Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 526287622] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s715 geometric_solution 5.22345997 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 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 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 0.484958794568 0.250269395576 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 1 -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 0.886678047496 0.590068933947 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 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 0.455819535323 1.252006504834 2 5 4 1 3201 1023 1023 0132 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 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 0.455819535323 1.252006504834 4 2 3 4 3201 0132 1023 2310 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 1 -1 1 0 -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 0.437297348963 0.847746552452 3 5 5 2 1023 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 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 -0.256757537841 0.705239864970 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : 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' : d['c_0101_4'], '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' : d['c_0011_3'], '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' : negation(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' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], '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_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], '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: 18 Groebner basis: [ t - 37367188362407080624/28426667386715773*c_0101_4^17 + 404515495648774875332/85280002160147319*c_0101_4^16 + 2107352329946268956675/85280002160147319*c_0101_4^15 + 289311980772799483060/85280002160147319*c_0101_4^14 - 743993660083392188740/12182857451449617*c_0101_4^13 - 1370926488219681666691/28426667386715773*c_0101_4^12 - 1828452914551931410961/28426667386715773*c_0101_4^11 - 15862780046034229922840/85280002160147319*c_0101_4^10 - 5969524900862113406411/85280002160147319*c_0101_4^9 + 16086768521297256910597/85280002160147319*c_0101_4^8 + 6320589772122871764047/28426667386715773*c_0101_4^7 + 1187064279875560013384/28426667386715773*c_0101_4^6 - 7866660096626119223278/85280002160147319*c_0101_4^5 + 227074579056212467087/12182857451449617*c_0101_4^4 + 2587516561178842218949/85280002160147319*c_0101_4^3 - 1575261200921147504543/85280002160147319*c_0101_4^2 - 484594187074797829912/85280002160147319*c_0101_4 + 177816527213867387759/85280002160147319, c_0011_0 - 1, c_0011_1 - 169255269613/74681436707*c_0101_4^17 + 587964918334/74681436707*c_0101_4^16 + 3272752841281/74681436707*c_0101_4^15 + 824490397759/74681436707*c_0101_4^14 - 7931759726741/74681436707*c_0101_4^13 - 7140877443690/74681436707*c_0101_4^12 - 8749508529945/74681436707*c_0101_4^11 - 25104522120544/74681436707*c_0101_4^10 - 11977655716239/74681436707*c_0101_4^9 + 23855867050319/74681436707*c_0101_4^8 + 31248410788284/74681436707*c_0101_4^7 + 7881278465705/74681436707*c_0101_4^6 - 11588889824566/74681436707*c_0101_4^5 + 1494303153273/74681436707*c_0101_4^4 + 4870880804860/74681436707*c_0101_4^3 - 2321556308353/74681436707*c_0101_4^2 - 945702968604/74681436707*c_0101_4 + 282649028835/74681436707, c_0011_3 + 5737252721380175/4060952483816539*c_0101_4^17 - 20389681749269169/4060952483816539*c_0101_4^16 - 108725503065643928/4060952483816539*c_0101_4^15 - 21502985763689036/4060952483816539*c_0101_4^14 + 260411865582784504/4060952483816539*c_0101_4^13 + 222691712453823553/4060952483816539*c_0101_4^12 + 304854727707971106/4060952483816539*c_0101_4^11 + 840081993375079403/4060952483816539*c_0101_4^10 + 363477560204960894/4060952483816539*c_0101_4^9 - 763729966422070491/4060952483816539*c_0101_4^8 - 988064364406698908/4060952483816539*c_0101_4^7 - 270462532922538144/4060952483816539*c_0101_4^6 + 342745211110394571/4060952483816539*c_0101_4^5 - 73791429444085768/4060952483816539*c_0101_4^4 - 120084683569842919/4060952483816539*c_0101_4^3 + 68245479334748995/4060952483816539*c_0101_4^2 + 18901731053000795/4060952483816539*c_0101_4 - 5112181631905145/4060952483816539, c_0101_0 + 2717986842346424/4060952483816539*c_0101_4^17 - 10728816546806799/4060952483816539*c_0101_4^16 - 47231688291826202/4060952483816539*c_0101_4^15 + 8174644424786266/4060952483816539*c_0101_4^14 + 119354967476110455/4060952483816539*c_0101_4^13 + 58076905370258270/4060952483816539*c_0101_4^12 + 121705052693618909/4060952483816539*c_0101_4^11 + 352200909446599244/4060952483816539*c_0101_4^10 + 41364980195187974/4060952483816539*c_0101_4^9 - 368997238886487920/4060952483816539*c_0101_4^8 - 314451082394551055/4060952483816539*c_0101_4^7 + 4657069072107621/4060952483816539*c_0101_4^6 + 154453188313712063/4060952483816539*c_0101_4^5 - 110150922778767745/4060952483816539*c_0101_4^4 - 21952651034559276/4060952483816539*c_0101_4^3 + 42158874853879193/4060952483816539*c_0101_4^2 - 7223658421371734/4060952483816539*c_0101_4 - 3321434126848509/4060952483816539, c_0101_1 - 332903534703/74681436707*c_0101_4^17 + 1162358869199/74681436707*c_0101_4^16 + 6416580277898/74681436707*c_0101_4^15 + 1516822049225/74681436707*c_0101_4^14 - 15672990713101/74681436707*c_0101_4^13 - 13897498769335/74681436707*c_0101_4^12 - 16879529638268/74681436707*c_0101_4^11 - 48796483325890/74681436707*c_0101_4^10 - 22581630118371/74681436707*c_0101_4^9 + 47889170288868/74681436707*c_0101_4^8 + 61522905180122/74681436707*c_0101_4^7 + 14334579258364/74681436707*c_0101_4^6 - 23764284597215/74681436707*c_0101_4^5 + 2521192266262/74681436707*c_0101_4^4 + 9626023997507/74681436707*c_0101_4^3 - 4755143192647/74681436707*c_0101_4^2 - 1968840503552/74681436707*c_0101_4 + 690234000245/74681436707, c_0101_4^18 - 3*c_0101_4^17 - 21*c_0101_4^16 - 14*c_0101_4^15 + 45*c_0101_4^14 + 65*c_0101_4^13 + 71*c_0101_4^12 + 171*c_0101_4^11 + 139*c_0101_4^10 - 112*c_0101_4^9 - 257*c_0101_4^8 - 134*c_0101_4^7 + 52*c_0101_4^6 + 29*c_0101_4^5 - 32*c_0101_4^4 + 13*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB