Magma V2.19-8 Tue Aug 20 2013 17:55:25 on localhost [Seed = 2446337626] Type ? for help. Type -D to quit. Loading file "10_141__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_141 geometric_solution 7.93647423 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -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 -0.188934941903 0.973591737378 0 4 5 3 0132 0321 0132 0321 0 0 0 0 0 0 0 0 1 0 0 -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 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 -0.012133485279 1.300049093920 4 0 7 6 0321 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -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 0.503477256842 0.412286055311 8 1 6 0 0132 0321 2103 0132 0 0 0 0 0 0 0 0 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 0 -1 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 0.720639516450 1.179987154678 2 7 0 1 0321 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446458004496 0.235353104812 8 6 8 1 2103 2310 0213 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623035565239 0.617247848104 3 7 2 5 2103 0213 0132 3201 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 0 -1 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 0.623035565239 0.617247848104 8 4 6 2 3012 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007178409564 0.769134723873 3 5 5 7 0132 0213 2103 1230 0 0 0 0 0 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 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189987901489 0.802487454391 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_0011_5'], 's_2_8' : d['1'], 's_2_0' : negation(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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0011_5']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0110_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1793/71*c_1001_2^5 - 21076/71*c_1001_2^4 + 1340/71*c_1001_2^3 + 27539/71*c_1001_2^2 - 7089/71*c_1001_2 - 18407/71, c_0011_0 - 1, c_0011_3 - 10/71*c_1001_2^5 - 116/71*c_1001_2^4 + 23/71*c_1001_2^3 + 115/71*c_1001_2^2 - 100/71*c_1001_2 - 69/71, c_0011_4 + 5/71*c_1001_2^5 + 60/71*c_1001_2^4 + 5/71*c_1001_2^3 - 144/71*c_1001_2^2 + 31/71*c_1001_2 + 72/71, c_0011_5 - 3/71*c_1001_2^5 - 41/71*c_1001_2^4 - 62/71*c_1001_2^3 + 79/71*c_1001_2^2 + 36/71*c_1001_2 - 34/71, c_0011_6 - 11/71*c_1001_2^5 - 128/71*c_1001_2^4 + 22/71*c_1001_2^3 + 158/71*c_1001_2^2 - 21/71*c_1001_2 - 55/71, c_0101_1 + 4/71*c_1001_2^5 + 53/71*c_1001_2^4 + 63/71*c_1001_2^3 - 122/71*c_1001_2^2 - 44/71*c_1001_2 + 91/71, c_0110_6 - 1/71*c_1001_2^5 - 7/71*c_1001_2^4 + 58/71*c_1001_2^3 + 22/71*c_1001_2^2 - 75/71*c_1001_2 + 19/71, c_1001_0 - 7/71*c_1001_2^5 - 75/71*c_1001_2^4 + 85/71*c_1001_2^3 + 36/71*c_1001_2^2 - 136/71*c_1001_2 - 35/71, c_1001_2^6 + 12*c_1001_2^5 + 2*c_1001_2^4 - 17*c_1001_2^3 + 2*c_1001_2^2 + 12*c_1001_2 + 1 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0110_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 199/58*c_1001_0^6 + 67/58*c_1001_0^5 - 239/58*c_1001_0^4 + 509/58*c_1001_0^3 - 1221/58*c_1001_0^2 + 574/29*c_1001_0 - 668/29, c_0011_0 - 1, c_0011_3 - 7/29*c_1001_0^6 + 6/29*c_1001_0^5 + 5/29*c_1001_0^4 + 30/29*c_1001_0^3 - 60/29*c_1001_0^2 + 21/29*c_1001_0 - 11/29, c_0011_4 + 1/29*c_1001_0^6 - 5/29*c_1001_0^5 - 9/29*c_1001_0^4 + 4/29*c_1001_0^3 + 21/29*c_1001_0^2 - 3/29*c_1001_0 - 15/29, c_0011_5 + 7/29*c_1001_0^6 - 6/29*c_1001_0^5 - 5/29*c_1001_0^4 - 30/29*c_1001_0^3 + 60/29*c_1001_0^2 - 21/29*c_1001_0 + 11/29, c_0011_6 + 12/29*c_1001_0^6 - 2/29*c_1001_0^5 + 8/29*c_1001_0^4 - 39/29*c_1001_0^3 + 49/29*c_1001_0^2 - 36/29*c_1001_0 + 23/29, c_0101_1 - 13/29*c_1001_0^6 + 7/29*c_1001_0^5 + 1/29*c_1001_0^4 + 35/29*c_1001_0^3 - 70/29*c_1001_0^2 + 39/29*c_1001_0 - 8/29, c_0110_6 + 1/29*c_1001_0^6 - 5/29*c_1001_0^5 - 9/29*c_1001_0^4 + 4/29*c_1001_0^3 + 21/29*c_1001_0^2 - 3/29*c_1001_0 - 15/29, c_1001_0^7 - c_1001_0^6 - 3*c_1001_0^4 + 8*c_1001_0^3 - 6*c_1001_0^2 + 2*c_1001_0 - 2, c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB