Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 1174919749] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s439 geometric_solution 4.75170197 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389223010421 0.222238408737 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.673230370803 0.884061234093 1 4 3 3 0132 0132 3012 1230 0 0 0 0 0 0 1 -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 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 1.280896351866 1.274407846935 2 2 4 1 3012 1230 0132 0132 0 0 0 0 0 0 0 0 1 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 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 1.280896351866 1.274407846935 5 2 5 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673230370803 0.884061234093 4 4 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389223010421 0.222238408737 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/2, c_0011_0 - 1, c_0011_1 + 1, c_0011_3 - 1, c_0101_0 - c_0101_3, c_0101_3^2 - 2, c_0101_4 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 11/2*c_0101_3^2 - 41/2, c_0011_0 - 1, c_0011_1 + c_0101_3^2 - 1, c_0011_3 + c_0101_3^2, c_0101_0 - c_0101_3, c_0101_3^4 - 4*c_0101_3^2 + 1, c_0101_4 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4*c_0101_3^6 - 53/2*c_0101_3^4 + 50*c_0101_3^2 - 33/2, c_0011_0 - 1, c_0011_1 + c_0101_3^2 - 1, c_0011_3 + c_0101_3^4 - 3*c_0101_3^2 + 1, c_0101_0 + c_0101_3, c_0101_3^8 - 7*c_0101_3^6 + 15*c_0101_3^4 - 9*c_0101_3^2 + 2, c_0101_4 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 54558/701*c_0101_4^7 - 1952047/1402*c_0101_4^6 + 5839030/701*c_0101_4^5 - 18722166/701*c_0101_4^4 + 54989491/1402*c_0101_4^3 - 16302506/701*c_0101_4^2 + 4100668/701*c_0101_4 - 1010057/1402, c_0011_0 - 1, c_0011_1 - 45/2804*c_0101_4^7 + 769/2804*c_0101_4^6 - 1058/701*c_0101_4^5 + 12611/2804*c_0101_4^4 - 15791/2804*c_0101_4^3 + 2609/701*c_0101_4^2 - 5765/2804*c_0101_4 - 399/2804, c_0011_3 + 45/2804*c_0101_4^7 - 769/2804*c_0101_4^6 + 1058/701*c_0101_4^5 - 12611/2804*c_0101_4^4 + 15791/2804*c_0101_4^3 - 2609/701*c_0101_4^2 + 8569/2804*c_0101_4 - 2405/2804, c_0101_0 + 6751/5608*c_0101_3*c_0101_4^7 - 120803/5608*c_0101_3*c_0101_4^6 + 180753/1402*c_0101_3*c_0101_4^5 - 2318985/5608*c_0101_3*c_0101_4^4 + 3406253/5608*c_0101_3*c_0101_4^3 - 502845/1402*c_0101_3*c_0101_4^2 + 482111/5608*c_0101_3*c_0101_4 - 54123/5608*c_0101_3, c_0101_3^2 - 41/2804*c_0101_4^7 + 673/2804*c_0101_4^6 - 841/701*c_0101_4^5 + 8599/2804*c_0101_4^4 - 5539/2804*c_0101_4^3 - 916/701*c_0101_4^2 - 1209/2804*c_0101_4 + 45/2804, c_0101_4^8 - 18*c_0101_4^7 + 109*c_0101_4^6 - 355*c_0101_4^5 + 542*c_0101_4^4 - 355*c_0101_4^3 + 109*c_0101_4^2 - 18*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB