Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 947496191] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2201 geometric_solution 5.65488928 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740523742190 1.475305445653 0 4 5 4 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 0.423979528218 0.299713723238 3 0 0 4 1302 0132 2031 0132 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 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 0 0 0 0 0.728238351746 0.541416050218 6 2 6 0 0132 2031 2310 0132 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 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 -0.181548442023 0.813840440363 1 1 2 5 3120 0132 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.366182057787 0.710848886834 4 6 6 1 3012 0213 2031 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 0.399950857734 0.682222321397 3 3 5 5 0132 3201 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465347508776 0.249073016791 ==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_0101_5'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_3, c_0011_5, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 688665/95456*c_0101_5^9 + 231253/5024*c_0101_5^8 - 2224893/47728*c_0101_5^7 - 8313443/95456*c_0101_5^6 + 11606261/95456*c_0101_5^5 + 5036739/47728*c_0101_5^4 - 1965269/11932*c_0101_5^3 - 12803709/95456*c_0101_5^2 + 12336559/95456*c_0101_5 + 8791787/95456, c_0011_0 - 1, c_0011_3 + 1219/2983*c_0101_5^9 - 381/157*c_0101_5^8 + 5274/2983*c_0101_5^7 + 13619/2983*c_0101_5^6 - 12180/2983*c_0101_5^5 - 18550/2983*c_0101_5^4 + 17007/2983*c_0101_5^3 + 23703/2983*c_0101_5^2 - 9946/2983*c_0101_5 - 10674/2983, c_0011_5 + 4233/5966*c_0101_5^9 - 591/157*c_0101_5^8 + 2107/5966*c_0101_5^7 + 31872/2983*c_0101_5^6 - 15003/2983*c_0101_5^5 - 44399/2983*c_0101_5^4 + 21912/2983*c_0101_5^3 + 105253/5966*c_0101_5^2 - 6416/2983*c_0101_5 - 24861/2983, c_0101_1 - 1470/2983*c_0101_5^9 + 935/314*c_0101_5^8 - 7537/2983*c_0101_5^7 - 29007/5966*c_0101_5^6 + 16697/2983*c_0101_5^5 + 18349/2983*c_0101_5^4 - 20132/2983*c_0101_5^3 - 23501/2983*c_0101_5^2 + 24191/5966*c_0101_5 + 9003/2983, c_0101_3 - 6539/5966*c_0101_5^9 + 943/157*c_0101_5^8 - 9397/5966*c_0101_5^7 - 48182/2983*c_0101_5^6 + 28491/2983*c_0101_5^5 + 66484/2983*c_0101_5^4 - 39464/2983*c_0101_5^3 - 164721/5966*c_0101_5^2 + 17627/2983*c_0101_5 + 42083/2983, c_0101_4 - 4233/5966*c_0101_5^9 + 591/157*c_0101_5^8 - 2107/5966*c_0101_5^7 - 31872/2983*c_0101_5^6 + 15003/2983*c_0101_5^5 + 44399/2983*c_0101_5^4 - 21912/2983*c_0101_5^3 - 105253/5966*c_0101_5^2 + 6416/2983*c_0101_5 + 24861/2983, c_0101_5^10 - 7*c_0101_5^9 + 10*c_0101_5^8 + 11*c_0101_5^7 - 29*c_0101_5^6 - 6*c_0101_5^5 + 40*c_0101_5^4 + 5*c_0101_5^3 - 39*c_0101_5^2 - 3*c_0101_5 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB