Magma V2.19-8 Wed Aug 21 2013 00:55:03 on localhost [Seed = 88285024] Type ? for help. Type -D to quit. Loading file "L12n890__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n890 geometric_solution 12.36876059 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 0 0 0 -1 1 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 3 0 0 -1 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631829481373 0.809660923616 0 4 6 5 0132 2103 0132 0132 0 0 0 1 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 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877001395929 0.496495864741 7 0 7 8 0132 0132 3012 0132 0 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 0 0 0 0 0 1 -1 0 -1 0 0 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 0.465390417717 1.023461728701 9 8 8 0 0132 3120 2103 0132 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 -2 2 0 0 -1 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400972829990 0.767626244168 10 1 0 9 0132 2103 0132 0213 0 0 0 1 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 0 2 -3 1 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 0.942514434138 1.579821495379 11 11 1 12 0132 1230 0132 0132 0 0 1 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 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476194171418 0.703800842782 10 12 8 1 3120 2031 2031 0132 0 0 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.141598634733 0.717442285504 2 2 10 11 0132 1230 0321 2031 0 0 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 0 0 0 0 0 0 0 2 -2 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400972829990 0.767626244168 3 3 2 6 2103 3120 0132 1302 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 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465390417717 1.023461728701 3 12 11 4 0132 2310 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440351148054 0.617711629362 4 12 7 6 0132 0132 0321 3120 0 0 1 0 0 1 -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 0 0 0 0 0 2 -2 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 0.240043428630 0.455133668783 5 7 5 9 0132 1302 3012 0132 0 0 0 1 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 1 0 -1 0 0 0 0 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340539441198 0.974663120474 6 10 5 9 1302 0132 0132 3201 0 0 0 1 0 -1 0 1 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 -2 0 2 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689494824395 1.356991482656 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_12']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_0011_8']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_6'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0110_12']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0110_12']), 'c_1100_3' : negation(d['c_0110_12']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : negation(d['c_0011_3']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_3'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0110_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_12, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 261653458297115/15725017465443*c_1001_5^5 + 61368796923957641/613275681152277*c_1001_5^4 - 475792788661480522/1839827043456831*c_1001_5^3 + 18306987086387716/55752334650207*c_1001_5^2 - 405315455776903162/1839827043456831*c_1001_5 + 115721585937979211/1839827043456831, c_0011_0 - 1, c_0011_10 + 69581967/5446001*c_1001_5^5 - 452448146/5446001*c_1001_5^4 + 345828038/1485273*c_1001_5^3 - 1795836628/5446001*c_1001_5^2 + 4018268809/16338003*c_1001_5 - 1316288537/16338003, c_0011_11 + 121479579/5446001*c_1001_5^5 - 736087452/5446001*c_1001_5^4 + 1924111657/5446001*c_1001_5^3 - 226127958/495091*c_1001_5^2 + 1704649362/5446001*c_1001_5 - 481089781/5446001, c_0011_3 + 29952/29123*c_1001_5^5 - 162111/29123*c_1001_5^4 + 350315/29123*c_1001_5^3 - 311587/29123*c_1001_5^2 + 101657/29123*c_1001_5 - 2708/29123, c_0011_6 + 7907640/5446001*c_1001_5^5 - 42763499/5446001*c_1001_5^4 + 287892832/16338003*c_1001_5^3 - 92493791/5446001*c_1001_5^2 + 102748201/16338003*c_1001_5 + 18208516/16338003, c_0011_8 - 855777/495091*c_1001_5^5 + 56357849/5446001*c_1001_5^4 - 413264548/16338003*c_1001_5^3 + 153383140/5446001*c_1001_5^2 - 227869696/16338003*c_1001_5 + 38289470/16338003, c_0101_0 - 1, c_0101_1 - 106849275/5446001*c_1001_5^5 + 675501659/5446001*c_1001_5^4 - 5527051141/16338003*c_1001_5^3 + 2525814239/5446001*c_1001_5^2 - 5506178809/16338003*c_1001_5 + 1752096689/16338003, c_0101_10 - 4546308/5446001*c_1001_5^5 + 33852352/5446001*c_1001_5^4 - 309197333/16338003*c_1001_5^3 + 157944037/5446001*c_1001_5^2 - 366575666/16338003*c_1001_5 + 127100899/16338003, c_0101_6 - 11004240/5446001*c_1001_5^5 + 71839711/5446001*c_1001_5^4 - 599593505/16338003*c_1001_5^3 + 275650335/5446001*c_1001_5^2 - 579627581/16338003*c_1001_5 + 181792663/16338003, c_0110_12 - 688077/495091*c_1001_5^5 + 43267974/5446001*c_1001_5^4 - 101866870/5446001*c_1001_5^3 + 104130886/5446001*c_1001_5^2 - 40864344/5446001*c_1001_5 - 2281231/5446001, c_1001_10 - 29952/29123*c_1001_5^5 + 162111/29123*c_1001_5^4 - 350315/29123*c_1001_5^3 + 311587/29123*c_1001_5^2 - 101657/29123*c_1001_5 - 26415/29123, c_1001_5^6 - 274/39*c_1001_5^5 + 2546/117*c_1001_5^4 - 4226/117*c_1001_5^3 + 4040/117*c_1001_5^2 - 709/39*c_1001_5 + 37/9 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_12, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3678154510703285/9431157113488*c_1001_5^8 - 14497917115068115/9431157113488*c_1001_5^7 + 27725800406621745/9431157113488*c_1001_5^6 - 32461744009188325/9431157113488*c_1001_5^5 + 2271491101390811/857377919408*c_1001_5^4 - 12921272486348475/9431157113488*c_1001_5^3 + 1395510791626631/2357789278372*c_1001_5^2 - 7109171437195/53586119963*c_1001_5 + 63193600348687/589447319593, c_0011_0 - 1, c_0011_10 - 1048097843189/2357789278372*c_1001_5^8 + 7249209410673/2357789278372*c_1001_5^7 - 30754507053901/2357789278372*c_1001_5^6 + 67729455978255/2357789278372*c_1001_5^5 - 7890975789203/214344479852*c_1001_5^4 + 68847862049345/2357789278372*c_1001_5^3 - 8125160801359/589447319593*c_1001_5^2 + 191241719725/53586119963*c_1001_5 - 868509311717/589447319593, c_0011_11 + 1712785444333/1178894639186*c_1001_5^8 - 26545089692085/2357789278372*c_1001_5^7 + 79768379424867/2357789278372*c_1001_5^6 - 126598407332863/2357789278372*c_1001_5^5 + 10651852611911/214344479852*c_1001_5^4 - 59114825780003/2357789278372*c_1001_5^3 + 10459612221693/2357789278372*c_1001_5^2 - 43247058069/107172239926*c_1001_5 + 652458707129/589447319593, c_0011_3 + 4212094908157/1178894639186*c_1001_5^8 - 9773773634535/589447319593*c_1001_5^7 + 22077256113646/589447319593*c_1001_5^6 - 30916384110094/589447319593*c_1001_5^5 + 2567574588631/53586119963*c_1001_5^4 - 16991454321830/589447319593*c_1001_5^3 + 14454158030341/1178894639186*c_1001_5^2 - 203763139746/53586119963*c_1001_5 + 833011167793/589447319593, c_0011_6 + 6497845615945/2357789278372*c_1001_5^8 - 8870433667892/589447319593*c_1001_5^7 + 38496968702603/1178894639186*c_1001_5^6 - 22473506899610/589447319593*c_1001_5^5 + 1342428569133/53586119963*c_1001_5^4 - 10264849596743/1178894639186*c_1001_5^3 + 6630768013021/2357789278372*c_1001_5^2 - 113130708657/107172239926*c_1001_5 - 779123731611/589447319593, c_0011_8 + 48628259719753/2357789278372*c_1001_5^8 - 109522072326695/1178894639186*c_1001_5^7 + 109888571467773/589447319593*c_1001_5^6 - 249376776179919/1178894639186*c_1001_5^5 + 15016265914535/107172239926*c_1001_5^4 - 30963783798812/589447319593*c_1001_5^3 + 45513271879439/2357789278372*c_1001_5^2 - 1144677714143/107172239926*c_1001_5 + 805530532034/589447319593, c_0101_0 - 1, c_0101_1 + 1712785444333/1178894639186*c_1001_5^8 - 26545089692085/2357789278372*c_1001_5^7 + 79768379424867/2357789278372*c_1001_5^6 - 126598407332863/2357789278372*c_1001_5^5 + 10651852611911/214344479852*c_1001_5^4 - 59114825780003/2357789278372*c_1001_5^3 + 10459612221693/2357789278372*c_1001_5^2 - 43247058069/107172239926*c_1001_5 + 652458707129/589447319593, c_0101_10 - 10368058685339/2357789278372*c_1001_5^8 + 10728556340559/589447319593*c_1001_5^7 - 19718050075166/589447319593*c_1001_5^6 + 40918430041073/1178894639186*c_1001_5^5 - 2236436823147/107172239926*c_1001_5^4 + 4123567131157/589447319593*c_1001_5^3 - 6529648322997/2357789278372*c_1001_5^2 + 64758789444/53586119963*c_1001_5 - 249329100447/589447319593, c_0101_6 - 1, c_0110_12 - 10368058685339/2357789278372*c_1001_5^8 + 10728556340559/589447319593*c_1001_5^7 - 19718050075166/589447319593*c_1001_5^6 + 40918430041073/1178894639186*c_1001_5^5 - 2236436823147/107172239926*c_1001_5^4 + 4123567131157/589447319593*c_1001_5^3 - 6529648322997/2357789278372*c_1001_5^2 + 64758789444/53586119963*c_1001_5 - 249329100447/589447319593, c_1001_10 + 4269605284389/1178894639186*c_1001_5^8 - 11483706499213/589447319593*c_1001_5^7 + 27539433619697/589447319593*c_1001_5^6 - 37106782254230/589447319593*c_1001_5^5 + 2669738427414/53586119963*c_1001_5^4 - 12653502206000/589447319593*c_1001_5^3 + 5032983806351/1178894639186*c_1001_5^2 - 67136539026/53586119963*c_1001_5 + 473643412657/589447319593, c_1001_5^9 - 1080/193*c_1001_5^8 + 2700/193*c_1001_5^7 - 3890/193*c_1001_5^6 + 3450/193*c_1001_5^5 - 1856/193*c_1001_5^4 + 639/193*c_1001_5^3 - 256/193*c_1001_5^2 + 116/193*c_1001_5 - 8/193 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.760 Total time: 0.970 seconds, Total memory usage: 32.09MB