Magma V2.19-8 Wed Aug 21 2013 01:12:09 on localhost [Seed = 2446823303] Type ? for help. Type -D to quit. Loading file "L14n58718__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58718 geometric_solution 12.15159549 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 2 0 0 1 -1 -1 0 1 0 1 -1 0 0 0 1 -1 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 -2 1 0 1 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483524320408 1.603604373610 0 5 3 6 0132 0132 1023 0132 1 1 2 0 0 1 -1 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 0 0 0 0 0 0 1 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118169464575 1.420259287755 3 0 8 7 1023 0132 0132 0132 1 1 2 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 -1 0 1 0 0 0 0 4 -5 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527366619000 0.797476510511 5 2 1 0 0132 1023 1023 0132 1 1 2 0 0 0 1 -1 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 0 0 0 0 0 0 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023801052092 0.392270971774 8 9 0 6 0132 0132 0132 1023 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 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 0.683487787885 0.975016983671 3 1 10 9 0132 0132 0132 3120 1 1 0 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582835187585 0.950508476279 10 7 1 4 0132 2103 0132 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447111953577 0.775613074763 10 6 2 11 1302 2103 0132 0132 1 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 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 -0.037760080766 1.045180700186 4 9 11 2 0132 0321 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890064099973 0.635943716432 5 4 12 8 3120 0132 0132 0321 1 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 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 1.006900807098 0.767699727747 6 7 12 5 0132 2031 3012 0132 1 1 2 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 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 0.990377973146 0.619600064460 8 11 7 11 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0.477284935135 0.806966514359 12 10 12 9 2310 1230 3201 0132 1 1 1 1 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 1 0 -1 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 0.845825913916 1.003776240952 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], '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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(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_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_12']), '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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_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_11, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_8, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 429536326103/12337118552*c_1100_0^7 - 84385338005/169001624*c_1100_0^6 + 140260443636697/49348474208*c_1100_0^5 - 56666269270399/6168559276*c_1100_0^4 + 881269511514527/49348474208*c_1100_0^3 - 491458062162065/24674237104*c_1100_0^2 + 566519884885747/49348474208*c_1100_0 - 65168234636311/24674237104, c_0011_0 - 1, c_0011_10 - 218368/214693*c_1100_0^7 + 43330/2941*c_1100_0^6 - 18320406/214693*c_1100_0^5 + 121362583/429386*c_1100_0^4 - 122313700/214693*c_1100_0^3 + 290780285/429386*c_1100_0^2 - 93444589/214693*c_1100_0 + 50525131/429386, c_0011_11 + 126016/214693*c_1100_0^7 - 25148/2941*c_1100_0^6 + 10659064/214693*c_1100_0^5 - 35108025/214693*c_1100_0^4 + 69961207/214693*c_1100_0^3 - 80823904/214693*c_1100_0^2 + 49103618/214693*c_1100_0 - 12170641/214693, c_0011_12 - 1022568/214693*c_1100_0^7 + 205342/2941*c_1100_0^6 - 88054996/214693*c_1100_0^5 + 590035181/429386*c_1100_0^4 - 601991559/214693*c_1100_0^3 + 1447654327/429386*c_1100_0^2 - 467733651/214693*c_1100_0 + 251476753/429386, c_0011_4 + 554482/214693*c_1100_0^7 - 112054/2941*c_1100_0^6 + 96837031/429386*c_1100_0^5 - 163301900/214693*c_1100_0^4 + 671622069/429386*c_1100_0^3 - 407449411/214693*c_1100_0^2 + 531325659/429386*c_1100_0 - 72107385/214693, c_0011_7 - 554482/214693*c_1100_0^7 + 112054/2941*c_1100_0^6 - 96837031/429386*c_1100_0^5 + 163301900/214693*c_1100_0^4 - 671622069/429386*c_1100_0^3 + 407449411/214693*c_1100_0^2 - 531755045/429386*c_1100_0 + 72107385/214693, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 218368/214693*c_1100_0^7 - 43330/2941*c_1100_0^6 + 18320406/214693*c_1100_0^5 - 121362583/429386*c_1100_0^4 + 122313700/214693*c_1100_0^3 - 290780285/429386*c_1100_0^2 + 93444589/214693*c_1100_0 - 50095745/429386, c_0101_12 - 756866/214693*c_1100_0^7 + 152124/2941*c_1100_0^6 - 130611147/429386*c_1100_0^5 + 438061277/429386*c_1100_0^4 - 895196067/429386*c_1100_0^3 + 1078279841/429386*c_1100_0^2 - 697804239/429386*c_1100_0 + 187817557/429386, c_0101_8 + 554482/214693*c_1100_0^7 - 112054/2941*c_1100_0^6 + 96837031/429386*c_1100_0^5 - 163301900/214693*c_1100_0^4 + 671622069/429386*c_1100_0^3 - 407449411/214693*c_1100_0^2 + 531325659/429386*c_1100_0 - 71892692/214693, c_1001_2 + 218368/214693*c_1100_0^7 - 43330/2941*c_1100_0^6 + 18320406/214693*c_1100_0^5 - 121362583/429386*c_1100_0^4 + 122313700/214693*c_1100_0^3 - 290780285/429386*c_1100_0^2 + 93659282/214693*c_1100_0 - 50525131/429386, c_1100_0^8 - 16*c_1100_0^7 + 423/4*c_1100_0^6 - 1615/4*c_1100_0^5 + 1949/2*c_1100_0^4 - 5977/4*c_1100_0^3 + 2803/2*c_1100_0^2 - 2927/4*c_1100_0 + 653/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB