Magma V2.19-8 Wed Aug 21 2013 01:03:49 on localhost [Seed = 2968955025] Type ? for help. Type -D to quit. Loading file "L14n225__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n225 geometric_solution 11.66385491 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 1 -1 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931066522176 1.412062583792 0 4 6 5 0132 1023 0132 0132 1 1 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 0 0 0 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 0.233000569284 1.148429518505 5 0 7 3 0132 0132 0132 3120 1 1 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 0 0 0 0 0 0 -7 6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610431188152 0.623600888965 2 8 9 0 3120 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 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 0.440572127892 0.461086204248 1 7 0 10 1023 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 -6 0 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472740893485 0.480388442718 2 11 1 7 0132 0132 0132 1302 1 1 1 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 1 0 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 0.565191898367 0.669683363072 11 10 7 1 0213 3120 1302 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 -0.373269177069 0.487813975284 6 4 5 2 2031 0132 2031 0132 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 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 1.154829049929 0.611456108335 10 3 11 12 3012 0132 0321 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 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 1.064441430506 0.877323571647 12 12 12 3 3012 0132 1302 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 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 0.916726129281 1.133713654564 11 6 4 8 3012 3120 0132 1230 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 7 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456679240684 0.906092206444 6 5 8 10 0213 0132 0321 1230 1 1 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 1 -1 0 1 0 -1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.877569182713 0.649467014394 9 9 8 9 2031 0132 0132 1230 1 1 0 1 0 0 0 0 0 0 0 0 2 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568740200651 0.533338264908 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_9' : d['c_0101_12'], 'c_1100_8' : d['c_0101_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0101_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_12'], '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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0110_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' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : d['c_0011_6'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0011_6']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 641576777/1830520832000*c_1001_2^3 - 85732893/52300595200*c_1001_2^2 - 10985547791/1830520832000*c_1001_2 - 12105280041/1830520832000, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_2 + 1/2, c_0011_12 + 1, c_0011_3 - 1/2*c_1001_2^2 - c_1001_2 - 5/2, c_0011_6 + 1/8*c_1001_2^3 + 5/8*c_1001_2^2 + 11/8*c_1001_2 + 7/8, c_0101_0 + 1/8*c_1001_2^3 + 5/8*c_1001_2^2 + 11/8*c_1001_2 + 7/8, c_0101_10 - 1/2*c_1001_2 - 3/2, c_0101_12 - 1/8*c_1001_2^3 - 9/8*c_1001_2^2 - 19/8*c_1001_2 - 27/8, c_0101_2 - 1/8*c_1001_2^3 - 3/8*c_1001_2^2 - 11/8*c_1001_2 - 17/8, c_0101_3 + 1/8*c_1001_2^3 + 1/8*c_1001_2^2 + 3/8*c_1001_2 - 13/8, c_0101_7 - 1/2*c_1001_2^2 - c_1001_2 - 7/2, c_1001_12 - c_1001_2^2 - 2*c_1001_2 - 5, c_1001_2^4 + 4*c_1001_2^3 + 18*c_1001_2^2 + 20*c_1001_2 + 37 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 607245/31674368*c_1001_2^5 - 459845/7918592*c_1001_2^4 + 1298569/15837184*c_1001_2^3 - 74755/7918592*c_1001_2^2 + 667883/2879488*c_1001_2 - 645091/3959296, c_0011_0 - 1, c_0011_10 - 45/64*c_1001_2^5 + 95/64*c_1001_2^4 - 39/32*c_1001_2^3 - 7/32*c_1001_2^2 - 485/64*c_1001_2 + 15/64, c_0011_12 + 1, c_0011_3 + 15/32*c_1001_2^5 - 25/32*c_1001_2^4 + 3/16*c_1001_2^3 + 7/16*c_1001_2^2 + 171/32*c_1001_2 + 43/32, c_0011_6 + 55/64*c_1001_2^5 - 115/64*c_1001_2^4 + 41/32*c_1001_2^3 + 31/32*c_1001_2^2 + 551/64*c_1001_2 + 5/64, c_0101_0 + 55/64*c_1001_2^5 - 115/64*c_1001_2^4 + 41/32*c_1001_2^3 + 31/32*c_1001_2^2 + 551/64*c_1001_2 + 5/64, c_0101_10 - 45/64*c_1001_2^5 + 95/64*c_1001_2^4 - 39/32*c_1001_2^3 - 7/32*c_1001_2^2 - 421/64*c_1001_2 - 49/64, c_0101_12 + 25/64*c_1001_2^5 - 65/64*c_1001_2^4 + 35/32*c_1001_2^3 + 17/32*c_1001_2^2 + 209/64*c_1001_2 - 81/64, c_0101_2 - 45/64*c_1001_2^5 + 85/64*c_1001_2^4 - 29/32*c_1001_2^3 - 19/32*c_1001_2^2 - 457/64*c_1001_2 - 95/64, c_0101_3 - 85/64*c_1001_2^5 + 165/64*c_1001_2^4 - 47/32*c_1001_2^3 - 45/32*c_1001_2^2 - 893/64*c_1001_2 - 91/64, c_0101_7 - 35/32*c_1001_2^5 + 65/32*c_1001_2^4 - 17/16*c_1001_2^3 - 25/16*c_1001_2^2 - 347/32*c_1001_2 - 79/32, c_1001_12 - 15/16*c_1001_2^5 + 25/16*c_1001_2^4 - 3/8*c_1001_2^3 - 7/8*c_1001_2^2 - 171/16*c_1001_2 - 43/16, c_1001_2^6 - 2*c_1001_2^5 + 7/5*c_1001_2^4 + 4/5*c_1001_2^3 + 51/5*c_1001_2^2 + 6/5*c_1001_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB