Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 576962245] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1836 geometric_solution 5.48788878 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 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 0.467732432379 0.554580610341 0 3 2 4 0132 0132 1230 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 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 0.707735657674 0.853828979788 3 0 4 1 3201 0132 3201 3012 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 -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 0.707735657674 0.853828979788 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 -0.269126118393 1.023858156034 2 5 1 5 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.975856656075 0.551093942637 4 4 6 6 3201 0132 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 -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 0.145898267780 0.452908208081 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 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 -0.742096361699 0.805239700012 ==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' : 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_6'], 'c_1100_5' : d['c_0011_6'], '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_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_4'], '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_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_4'], '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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 114/13*c_0101_2*c_0101_6^13 + 425/13*c_0101_2*c_0101_6^12 + 519/13*c_0101_2*c_0101_6^11 - 2901/13*c_0101_2*c_0101_6^10 + 844/13*c_0101_2*c_0101_6^9 + 4492/13*c_0101_2*c_0101_6^8 - 7519/13*c_0101_2*c_0101_6^7 + 3372/13*c_0101_2*c_0101_6^6 + 11494/13*c_0101_2*c_0101_6^5 - 937*c_0101_2*c_0101_6^4 - 4955/13*c_0101_2*c_0101_6^3 + 7245/13*c_0101_2*c_0101_6^2 + 38/13*c_0101_2*c_0101_6 - 888/13*c_0101_2, c_0011_0 - 1, c_0011_4 + 547/169*c_0101_2*c_0101_6^13 - 270/169*c_0101_2*c_0101_6^12 - 4429/169*c_0101_2*c_0101_6^11 + 359/169*c_0101_2*c_0101_6^10 + 5685/169*c_0101_2*c_0101_6^9 - 6411/169*c_0101_2*c_0101_6^8 + 5142/169*c_0101_2*c_0101_6^7 + 18193/169*c_0101_2*c_0101_6^6 - 13840/169*c_0101_2*c_0101_6^5 - 1324/13*c_0101_2*c_0101_6^4 + 7886/169*c_0101_2*c_0101_6^3 + 5262/169*c_0101_2*c_0101_6^2 - 1673/169*c_0101_2*c_0101_6 - 478/169*c_0101_2, c_0011_6 + 135/169*c_0101_2*c_0101_6^13 + 145/169*c_0101_2*c_0101_6^12 - 1449/169*c_0101_2*c_0101_6^11 - 1260/169*c_0101_2*c_0101_6^10 + 3153/169*c_0101_2*c_0101_6^9 - 998/169*c_0101_2*c_0101_6^8 - 1785/169*c_0101_2*c_0101_6^7 + 9624/169*c_0101_2*c_0101_6^6 - 1925/169*c_0101_2*c_0101_6^5 - 913/13*c_0101_2*c_0101_6^4 + 2237/169*c_0101_2*c_0101_6^3 + 4535/169*c_0101_2*c_0101_6^2 - 682/169*c_0101_2*c_0101_6 - 557/169*c_0101_2, c_0101_0 - 647/169*c_0101_6^13 + 100/169*c_0101_6^12 + 5446/169*c_0101_6^11 + 1194/169*c_0101_6^10 - 7476/169*c_0101_6^9 + 5961/169*c_0101_6^8 - 3294/169*c_0101_6^7 - 24552/169*c_0101_6^6 + 10922/169*c_0101_6^5 + 2060/13*c_0101_6^4 - 4786/169*c_0101_6^3 - 10474/169*c_0101_6^2 + 1208/169*c_0101_6 + 1673/169, c_0101_1 + 1484/169*c_0101_6^13 - 891/169*c_0101_6^12 - 12030/169*c_0101_6^11 + 2486/169*c_0101_6^10 + 15634/169*c_0101_6^9 - 19855/169*c_0101_6^8 + 16732/169*c_0101_6^7 + 47514/169*c_0101_6^6 - 44827/169*c_0101_6^5 - 3142/13*c_0101_6^4 + 25483/169*c_0101_6^3 + 12565/169*c_0101_6^2 - 4828/169*c_0101_6 - 1645/169, c_0101_2^2 - 11006/2873*c_0101_6^13 + 4916/2873*c_0101_6^12 + 90539/2873*c_0101_6^11 - 5212/2873*c_0101_6^10 - 120841/2873*c_0101_6^9 + 131810/2873*c_0101_6^8 - 99545/2873*c_0101_6^7 - 375787/2873*c_0101_6^6 + 283750/2873*c_0101_6^5 + 27609/221*c_0101_6^4 - 154491/2873*c_0101_6^3 - 126986/2873*c_0101_6^2 + 31311/2873*c_0101_6 + 16889/2873, c_0101_6^14 - c_0101_6^13 - 8*c_0101_6^12 + 5*c_0101_6^11 + 11*c_0101_6^10 - 18*c_0101_6^9 + 15*c_0101_6^8 + 30*c_0101_6^7 - 45*c_0101_6^6 - 20*c_0101_6^5 + 34*c_0101_6^4 + 4*c_0101_6^3 - 10*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB