Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 3768679471] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2243 geometric_solution 5.67506580 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 3012 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 -1 0 1 -1 0 0 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 -0.647891051754 0.987083748716 0 4 4 5 0132 0132 2103 0132 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 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 0.179393014789 1.366157315736 4 0 0 5 3120 0132 1230 2103 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 -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 0.323101393339 0.537903454624 5 6 4 0 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.155790861567 1.584136604153 1 1 3 2 2103 0132 1023 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446597555678 0.267511125178 6 3 1 2 2310 1023 0132 2103 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.140203455857 0.423490002424 6 3 5 6 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049238212006 0.846516733124 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_2'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 109/41*c_0101_3*c_0110_2^7 + 1289/246*c_0101_3*c_0110_2^6 - 363/82*c_0101_3*c_0110_2^5 - 1093/246*c_0101_3*c_0110_2^4 + 2297/246*c_0101_3*c_0110_2^3 - 1396/123*c_0101_3*c_0110_2^2 + 1571/246*c_0101_3*c_0110_2 - 463/246*c_0101_3, c_0011_0 - 1, c_0011_3 + 281/82*c_0110_2^7 - 901/123*c_0110_2^6 + 301/41*c_0110_2^5 + 470/123*c_0110_2^4 - 2879/246*c_0110_2^3 + 4259/246*c_0110_2^2 - 1678/123*c_0110_2 + 1051/246, c_0101_0 + 35/82*c_0110_2^7 - 40/123*c_0110_2^6 - 27/41*c_0110_2^5 + 224/123*c_0110_2^4 - 173/246*c_0110_2^3 - 169/246*c_0110_2^2 + 167/123*c_0110_2 - 425/246, c_0101_1 - 55/82*c_0101_3*c_0110_2^7 + 221/123*c_0101_3*c_0110_2^6 - 63/41*c_0101_3*c_0110_2^5 - 106/123*c_0101_3*c_0110_2^4 + 799/246*c_0101_3*c_0110_2^3 - 859/246*c_0101_3*c_0110_2^2 + 458/123*c_0101_3*c_0110_2 - 35/246*c_0101_3, c_0101_2 + 55/82*c_0101_3*c_0110_2^7 - 221/123*c_0101_3*c_0110_2^6 + 63/41*c_0101_3*c_0110_2^5 + 106/123*c_0101_3*c_0110_2^4 - 799/246*c_0101_3*c_0110_2^3 + 859/246*c_0101_3*c_0110_2^2 - 335/123*c_0101_3*c_0110_2 + 35/246*c_0101_3, c_0101_3^2 - 179/82*c_0110_2^7 + 679/123*c_0110_2^6 - 252/41*c_0110_2^5 - 260/123*c_0110_2^4 + 2417/246*c_0110_2^3 - 3395/246*c_0110_2^2 + 1258/123*c_0110_2 - 1165/246, c_0110_2^8 - 7/3*c_0110_2^7 + 8/3*c_0110_2^6 + 2/3*c_0110_2^5 - 11/3*c_0110_2^4 + 6*c_0110_2^3 - 5*c_0110_2^2 + 7/3*c_0110_2 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB