Magma V2.19-8 Wed Aug 21 2013 01:03:14 on localhost [Seed = 71441408] Type ? for help. Type -D to quit. Loading file "L14n1836__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1836 geometric_solution 12.38798144 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 -1 1 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 0 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329517094744 0.867897798069 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 0 0 0 -1 0 1 0 0 -8 0 8 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460596420422 0.558779439129 8 0 9 5 0132 0132 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 -1 0 0 1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555936407717 1.001254195510 9 6 10 0 2031 0132 0132 0132 1 1 1 0 0 1 -1 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 -9 8 1 0 0 -1 1 -9 0 0 9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225891640016 1.078649895890 8 10 0 11 3012 1023 0132 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 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 0.407956313247 0.646575196214 12 1 2 11 0132 0132 0132 0321 1 0 1 1 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 0 8 0 -8 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842232452809 0.886394868192 11 3 1 8 0132 0132 0132 3012 1 1 0 1 0 -1 0 1 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 9 0 -9 0 0 0 0 0 -1 0 1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350945554020 0.558157592789 9 11 10 1 1230 0321 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 1 -1 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720040328857 0.924391503734 2 12 6 4 0132 0132 1230 1230 1 0 1 1 0 0 0 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 1 0 -1 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138846284778 0.816672301948 12 7 3 2 2103 3012 1302 0132 1 0 1 1 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 -1 0 1 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509890147769 0.885973084692 4 12 7 3 1023 2310 0321 0132 1 1 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 0 0 0 0 0 0 0 0 8 0 -8 -1 0 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 0.287103132544 0.733093687471 6 5 4 7 0132 0321 0132 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.679912943390 1.029029955740 5 8 9 10 0132 0132 2103 3201 1 0 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 -1 0 1 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780375677375 1.017557661071 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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_0101_3'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0011_9'], '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0101_11']})} 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_7, c_0011_9, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_1001_0, c_1001_1, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2147239/37840400*c_1001_7^7 - 50489069/227042400*c_1001_7^6 + 4391767/28380300*c_1001_7^5 + 356999377/227042400*c_1001_7^4 + 11450357/7568080*c_1001_7^3 - 7821547/37840400*c_1001_7^2 + 22545917/28380300*c_1001_7 + 828009563/227042400, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 375/29108*c_1001_7^7 - 6679/72770*c_1001_7^6 - 5823/29108*c_1001_7^5 - 328/7277*c_1001_7^4 + 10111/36385*c_1001_7^3 + 19223/72770*c_1001_7^2 - 16659/145540*c_1001_7 - 6931/7277, c_0011_7 - 129/72770*c_1001_7^7 - 2369/36385*c_1001_7^6 - 3521/14554*c_1001_7^5 - 4359/36385*c_1001_7^4 + 13931/36385*c_1001_7^3 - 2543/36385*c_1001_7^2 + 3581/72770*c_1001_7 - 6100/7277, c_0011_9 - 138/1915*c_1001_7^7 - 526/1915*c_1001_7^6 + 1/383*c_1001_7^5 + 1184/1915*c_1001_7^4 - 656/1915*c_1001_7^3 - 542/1915*c_1001_7^2 - 1068/1915*c_1001_7 - 332/383, c_0101_10 - 2347/36385*c_1001_7^7 - 12304/36385*c_1001_7^6 - 2911/7277*c_1001_7^5 + 15696/36385*c_1001_7^4 + 9936/36385*c_1001_7^3 - 42328/36385*c_1001_7^2 - 33567/36385*c_1001_7 - 10198/7277, c_0101_11 - 873/72770*c_1001_7^7 - 431/7277*c_1001_7^6 - 1151/14554*c_1001_7^5 + 1079/72770*c_1001_7^4 + 6291/72770*c_1001_7^3 - 14619/72770*c_1001_7^2 - 9301/14554*c_1001_7 + 3396/7277, c_0101_3 - 419/14554*c_1001_7^7 - 1151/7277*c_1001_7^6 - 3479/14554*c_1001_7^5 - 112/7277*c_1001_7^4 + 797/7277*c_1001_7^3 - 870/7277*c_1001_7^2 - 12851/14554*c_1001_7 - 5029/7277, c_0101_5 - 419/29108*c_1001_7^7 - 1151/14554*c_1001_7^6 - 3479/29108*c_1001_7^5 - 56/7277*c_1001_7^4 + 797/14554*c_1001_7^3 - 435/7277*c_1001_7^2 + 1703/29108*c_1001_7 + 1124/7277, c_1001_0 - 1746/36385*c_1001_7^7 - 1724/7277*c_1001_7^6 - 2302/7277*c_1001_7^5 + 2158/36385*c_1001_7^4 + 12582/36385*c_1001_7^3 + 7147/36385*c_1001_7^2 - 4048/7277*c_1001_7 - 8247/7277, c_1001_1 - 1348/36385*c_1001_7^7 - 7597/36385*c_1001_7^6 - 2044/7277*c_1001_7^5 + 6209/36385*c_1001_7^4 + 2662/36385*c_1001_7^3 - 2179/7277*c_1001_7^2 - 2406/36385*c_1001_7 - 9643/7277, c_1001_10 + 349/72770*c_1001_7^7 + 289/7277*c_1001_7^6 + 1177/14554*c_1001_7^5 + 1639/36385*c_1001_7^4 + 2306/36385*c_1001_7^3 - 10269/36385*c_1001_7^2 - 5751/14554*c_1001_7 + 4544/7277, c_1001_7^8 + 6*c_1001_7^7 + 11*c_1001_7^6 + 2*c_1001_7^5 - 10*c_1001_7^4 - 2*c_1001_7^3 + 21*c_1001_7^2 + 28*c_1001_7 + 40 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB