Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 2118116025] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2205 geometric_solution 5.65624418 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 -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 0.784920145499 1.307141278682 0 1 0 1 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 -0.877438833123 0.744861766620 3 4 5 0 1302 0132 0132 0132 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 0 0 0 1 0 -1 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 0.662358978622 0.562279512062 4 2 0 5 2310 2031 0132 2310 0 0 0 0 0 1 -1 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 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 0.662358978622 0.562279512062 6 2 3 6 0132 0132 3201 3201 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460202188254 0.182582254557 3 6 6 2 3201 2310 1023 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 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 0.122561166877 0.744861766620 4 4 5 5 0132 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784920145499 1.307141278682 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_0101_6'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), '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' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3/2*c_0101_6 + 4, c_0011_0 - 1, c_0011_2 - c_0101_6 + 1, c_0011_5 + 1, c_0101_0 - c_0101_4*c_0101_6 + 2*c_0101_4, c_0101_1 - 1, c_0101_4^2 - 2*c_0101_6, c_0101_6^2 - 3*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 234/5*c_0101_6^2 + 1193/5*c_0101_6 + 387/5, c_0011_0 - 1, c_0011_2 - 2/5*c_0101_6^2 + 4/5*c_0101_6 + 1/5, c_0011_5 - c_0101_6, c_0101_0 - 2/5*c_0101_4*c_0101_6^2 + 9/5*c_0101_4*c_0101_6 + 11/5*c_0101_4, c_0101_1 - 1/5*c_0101_6^2 + 2/5*c_0101_6 + 3/5, c_0101_4^2 - 11/5*c_0101_6^2 - 3/5*c_0101_6 - 2/5, c_0101_6^3 - 5*c_0101_6^2 - 2*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3507416675/18830368*c_0101_6^6 + 1999085549/1176898*c_0101_6^5 - 33443641955/9415184*c_0101_6^4 + 235380021149/18830368*c_0101_6^3 - 16946466069/2353796*c_0101_6^2 + 127571018283/18830368*c_0101_6 + 8548655477/18830368, c_0011_0 - 1, c_0011_2 + 5537/123884*c_0101_6^6 - 11430/30971*c_0101_6^5 + 33803/61942*c_0101_6^4 - 333335/123884*c_0101_6^3 + 3501/30971*c_0101_6^2 - 318733/123884*c_0101_6 - 30919/123884, c_0011_5 - c_0101_6, c_0101_0 + 51067/123884*c_0101_4*c_0101_6^6 - 233147/61942*c_0101_4*c_0101_6^5 + 487563/61942*c_0101_4*c_0101_6^4 - 3398467/123884*c_0101_4*c_0101_6^3 + 961451/61942*c_0101_4*c_0101_6^2 - 1633569/123884*c_0101_4*c_0101_6 - 241309/123884*c_0101_4, c_0101_1 - 2669/30971*c_0101_6^6 + 22732/30971*c_0101_6^5 - 36112/30971*c_0101_6^4 + 147214/30971*c_0101_6^3 + 8352/30971*c_0101_6^2 + 14921/30971*c_0101_6 + 18741/30971, c_0101_4^2 + 4113/123884*c_0101_6^6 - 8015/30971*c_0101_6^5 + 13285/61942*c_0101_6^4 - 157643/123884*c_0101_6^3 - 64974/30971*c_0101_6^2 + 2303/123884*c_0101_6 + 5537/123884, c_0101_6^7 - 9*c_0101_6^6 + 18*c_0101_6^5 - 65*c_0101_6^4 + 31*c_0101_6^3 - 33*c_0101_6^2 - 6*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB