Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 4038159772] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3138 geometric_solution 6.29617997 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.460218330556 0.695308649772 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0.301715672103 0.803125469755 3 0 4 5 3201 0132 3201 0132 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301715672103 0.803125469755 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170143784059 1.265085076026 2 6 1 6 2310 0132 0132 2310 0 0 0 0 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598116229000 1.606454268179 5 5 2 1 1302 2031 0132 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 0.491834130846 0.871535721450 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 1 -1 0 0 1 -1 0 1 0 -1 -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 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429988690753 0.169031427628 ==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' : negation(d['1']), 's_2_0' : negation(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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], '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_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 151149607517223/28908778096*c_0101_2*c_0110_6^15 - 67786462656519/7227194524*c_0101_2*c_0110_6^14 - 49468505501193/1806798631*c_0101_2*c_0110_6^13 + 677669994265069/28908778096*c_0101_2*c_0110_6^12 + 3285800249867061/28908778096*c_0101_2*c_0110_6^11 - 128348770229412/1806798631*c_0101_2*c_0110_6^10 - 4547109852188559/28908778096*c_0101_2*c_0110_6^9 + 121668528212229/1806798631*c_0101_2*c_0110_6^8 + 3517173750006657/28908778096*c_0101_2*c_0110_6^7 - 667187935809621/14454389048*c_0101_2*c_0110_6^6 - 259790282756769/7227194524*c_0101_2*c_0110_6^5 + 16258525231619/328508842*c_0101_2*c_0110_6^4 - 134070354097299/7227194524*c_0101_2*c_0110_6^3 - 525361687042211/28908778096*c_0101_2*c_0110_6^2 + 133295569936321/14454389048*c_0101_2*c_0110_6 - 62777423938447/28908778096*c_0101_2, c_0011_0 - 1, c_0011_4 - 8071312251/164254421*c_0101_2*c_0110_6^15 + 14464842300/164254421*c_0101_2*c_0110_6^14 + 42381924815/164254421*c_0101_2*c_0110_6^13 - 36264346784/164254421*c_0101_2*c_0110_6^12 - 175977304894/164254421*c_0101_2*c_0110_6^11 + 109607564781/164254421*c_0101_2*c_0110_6^10 + 244837875381/164254421*c_0101_2*c_0110_6^9 - 104284590547/164254421*c_0101_2*c_0110_6^8 - 190012991101/164254421*c_0101_2*c_0110_6^7 + 71045837621/164254421*c_0101_2*c_0110_6^6 + 56883421590/164254421*c_0101_2*c_0110_6^5 - 76473995270/164254421*c_0101_2*c_0110_6^4 + 28470650525/164254421*c_0101_2*c_0110_6^3 + 28855515226/164254421*c_0101_2*c_0110_6^2 - 14532571190/164254421*c_0101_2*c_0110_6 + 3232107080/164254421*c_0101_2, c_0011_5 - 13030460061/164254421*c_0101_2*c_0110_6^15 + 23219544564/164254421*c_0101_2*c_0110_6^14 + 68609336986/164254421*c_0101_2*c_0110_6^13 - 57805874407/164254421*c_0101_2*c_0110_6^12 - 284326701896/164254421*c_0101_2*c_0110_6^11 + 174080773735/164254421*c_0101_2*c_0110_6^10 + 395631534118/164254421*c_0101_2*c_0110_6^9 - 164809839171/164254421*c_0101_2*c_0110_6^8 - 305934209539/164254421*c_0101_2*c_0110_6^7 + 112786807131/164254421*c_0101_2*c_0110_6^6 + 90907933282/164254421*c_0101_2*c_0110_6^5 - 123723185665/164254421*c_0101_2*c_0110_6^4 + 45517919358/164254421*c_0101_2*c_0110_6^3 + 46808589795/164254421*c_0101_2*c_0110_6^2 - 23029757933/164254421*c_0101_2*c_0110_6 + 5471716241/164254421*c_0101_2, c_0101_0 - 6393530049/164254421*c_0110_6^15 + 11426823525/164254421*c_0110_6^14 + 33573909367/164254421*c_0110_6^13 - 28495938798/164254421*c_0110_6^12 - 139202376368/164254421*c_0110_6^11 + 86085926910/164254421*c_0110_6^10 + 193069025308/164254421*c_0110_6^9 - 81721188016/164254421*c_0110_6^8 - 149068522714/164254421*c_0110_6^7 + 56114949924/164254421*c_0110_6^6 + 44188746266/164254421*c_0110_6^5 - 60755899529/164254421*c_0110_6^4 + 22262795697/164254421*c_0110_6^3 + 22603883441/164254421*c_0110_6^2 - 11139164910/164254421*c_0110_6 + 2690437417/164254421, c_0101_1 - 3188925618/164254421*c_0110_6^15 + 5514536187/164254421*c_0110_6^14 + 17041705777/164254421*c_0110_6^13 - 13233180904/164254421*c_0110_6^12 - 69946674841/164254421*c_0110_6^11 + 38940725268/164254421*c_0110_6^10 + 97710295168/164254421*c_0110_6^9 - 35567788292/164254421*c_0110_6^8 - 74443181824/164254421*c_0110_6^7 + 23719999277/164254421*c_0110_6^6 + 21811144795/164254421*c_0110_6^5 - 28999260984/164254421*c_0110_6^4 + 10579218994/164254421*c_0110_6^3 + 11390962163/164254421*c_0110_6^2 - 5373370860/164254421*c_0110_6 + 1407976374/164254421, c_0101_2^2 - 41848533927/2792325157*c_0110_6^15 + 74535708453/2792325157*c_0110_6^14 + 220473997467/2792325157*c_0110_6^13 - 185476332010/2792325157*c_0110_6^12 - 914100013827/2792325157*c_0110_6^11 + 558467066736/2792325157*c_0110_6^10 + 74970562734/164254421*c_0110_6^9 - 527438681307/2792325157*c_0110_6^8 - 992393967113/2792325157*c_0110_6^7 + 360377276597/2792325157*c_0110_6^6 + 302761204877/2792325157*c_0110_6^5 - 394753784326/2792325157*c_0110_6^4 + 138426430157/2792325157*c_0110_6^3 + 149307876346/2792325157*c_0110_6^2 - 70944092398/2792325157*c_0110_6 + 15178730898/2792325157, c_0110_6^16 - c_0110_6^15 - 20/3*c_0110_6^14 + 1/3*c_0110_6^13 + 76/3*c_0110_6^12 + 11/3*c_0110_6^11 - 41*c_0110_6^10 - 11*c_0110_6^9 + 101/3*c_0110_6^8 + 29/3*c_0110_6^7 - 14*c_0110_6^6 + 4*c_0110_6^5 + 4*c_0110_6^4 - 19/3*c_0110_6^3 - c_0110_6^2 + c_0110_6 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB