Magma V2.19-8 Wed Aug 21 2013 00:48:00 on localhost [Seed = 1696821725] Type ? for help. Type -D to quit. Loading file "K14n8273__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n8273 geometric_solution 11.35327886 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 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 1 0 0 0 1 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337307222931 0.507204108008 0 0 5 4 0132 1230 0132 0132 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.951573680953 0.728304422128 6 0 8 7 0132 0132 0132 0132 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 -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 0.375709137441 0.623133974691 5 9 0 6 0132 0132 0132 2103 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 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 1.090894940207 1.367008440945 10 11 1 7 0132 0132 0132 2103 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 -1 1 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 0.451229498660 0.767932308599 3 8 9 1 0132 1023 1302 0132 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 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 0.643354310973 0.446915325535 2 12 8 3 0132 0132 2310 2103 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.192368313929 0.648851317609 10 12 2 4 1023 3012 0132 2103 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.989892962434 2.603355096501 5 6 10 2 1023 3201 3120 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 -1 0 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 0.059093937597 0.782943580293 5 3 12 11 2031 0132 3120 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143047030277 0.478950029160 4 7 8 11 0132 1023 3120 1023 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 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 0.713981987636 1.661788370121 12 4 9 10 3012 0132 1230 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063632146353 0.467785476470 7 6 9 11 1230 0132 3120 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854655903996 0.426964272333 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_1001_12']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_12' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : negation(d['c_1001_12']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], 'c_1100_12' : negation(d['c_0101_9']), 's_1_7' : negation(d['1']), 's_1_6' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_0'], '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_0101_9']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], '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_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_9']), 'c_0110_6' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0101_8, c_0101_9, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 24683257/4694144*c_1001_12^7 + 149998539/4694144*c_1001_12^6 + 505003901/4694144*c_1001_12^5 + 1074320787/4694144*c_1001_12^4 + 108564811/361088*c_1001_12^3 + 1136009605/4694144*c_1001_12^2 + 567970723/4694144*c_1001_12 - 30779261/670592, c_0011_0 - 1, c_0011_10 - 1/8*c_1001_12^7 - 3/4*c_1001_12^6 - 19/8*c_1001_12^5 - 19/4*c_1001_12^4 - 43/8*c_1001_12^3 - 13/4*c_1001_12^2 - 9/8*c_1001_12 + 7/4, c_0011_3 + 3/8*c_1001_12^7 + 19/8*c_1001_12^6 + 65/8*c_1001_12^5 + 141/8*c_1001_12^4 + 189/8*c_1001_12^3 + 157/8*c_1001_12^2 + 79/8*c_1001_12 - 21/8, c_0101_0 - 1, c_0101_1 + 3/8*c_1001_12^7 + 19/8*c_1001_12^6 + 65/8*c_1001_12^5 + 141/8*c_1001_12^4 + 189/8*c_1001_12^3 + 149/8*c_1001_12^2 + 71/8*c_1001_12 - 29/8, c_0101_10 + 1/4*c_1001_12^7 + 13/8*c_1001_12^6 + 23/4*c_1001_12^5 + 103/8*c_1001_12^4 + 73/4*c_1001_12^3 + 123/8*c_1001_12^2 + 31/4*c_1001_12 - 15/8, c_0101_11 - 1/4*c_1001_12^7 - 3/2*c_1001_12^6 - 5*c_1001_12^5 - 21/2*c_1001_12^4 - 55/4*c_1001_12^3 - 11*c_1001_12^2 - 6*c_1001_12 + 2, c_0101_12 - 1/8*c_1001_12^7 - 3/4*c_1001_12^6 - 19/8*c_1001_12^5 - 19/4*c_1001_12^4 - 43/8*c_1001_12^3 - 15/4*c_1001_12^2 - 17/8*c_1001_12 + 5/4, c_0101_2 + 1/8*c_1001_12^7 + 7/8*c_1001_12^6 + 25/8*c_1001_12^5 + 57/8*c_1001_12^4 + 79/8*c_1001_12^3 + 61/8*c_1001_12^2 + 23/8*c_1001_12 - 13/8, c_0101_6 + 1/4*c_1001_12^7 + 13/8*c_1001_12^6 + 23/4*c_1001_12^5 + 103/8*c_1001_12^4 + 73/4*c_1001_12^3 + 127/8*c_1001_12^2 + 35/4*c_1001_12 - 11/8, c_0101_8 - c_1001_12, c_0101_9 - 1/4*c_1001_12^7 - 3/2*c_1001_12^6 - 5*c_1001_12^5 - 21/2*c_1001_12^4 - 55/4*c_1001_12^3 - 11*c_1001_12^2 - 6*c_1001_12 + 2, c_1001_12^8 + 6*c_1001_12^7 + 20*c_1001_12^6 + 42*c_1001_12^5 + 54*c_1001_12^4 + 42*c_1001_12^3 + 20*c_1001_12^2 - 10*c_1001_12 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0101_8, c_0101_9, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 811/18*c_1001_12^11 - 15745/48*c_1001_12^10 - 28637/36*c_1001_12^9 + 625/36*c_1001_12^8 + 32443/9*c_1001_12^7 + 825823/144*c_1001_12^6 - 5427/8*c_1001_12^5 - 156573/16*c_1001_12^4 - 159929/18*c_1001_12^3 - 16445/6*c_1001_12^2 - 10351/12*c_1001_12 - 7619/18, c_0011_0 - 1, c_0011_10 + 13/24*c_1001_12^11 + 27/8*c_1001_12^10 + 77/12*c_1001_12^9 - 55/12*c_1001_12^8 - 833/24*c_1001_12^7 - 911/24*c_1001_12^6 + 185/8*c_1001_12^5 + 607/8*c_1001_12^4 + 685/12*c_1001_12^3 + 83/4*c_1001_12^2 + 5*c_1001_12 + 4/3, c_0011_3 + 1/12*c_1001_12^11 + 13/24*c_1001_12^10 + 5/4*c_1001_12^9 + 1/6*c_1001_12^8 - 59/12*c_1001_12^7 - 75/8*c_1001_12^6 - 41/12*c_1001_12^5 + 287/24*c_1001_12^4 + 81/4*c_1001_12^3 + 73/6*c_1001_12^2 + 13/6*c_1001_12 + 1/3, c_0101_0 + 1/24*c_1001_12^11 + 3/8*c_1001_12^10 + 25/24*c_1001_12^9 + 1/6*c_1001_12^8 - 113/24*c_1001_12^7 - 191/24*c_1001_12^6 + 3/2*c_1001_12^5 + 119/8*c_1001_12^4 + 275/24*c_1001_12^3 + 1/2*c_1001_12^2 - 3/2*c_1001_12 + 1/3, c_0101_1 + 1/8*c_1001_12^11 + 11/12*c_1001_12^10 + 55/24*c_1001_12^9 + 1/3*c_1001_12^8 - 77/8*c_1001_12^7 - 52/3*c_1001_12^6 - 23/12*c_1001_12^5 + 161/6*c_1001_12^4 + 761/24*c_1001_12^3 + 35/3*c_1001_12^2 - 1/3*c_1001_12 + 2/3, c_0101_10 - 3/8*c_1001_12^11 - 53/24*c_1001_12^10 - 89/24*c_1001_12^9 + 55/12*c_1001_12^8 + 187/8*c_1001_12^7 + 463/24*c_1001_12^6 - 77/3*c_1001_12^5 - 1231/24*c_1001_12^4 - 535/24*c_1001_12^3 + 47/12*c_1001_12^2 + 13/6*c_1001_12 - 1/3, c_0101_11 - 5/6*c_1001_12^11 - 67/12*c_1001_12^10 - 289/24*c_1001_12^9 + 4*c_1001_12^8 + 355/6*c_1001_12^7 + 955/12*c_1001_12^6 - 595/24*c_1001_12^5 - 865/6*c_1001_12^4 - 2927/24*c_1001_12^3 - 127/3*c_1001_12^2 - 77/6*c_1001_12 - 5, c_0101_12 + 1/12*c_1001_12^11 + 13/24*c_1001_12^10 + 5/4*c_1001_12^9 + 1/6*c_1001_12^8 - 59/12*c_1001_12^7 - 75/8*c_1001_12^6 - 41/12*c_1001_12^5 + 287/24*c_1001_12^4 + 81/4*c_1001_12^3 + 73/6*c_1001_12^2 + 13/6*c_1001_12 + 1/3, c_0101_2 + 23/24*c_1001_12^11 + 25/4*c_1001_12^10 + 311/24*c_1001_12^9 - 17/3*c_1001_12^8 - 1567/24*c_1001_12^7 - 499/6*c_1001_12^6 + 125/4*c_1001_12^5 + 154*c_1001_12^4 + 3073/24*c_1001_12^3 + 45*c_1001_12^2 + 25/2*c_1001_12 + 17/3, c_0101_6 + 1/12*c_1001_12^11 + 5/8*c_1001_12^10 + 35/24*c_1001_12^9 - 1/6*c_1001_12^8 - 77/12*c_1001_12^7 - 223/24*c_1001_12^6 + 7/8*c_1001_12^5 + 101/8*c_1001_12^4 + 349/24*c_1001_12^3 + 25/2*c_1001_12^2 + 5*c_1001_12 + 2/3, c_0101_8 + 1/24*c_1001_12^11 + 1/6*c_1001_12^10 + 5/24*c_1001_12^9 - 5/24*c_1001_12^7 - 17/12*c_1001_12^6 - 59/12*c_1001_12^5 - 35/12*c_1001_12^4 + 211/24*c_1001_12^3 + 35/3*c_1001_12^2 + 14/3*c_1001_12 + 1, c_0101_9 - 11/12*c_1001_12^11 - 35/6*c_1001_12^10 - 91/8*c_1001_12^9 + 23/3*c_1001_12^8 + 739/12*c_1001_12^7 + 68*c_1001_12^6 - 1069/24*c_1001_12^5 - 1679/12*c_1001_12^4 - 749/8*c_1001_12^3 - 73/3*c_1001_12^2 - 53/6*c_1001_12 - 14/3, c_1001_12^12 + 8*c_1001_12^11 + 23*c_1001_12^10 + 13*c_1001_12^9 - 79*c_1001_12^8 - 186*c_1001_12^7 - 84*c_1001_12^6 + 221*c_1001_12^5 + 361*c_1001_12^4 + 219*c_1001_12^3 + 70*c_1001_12^2 + 24*c_1001_12 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.710 Total time: 4.919 seconds, Total memory usage: 81.62MB