Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 997893640] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2715 geometric_solution 5.96599157 oriented_manifold CS_known 0.0000000000000004 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 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 0.714790878129 0.888304364312 0 4 0 5 0132 0132 2310 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450165364479 0.683305455242 6 3 3 0 0132 3012 2031 0132 0 0 0 0 0 0 1 -1 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 1 -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 1.118404020353 0.865675457886 2 6 0 2 1230 2310 0132 1302 0 0 0 0 0 -1 1 0 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 0 1 -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 1.118404020353 0.865675457886 5 1 5 6 3201 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155098146335 1.133953546889 6 4 1 4 2103 1230 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.155098146335 1.133953546889 2 4 5 3 0132 0321 2103 3201 0 0 0 0 0 0 0 0 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 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 1.261795211506 0.351748186305 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], '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_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 7/2*c_1001_1^6 - 21/2*c_1001_1^5 - 2*c_1001_1^4 + 15*c_1001_1^3 + 6*c_1001_1^2 - 12*c_1001_1 - 10, c_0011_0 - 1, c_0011_2 + c_1001_1^5 + c_1001_1^4 - 2*c_1001_1^3 - c_1001_1^2 + c_1001_1 + 1, c_0011_5 + c_1001_1^2 - 1, c_0101_0 - c_1001_1, c_0101_1 - 1, c_0101_2 - c_1001_1^2 + 1, c_1001_1^7 + 2*c_1001_1^6 - 2*c_1001_1^5 - 4*c_1001_1^4 + 2*c_1001_1^3 + 4*c_1001_1^2 - 2 ], 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_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1106429/2549*c_1001_1^7 - 8843702/33137*c_1001_1^6 - 21845292/33137*c_1001_1^5 + 5031361/33137*c_1001_1^4 + 19690646/33137*c_1001_1^3 - 880180/33137*c_1001_1^2 - 6076050/33137*c_1001_1 + 1524472/33137, c_0011_0 - 1, c_0011_2 + 17472/2549*c_1001_1^7 - 16057/2549*c_1001_1^6 - 30023/2549*c_1001_1^5 + 17617/2549*c_1001_1^4 + 30919/2549*c_1001_1^3 - 7219/2549*c_1001_1^2 - 12997/2549*c_1001_1 + 2340/2549, c_0011_5 - 143/2549*c_1001_1^7 + 15048/2549*c_1001_1^6 - 7388/2549*c_1001_1^5 - 22025/2549*c_1001_1^4 + 1433/2549*c_1001_1^3 + 16785/2549*c_1001_1^2 + 3029/2549*c_1001_1 - 4093/2549, c_0101_0 - c_1001_1, c_0101_1 + 61217/2549*c_1001_1^7 - 46471/2549*c_1001_1^6 - 93496/2549*c_1001_1^5 + 38418/2549*c_1001_1^4 + 89838/2549*c_1001_1^3 - 14242/2549*c_1001_1^2 - 33542/2549*c_1001_1 + 9587/2549, c_0101_2 - 19812/2549*c_1001_1^7 + 30338/2549*c_1001_1^6 + 25919/2549*c_1001_1^5 - 32289/2549*c_1001_1^4 - 32033/2549*c_1001_1^3 + 20726/2549*c_1001_1^2 + 13668/2549*c_1001_1 - 6750/2549, c_1001_1^8 - 16/13*c_1001_1^7 - 15/13*c_1001_1^6 + 17/13*c_1001_1^5 + 15/13*c_1001_1^4 - 12/13*c_1001_1^3 - 5/13*c_1001_1^2 + 5/13*c_1001_1 - 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB