Magma V2.19-8 Tue Aug 20 2013 16:18:40 on localhost [Seed = 3431813568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2839 geometric_solution 6.06145440 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 1230 0132 0132 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 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 0.222949226087 0.995227722633 0 4 0 5 0132 0132 3012 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785663784149 0.956779925739 2 3 2 0 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300053390938 1.065701341565 4 4 0 2 0132 1302 0132 3201 0 0 0 1 0 -1 0 1 1 0 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 -1 1 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222949226087 0.995227722633 3 1 5 3 0132 0132 1302 2031 0 0 1 0 0 0 0 0 -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 0 0 0 0 0 -1 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487397313231 0.624246618560 4 6 1 6 2031 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692453265069 0.421513288033 6 5 6 5 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585101699769 0.116486731585 ==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' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0101_1']})} 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_5, c_0101_0, c_0101_1, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1169/127*c_0110_6^8 - 4213/254*c_0110_6^7 - 7627/254*c_0110_6^6 + 2585/127*c_0110_6^5 - 15738/127*c_0110_6^4 - 4919/127*c_0110_6^3 - 9471/254*c_0110_6^2 - 1941/127*c_0110_6 + 759/127, c_0011_0 - 1, c_0011_2 - 247/508*c_0110_6^8 + 971/1016*c_0110_6^7 + 1273/1016*c_0110_6^6 - 491/508*c_0110_6^5 + 3715/508*c_0110_6^4 + 497/1016*c_0110_6^3 + 4313/1016*c_0110_6^2 + 557/1016*c_0110_6 - 451/1016, c_0011_5 - 755/254*c_0110_6^8 + 3003/508*c_0110_6^7 + 4575/508*c_0110_6^6 - 2269/254*c_0110_6^5 + 5096/127*c_0110_6^4 + 3037/508*c_0110_6^3 + 2789/508*c_0110_6^2 + 303/508*c_0110_6 - 1721/508, c_0101_0 - 1, c_0101_1 - 2291/1016*c_0110_6^8 + 9031/2032*c_0110_6^7 + 14621/2032*c_0110_6^6 - 7233/1016*c_0110_6^5 + 29677/1016*c_0110_6^4 + 11329/2032*c_0110_6^3 + 2725/2032*c_0110_6^2 - 2067/2032*c_0110_6 - 4903/2032, c_0110_5 - 483/127*c_0110_6^8 + 1835/254*c_0110_6^7 + 3095/254*c_0110_6^6 - 1300/127*c_0110_6^5 + 12729/254*c_0110_6^4 + 1459/127*c_0110_6^3 + 1125/127*c_0110_6^2 + 175/254*c_0110_6 - 506/127, c_0110_6^9 - 3/2*c_0110_6^8 - 4*c_0110_6^7 + 3/2*c_0110_6^6 - 12*c_0110_6^5 - 17/2*c_0110_6^4 - 3*c_0110_6^3 - c_0110_6^2 + c_0110_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB