Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 2699115949] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3409 geometric_solution 6.57734181 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1230 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 0.267802638853 0.790726895300 0 4 2 0 0132 0132 3120 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615760096709 1.134525137918 5 0 1 5 0132 0132 3120 1023 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 0.936114389561 1.909125678338 5 6 0 4 2031 0132 0132 3012 0 0 0 0 0 1 -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 0 -1 0 1 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 0.615760096709 1.134525137918 5 1 3 6 1023 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.267802638853 0.790726895300 2 4 3 2 0132 1023 1302 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018530728105 0.522415786282 6 3 4 6 3012 0132 1230 1230 0 0 0 0 0 -1 0 1 -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 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742113385401 0.774317265977 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_6']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - c_0101_6^2 + 4*c_0101_6 - 4, c_0011_0 - 1, c_0011_3 + c_0101_6^2 - c_0101_6 - 1, c_0101_0 + c_0101_6^2 - c_0101_6 - 1, c_0101_1 - 1, c_0101_2 + c_0101_6, c_0101_4 + 1, c_0101_6^3 - 2*c_0101_6^2 - c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 50/7*c_0101_6^12 - 26*c_0101_6^11 - 81/7*c_0101_6^10 + 737/7*c_0101_6^9 + 237/7*c_0101_6^8 - 1630/7*c_0101_6^7 - 867/7*c_0101_6^6 + 2131/7*c_0101_6^5 + 1507/7*c_0101_6^4 - 1395/7*c_0101_6^3 - 1181/7*c_0101_6^2 + 368/7*c_0101_6 + 268/7, c_0011_0 - 1, c_0011_3 - 2/7*c_0101_6^12 + c_0101_6^11 + 1/7*c_0101_6^10 - 25/7*c_0101_6^9 + 2/7*c_0101_6^8 + 54/7*c_0101_6^7 + 5/7*c_0101_6^6 - 76/7*c_0101_6^5 - 18/7*c_0101_6^4 + 53/7*c_0101_6^3 + 10/7*c_0101_6^2 - 15/7*c_0101_6 + 3/7, c_0101_0 + 3/7*c_0101_6^12 - 26/7*c_0101_6^10 - 8/7*c_0101_6^9 + 81/7*c_0101_6^8 + 66/7*c_0101_6^7 - 109/7*c_0101_6^6 - 159/7*c_0101_6^5 + 27/7*c_0101_6^4 + 134/7*c_0101_6^3 + 48/7*c_0101_6^2 - 16/7*c_0101_6 - 8/7, c_0101_1 - 1, c_0101_2 + 6/7*c_0101_6^12 - 2*c_0101_6^11 - 24/7*c_0101_6^10 + 47/7*c_0101_6^9 + 78/7*c_0101_6^8 - 64/7*c_0101_6^7 - 155/7*c_0101_6^6 + 18/7*c_0101_6^5 + 152/7*c_0101_6^4 + 37/7*c_0101_6^3 - 58/7*c_0101_6^2 - 25/7*c_0101_6 + 5/7, c_0101_4 - 4/7*c_0101_6^12 + c_0101_6^11 + 23/7*c_0101_6^10 - 22/7*c_0101_6^9 - 80/7*c_0101_6^8 + 10/7*c_0101_6^7 + 150/7*c_0101_6^6 + 58/7*c_0101_6^5 - 127/7*c_0101_6^4 - 97/7*c_0101_6^3 + 34/7*c_0101_6^2 + 40/7*c_0101_6 - 1/7, c_0101_6^13 - 3*c_0101_6^12 - 4*c_0101_6^11 + 14*c_0101_6^10 + 14*c_0101_6^9 - 31*c_0101_6^8 - 37*c_0101_6^7 + 35*c_0101_6^6 + 56*c_0101_6^5 - 15*c_0101_6^4 - 41*c_0101_6^3 - 2*c_0101_6^2 + 11*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB