Magma V2.19-8 Tue Aug 20 2013 16:17:20 on localhost [Seed = 3903419424] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1570 geometric_solution 5.35173457 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 -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 1.507944263099 0.261629441926 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 1 0 -1 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 -1 1 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 1.114072338818 0.365362361273 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 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 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653050063797 0.391095471133 2 5 4 6 0132 0132 3201 0132 0 0 0 0 0 1 0 -1 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 0.360388821549 1.002999759094 3 6 2 5 2310 0132 0132 1023 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 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 0.360388821549 1.002999759094 5 3 5 4 2031 0132 1302 1023 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 0 0 0.535531714486 0.387138673750 6 4 3 6 3201 0132 0132 2310 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 -0.317274788550 0.883008898873 ==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_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 106208853070326/331178724347*c_0110_5^24 - 3098386510040065/331178724347*c_0110_5^22 + 35564927265943213/331178724347*c_0110_5^20 - 209319301935110600/331178724347*c_0110_5^18 + 714163210352056002/331178724347*c_0110_5^16 - 1564866368860899869/331178724347*c_0110_5^14 + 2268158699370358466/331178724347*c_0110_5^12 - 2214035972427055149/331178724347*c_0110_5^10 + 1453170823820989154/331178724347*c_0110_5^8 - 612902921813681228/331178724347*c_0110_5^6 + 147611006576362384/331178724347*c_0110_5^4 - 15300499897959624/331178724347*c_0110_5^2 + 166127350063651/331178724347, c_0011_0 - 1, c_0011_1 - 1046020649005/331178724347*c_0110_5^24 + 30037216638653/331178724347*c_0110_5^22 - 336705802401107/331178724347*c_0110_5^20 + 1912239035486414/331178724347*c_0110_5^18 - 6209884385292133/331178724347*c_0110_5^16 + 12849574251371895/331178724347*c_0110_5^14 - 17318687922804134/331178724347*c_0110_5^12 + 15549694600137763/331178724347*c_0110_5^10 - 9253285847416209/331178724347*c_0110_5^8 + 3441596633432651/331178724347*c_0110_5^6 - 702928035102008/331178724347*c_0110_5^4 + 59042084283376/331178724347*c_0110_5^2 - 357800126868/331178724347, c_0011_4 - 18213668100272/331178724347*c_0110_5^25 + 530749984767347/331178724347*c_0110_5^23 - 6082287476381967/331178724347*c_0110_5^21 + 35712449964596389/331178724347*c_0110_5^19 - 121461935944308844/331178724347*c_0110_5^17 + 265232176352725566/331178724347*c_0110_5^15 - 382870373626524545/331178724347*c_0110_5^13 + 372126944272277692/331178724347*c_0110_5^11 - 243105261958434523/331178724347*c_0110_5^9 + 101958537388643931/331178724347*c_0110_5^7 - 24368759727234343/331178724347*c_0110_5^5 + 2482373437531174/331178724347*c_0110_5^3 - 18232475046627/331178724347*c_0110_5, c_0101_0 - 23754000036075/331178724347*c_0110_5^25 + 692982196233952/331178724347*c_0110_5^23 - 7954775586371513/331178724347*c_0110_5^21 + 46822351107694265/331178724347*c_0110_5^19 - 159776556850822257/331178724347*c_0110_5^17 + 350196560577752027/331178724347*c_0110_5^15 - 507802250930771608/331178724347*c_0110_5^13 + 496012406459371576/331178724347*c_0110_5^11 - 325850347884758365/331178724347*c_0110_5^9 + 137608782318586436/331178724347*c_0110_5^7 - 33198690392554751/331178724347*c_0110_5^5 + 3440800972668050/331178724347*c_0110_5^3 - 33049826402669/331178724347*c_0110_5, c_0101_2 + 23008567369349/331178724347*c_0110_5^25 - 671824469452882/331178724347*c_0110_5^23 + 7721911808517792/331178724347*c_0110_5^21 - 45538410330746663/331178724347*c_0110_5^19 + 155792321866941043/331178724347*c_0110_5^17 - 342436693097772218/331178724347*c_0110_5^15 + 498238680500491398/331178724347*c_0110_5^13 - 488435709821968413/331178724347*c_0110_5^11 + 322069264705100924/331178724347*c_0110_5^9 - 136539968708526877/331178724347*c_0110_5^7 + 33036518068322013/331178724347*c_0110_5^5 - 3406036202838776/331178724347*c_0110_5^3 + 26191896415627/331178724347*c_0110_5, c_0101_3 - 20125929130062/331178724347*c_0110_5^24 + 587294060761653/331178724347*c_0110_5^22 - 6744173565158620/331178724347*c_0110_5^20 + 39718768148401047/331178724347*c_0110_5^18 - 135634342394655949/331178724347*c_0110_5^16 + 297508426273387682/331178724347*c_0110_5^14 - 431769846891388625/331178724347*c_0110_5^12 + 422078316793669256/331178724347*c_0110_5^10 - 277455786288258775/331178724347*c_0110_5^8 + 117208875813279233/331178724347*c_0110_5^6 - 28251807666949580/331178724347*c_0110_5^4 + 2909155966898737/331178724347*c_0110_5^2 - 24367980447098/331178724347, c_0110_5^26 - 30*c_0110_5^24 + 359*c_0110_5^22 - 2248*c_0110_5^20 + 8356*c_0110_5^18 - 20304*c_0110_5^16 + 33567*c_0110_5^14 - 38556*c_0110_5^12 + 30980*c_0110_5^10 - 17130*c_0110_5^8 + 6182*c_0110_5^6 - 1297*c_0110_5^4 + 120*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB