Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 341149989] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2746 geometric_solution 5.98711949 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 1 1 -2 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734378500529 0.651483461317 0 5 4 2 0132 0132 1230 1302 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 1 0 -1 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 0.540372481916 0.673062242285 5 0 1 3 3201 0132 2031 3012 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 1 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540372481916 0.673062242285 4 4 2 0 1302 2031 1230 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 1 -1 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 1.058009504032 1.178722667702 3 3 0 1 1302 2031 0132 3012 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 2 -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 1.058009504032 1.178722667702 6 1 6 2 0132 0132 1023 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 -1 0 1 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 0.471290099304 2.131345836372 5 6 5 6 0132 1302 1023 2031 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 0 0 0 0.391873884893 0.165094683626 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0011_4'], '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' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], '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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 726998087/4106506685*c_0110_2^14 - 3526252408/4106506685*c_0110_2^13 - 1513499967/4106506685*c_0110_2^12 + 3189697773/821301337*c_0110_2^11 - 48827465558/4106506685*c_0110_2^10 + 9671476111/821301337*c_0110_2^9 - 16005547058/4106506685*c_0110_2^8 + 56251896469/4106506685*c_0110_2^7 - 100449845861/4106506685*c_0110_2^6 - 43276497107/4106506685*c_0110_2^5 + 188635884458/4106506685*c_0110_2^4 - 97472363803/4106506685*c_0110_2^3 - 11220073912/4106506685*c_0110_2^2 + 57512912161/4106506685*c_0110_2 - 19475849683/4106506685, c_0011_0 - 1, c_0011_3 - 199729020/821301337*c_0110_2^14 - 84539129/821301337*c_0110_2^13 + 299168133/821301337*c_0110_2^12 - 2071814025/821301337*c_0110_2^11 + 2053806812/821301337*c_0110_2^10 - 593305804/821301337*c_0110_2^9 + 3509168323/821301337*c_0110_2^8 - 3892007073/821301337*c_0110_2^7 - 453448086/821301337*c_0110_2^6 + 6033197564/821301337*c_0110_2^5 - 4837231874/821301337*c_0110_2^4 + 1663702272/821301337*c_0110_2^3 + 602548550/821301337*c_0110_2^2 + 40371813/821301337*c_0110_2 + 636063466/821301337, c_0011_4 - 199729020/821301337*c_0110_2^14 - 84539129/821301337*c_0110_2^13 + 299168133/821301337*c_0110_2^12 - 2071814025/821301337*c_0110_2^11 + 2053806812/821301337*c_0110_2^10 - 593305804/821301337*c_0110_2^9 + 3509168323/821301337*c_0110_2^8 - 3892007073/821301337*c_0110_2^7 - 453448086/821301337*c_0110_2^6 + 6033197564/821301337*c_0110_2^5 - 4837231874/821301337*c_0110_2^4 + 1663702272/821301337*c_0110_2^3 + 602548550/821301337*c_0110_2^2 + 40371813/821301337*c_0110_2 + 636063466/821301337, c_0101_0 - 96227641/821301337*c_0110_2^14 + 20445513/821301337*c_0110_2^13 + 237050029/821301337*c_0110_2^12 - 999630146/821301337*c_0110_2^11 + 1488928202/821301337*c_0110_2^10 - 367445962/821301337*c_0110_2^9 + 1853540158/821301337*c_0110_2^8 - 3996198145/821301337*c_0110_2^7 + 353314626/821301337*c_0110_2^6 + 2822575851/821301337*c_0110_2^5 - 1482250065/821301337*c_0110_2^4 - 754020349/821301337*c_0110_2^3 - 351850314/821301337*c_0110_2^2 + 596684612/821301337*c_0110_2 - 585580499/821301337, c_0101_2 - 204098493/821301337*c_0110_2^14 - 139726189/821301337*c_0110_2^13 + 415369096/821301337*c_0110_2^12 - 1904898456/821301337*c_0110_2^11 + 1302803174/821301337*c_0110_2^10 + 1048992004/821301337*c_0110_2^9 + 2800505067/821301337*c_0110_2^8 - 4166938853/821301337*c_0110_2^7 - 3880768880/821301337*c_0110_2^6 + 7072915205/821301337*c_0110_2^5 + 64729556/821301337*c_0110_2^4 - 3075660839/821301337*c_0110_2^3 + 1504013774/821301337*c_0110_2^2 + 600339105/821301337*c_0110_2 - 656579072/821301337, c_0101_5 - 339993154/821301337*c_0110_2^14 - 49423998/821301337*c_0110_2^13 + 730539368/821301337*c_0110_2^12 - 3577800593/821301337*c_0110_2^11 + 4175540829/821301337*c_0110_2^10 - 207112636/821301337*c_0110_2^9 + 4456031850/821301337*c_0110_2^8 - 8184119896/821301337*c_0110_2^7 - 2201162457/821301337*c_0110_2^6 + 13465423215/821301337*c_0110_2^5 - 9016833251/821301337*c_0110_2^4 + 640525664/821301337*c_0110_2^3 + 4233762010/821301337*c_0110_2^2 - 3075236609/821301337*c_0110_2 + 242094559/821301337, c_0110_2^15 - 2*c_0110_2^13 + 11*c_0110_2^12 - 14*c_0110_2^11 + 4*c_0110_2^10 - 14*c_0110_2^9 + 26*c_0110_2^8 - 38*c_0110_2^6 + 35*c_0110_2^5 - 8*c_0110_2^4 - 12*c_0110_2^3 + 9*c_0110_2^2 - 2*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB