _0110_4^14 - 209574049607901611639697536226099801/29694707213598804\ 9491978427668*c_0110_4^12 - 1151504156586524391420077838297734775/5\ 93894144271976098983956855336*c_0110_4^10 - 681492330840298868501242009094763497/593894144271976098983956855336\ *c_0110_4^8 + 286254523671158808793568114229388755/5938941442719760\ 98983956855336*c_0110_4^6 + 126297562644688658646983982259816315/59\ 3894144271976098983956855336*c_0110_4^4 + 54478958905106047784839523837093115/2375576577087904395935827421344\ *c_0110_4^2 - 107181893766094083338923344125692/7423676803399701237\ 2994606917, c_0011_0 - 1, c_0011_2 + 576111935349973330697096608/74236768033997012372994606917*c_\ 0110_4^20 - 12756534943513298214004553488/7423676803399701237299460\ 6917*c_0110_4^18 - 80992177743466845645906289264/742367680339970123\ 72994606917*c_0110_4^16 - 81296945064682334215102311128/74236768033\ 997012372994606917*c_0110_4^14 + 1483630879073599981163089890784/74\ 236768033997012372994606917*c_0110_4^12 + 4493614556695605392481209737524/74236768033997012372994606917*c_011\ 0_4^10 + 3386023221558706563042045957580/74236768033997012372994606\ 917*c_0110_4^8 - 504433834629990134222009797864/7423676803399701237\ 2994606917*c_0110_4^6 - 494120372149932430603547597608/742367680339\ 97012372994606917*c_0110_4^4 + 11774277268392710744562605565/742367\ 68033997012372994606917*c_0110_4^2 - 30496557979063508327356969368/74236768033997012372994606917, c_0011_4 - 61728563119340474581779289976/74236768033997012372994606917*\ c_0110_4^21 + 1386930370597307124436837649084/742367680339970123729\ 94606917*c_0110_4^19 + 8222977626975108628165795822948/742367680339\ 97012372994606917*c_0110_4^17 + 6113531391525326710219626559570/742\ 36768033997012372994606917*c_0110_4^15 - 160698538241080657946957126963806/74236768033997012372994606917*c_0\ 110_4^13 - 429738327218855100490310659774227/7423676803399701237299\ 4606917*c_0110_4^11 - 231655215633468901486561470289103/74236768033\ 997012372994606917*c_0110_4^9 + 126594382674094360090444714856053/7\ 4236768033997012372994606917*c_0110_4^7 + 41206416972422829347868666756641/74236768033997012372994606917*c_01\ 10_4^5 + 8029778787135484558909999656907/29694707213598804949197842\ 7668*c_0110_4^3 - 1466842068350322867723735012685/14847353606799402\ 4745989213834*c_0110_4, c_0101_0 + 12838121655509843255107377512/74236768033997012372994606917*\ c_0110_4^20 - 288652454045073584385925243172/7423676803399701237299\ 4606917*c_0110_4^18 - 1705725696089791329997866663508/7423676803399\ 7012372994606917*c_0110_4^16 - 1242335763367537824051831242654/7423\ 6768033997012372994606917*c_0110_4^14 + 33453145741136296305343632454542/74236768033997012372994606917*c_01\ 10_4^12 + 88853376457996088663377950698797/742367680339970123729946\ 06917*c_0110_4^10 + 46529112921020445051876723509207/74236768033997\ 012372994606917*c_0110_4^8 - 27640321378175516103812399014477/74236\ 768033997012372994606917*c_0110_4^6 - 8408767370835986615899050914703/74236768033997012372994606917*c_011\ 0_4^4 - 975413467248101230814856914937/2969470721359880494919784276\ 68*c_0110_4^2 + 152813085525266407871754981021/74236768033997012372\ 994606917, c_0101_1 - 23369828970188267175597308392/74236768033997012372994606917*\ c_0110_4^20 + 524695073177318758226705301380/7423676803399701237299\ 4606917*c_0110_4^18 + 3121809558496359188826852406148/7423676803399\ 7012372994606917*c_0110_4^16 + 2364099075965173944272662169326/7423\ 6768033997012372994606917*c_0110_4^14 - 60807230101142646909072392582230/74236768033997012372994606917*c_01\ 10_4^12 - 163689591779905654935669740620301/74236768033997012372994\ 606917*c_0110_4^10 - 90210025326535763116285567002951/7423676803399\ 7012372994606917*c_0110_4^8 + 46707732908724427468330312740697/7423\ 6768033997012372994606917*c_0110_4^6 + 16266658385681227004408664701589/74236768033997012372994606917*c_01\ 10_4^4 + 3526032483099184913979554840393/29694707213598804949197842\ 7668*c_0110_4^2 - 205984671836050407364244717743/742367680339970123\ 72994606917, c_0101_3 + 12807892204908947695542906184/74236768033997012372994606917*\ c_0110_4^20 - 287754369342840555933905572436/7423676803399701237299\ 4606917*c_0110_4^18 - 1706528830555606919554688395748/7423676803399\ 7012372994606917*c_0110_4^16 - 1270472963170604846179615931766/7423\ 6768033997012372994606917*c_0110_4^14 + 33341019439723638166046856505702/74236768033997012372994606917*c_01\ 10_4^12 + 89204851913069260780651005726129/742367680339970123729946\ 06917*c_0110_4^10 + 48169462984065656379731154425419/74236768033997\ 012372994606917*c_0110_4^8 - 26148068665705902266875523582673/74236\ 768033997012372994606917*c_0110_4^6 - 8587406035411441284871867982175/74236768033997012372994606917*c_011\ 0_4^4 - 2165360494240844143400228288957/296947072135988049491978427\ 668*c_0110_4^2 + 150464867227010997937360177459/7423676803399701237\ 2994606917, c_0110_4^22 - 45/2*c_0110_4^20 - 265/2*c_0110_4^18 - 379/4*c_0110_4^16 + 10427/4*c_0110_4^14 + 55033/8*c_0110_4^12 + 28203/8*c_0110_4^10 - 17473/8*c_0110_4^8 - 4865/8*c_0110_4^6 - 253/32*c_0110_4^4 + 105/8*c_0110_4^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB