Magma V2.19-8 Wed Aug 21 2013 01:06:28 on localhost [Seed = 3835886636] Type ? for help. Type -D to quit. Loading file "L14n32702__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32702 geometric_solution 11.86149353 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 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.232272709717 0.651726202479 0 2 6 5 0132 2310 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 0 0 0 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 0.986514502367 0.984142636342 7 0 7 1 0132 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363895177261 1.454383915781 8 4 9 0 0132 2103 0132 0132 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 0 0 0 0 0 0 0 0 1 0 -1 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610356929962 0.957860257622 7 3 0 6 3120 2103 0132 0321 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 1.049237281073 1.072156837982 10 11 1 10 0132 0132 0132 2031 1 1 0 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 0 0 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 0.838774593923 1.068869837991 7 4 9 1 2103 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426494715748 0.568818133483 2 2 6 4 0132 3201 2103 3120 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 0.274183775609 0.371184827956 3 9 10 12 0132 3120 0132 0132 1 1 1 1 0 0 1 -1 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 1 -4 3 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857144916029 0.368043316859 11 8 6 3 3012 3120 0321 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 0 0 0 0 0 0 -3 0 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313485357148 0.677619522199 5 5 12 8 0132 1302 3012 0132 1 1 1 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 -4 4 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 0.545632185896 0.579011399926 12 5 12 9 3012 0132 1302 1230 1 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 0 0 0 0 0 0 0 -3 0 0 3 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537774286376 1.265683635000 11 10 8 11 2031 1230 0132 1230 1 1 0 1 0 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 -3 3 0 0 0 0 0 -1 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715637305362 0.669264444444 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_1001_8']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : d['c_1001_8'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_12']), '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' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1001_8']), 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_10'], '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_6']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_9']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_9'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_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_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : negation(d['c_0011_6']), 'c_1100_8' : d['c_0011_9']})} 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_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_6, c_1001_0, c_1001_6, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 424201507187/1159872443938*c_1001_8^7 - 348110161478/579936221969*c_1001_8^6 - 3487601774154/579936221969*c_1001_8^5 - 6040113157911/579936221969*c_1001_8^4 - 777467513757/26973777766*c_1001_8^3 - 22818803146457/579936221969*c_1001_8^2 - 737748965801/30522959051*c_1001_8 + 570053519946/579936221969, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 155/21299*c_1001_8^7 + 449/21299*c_1001_8^6 + 2643/21299*c_1001_8^5 + 8225/21299*c_1001_8^4 + 13345/21299*c_1001_8^3 + 32578/21299*c_1001_8^2 + 831/1121*c_1001_8 + 6654/21299, c_0011_3 - 2726/276887*c_1001_8^7 + 3270/276887*c_1001_8^6 - 36372/276887*c_1001_8^5 + 45663/276887*c_1001_8^4 - 65248/276887*c_1001_8^3 + 241530/276887*c_1001_8^2 + 14152/14573*c_1001_8 + 98598/276887, c_0011_6 - 641/21299*c_1001_8^7 - 1177/21299*c_1001_8^6 - 10149/21299*c_1001_8^5 - 19586/21299*c_1001_8^4 - 48679/21299*c_1001_8^3 - 74821/21299*c_1001_8^2 - 2571/1121*c_1001_8 - 41483/21299, c_0011_9 - 4200/276887*c_1001_8^7 - 9599/276887*c_1001_8^6 - 76824/276887*c_1001_8^5 - 169967/276887*c_1001_8^4 - 426299/276887*c_1001_8^3 - 749649/276887*c_1001_8^2 - 19320/14573*c_1001_8 - 420883/276887, c_0101_0 - 8082/276887*c_1001_8^7 - 6792/276887*c_1001_8^6 - 145000/276887*c_1001_8^5 - 158164/276887*c_1001_8^4 - 762841/276887*c_1001_8^3 - 857308/276887*c_1001_8^2 - 61261/14573*c_1001_8 - 632171/276887, c_0101_1 + 155/21299*c_1001_8^7 + 449/21299*c_1001_8^6 + 2643/21299*c_1001_8^5 + 8225/21299*c_1001_8^4 + 13345/21299*c_1001_8^3 + 32578/21299*c_1001_8^2 + 831/1121*c_1001_8 + 6654/21299, c_0101_12 - 3882/276887*c_1001_8^7 + 2807/276887*c_1001_8^6 - 68176/276887*c_1001_8^5 + 11803/276887*c_1001_8^4 - 336542/276887*c_1001_8^3 - 107659/276887*c_1001_8^2 - 27368/14573*c_1001_8 - 211288/276887, c_0101_6 - 4423/276887*c_1001_8^7 + 9839/276887*c_1001_8^6 - 62083/276887*c_1001_8^5 + 120508/276887*c_1001_8^4 - 148976/276887*c_1001_8^3 + 460006/276887*c_1001_8^2 + 9874/14573*c_1001_8 + 498578/276887, c_1001_0 - 1, c_1001_6 - 6148/276887*c_1001_8^7 - 11539/276887*c_1001_8^6 - 89472/276887*c_1001_8^5 - 191576/276887*c_1001_8^4 - 380013/276887*c_1001_8^3 - 646538/276887*c_1001_8^2 - 10333/14573*c_1001_8 - 204898/276887, c_1001_8^8 + 2*c_1001_8^7 + 18*c_1001_8^6 + 36*c_1001_8^5 + 105*c_1001_8^4 + 164*c_1001_8^3 + 182*c_1001_8^2 + 128*c_1001_8 + 67 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.560 Total time: 0.770 seconds, Total memory usage: 32.09MB