Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 1764292029] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1242 geometric_solution 5.13810632 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 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 -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 0.515950673049 0.562524118429 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 1 -1 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 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 1.114458296145 0.965477113053 3 0 4 1 2310 0132 3201 3012 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 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 1.114458296145 0.965477113053 3 1 2 3 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.332480486175 0.701446901114 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.381484481396 0.466434813417 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 -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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854503281898 0.318856933780 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 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 0.819583728871 0.165855270150 ==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_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 62155739214067/8491180345609*c_0101_6^19 - 291144665822266/8491180345609*c_0101_6^18 - 908519172606301/8491180345609*c_0101_6^17 - 964153156547986/8491180345609*c_0101_6^16 + 2341311052284203/8491180345609*c_0101_6^15 + 9207877081236161/8491180345609*c_0101_6^14 + 10886169033551510/8491180345609*c_0101_6^13 - 9399608947599328/8491180345609*c_0101_6^12 - 39507295395211596/8491180345609*c_0101_6^11 - 23722663050771294/8491180345609*c_0101_6^10 + 35164944979548639/8491180345609*c_0101_6^9 + 48320707630234329/8491180345609*c_0101_6^8 + 545494950655676/8491180345609*c_0101_6^7 - 25441828860529532/8491180345609*c_0101_6^6 - 9649408237876227/8491180345609*c_0101_6^5 + 2295436912616351/8491180345609*c_0101_6^4 + 1444962241879536/8491180345609*c_0101_6^3 + 28782956848958/653167718893*c_0101_6^2 + 358362655854172/8491180345609*c_0101_6 + 127557374300102/8491180345609, c_0011_0 - 1, c_0011_4 - 8485341240905/8491180345609*c_0101_6^19 - 38749586966374/8491180345609*c_0101_6^18 - 123170566311284/8491180345609*c_0101_6^17 - 134419581936953/8491180345609*c_0101_6^16 + 274331355984016/8491180345609*c_0101_6^15 + 1132610156011888/8491180345609*c_0101_6^14 + 1366893598559429/8491180345609*c_0101_6^13 - 1097044474651393/8491180345609*c_0101_6^12 - 4607481102537250/8491180345609*c_0101_6^11 - 2524919234400517/8491180345609*c_0101_6^10 + 4215776209342286/8491180345609*c_0101_6^9 + 5210642757876753/8491180345609*c_0101_6^8 - 412221039582413/8491180345609*c_0101_6^7 - 2965499999719281/8491180345609*c_0101_6^6 - 921090522925691/8491180345609*c_0101_6^5 + 376145381813310/8491180345609*c_0101_6^4 + 185080282328820/8491180345609*c_0101_6^3 + 3936990329264/653167718893*c_0101_6^2 + 42096820382257/8491180345609*c_0101_6 + 14815326682744/8491180345609, c_0101_0 + 5834823504953/8491180345609*c_0101_6^19 + 18095427706610/8491180345609*c_0101_6^18 + 53504401555586/8491180345609*c_0101_6^17 - 573793768038/8491180345609*c_0101_6^16 - 226566962118541/8491180345609*c_0101_6^15 - 425487119288034/8491180345609*c_0101_6^14 - 60014954339381/8491180345609*c_0101_6^13 + 1298124045521236/8491180345609*c_0101_6^12 + 1265554882789723/8491180345609*c_0101_6^11 - 1697577971824483/8491180345609*c_0101_6^10 - 2388779642132389/8491180345609*c_0101_6^9 + 1158171773864775/8491180345609*c_0101_6^8 + 2323546908784661/8491180345609*c_0101_6^7 - 345982565024310/8491180345609*c_0101_6^6 - 1174666401993029/8491180345609*c_0101_6^5 - 105534162031443/8491180345609*c_0101_6^4 + 191603370821384/8491180345609*c_0101_6^3 + 5173892842700/653167718893*c_0101_6^2 + 22988166238545/8491180345609*c_0101_6 + 11337090265102/8491180345609, c_0101_1 + 19804928766907/8491180345609*c_0101_6^19 + 81187635433891/8491180345609*c_0101_6^18 + 255081192680534/8491180345609*c_0101_6^17 + 220912800427170/8491180345609*c_0101_6^16 - 653214328288850/8491180345609*c_0101_6^15 - 2208565210135379/8491180345609*c_0101_6^14 - 2226643729460094/8491180345609*c_0101_6^13 + 2986781999383485/8491180345609*c_0101_6^12 + 8325881696705483/8491180345609*c_0101_6^11 + 1976540112495055/8491180345609*c_0101_6^10 - 8817929409571687/8491180345609*c_0101_6^9 - 6334925040120184/8491180345609*c_0101_6^8 + 3131997296161563/8491180345609*c_0101_6^7 + 3860534614480933/8491180345609*c_0101_6^6 + 135732035708510/8491180345609*c_0101_6^5 - 573987230794649/8491180345609*c_0101_6^4 - 133814210594926/8491180345609*c_0101_6^3 - 3449647521789/653167718893*c_0101_6^2 - 32762264229073/8491180345609*c_0101_6 - 12064440826108/8491180345609, c_0101_2 - 9175623328513/8491180345609*c_0101_6^19 - 38555291502607/8491180345609*c_0101_6^18 - 122712536139085/8491180345609*c_0101_6^17 - 116843455609688/8491180345609*c_0101_6^16 + 286147119872938/8491180345609*c_0101_6^15 + 1055997380027164/8491180345609*c_0101_6^14 + 1177310956471972/8491180345609*c_0101_6^13 - 1202221167352624/8491180345609*c_0101_6^12 - 3989570627207013/8491180345609*c_0101_6^11 - 1550464437938714/8491180345609*c_0101_6^10 + 3653229971421662/8491180345609*c_0101_6^9 + 3534942006637214/8491180345609*c_0101_6^8 - 549439952812587/8491180345609*c_0101_6^7 - 1833756680230588/8491180345609*c_0101_6^6 - 648767904242590/8491180345609*c_0101_6^5 + 94749823521129/8491180345609*c_0101_6^4 + 192756774069018/8491180345609*c_0101_6^3 + 5536313347753/653167718893*c_0101_6^2 + 18784684458860/8491180345609*c_0101_6 + 6642880148703/8491180345609, c_0101_5 - 386043992240/8491180345609*c_0101_6^19 - 538178174201/8491180345609*c_0101_6^18 - 154551872116/8491180345609*c_0101_6^17 + 12469572416778/8491180345609*c_0101_6^16 + 36506893594000/8491180345609*c_0101_6^15 + 32152178440973/8491180345609*c_0101_6^14 - 67921079674051/8491180345609*c_0101_6^13 - 257135301027585/8491180345609*c_0101_6^12 - 200231168192141/8491180345609*c_0101_6^11 + 277756701311338/8491180345609*c_0101_6^10 + 541613666103708/8491180345609*c_0101_6^9 + 184177795230892/8491180345609*c_0101_6^8 - 247348966506795/8491180345609*c_0101_6^7 - 326060972429574/8491180345609*c_0101_6^6 - 180653158701786/8491180345609*c_0101_6^5 + 22676723525931/8491180345609*c_0101_6^4 + 101857499381020/8491180345609*c_0101_6^3 + 3768123104633/653167718893*c_0101_6^2 + 7948425412047/8491180345609*c_0101_6 + 2957002787205/8491180345609, c_0101_6^20 + 4*c_0101_6^19 + 12*c_0101_6^18 + 8*c_0101_6^17 - 40*c_0101_6^16 - 113*c_0101_6^15 - 86*c_0101_6^14 + 212*c_0101_6^13 + 454*c_0101_6^12 - 13*c_0101_6^11 - 638*c_0101_6^10 - 308*c_0101_6^9 + 383*c_0101_6^8 + 303*c_0101_6^7 - 83*c_0101_6^6 - 102*c_0101_6^5 - 5*c_0101_6^4 + 7*c_0101_6^3 + c_0101_6^2 + c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB