Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 3836049624] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0162 geometric_solution 3.86108645 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 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 4.678228463269 0.895652422583 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.456147672889 0.043272057802 0 3 3 0 3201 0132 3201 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 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 -0.239566566166 0.138466553388 2 2 4 4 2310 0132 0132 2310 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 -1 1 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 1.791092139967 2.076214627888 3 5 6 3 3201 0132 0132 0132 0 0 0 0 0 -1 1 0 0 0 -1 1 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 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 0.467973819255 0.319875421129 6 4 6 6 2103 0132 3201 2031 0 0 0 0 0 1 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 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 0.450696918075 0.912828286122 5 5 5 4 2310 1302 2103 0132 0 0 0 0 0 1 0 -1 0 0 -1 1 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 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 0.450696918075 0.912828286122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 6420341/18985*c_0101_3^10 - 1099027/3797*c_0101_3^9 - 24050908/18985*c_0101_3^8 + 62892108/18985*c_0101_3^7 + 220420756/18985*c_0101_3^6 + 18707789/3797*c_0101_3^5 - 181390486/18985*c_0101_3^4 - 194296621/18985*c_0101_3^3 - 20566947/18985*c_0101_3^2 + 65191248/18985*c_0101_3 + 36884527/18985, c_0011_0 - 1, c_0011_2 - 41461/3797*c_0101_3^10 - 35497/3797*c_0101_3^9 - 153820/3797*c_0101_3^8 + 406625/3797*c_0101_3^7 + 1430007/3797*c_0101_3^6 + 587216/3797*c_0101_3^5 - 1209121/3797*c_0101_3^4 - 1268148/3797*c_0101_3^3 - 116871/3797*c_0101_3^2 + 438118/3797*c_0101_3 + 243006/3797, c_0011_4 - 31141/3797*c_0101_3^10 - 27066/3797*c_0101_3^9 - 116654/3797*c_0101_3^8 + 302895/3797*c_0101_3^7 + 1074409/3797*c_0101_3^6 + 460836/3797*c_0101_3^5 - 874818/3797*c_0101_3^4 - 937984/3797*c_0101_3^3 - 104609/3797*c_0101_3^2 + 309595/3797*c_0101_3 + 178464/3797, c_0011_6 + 11207/3797*c_0101_3^10 + 11120/3797*c_0101_3^9 + 42735/3797*c_0101_3^8 - 103819/3797*c_0101_3^7 - 401181/3797*c_0101_3^6 - 207347/3797*c_0101_3^5 + 306827/3797*c_0101_3^4 + 366914/3797*c_0101_3^3 + 53375/3797*c_0101_3^2 - 112581/3797*c_0101_3 - 66012/3797, c_0101_0 - 46704/3797*c_0101_3^10 - 40557/3797*c_0101_3^9 - 175103/3797*c_0101_3^8 + 455840/3797*c_0101_3^7 + 1610312/3797*c_0101_3^6 + 698127/3797*c_0101_3^5 - 1326209/3797*c_0101_3^4 - 1437388/3797*c_0101_3^3 - 154250/3797*c_0101_3^2 + 479970/3797*c_0101_3 + 273317/3797, c_0101_1 + 37590/3797*c_0101_3^10 + 32045/3797*c_0101_3^9 + 140342/3797*c_0101_3^8 - 369508/3797*c_0101_3^7 - 1290852/3797*c_0101_3^6 - 541879/3797*c_0101_3^5 + 1081793/3797*c_0101_3^4 + 1152315/3797*c_0101_3^3 + 113120/3797*c_0101_3^2 - 394372/3797*c_0101_3 - 221514/3797, c_0101_3^11 + 3*c_0101_3^9 - 13*c_0101_3^8 - 26*c_0101_3^7 + 15*c_0101_3^6 + 41*c_0101_3^5 + 6*c_0101_3^4 - 23*c_0101_3^3 - 13*c_0101_3^2 + 3*c_0101_3 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB