Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 3221103519] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s237 geometric_solution 4.39748903 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554715614328 0.363849709949 0 2 2 3 0132 2031 1230 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 -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 0.739557769637 0.826750731508 1 0 3 1 1302 0132 2310 3012 0 0 0 0 0 0 1 -1 1 0 0 -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 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 0.739557769637 0.826750731508 4 2 1 4 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 -1 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 0.544999656201 0.540423956959 3 5 5 3 0132 0132 1023 1023 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 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 1.408336915843 0.441333827157 5 4 4 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 -1 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 1.616778372672 0.164252746394 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_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' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_0']), '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' : d['c_0101_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_5'], '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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 942/397*c_0101_5^10 + 1516/397*c_0101_5^9 - 9211/397*c_0101_5^8 - 1775/397*c_0101_5^7 + 31124/397*c_0101_5^6 - 25879/397*c_0101_5^5 - 16368/397*c_0101_5^4 + 24184/397*c_0101_5^3 + 3910/397*c_0101_5^2 - 6726/397*c_0101_5 - 819/397, c_0011_0 - 1, c_0011_3 + 566/397*c_0101_5^10 + 1656/397*c_0101_5^9 - 3321/397*c_0101_5^8 - 5227/397*c_0101_5^7 + 11849/397*c_0101_5^6 - 1077/397*c_0101_5^5 - 10611/397*c_0101_5^4 + 2744/397*c_0101_5^3 + 2174/397*c_0101_5^2 + 265/397*c_0101_5 + 575/397, c_0101_0 - 277/397*c_0101_5^10 - 1185/397*c_0101_5^9 + 536/397*c_0101_5^8 + 4548/397*c_0101_5^7 - 3123/397*c_0101_5^6 - 6412/397*c_0101_5^5 + 8113/397*c_0101_5^4 + 2087/397*c_0101_5^3 - 2774/397*c_0101_5^2 + 759/397*c_0101_5 - 428/397, c_0101_1 + 240/397*c_0101_5^10 + 409/397*c_0101_5^9 - 2104/397*c_0101_5^8 - 35/397*c_0101_5^7 + 6855/397*c_0101_5^6 - 7663/397*c_0101_5^5 - 845/397*c_0101_5^4 + 5365/397*c_0101_5^3 - 1975/397*c_0101_5^2 - 467/397*c_0101_5 - 62/397, c_0101_4 - 71/397*c_0101_5^10 + 56/397*c_0101_5^9 + 1165/397*c_0101_5^8 - 825/397*c_0101_5^7 - 3343/397*c_0101_5^6 + 5395/397*c_0101_5^5 - 635/397*c_0101_5^4 - 3415/397*c_0101_5^3 + 973/397*c_0101_5^2 - 62/397*c_0101_5 - 157/397, c_0101_5^11 + 2*c_0101_5^10 - 9*c_0101_5^9 - 5*c_0101_5^8 + 32*c_0101_5^7 - 18*c_0101_5^6 - 26*c_0101_5^5 + 25*c_0101_5^4 + 6*c_0101_5^3 - 6*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB