Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 3768679644] 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' : 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_4'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : 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 + 81481/10787*c_0101_3^10 + 8087/161*c_0101_3^9 + 13176/1541*c_0101_3^8 - 1729230/10787*c_0101_3^7 + 642202/10787*c_0101_3^6 + 3423687/10787*c_0101_3^5 - 2481324/10787*c_0101_3^4 - 4328127/10787*c_0101_3^3 + 1867373/10787*c_0101_3^2 + 2010070/10787*c_0101_3 - 47297/1541, c_0011_0 - 1, c_0011_2 + 8941/10787*c_0101_3^10 + 873/161*c_0101_3^9 + 312/10787*c_0101_3^8 - 207723/10787*c_0101_3^7 + 114169/10787*c_0101_3^6 + 390522/10787*c_0101_3^5 - 390741/10787*c_0101_3^4 - 415514/10787*c_0101_3^3 + 326723/10787*c_0101_3^2 + 23796/1541*c_0101_3 - 50446/10787, c_0011_4 - 4507/10787*c_0101_3^10 - 456/161*c_0101_3^9 - 4100/10787*c_0101_3^8 + 123803/10787*c_0101_3^7 - 34787/10787*c_0101_3^6 - 261944/10787*c_0101_3^5 + 210472/10787*c_0101_3^4 + 323732/10787*c_0101_3^3 - 232723/10787*c_0101_3^2 - 21929/1541*c_0101_3 + 47500/10787, c_0011_6 - 1577/10787*c_0101_3^10 - 236/161*c_0101_3^9 - 26625/10787*c_0101_3^8 + 84327/10787*c_0101_3^7 + 42785/10787*c_0101_3^6 - 242689/10787*c_0101_3^5 + 86815/10787*c_0101_3^4 + 325060/10787*c_0101_3^3 - 150211/10787*c_0101_3^2 - 21145/1541*c_0101_3 + 35102/10787, c_0101_0 - 6422/10787*c_0101_3^10 - 641/161*c_0101_3^9 - 6663/10787*c_0101_3^8 + 148978/10787*c_0101_3^7 - 52684/10787*c_0101_3^6 - 307939/10787*c_0101_3^5 + 234099/10787*c_0101_3^4 + 382800/10787*c_0101_3^3 - 218432/10787*c_0101_3^2 - 25434/1541*c_0101_3 + 44043/10787, c_0101_1 + 3476/10787*c_0101_3^10 + 311/161*c_0101_3^9 - 12438/10787*c_0101_3^8 - 83324/10787*c_0101_3^7 + 77684/10787*c_0101_3^6 + 131339/10787*c_0101_3^5 - 212431/10787*c_0101_3^4 - 114151/10787*c_0101_3^3 + 183536/10787*c_0101_3^2 + 7376/1541*c_0101_3 - 30598/10787, c_0101_3^11 + 6*c_0101_3^10 - 3*c_0101_3^9 - 21*c_0101_3^8 + 20*c_0101_3^7 + 33*c_0101_3^6 - 51*c_0101_3^5 - 30*c_0101_3^4 + 43*c_0101_3^3 + 11*c_0101_3^2 - 9*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB