Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 3836049880] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3530 geometric_solution 6.86885990 oriented_manifold CS_known -0.0000000000000009 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563293629362 1.134179098276 3 0 5 4 0132 0132 0132 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 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 0.605680842808 0.896790388068 6 5 0 3 0132 1023 0132 3201 0 0 0 0 0 1 -1 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 -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 0.605680842808 0.896790388068 1 2 3 3 0132 2310 2031 1302 0 0 0 0 0 1 0 -1 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 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 0.398858981280 0.509614555470 6 6 1 6 2103 1302 0132 3201 0 0 1 0 0 0 1 -1 0 0 -1 1 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 0 0 0 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482802488472 0.765779143551 2 5 5 1 1023 1230 3012 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 0.967900140985 0.820532927760 2 4 4 4 0132 2310 2103 2031 1 0 0 0 0 1 0 -1 0 0 0 0 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 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 0.482802488472 0.765779143551 ==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' : 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' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_5']})} 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_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 37*c_0101_3*c_0101_5 - 60*c_0101_3 + 183/5*c_0101_5 + 294/5, c_0011_0 - 1, c_0011_2 + c_0101_3 - c_0101_5, c_0011_4 - 1, c_0101_1 - c_0101_3*c_0101_5 - 2*c_0101_3 + 1, c_0101_2 - c_0101_5, c_0101_3^2 - 7/5*c_0101_3*c_0101_5 - 1/5*c_0101_3 + 3/5*c_0101_5 - 1/5, c_0101_5^2 + c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 200/13*c_0101_5^6 + 13471/104*c_0101_5^5 + 2705/13*c_0101_5^4 - 23005/104*c_0101_5^3 + 1153/26*c_0101_5^2 + 1555/4*c_0101_5 - 1881/13, c_0011_0 - 1, c_0011_2 + 19/52*c_0101_5^6 + 161/52*c_0101_5^5 + 269/52*c_0101_5^4 - 243/52*c_0101_5^3 + 17/26*c_0101_5^2 + 9*c_0101_5 - 43/13, c_0011_4 - 1, c_0101_1 + 63/104*c_0101_5^6 + 527/104*c_0101_5^5 + 829/104*c_0101_5^4 - 907/104*c_0101_5^3 + 73/26*c_0101_5^2 + 15*c_0101_5 - 159/26, c_0101_2 - 3/52*c_0101_5^6 - 11/26*c_0101_5^5 - 11/52*c_0101_5^4 + 51/26*c_0101_5^3 - 15/26*c_0101_5^2 - c_0101_5 + 15/13, c_0101_3 - 11/26*c_0101_5^6 - 183/52*c_0101_5^5 - 70/13*c_0101_5^4 + 345/52*c_0101_5^3 - 16/13*c_0101_5^2 - 10*c_0101_5 + 58/13, c_0101_5^7 + 8*c_0101_5^6 + 10*c_0101_5^5 - 20*c_0101_5^4 + 9*c_0101_5^3 + 24*c_0101_5^2 - 20*c_0101_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB