Magma V2.19-8 Tue Aug 20 2013 16:19:16 on localhost [Seed = 1461111384] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3387 geometric_solution 6.55412437 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499862979210 1.347757862993 0 2 4 3 0132 3201 0132 0132 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 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 0.208436055646 0.807631227384 5 6 1 0 0132 0132 2310 0132 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 1 0 -1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208436055646 0.807631227384 5 6 1 4 2103 0321 0132 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 -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 0.926712536879 1.128406417644 6 5 3 1 2031 0321 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442547688314 0.465274839003 2 6 3 4 0132 3012 2103 0321 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.926712536879 1.128406417644 5 2 4 3 1230 0132 1302 0321 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 -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 0.442547688314 0.465274839003 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0110_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_4']), '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' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 636/79*c_0110_3^5 - 4293/79*c_0110_3^4 + 5033/79*c_0110_3^3 + 11564/79*c_0110_3^2 - 8910/79*c_0110_3 - 11397/79, c_0011_0 - 1, c_0011_2 - 16/79*c_0110_3^5 + 108/79*c_0110_3^4 - 145/79*c_0110_3^3 - 199/79*c_0110_3^2 + 248/79*c_0110_3 - 74/79, c_0011_4 + 25/79*c_0110_3^5 - 149/79*c_0110_3^4 + 113/79*c_0110_3^3 + 385/79*c_0110_3^2 - 32/79*c_0110_3 - 72/79, c_0101_0 + 20/79*c_0110_3^5 - 135/79*c_0110_3^4 + 201/79*c_0110_3^3 + 150/79*c_0110_3^2 - 152/79*c_0110_3 + 53/79, c_0101_1 + 4/79*c_0110_3^5 - 27/79*c_0110_3^4 + 56/79*c_0110_3^3 - 49/79*c_0110_3^2 + 17/79*c_0110_3 + 58/79, c_0101_4 + 5/79*c_0110_3^5 - 14/79*c_0110_3^4 - 88/79*c_0110_3^3 + 235/79*c_0110_3^2 + 120/79*c_0110_3 - 46/79, c_0110_3^6 - 6*c_0110_3^5 + 4*c_0110_3^4 + 18*c_0110_3^3 - 7*c_0110_3 + 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_0, c_0101_1, c_0101_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 122/3*c_0110_3^5 - 587/3*c_0110_3^4 - 1033/3*c_0110_3^3 - 853/3*c_0110_3^2 - 476/3*c_0110_3 - 238/3, c_0011_0 - 1, c_0011_2 - c_0110_3, c_0011_4 + 4*c_0110_3^5 + 12*c_0110_3^4 + 11*c_0110_3^3 + 5*c_0110_3^2 + 4*c_0110_3 - 1, c_0101_0 + 4*c_0110_3^5 + 12*c_0110_3^4 + 9*c_0110_3^3 + 2*c_0110_3^2 + 4*c_0110_3 - 1, c_0101_1 - 2*c_0110_3^5 - 7*c_0110_3^4 - 7*c_0110_3^3 - 2*c_0110_3^2 - 2*c_0110_3, c_0101_4 - 4*c_0110_3^5 - 12*c_0110_3^4 - 11*c_0110_3^3 - 5*c_0110_3^2 - 4*c_0110_3 + 1, c_0110_3^6 + 9/2*c_0110_3^5 + 7*c_0110_3^4 + 9/2*c_0110_3^3 + 2*c_0110_3^2 + c_0110_3 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB