Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 728413993] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s411 geometric_solution 4.67653930 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510978607632 0.151153151692 2 0 3 0 0132 2310 0132 0132 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689461388317 0.381176699711 1 4 3 3 0132 0132 3012 2310 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 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438729543256 1.082400094328 2 2 4 1 3201 1230 0132 0132 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 0 0 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438729543256 1.082400094328 5 2 5 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.856565438587 1.215038390646 4 5 4 5 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.501112396898 0.446244973207 ==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_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_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_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), '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_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 29123979/1117*c_0101_4^20 - 138179754/1117*c_0101_4^19 - 453265683/1117*c_0101_4^18 + 1980526250/1117*c_0101_4^17 + 2796695902/1117*c_0101_4^16 - 12154566476/1117*c_0101_4^15 - 7683630424/1117*c_0101_4^14 + 48162748429/1117*c_0101_4^13 + 26013950978/1117*c_0101_4^12 - 92157854042/1117*c_0101_4^11 - 46886694587/1117*c_0101_4^10 + 93469348386/1117*c_0101_4^9 + 35883853780/1117*c_0101_4^8 - 57708865950/1117*c_0101_4^7 - 11344371763/1117*c_0101_4^6 + 22918011733/1117*c_0101_4^5 + 1445444618/1117*c_0101_4^4 - 4722533838/1117*c_0101_4^3 + 203317929/1117*c_0101_4^2 + 388593398/1117*c_0101_4 - 56948821/1117, c_0011_0 - 1, c_0011_1 - 436663/1117*c_0101_4^20 + 2064753/1117*c_0101_4^19 + 6825863/1117*c_0101_4^18 - 29567564/1117*c_0101_4^17 - 42373324/1117*c_0101_4^16 + 181348364/1117*c_0101_4^15 + 117983681/1117*c_0101_4^14 - 719187987/1117*c_0101_4^13 - 401414785/1117*c_0101_4^12 + 1371838527/1117*c_0101_4^11 + 723397865/1117*c_0101_4^10 - 1384720033/1117*c_0101_4^9 - 556197734/1117*c_0101_4^8 + 853038848/1117*c_0101_4^7 + 179879338/1117*c_0101_4^6 - 339391396/1117*c_0101_4^5 - 25156381/1117*c_0101_4^4 + 69793462/1117*c_0101_4^3 - 2568122/1117*c_0101_4^2 - 5751351/1117*c_0101_4 + 830250/1117, c_0011_3 + 2411183/1117*c_0101_4^20 - 11274332/1117*c_0101_4^19 - 38283438/1117*c_0101_4^18 + 161283149/1117*c_0101_4^17 + 242252371/1117*c_0101_4^16 - 988974243/1117*c_0101_4^15 - 700820867/1117*c_0101_4^14 + 3935673251/1117*c_0101_4^13 + 2408788454/1117*c_0101_4^12 - 7447507599/1117*c_0101_4^11 - 4332966219/1117*c_0101_4^10 + 7421520787/1117*c_0101_4^9 + 3368084987/1117*c_0101_4^8 - 4545632728/1117*c_0101_4^7 - 1149258420/1117*c_0101_4^6 + 1818945667/1117*c_0101_4^5 + 193047645/1117*c_0101_4^4 - 372142826/1117*c_0101_4^3 + 6927212/1117*c_0101_4^2 + 30797514/1117*c_0101_4 - 4260716/1117, c_0101_0 + 1685335/1117*c_0101_4^20 - 7847441/1117*c_0101_4^19 - 26926027/1117*c_0101_4^18 + 112288287/1117*c_0101_4^17 + 171634339/1117*c_0101_4^16 - 688993130/1117*c_0101_4^15 - 503352653/1117*c_0101_4^14 + 2747006890/1117*c_0101_4^13 + 1734174152/1117*c_0101_4^12 - 5191669589/1117*c_0101_4^11 - 3119776644/1117*c_0101_4^10 + 5162744171/1117*c_0101_4^9 + 2438590582/1117*c_0101_4^8 - 3164584901/1117*c_0101_4^7 - 847882665/1117*c_0101_4^6 + 1272514923/1117*c_0101_4^5 + 148730661/1117*c_0101_4^4 - 261467419/1117*c_0101_4^3 + 3311920/1117*c_0101_4^2 + 21814744/1117*c_0101_4 - 2982553/1117, c_0101_1 + 1304365/1117*c_0101_4^20 - 6085162/1117*c_0101_4^19 - 20762526/1117*c_0101_4^18 + 86981103/1117*c_0101_4^17 + 131719386/1117*c_0101_4^16 - 532830162/1117*c_0101_4^15 - 382875697/1117*c_0101_4^14 + 2119699046/1117*c_0101_4^13 + 1319089966/1117*c_0101_4^12 - 3992063486/1117*c_0101_4^11 - 2366362436/1117*c_0101_4^10 + 3946473161/1117*c_0101_4^9 + 1832652557/1117*c_0101_4^8 - 2398208723/1117*c_0101_4^7 - 626597850/1117*c_0101_4^6 + 954116497/1117*c_0101_4^5 + 109197474/1117*c_0101_4^4 - 192303388/1117*c_0101_4^3 + 2508346/1117*c_0101_4^2 + 15711039/1117*c_0101_4 - 2133498/1117, c_0101_4^21 - 4*c_0101_4^20 - 19*c_0101_4^19 + 56*c_0101_4^18 + 145*c_0101_4^17 - 340*c_0101_4^16 - 563*c_0101_4^15 + 1422*c_0101_4^14 + 2085*c_0101_4^13 - 2357*c_0101_4^12 - 3823*c_0101_4^11 + 1766*c_0101_4^10 + 3369*c_0101_4^9 - 860*c_0101_4^8 - 1665*c_0101_4^7 + 389*c_0101_4^6 + 555*c_0101_4^5 - 83*c_0101_4^4 - 92*c_0101_4^3 + 12*c_0101_4^2 + 6*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB