Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 1865347920] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s038 geometric_solution 3.57468489 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 -1 0 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 -1 0 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 0.799473679368 0.418205100603 0 2 3 2 0132 1302 0132 2031 0 0 0 0 0 1 0 -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 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 0.742826885082 0.258764832447 3 1 0 1 2310 1302 0132 2031 0 0 0 0 0 1 -1 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 -1 0 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 0.742826885082 0.258764832447 4 4 2 1 0132 2310 3201 0132 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 1 -1 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 0.538535683855 0.632588868170 3 5 5 3 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.436969107989 0.268506184496 4 4 5 5 2310 0132 2031 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 4.448797205583 1.071980910139 ==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_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_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_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : 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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(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' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 87/37*c_0101_5^8 + 136/37*c_0101_5^7 - 2175/37*c_0101_5^6 + 1568/37*c_0101_5^5 + 7018/37*c_0101_5^4 - 5922/37*c_0101_5^3 - 7598/37*c_0101_5^2 + 4724/37*c_0101_5 + 2784/37, c_0011_0 - 1, c_0011_3 + 36/37*c_0101_5^8 + 203/37*c_0101_5^7 - 197/37*c_0101_5^6 - 835/37*c_0101_5^5 + 240/37*c_0101_5^4 + 1002/37*c_0101_5^3 + 1/37*c_0101_5^2 - 315/37*c_0101_5 - 32/37, c_0101_0 - 23/37*c_0101_5^8 - 141/37*c_0101_5^7 + 57/37*c_0101_5^6 + 553/37*c_0101_5^5 + 44/37*c_0101_5^4 - 634/37*c_0101_5^3 - 88/37*c_0101_5^2 + 192/37*c_0101_5 + 4/37, c_0101_1 - 23/37*c_0101_5^8 - 104/37*c_0101_5^7 + 242/37*c_0101_5^6 + 257/37*c_0101_5^5 - 474/37*c_0101_5^4 - 79/37*c_0101_5^3 + 245/37*c_0101_5^2 - 67/37*c_0101_5 - 33/37, c_0101_3 + 23/37*c_0101_5^8 + 141/37*c_0101_5^7 - 57/37*c_0101_5^6 - 553/37*c_0101_5^5 - 44/37*c_0101_5^4 + 634/37*c_0101_5^3 + 88/37*c_0101_5^2 - 192/37*c_0101_5 - 4/37, c_0101_5^9 + 4*c_0101_5^8 - 14*c_0101_5^7 - 11*c_0101_5^6 + 37*c_0101_5^5 + 8*c_0101_5^4 - 30*c_0101_5^3 - 3*c_0101_5^2 + 6*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB