Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 3937105621] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s051 geometric_solution 3.59232518 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 -1 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 0.029435537367 1.935764945873 2 2 3 0 1230 1023 0132 0132 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 -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 0.029435537367 1.935764945873 1 1 0 3 1023 3012 0132 3201 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 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 0.029435537367 1.935764945873 4 2 4 1 0132 2310 1023 0132 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 0 0 -1 1 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 0.465066856844 0.362577577577 3 5 3 5 0132 0132 1023 1023 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 0 0 0 0 0 0.755613708199 0.076574693229 5 4 5 4 2310 0132 3201 1023 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 0.828044426039 0.037300866873 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : negation(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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_1'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_1']), 'c_0110_1' : d['c_0011_1'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_1'])})} 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_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 54139605752161/3477557031984*c_0101_5^12 - 74031853716229/1159185677328*c_0101_5^11 + 606678821450195/1738778515992*c_0101_5^10 + 1067775331279613/3477557031984*c_0101_5^9 + 252354778703501/165597953904*c_0101_5^8 + 2404759296213331/3477557031984*c_0101_5^7 + 7874086615119671/3477557031984*c_0101_5^6 + 742302858801341/1738778515992*c_0101_5^5 + 186274848049043/102281089176*c_0101_5^4 - 26284405254937/217347314499*c_0101_5^3 + 104060385174871/144898209666*c_0101_5^2 - 579289217270777/3477557031984*c_0101_5 + 223164426868645/1738778515992, c_0011_0 - 1, c_0011_1 + 180702358/10349872119*c_0101_5^12 - 7231726/3449957373*c_0101_5^11 + 1411861381/10349872119*c_0101_5^10 + 18423491588/10349872119*c_0101_5^9 + 12792166067/3449957373*c_0101_5^8 + 87335039542/10349872119*c_0101_5^7 + 77843675825/10349872119*c_0101_5^6 + 122720559319/10349872119*c_0101_5^5 + 3370050907/608816007*c_0101_5^4 + 85325759675/10349872119*c_0101_5^\ 3 - 1214401039/3449957373*c_0101_5^2 + 21972525793/10349872119*c_0101_5 - 6154203103/10349872119, c_0011_3 + 188106110/10349872119*c_0101_5^12 - 452977997/3449957373*c_0101_5^11 + 6610560029/10349872119*c_0101_5^10 - 9579065207/10349872119*c_0101_5^9 + 2451335284/3449957373*c_0101_5^8 - 53451354436/10349872119*c_0101_5^7 - 4281093410/10349872119*c_0101_5^6 - 85906679467/10349872119*c_0101_5^5 + 396735965/608816007*c_0101_5^4 - 67982004671/10349872119*c_0101_5^3 - 75024377/3449957373*c_0101_5^2 - 20587065643/10349872119*c_0101_5 - 5128945316/10349872119, c_0101_1 - 787825/7516247*c_0101_5^12 + 3679521/7516247*c_0101_5^11 - 19087207/7516247*c_0101_5^10 - 7762596/7516247*c_0101_5^9 - 56463392/7516247*c_0101_5^8 + 3170130/7516247*c_0101_5^7 - 64709722/7516247*c_0101_5^6 + 33407657/7516247*c_0101_5^5 - 24122438/7516247*c_0101_5^4 + 44397808/7516247*c_0101_5^3 - 7008667/7516247*c_0101_5^2 + 18388634/7516247*c_0101_5 - 2535898/7516247, c_0101_3 - 16911925/67646223*c_0101_5^12 + 23722471/22548741*c_0101_5^11 - 375530461/67646223*c_0101_5^10 - 342870875/67646223*c_0101_5^9 - 453615968/22548741*c_0101_5^8 - 450419341/67646223*c_0101_5^7 - 1539858491/67646223*c_0101_5^6 - 126377137/67646223*c_0101_5^5 - 878279609/67646223*c_0101_5^4 + 245682262/67646223*c_0101_5^3 - 46939976/22548741*c_0101_5^2 + 136666325/67646223*c_0101_5 - 6045770/67646223, c_0101_5^13 - 4*c_0101_5^12 + 22*c_0101_5^11 + 22*c_0101_5^10 + 100*c_0101_5^9 + 55*c_0101_5^8 + 151*c_0101_5^7 + 44*c_0101_5^6 + 121*c_0101_5^5 + 6*c_0101_5^4 + 46*c_0101_5^3 - 5*c_0101_5^2 + 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB