Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 3246415101] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3532 geometric_solution 6.88481368 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423441763749 0.584565844377 3 2 4 0 0132 3012 0132 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708364904862 0.921353675880 1 5 0 4 1230 0132 0132 2310 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 -1 1 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 0.708364904862 0.921353675880 1 5 5 6 0132 3012 1230 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 0.815204267521 0.995768708064 2 6 6 1 3201 3120 2031 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287859636573 0.867415350920 3 2 6 3 1230 0132 3201 3012 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 0.815204267521 0.995768708064 5 4 3 4 2310 3120 0132 1302 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 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 0.565391214552 0.688669037684 ==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' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 11322795/26404*c_0101_5^8 + 40543921/13202*c_0101_5^7 - 479135827/52808*c_0101_5^6 + 145602651/52808*c_0101_5^5 + 138466763/6601*c_0101_5^4 + 635748067/26404*c_0101_5^3 + 90525665/7544*c_0101_5^2 + 2593117/574*c_0101_5 + 142505331/52808, c_0011_0 - 1, c_0011_1 - 591/13202*c_0101_5^8 + 4461/13202*c_0101_5^7 - 29637/26404*c_0101_5^6 + 27735/26404*c_0101_5^5 + 5445/6601*c_0101_5^4 + 16262/6601*c_0101_5^3 + 11421/3772*c_0101_5^2 + 1041/574*c_0101_5 + 12791/26404, c_0011_2 - 591/13202*c_0101_5^8 + 4461/13202*c_0101_5^7 - 29637/26404*c_0101_5^6 + 27735/26404*c_0101_5^5 + 5445/6601*c_0101_5^4 + 16262/6601*c_0101_5^3 + 11421/3772*c_0101_5^2 + 1041/574*c_0101_5 + 12791/26404, c_0011_4 - c_0101_5, c_0101_0 + 1928/6601*c_0101_5^8 - 27129/13202*c_0101_5^7 + 77685/13202*c_0101_5^6 - 5667/6601*c_0101_5^5 - 101134/6601*c_0101_5^4 - 230689/13202*c_0101_5^3 - 9046/943*c_0101_5^2 - 1543/574*c_0101_5 - 7673/6601, c_0101_1 - 3127/26404*c_0101_5^8 + 6127/6601*c_0101_5^7 - 40501/13202*c_0101_5^6 + 61763/26404*c_0101_5^5 + 150737/26404*c_0101_5^4 + 56071/26404*c_0101_5^3 - 3383/1886*c_0101_5^2 - 841/1148*c_0101_5 + 5765/26404, c_0101_5^9 - 7*c_0101_5^8 + 20*c_0101_5^7 - 3*c_0101_5^6 - 50*c_0101_5^5 - 64*c_0101_5^4 - 37*c_0101_5^3 - 15*c_0101_5^2 - 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB