Magma V2.19-8 Tue Aug 20 2013 23:56:50 on localhost [Seed = 2430007402] Type ? for help. Type -D to quit. Loading file "L14n24879__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24879 geometric_solution 11.63776292 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 -1 1 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 1 -1 -7 0 1 6 0 0 0 0 -6 7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435131866714 1.062219672607 0 4 6 5 0132 3012 0132 0132 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 0 0 0 0 0 0 0 0 7 0 -7 0 6 -6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659820842838 0.856993019457 5 0 7 3 0132 0132 0132 3120 0 1 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 1 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367042154809 0.496335541037 2 8 5 0 3120 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.367042154809 0.496335541037 1 9 0 6 1230 0132 0132 0132 0 1 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 0 -1 1 0 6 0 -6 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 0.455370642788 0.997719189349 2 6 1 3 0132 2031 0132 0132 0 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435131866714 1.062219672607 5 10 4 1 1302 0132 0132 0132 0 1 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 0 0 -7 0 0 7 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621409735559 0.829493024453 8 10 8 2 2310 2310 1302 0132 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 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 0.087605968391 0.983647516556 7 3 7 9 2031 0132 3201 1302 0 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 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 0.087605968391 0.983647516556 11 4 8 10 0132 0132 2031 2310 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 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 0.630793898119 0.688579857568 9 6 11 7 3201 0132 1230 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604804417319 1.127977401814 9 11 11 10 0132 3201 2310 3012 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840074446934 0.642347959846 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0110_10']), 'c_1001_7' : d['c_0110_8'], 'c_1001_6' : negation(d['c_0110_8']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0110_10']), 'c_1001_9' : negation(d['c_0110_8']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0110_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_10']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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_9' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], '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_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : negation(d['c_0101_2']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_10, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 8456875/125238272*c_0110_8^3 - 76543/1527296*c_0110_8^2 - 104316285/125238272*c_0110_8 - 162075961/125238272, c_0011_0 - 1, c_0011_10 - 12/157*c_0110_8^3 - 19/157*c_0110_8^2 - 88/157*c_0110_8 + 10/157, c_0011_11 - 9/157*c_0110_8^3 + 25/157*c_0110_8^2 - 66/157*c_0110_8 + 400/157, c_0011_3 - 9/157*c_0110_8^3 + 25/157*c_0110_8^2 - 66/157*c_0110_8 + 243/157, c_0011_7 - 12/157*c_0110_8^3 - 19/157*c_0110_8^2 - 245/157*c_0110_8 + 10/157, c_0101_0 - 1, c_0101_1 + 5/157*c_0110_8^3 + 21/157*c_0110_8^2 + 89/157*c_0110_8 + 179/157, c_0101_10 - 4/157*c_0110_8^3 + 46/157*c_0110_8^2 + 23/157*c_0110_8 + 422/157, c_0101_2 - 9/157*c_0110_8^3 + 25/157*c_0110_8^2 - 66/157*c_0110_8 + 243/157, c_0110_10 - 12/157*c_0110_8^3 - 19/157*c_0110_8^2 - 88/157*c_0110_8 + 10/157, c_0110_8^4 + 19*c_0110_8^2 + 5*c_0110_8 + 82, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_10, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 30451/108*c_1100_0^7 + 16865/72*c_1100_0^6 + 279467/54*c_1100_0^5 - 206162/27*c_1100_0^4 + 4293659/216*c_1100_0^3 + 2521871/54*c_1100_0^2 + 520391/24*c_1100_0 + 829625/216, c_0011_0 - 1, c_0011_10 - 2/81*c_1100_0^7 + 4/81*c_1100_0^6 - 13/27*c_1100_0^5 + 161/81*c_1100_0^4 - 427/81*c_1100_0^3 + 131/27*c_1100_0^2 - 26/81*c_1100_0 + 1/81, c_0011_11 - 1/27*c_1100_0^7 - 2/3*c_1100_0^5 + 43/27*c_1100_0^4 - 11/3*c_1100_0^3 - 10/3*c_1100_0^2 + 35/27*c_1100_0 - 1/3, c_0011_3 - 11/162*c_1100_0^7 + 13/162*c_1100_0^6 - 35/27*c_1100_0^5 + 355/81*c_1100_0^4 - 929/81*c_1100_0^3 + 317/54*c_1100_0^2 - 197/162*c_1100_0 + 50/81, c_0011_7 - 1/27*c_1100_0^7 - 2/3*c_1100_0^5 + 43/27*c_1100_0^4 - 11/3*c_1100_0^3 - 10/3*c_1100_0^2 + 35/27*c_1100_0 - 1/3, c_0101_0 - 1, c_0101_1 + 1/162*c_1100_0^7 + 2/81*c_1100_0^6 + 5/54*c_1100_0^5 + 16/81*c_1100_0^4 - 65/81*c_1100_0^3 + 221/54*c_1100_0^2 - 25/81*c_1100_0 + 109/162, c_0101_10 + 2/27*c_1100_0^7 - 1/18*c_1100_0^6 + 25/18*c_1100_0^5 - 113/27*c_1100_0^4 + 32/3*c_1100_0^3 - 19/9*c_1100_0^2 + 67/54*c_1100_0 - 5/18, c_0101_2 + 5/81*c_1100_0^7 - 17/162*c_1100_0^6 + 65/54*c_1100_0^5 - 371/81*c_1100_0^4 + 994/81*c_1100_0^3 - 269/27*c_1100_0^2 + 409/162*c_1100_0 - 47/162, c_0110_10 + 2/81*c_1100_0^7 - 4/81*c_1100_0^6 + 13/27*c_1100_0^5 - 161/81*c_1100_0^4 + 427/81*c_1100_0^3 - 140/27*c_1100_0^2 + 134/81*c_1100_0 - 28/81, c_0110_8 - 1/27*c_1100_0^7 - 2/3*c_1100_0^5 + 43/27*c_1100_0^4 - 11/3*c_1100_0^3 - 11/3*c_1100_0^2 + 44/27*c_1100_0 - 2/3, c_1100_0^8 - c_1100_0^7 + 19*c_1100_0^6 - 61*c_1100_0^5 + 160*c_1100_0^4 - 61*c_1100_0^3 + 19*c_1100_0^2 - c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB