Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 3153733565] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s624 geometric_solution 5.10926892 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 1 0 -1 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 -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 1.669432942774 0.511490348893 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 -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 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 0.719432567444 0.605643014334 4 1 5 5 0132 0132 0132 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 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 0.206093518932 0.710777959002 5 5 4 1 1023 3201 0132 0132 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 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 0.206093518932 0.710777959002 2 4 4 3 0132 3201 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 -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 0.583286267887 0.917723390151 2 3 3 2 3201 1023 2310 0132 0 0 0 0 0 0 -1 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 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 -0.376302908728 1.297798275359 ==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' : negation(d['1']), 's_3_5' : negation(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' : negation(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' : negation(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_3'], 'c_1100_4' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_4']), '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' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], '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' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(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: 19 Groebner basis: [ t - 32220590325/345802414*c_0101_4^18 + 1904625757/345802414*c_0101_4^17 + 138792847102/172901207*c_0101_4^16 + 34135252682/172901207*c_0101_4^15 - 510999475731/172901207*c_0101_4^14 - 384767350399/345802414*c_0101_4^13 + 2082990331753/345802414*c_0101_4^12 + 942772622365/345802414*c_0101_4^11 - 1309455509433/172901207*c_0101_4^10 - 689042059978/172901207*c_0101_4^9 + 1008808094562/172901207*c_0101_4^8 + 585955732182/172901207*c_0101_4^7 - 456932153372/172901207*c_0101_4^6 - 280361223701/172901207*c_0101_4^5 + 241292061945/345802414*c_0101_4^4 + 148598194957/345802414*c_0101_4^3 - 31342504967/345802414*c_0101_4^2 - 7434731604/172901207*c_0101_4 + 1449830751/345802414, c_0011_0 - 1, c_0011_3 + 404964357/172901207*c_0101_4^18 - 305103853/172901207*c_0101_4^17 - 3506650304/172901207*c_0101_4^16 + 1640198282/172901207*c_0101_4^15 + 13820788799/172901207*c_0101_4^14 - 4690904617/172901207*c_0101_4^13 - 31379935156/172901207*c_0101_4^12 + 8253364904/172901207*c_0101_4^11 + 46053323998/172901207*c_0101_4^10 - 8875135924/172901207*c_0101_4^9 - 45278582091/172901207*c_0101_4^8 + 6074147824/172901207*c_0101_4^7 + 30408632445/172901207*c_0101_4^6 - 2490115482/172901207*c_0101_4^5 - 14113952411/172901207*c_0101_4^4 + 574407655/172901207*c_0101_4^3 + 4619970317/172901207*c_0101_4^2 - 55519177/172901207*c_0101_4 - 901031803/172901207, c_0101_0 + 13454458759/172901207*c_0101_4^18 - 3330833142/172901207*c_0101_4^17 - 113748288435/172901207*c_0101_4^16 - 9239212943/172901207*c_0101_4^15 + 417875909056/172901207*c_0101_4^14 + 94010142259/172901207*c_0101_4^13 - 852221216120/172901207*c_0101_4^12 - 268801927699/172901207*c_0101_4^11 + 1079187286718/172901207*c_0101_4^10 + 431743492187/172901207*c_0101_4^9 - 844423620401/172901207*c_0101_4^8 - 392712116702/172901207*c_0101_4^7 + 391838204335/172901207*c_0101_4^6 + 201720250819/172901207*c_0101_4^5 - 104292055131/172901207*c_0101_4^4 - 57727400873/172901207*c_0101_4^3 + 12763332671/172901207*c_0101_4^2 + 6852437128/172901207*c_0101_4 - 325452891/172901207, c_0101_1 + 8216478767/172901207*c_0101_4^18 - 1979126773/172901207*c_0101_4^17 - 70522637738/172901207*c_0101_4^16 - 6044187375/172901207*c_0101_4^15 + 264138937243/172901207*c_0101_4^14 + 61186180461/172901207*c_0101_4^13 - 553044731222/172901207*c_0101_4^12 - 178838432323/172901207*c_0101_4^11 + 724974433749/172901207*c_0101_4^10 + 293923930949/172901207*c_0101_4^9 - 597817066114/172901207*c_0101_4^8 - 278262614738/172901207*c_0101_4^7 + 301563064895/172901207*c_0101_4^6 + 150960249987/172901207*c_0101_4^5 - 91222764254/172901207*c_0101_4^4 - 45173034345/172901207*c_0101_4^3 + 14550222523/172901207*c_0101_4^2 + 5701246196/172901207*c_0101_4 - 883499444/172901207, c_0101_2 - 7*c_0101_4^18 + c_0101_4^17 + 61*c_0101_4^16 + 11*c_0101_4^15 - 231*c_0101_4^14 - 76*c_0101_4^13 + 490*c_0101_4^12 + 209*c_0101_4^11 - 652*c_0101_4^10 - 338*c_0101_4^9 + 548*c_0101_4^8 + 329*c_0101_4^7 - 284*c_0101_4^6 - 193*c_0101_4^5 + 89*c_0101_4^4 + 68*c_0101_4^3 - 15*c_0101_4^2 - 12*c_0101_4 + 1, c_0101_4^19 - 1/7*c_0101_4^18 - 61/7*c_0101_4^17 - 11/7*c_0101_4^16 + 33*c_0101_4^15 + 76/7*c_0101_4^14 - 70*c_0101_4^13 - 209/7*c_0101_4^12 + 652/7*c_0101_4^11 + 338/7*c_0101_4^10 - 548/7*c_0101_4^9 - 47*c_0101_4^8 + 284/7*c_0101_4^7 + 193/7*c_0101_4^6 - 89/7*c_0101_4^5 - 68/7*c_0101_4^4 + 15/7*c_0101_4^3 + 13/7*c_0101_4^2 - 1/7*c_0101_4 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB