Magma V2.19-8 Wed Aug 21 2013 00:58:13 on localhost [Seed = 2117625068] Type ? for help. Type -D to quit. Loading file "L13n4843__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4843 geometric_solution 11.64975378 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 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 0 0 0 0 1 -1 0 -1 0 0 1 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419986760213 0.738167529786 0 5 7 6 0132 0132 0132 0132 1 1 1 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 -1 1 0 1 0 0 -1 0 0 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191467171615 1.075311217063 7 0 8 4 0132 0132 0132 2103 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668215523150 0.396721051580 9 10 7 0 0132 0132 3120 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148882046515 1.989877927671 11 10 0 2 0132 3201 0132 2103 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 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 0.553932975612 0.945951564436 7 1 8 9 1023 0132 0321 3201 1 1 0 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 0 0 0 0 0 0 0 0 0 1 -1 0 -6 0 6 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 -0.530527533090 0.683498972566 11 12 1 9 1023 0132 0132 2103 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 -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 0.159532642149 0.870483483158 2 5 3 1 0132 1023 3120 0132 1 1 0 1 0 -1 1 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 6 -5 -1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771960513280 1.405244017914 11 10 5 2 3120 3012 0321 0132 1 1 0 1 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 1 -1 0 0 0 0 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221454802368 0.880497276116 3 5 12 6 0132 2310 3120 2103 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 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 0.106760180438 1.088179113521 8 3 4 12 1230 0132 2310 2310 1 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 0 0 0 1 0 -1 0 0 -1 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513568799683 0.564196402320 4 6 12 8 0132 1023 1230 3120 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 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 0.183943793022 1.095915931295 10 6 9 11 3201 0132 3120 3012 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.054652008434 1.214609980793 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0101_5']), 's_3_11' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_8'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : negation(d['c_0101_10']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_0']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_8']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], '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_11, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 260467656/55335775*c_1001_0^6 - 3938190822/55335775*c_1001_0^5 + 16075555351/55335775*c_1001_0^4 - 21849865881/55335775*c_1001_0^3 + 26211220083/55335775*c_1001_0^2 - 1465798801/5030525*c_1001_0 + 5282767717/55335775, c_0011_0 - 1, c_0011_10 + 129936/5030525*c_1001_0^6 - 1741607/5030525*c_1001_0^5 + 4750581/5030525*c_1001_0^4 + 1162239/5030525*c_1001_0^3 + 2724998/5030525*c_1001_0^2 + 2378659/5030525*c_1001_0 - 4661823/5030525, c_0011_11 + 17344/5030525*c_1001_0^6 - 482728/5030525*c_1001_0^5 + 4023724/5030525*c_1001_0^4 - 9183019/5030525*c_1001_0^3 - 4449983/5030525*c_1001_0^2 + 6013936/5030525*c_1001_0 + 1366158/5030525, c_0011_8 - 26951/5030525*c_1001_0^6 + 102737/5030525*c_1001_0^5 + 2101929/5030525*c_1001_0^4 - 4511649/5030525*c_1001_0^3 - 18120868/5030525*c_1001_0^2 - 6444669/5030525*c_1001_0 + 924318/5030525, c_0101_0 - 1, c_0101_1 - 548454/5030525*c_1001_0^6 + 7417448/5030525*c_1001_0^5 - 20954909/5030525*c_1001_0^4 - 2723371/5030525*c_1001_0^3 - 5567022/5030525*c_1001_0^2 - 14448426/5030525*c_1001_0 + 4311897/5030525, c_0101_10 - 109253/5030525*c_1001_0^6 + 1395661/5030525*c_1001_0^5 - 3160113/5030525*c_1001_0^4 - 2345322/5030525*c_1001_0^3 - 6186704/5030525*c_1001_0^2 - 130732/5030525*c_1001_0 + 2085929/5030525, c_0101_11 - 20683/5030525*c_1001_0^6 + 345946/5030525*c_1001_0^5 - 1590468/5030525*c_1001_0^4 + 1183083/5030525*c_1001_0^3 + 3461706/5030525*c_1001_0^2 - 2247927/5030525*c_1001_0 + 2575894/5030525, c_0101_3 - 150619/5030525*c_1001_0^6 + 2087553/5030525*c_1001_0^5 - 6341049/5030525*c_1001_0^4 + 20844/5030525*c_1001_0^3 + 736708/5030525*c_1001_0^2 + 403939/5030525*c_1001_0 + 2207192/5030525, c_0101_5 - 284207/5030525*c_1001_0^6 + 3828709/5030525*c_1001_0^5 - 10792622/5030525*c_1001_0^4 - 125493/5030525*c_1001_0^3 - 8229301/5030525*c_1001_0^2 - 10554783/5030525*c_1001_0 + 4397901/5030525, c_0101_7 - 370161/5030525*c_1001_0^6 + 5121182/5030525*c_1001_0^5 - 15755656/5030525*c_1001_0^4 + 3056736/5030525*c_1001_0^3 - 2536148/5030525*c_1001_0^2 - 12820909/5030525*c_1001_0 + 8118923/5030525, c_0110_5 - 109976/5030525*c_1001_0^6 + 1501637/5030525*c_1001_0^5 - 4120246/5030525*c_1001_0^4 - 3634624/5030525*c_1001_0^3 + 8166582/5030525*c_1001_0^2 + 4282481/5030525*c_1001_0 + 177918/5030525, c_1001_0^7 - 14*c_1001_0^6 + 45*c_1001_0^5 - 18*c_1001_0^4 + 20*c_1001_0^3 + 33*c_1001_0^2 - 31*c_1001_0 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB