Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 2294879667] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2428 geometric_solution 5.77577759 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2103 0 0 0 0 0 0 1 -1 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 1 0 -1 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 -0.282277171889 0.783111336626 0 4 5 5 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.111235147308 0.920732087548 4 0 6 0 0132 0132 0132 2103 0 0 0 0 0 0 0 0 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 1 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 0.496501474129 0.458035153455 4 6 4 0 3012 2103 3120 0132 0 0 0 0 0 1 0 -1 0 0 1 -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 -1 0 1 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 0.004824246845 1.489382895693 2 1 3 3 0132 0132 3120 1230 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 -1 1 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 0.478932150739 1.135431826174 5 1 1 5 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152394303811 0.635934496474 6 3 6 2 2310 2103 3201 0132 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 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 1.108330342356 0.986869816261 ==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' : negation(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' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_1001_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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 12054344596/4782969*c_1001_0^9 + 55658236252/4782969*c_1001_0^8 - 48789717449/4782969*c_1001_0^7 - 95589138974/4782969*c_1001_0^6 + 169992538732/4782969*c_1001_0^5 - 11172940690/4782969*c_1001_0^4 - 128708632091/4782969*c_1001_0^3 + 62269403273/4782969*c_1001_0^2 + 23413041664/4782969*c_1001_0 - 16526476258/4782969, c_0011_0 - 1, c_0011_3 - 396*c_1001_0^9 + 1804*c_1001_0^8 - 1495*c_1001_0^7 - 3236*c_1001_0^6 + 5460*c_1001_0^5 - 143*c_1001_0^4 - 4287*c_1001_0^3 + 1973*c_1001_0^2 + 797*c_1001_0 - 540, c_0011_5 - 968*c_1001_0^9 + 4404*c_1001_0^8 - 3634*c_1001_0^7 - 7911*c_1001_0^6 + 13298*c_1001_0^5 - 321*c_1001_0^4 - 10447*c_1001_0^3 + 4791*c_1001_0^2 + 1942*c_1001_0 - 1311, c_0011_6 + 576*c_1001_0^9 - 2620*c_1001_0^8 + 2160*c_1001_0^7 + 4709*c_1001_0^6 - 7909*c_1001_0^5 + 186*c_1001_0^4 + 6216*c_1001_0^3 - 2848*c_1001_0^2 - 1156*c_1001_0 + 780, c_0101_0 + 592*c_1001_0^9 - 2696*c_1001_0^8 + 2232*c_1001_0^7 + 4838*c_1001_0^6 - 8159*c_1001_0^5 + 215*c_1001_0^4 + 6406*c_1001_0^3 - 2951*c_1001_0^2 - 1189*c_1001_0 + 807, c_0101_4 - 644*c_1001_0^9 + 2932*c_1001_0^8 - 2425*c_1001_0^7 - 5264*c_1001_0^6 + 8869*c_1001_0^5 - 226*c_1001_0^4 - 6967*c_1001_0^3 + 3203*c_1001_0^2 + 1295*c_1001_0 - 876, c_1001_0^10 - 4*c_1001_0^9 + 5/4*c_1001_0^8 + 41/4*c_1001_0^7 - 37/4*c_1001_0^6 - 29/4*c_1001_0^5 + 11*c_1001_0^4 + c_1001_0^3 - 19/4*c_1001_0^2 + 1/4*c_1001_0 + 3/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB