Magma V2.19-8 Tue Aug 20 2013 16:19:21 on localhost [Seed = 2244221058] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3455 geometric_solution 6.64685604 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 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 -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 0.236805145333 0.781170400689 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 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 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 0.836676330532 1.197692928552 5 0 4 1 0132 0132 0132 3012 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 -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 0 0 0 0.836676330532 1.197692928552 5 1 5 6 1023 0132 0132 0132 0 0 0 0 0 1 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 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 0.021559731927 0.757283243108 6 6 1 2 3201 1023 0132 0132 0 0 0 0 0 1 -1 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 -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 0.730110099066 0.717375870806 2 3 6 3 0132 1023 2310 0132 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 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 0.021559731927 0.757283243108 4 5 3 4 1023 3201 0132 2310 0 0 0 0 0 -1 1 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 -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 0.459411542366 1.221130372504 ==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_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_6'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 7/24*c_0101_6^3 + 1/6*c_0101_6^2 + 21/16*c_0101_6 - 1/3, c_0011_0 - 1, c_0011_4 - 2/3*c_0101_6^3 + 2/3*c_0101_6^2 + 2*c_0101_6 - 4/3, c_0101_0 - 2/3*c_0101_6^3 - 4/3*c_0101_6^2 + c_0101_6 + 2/3, c_0101_1 + 1, c_0101_2 + c_0101_6, c_0101_5 - 4/3*c_0101_6^3 - 2/3*c_0101_6^2 + 3*c_0101_6 - 2/3, c_0101_6^4 - 5/2*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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 29078*c_0101_6^7 + 34395*c_0101_6^6 - 11466*c_0101_6^5 - 52989/2*c_0101_6^4 + 12761/2*c_0101_6^3 + 15042*c_0101_6^2 - 976*c_0101_6 - 5919/2, c_0011_0 - 1, c_0011_4 + 22165*c_0101_6^7 + 63651/2*c_0101_6^6 + 1449/2*c_0101_6^5 - 17618*c_0101_6^4 + 1067*c_0101_6^3 + 21543/2*c_0101_6^2 + 1808*c_0101_6 - 1137, c_0101_0 + 22165*c_0101_6^7 + 63651/2*c_0101_6^6 + 1449/2*c_0101_6^5 - 17618*c_0101_6^4 + 1067*c_0101_6^3 + 21543/2*c_0101_6^2 + 1808*c_0101_6 - 1137, c_0101_1 - 37169/2*c_0101_6^7 - 26650*c_0101_6^6 - 587*c_0101_6^5 + 29503/2*c_0101_6^4 - 1817/2*c_0101_6^3 - 18031/2*c_0101_6^2 - 3019/2*c_0101_6 + 950, c_0101_2 + c_0101_6, c_0101_5 - 35247*c_0101_6^7 - 50603*c_0101_6^6 - 2295/2*c_0101_6^5 + 56025/2*c_0101_6^4 - 1700*c_0101_6^3 - 17125*c_0101_6^2 - 5747/2*c_0101_6 + 1808, c_0101_6^8 + 64/31*c_0101_6^7 + 29/31*c_0101_6^6 - 24/31*c_0101_6^5 - 14/31*c_0101_6^4 + 16/31*c_0101_6^3 + 12/31*c_0101_6^2 - 1/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB