Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 3297073384] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s225 geometric_solution 4.37781294 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 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 -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 1.924689485959 0.470262168523 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 -1 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 1 0 1 0 -1 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 0.411162552515 0.976752859328 3 1 4 3 2310 0132 0132 3201 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 1 0 -1 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 -0.184368573744 0.644518893033 4 2 2 1 1023 2310 3201 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 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 -0.184368573744 0.644518893033 5 3 5 2 0132 1023 2310 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.606015782075 1.576970587476 4 4 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225441566257 0.376963535173 ==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_0101_4'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 16861757356977/54057388843*c_0101_4^11 + 108154264139017/54057388843*c_0101_4^10 - 198922698481826/54057388843*c_0101_4^9 + 65621064603591/54057388843*c_0101_4^8 - 79357761337335/54057388843*c_0101_4^7 + 262830882925499/54057388843*c_0101_4^6 + 318433105753630/54057388843*c_0101_4^5 - 278834310746969/54057388843*c_0101_4^4 - 341666834891585/54057388843*c_0101_4^3 - 198689345535162/54057388843*c_0101_4^2 - 44169507972206/54057388843*c_0101_4 - 6646992479581/54057388843, c_0011_0 - 1, c_0011_3 + 137600050198/54057388843*c_0101_4^11 - 893209766051/54057388843*c_0101_4^10 + 1682963172956/54057388843*c_0101_4^9 - 619076695603/54057388843*c_0101_4^8 + 657742848479/54057388843*c_0101_4^7 - 2243987348912/54057388843*c_0101_4^6 - 2482860721478/54057388843*c_0101_4^5 + 2502758895621/54057388843*c_0101_4^4 + 2790795189015/54057388843*c_0101_4^3 + 1543006480810/54057388843*c_0101_4^2 + 184660219633/54057388843*c_0101_4 + 23907996386/54057388843, c_0101_0 - 453466685490/54057388843*c_0101_4^11 + 2857640094519/54057388843*c_0101_4^10 - 4963194991017/54057388843*c_0101_4^9 + 826992697770/54057388843*c_0101_4^8 - 1416821840121/54057388843*c_0101_4^7 + 6689774178874/54057388843*c_0101_4^6 + 9699816891371/54057388843*c_0101_4^5 - 7022591729630/54057388843*c_0101_4^4 - 11002107285018/54057388843*c_0101_4^3 - 5933607457033/54057388843*c_0101_4^2 - 1322822673661/54057388843*c_0101_4 - 112438915453/54057388843, c_0101_1 - 467473141291/54057388843*c_0101_4^11 + 2979400084287/54057388843*c_0101_4^10 - 5399709950775/54057388843*c_0101_4^9 + 1630966999845/54057388843*c_0101_4^8 - 2160381520140/54057388843*c_0101_4^7 + 7191202297601/54057388843*c_0101_4^6 + 9030216192315/54057388843*c_0101_4^5 - 7392851384148/54057388843*c_0101_4^4 - 9667640109656/54057388843*c_0101_4^3 - 5714732652819/54057388843*c_0101_4^2 - 1258557869051/54057388843*c_0101_4 - 138797702721/54057388843, c_0101_2 - 157923675559/54057388843*c_0101_4^11 + 1022064603730/54057388843*c_0101_4^10 - 1897165040108/54057388843*c_0101_4^9 + 613386867555/54057388843*c_0101_4^8 - 669089372774/54057388843*c_0101_4^7 + 2452974475158/54057388843*c_0101_4^6 + 3092204901534/54057388843*c_0101_4^5 - 2820269346972/54057388843*c_0101_4^4 - 3249465968480/54057388843*c_0101_4^3 - 1864904203124/54057388843*c_0101_4^2 - 485102700457/54057388843*c_0101_4 - 66799771669/54057388843, c_0101_4^12 - 81/13*c_0101_4^11 + 138/13*c_0101_4^10 - 22/13*c_0101_4^9 + 51/13*c_0101_4^8 - 191/13*c_0101_4^7 - 283/13*c_0101_4^6 + 171/13*c_0101_4^5 + 304/13*c_0101_4^4 + 200/13*c_0101_4^3 + 61/13*c_0101_4^2 + 11/13*c_0101_4 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB