Magma V2.19-8 Wed Aug 21 2013 00:25:08 on localhost [Seed = 4138788324] Type ? for help. Type -D to quit. Loading file "K14n14035__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14035 geometric_solution 11.71370783 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062510074729 1.004687343465 0 4 5 0 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.061689349289 0.991496310415 6 7 8 0 0132 0132 0132 0132 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 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131074712544 0.514956872818 9 5 0 10 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.391282958747 0.467823015827 11 1 11 6 0132 0132 3012 2031 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 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 0.556106487897 0.751080776839 11 7 3 1 2031 2031 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132661071074 0.793973693642 2 4 7 9 0132 1302 1023 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058947277248 0.817752350369 5 2 6 12 1302 0132 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.141214014446 1.136115735160 11 12 9 2 3201 1023 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.370097757700 0.922943845286 3 8 10 6 0132 1230 1230 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.362682021693 0.884853630072 12 12 3 9 3012 2103 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.895019075716 0.871163427757 4 4 5 8 0132 1230 1302 2310 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583177394628 0.986753170862 8 10 7 10 1023 2103 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.629252297552 0.935452216564 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0011_3'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : negation(d['c_0101_10']), '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_5']), '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' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : negation(d['c_1001_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_10'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_1001_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1001_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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], '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' : 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' : d['c_0011_12'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : negation(d['c_0101_2']), '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_10'], 'c_0101_8' : d['c_0101_2'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_3'], '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_12, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_10, c_1001_3, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 17869217985/3995369894908*c_1001_3^3*c_1001_9^2 + 153930867738/4994212368635*c_1001_3^3*c_1001_9 - 40235415008/4994212368635*c_1001_3^3 - 221597819061/19976849474540*c_1001_3^2*c_1001_9^2 + 3739915717003/39953698949080*c_1001_3^2*c_1001_9 - 118604901859/1175108792620*c_1001_3^2 + 6556814213319/79907397898160*c_1001_3*c_1001_9^2 - 1820923308739/39953698949080*c_1001_3*c_1001_9 - 1110454141689/19976849474540*c_1001_3 + 1195686031153/7990739789816*c_1001_9^2 - 32497124698/142691781961*c_1001_9 + 33658778485/235021758524, c_0011_0 - 1, c_0011_10 + 1/3226*c_1001_3^3*c_1001_9^2 + 89/1613*c_1001_3^3*c_1001_9 - 290/1613*c_1001_3^3 - 108/1613*c_1001_3^2*c_1001_9^2 + 132/1613*c_1001_3^2*c_1001_9 - 267/1613*c_1001_3^2 + 587/3226*c_1001_3*c_1001_9^2 - 986/1613*c_1001_3*c_1001_9 - 865/1613*c_1001_3 + 315/6452*c_1001_9^2 - 999/3226*c_1001_9 + 1102/1613, c_0011_12 - 55/3226*c_1001_3^3*c_1001_9^2 - 56/1613*c_1001_3^3*c_1001_9 - 180/1613*c_1001_3^3 - 435/6452*c_1001_3^2*c_1001_9^2 - 3/3226*c_1001_3^2*c_1001_9 + 168/1613*c_1001_3^2 - 25/3226*c_1001_3*c_1001_9^2 - 612/1613*c_1001_3*c_1001_9 + 798/1613*c_1001_3 + 209/3226*c_1001_9^2 + 858/1613*c_1001_9 + 684/1613, c_0011_2 - 1/4*c_1001_9^2 + 1, c_0011_3 + 111/3226*c_1001_3^3*c_1001_9^2 + 201/1613*c_1001_3^3*c_1001_9 + 70/1613*c_1001_3^3 + 219/3226*c_1001_3^2*c_1001_9^2 + 135/1613*c_1001_3^2*c_1001_9 - 603/1613*c_1001_3^2 + 637/3226*c_1001_3*c_1001_9^2 + 238/1613*c_1001_3*c_1001_9 - 2461/1613*c_1001_3 - 521/6452*c_1001_9^2 - 1205/3226*c_1001_9 - 266/1613, c_0011_5 + 235/3226*c_1001_3^3*c_1001_9^2 - 54/1613*c_1001_3^3*c_1001_9 - 404/1613*c_1001_3^3 + 99/6452*c_1001_3^2*c_1001_9^2 - 867/3226*c_1001_3^2*c_1001_9 + 162/1613*c_1001_3^2 - 773/3226*c_1001_3*c_1001_9^2 - 489/3226*c_1001_3*c_1001_9 - 37/1613*c_1001_3 - 893/3226*c_1001_9^2 + 733/3226*c_1001_9 + 890/1613, c_0101_0 - 1/3226*c_1001_3^3*c_1001_9^2 - 89/1613*c_1001_3^3*c_1001_9 + 290/1613*c_1001_3^3 + 108/1613*c_1001_3^2*c_1001_9^2 - 132/1613*c_1001_3^2*c_1001_9 + 267/1613*c_1001_3^2 + 439/6452*c_1001_3*c_1001_9^2 + 986/1613*c_1001_3*c_1001_9 - 748/1613*c_1001_3 - 315/6452*c_1001_9^2 + 999/3226*c_1001_9 - 1102/1613, c_0101_1 - 145/3226*c_1001_3^3*c_1001_9^2 - 1/1613*c_1001_3^3*c_1001_9 + 112/1613*c_1001_3^3 - 267/6452*c_1001_3^2*c_1001_9^2 + 216/1613*c_1001_3^2*c_1001_9 + 3/1613*c_1001_3^2 + 187/1613*c_1001_3*c_1001_9^2 + 439/3226*c_1001_3*c_1001_9 - 389/1613*c_1001_3 + 551/3226*c_1001_9^2 - 315/3226*c_1001_9 - 103/1613, c_0101_10 - 83/3226*c_1001_3^3*c_1001_9^2 - 257/3226*c_1001_3^3*c_1001_9 - 125/1613*c_1001_3^3 + 185/3226*c_1001_3^2*c_1001_9^2 + 335/1613*c_1001_3^2*c_1001_9 - 421/1613*c_1001_3^2 - 331/3226*c_1001_3*c_1001_9^2 - 425/1613*c_1001_3*c_1001_9 + 823/1613*c_1001_3 + 319/1613*c_1001_9^2 - 1286/1613*c_1001_9 - 1138/1613, c_0101_2 - 55/3226*c_1001_3^3*c_1001_9^2 - 56/1613*c_1001_3^3*c_1001_9 - 180/1613*c_1001_3^3 - 435/6452*c_1001_3^2*c_1001_9^2 - 3/3226*c_1001_3^2*c_1001_9 + 168/1613*c_1001_3^2 - 25/3226*c_1001_3*c_1001_9^2 - 612/1613*c_1001_3*c_1001_9 + 798/1613*c_1001_3 + 209/3226*c_1001_9^2 + 103/3226*c_1001_9 + 684/1613, c_0110_10 - 55/3226*c_1001_3^3*c_1001_9^2 - 56/1613*c_1001_3^3*c_1001_9 - 180/1613*c_1001_3^3 - 435/6452*c_1001_3^2*c_1001_9^2 - 3/3226*c_1001_3^2*c_1001_9 + 168/1613*c_1001_3^2 - 25/3226*c_1001_3*c_1001_9^2 - 612/1613*c_1001_3*c_1001_9 + 798/1613*c_1001_3 + 911/1613*c_1001_9^2 - 755/1613*c_1001_9 + 684/1613, c_1001_3^4 + 1/2*c_1001_3^3*c_1001_9^2 + 3/4*c_1001_3^2*c_1001_9^2 + 5/2*c_1001_3^2*c_1001_9 - 4*c_1001_3^2 - 1/2*c_1001_3*c_1001_9^2 + 2*c_1001_3*c_1001_9 - 6*c_1001_3 - c_1001_9^2 - 7/2*c_1001_9 - 2, c_1001_9^3 - 4*c_1001_9 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.150 Total time: 9.359 seconds, Total memory usage: 64.12MB