Magma V2.19-8 Tue Aug 20 2013 16:18:56 on localhost [Seed = 4054871192] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3099 geometric_solution 6.26337824 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 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 0.418213867287 1.039329875605 0 2 4 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143339801384 0.963556989293 3 5 1 0 3201 0132 2310 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 0 0 0 -1 0 0 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 0.143339801384 0.963556989293 6 6 1 2 0132 3201 0132 2310 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 0 -1 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 0.211185730380 2.170540041659 5 5 5 1 2031 0321 3201 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.386292198827 0.577907055812 4 2 4 4 2310 0132 1302 0321 0 1 0 0 0 0 0 0 1 0 -1 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 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 0.386292198827 0.577907055812 3 6 3 6 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.501476834922 0.714899435308 ==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_3'], 'c_1100_5' : d['c_0011_4'], '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_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], '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_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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_4'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), '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' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], '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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2265864/919*c_0101_2^9 - 75003592/4595*c_0101_2^8 + 73483432/4595*c_0101_2^7 + 135537322/4595*c_0101_2^6 - 92799536/919*c_0101_2^5 + 599852728/4595*c_0101_2^4 - 502980369/4595*c_0101_2^3 + 307579808/4595*c_0101_2^2 - 109865004/4595*c_0101_2 + 14999149/4595, c_0011_0 - 1, c_0011_2 + 25858/919*c_0101_2^9 - 166202/919*c_0101_2^8 + 137634/919*c_0101_2^7 + 324251/919*c_0101_2^6 - 991725/919*c_0101_2^5 + 1204137/919*c_0101_2^4 - 977899/919*c_0101_2^3 + 575404/919*c_0101_2^2 - 185197/919*c_0101_2 + 22117/919, c_0011_3 - 9336/919*c_0101_2^9 + 58030/919*c_0101_2^8 - 37560/919*c_0101_2^7 - 123928/919*c_0101_2^6 + 330619/919*c_0101_2^5 - 367434/919*c_0101_2^4 + 282200/919*c_0101_2^3 - 155278/919*c_0101_2^2 + 39006/919*c_0101_2 - 2463/919, c_0011_4 - 1, c_0101_0 - 18376/919*c_0101_2^9 + 117578/919*c_0101_2^8 - 94270/919*c_0101_2^7 - 233606/919*c_0101_2^6 + 696671/919*c_0101_2^5 - 834167/919*c_0101_2^4 + 671057/919*c_0101_2^3 - 392993/919*c_0101_2^2 + 123160/919*c_0101_2 - 13856/919, c_0101_1 - 25858/919*c_0101_2^9 + 166202/919*c_0101_2^8 - 137634/919*c_0101_2^7 - 324251/919*c_0101_2^6 + 991725/919*c_0101_2^5 - 1204137/919*c_0101_2^4 + 977899/919*c_0101_2^3 - 575404/919*c_0101_2^2 + 186116/919*c_0101_2 - 22117/919, c_0101_2^10 - 7*c_0101_2^9 + 9*c_0101_2^8 + 19/2*c_0101_2^7 - 91/2*c_0101_2^6 + 137/2*c_0101_2^5 - 129/2*c_0101_2^4 + 44*c_0101_2^3 - 20*c_0101_2^2 + 5*c_0101_2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB