Magma V2.19-8 Tue Aug 20 2013 18:00:04 on localhost [Seed = 981176052] Type ? for help. Type -D to quit. Loading file "10^3_45__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_45 geometric_solution 13.77553048 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 2 3 0132 0132 1302 0132 1 2 2 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 1 0 -1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455417606469 1.049326508055 0 4 5 4 0132 0132 0132 1230 1 2 0 2 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 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389639763337 0.750775891983 0 0 5 4 2031 0132 0321 0132 1 1 0 2 0 0 -1 1 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 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 0.651952137072 0.801936164643 6 4 0 7 0132 1302 0132 0132 1 2 1 2 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 1 -1 1 0 -1 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 0.145404911981 0.850104669641 1 1 2 3 3012 0132 0132 2031 1 1 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651952137072 0.801936164643 7 6 2 1 3120 3120 0321 0132 1 2 2 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 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 0.804516137164 1.142889482705 3 5 8 9 0132 3120 0132 0132 1 2 2 1 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 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 0.412408557376 0.941049471858 9 8 3 5 0132 0132 0132 3120 1 2 2 1 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 -1 1 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 0.412408557376 0.941049471858 10 7 11 6 0132 0132 0132 0132 1 2 1 2 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 1 -1 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536078616258 0.720711100578 7 11 6 10 0132 0132 0132 0132 1 2 1 2 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 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 0.536078616258 0.720711100578 8 12 9 13 0132 0132 0132 0132 1 2 2 1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339257650709 0.795313765623 12 9 13 8 0132 0132 0132 0132 1 2 2 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 -1 1 1 0 0 -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 0.339257650709 0.795313765623 11 10 13 13 0132 0132 2103 0321 1 2 1 2 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 -1 1 -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 0.967616571012 1.291259103748 12 12 10 11 2103 0321 0132 0132 1 2 1 2 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 -1 0 1 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 0.967616571012 1.291259103748 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_0011_13'], 'c_1001_12' : d['c_0011_13'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_13' : d['c_1001_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_0011_13'], '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' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_13']), '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : negation(d['1']), 's_0_4' : negation(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' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 'c_1100_13' : d['c_1100_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_3'], 's_0_13' : d['1'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_1001_5']), 'c_1100_8' : d['c_1100_10'], 's_3_1' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_0011_13'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0110_13' : negation(d['c_0011_13']), 'c_0110_12' : negation(d['c_0011_13']), 'c_1010_4' : d['c_0011_3'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_10'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], '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_0011_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_12'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_13, c_0011_3, c_0011_5, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_4, c_0110_4, c_1001_10, c_1001_5, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 99149462430030015/334179730238848*c_1100_10^9 - 3327516887625269655/4344336493105024*c_1100_10^8 + 1756511118406811307/4344336493105024*c_1100_10^7 + 1724912840399509945/2172168246552512*c_1100_10^6 - 567309600501565695/2172168246552512*c_1100_10^5 - 2439780776732713197/4344336493105024*c_1100_10^4 - 470389627065279567/2172168246552512*c_1100_10^3 + 653029731666716255/2172168246552512*c_1100_10^2 + 226343640742429567/1086084123276256*c_1100_10 - 441509727840814675/4344336493105024, c_0011_0 - 1, c_0011_10 + c_1100_10, c_0011_13 + 271637704/44738063*c_1100_10^9 - 648848810/44738063*c_1100_10^8 + 292792666/44738063*c_1100_10^7 + 695639933/44738063*c_1100_10^6 - 81947607/44738063*c_1100_10^5 - 457394927/44738063*c_1100_10^4 - 217201458/44738063*c_1100_10^3 + 236962325/44738063*c_1100_10^2 + 153870882/44738063*c_1100_10 - 69964621/44738063, c_0011_3 + 272164022/44738063*c_1100_10^9 - 655778214/44738063*c_1100_10^8 + 351640900/44738063*c_1100_10^7 + 586823680/44738063*c_1100_10^6 - 51883382/44738063*c_1100_10^5 - 346752006/44738063*c_1100_10^4 - 177915312/44738063*c_1100_10^3 + 157798128/44738063*c_1100_10^2 + 146554378/44738063*c_1100_10 - 42900803/44738063, c_0011_5 + 454460721/44738063*c_1100_10^9 - 1500441682/44738063*c_1100_10^8 + 1335516142/44738063*c_1100_10^7 + 1027390455/44738063*c_1100_10^6 - 1279863571/44738063*c_1100_10^5 - 998511365/44738063*c_1100_10^4 + 254902142/44738063*c_1100_10^3 + 890939163/44738063*c_1100_10^2 + 150709959/44738063*c_1100_10 - 444294195/44738063, c_0101_1 - 1, c_0101_10 + 454460721/44738063*c_1100_10^9 - 1500441682/44738063*c_1100_10^8 + 1335516142/44738063*c_1100_10^7 + 1027390455/44738063*c_1100_10^6 - 1279863571/44738063*c_1100_10^5 - 998511365/44738063*c_1100_10^4 + 254902142/44738063*c_1100_10^3 + 890939163/44738063*c_1100_10^2 + 150709959/44738063*c_1100_10 - 444294195/44738063, c_0101_12 + 370070792/44738063*c_1100_10^9 - 925436434/44738063*c_1100_10^8 + 461209516/44738063*c_1100_10^7 + 994901318/44738063*c_1100_10^6 - 283944924/44738063*c_1100_10^5 - 638500580/44738063*c_1100_10^4 - 219044364/44738063*c_1100_10^3 + 353044643/44738063*c_1100_10^2 + 229263219/44738063*c_1100_10 - 122747489/44738063, c_0101_2 + 272164022/44738063*c_1100_10^9 - 655778214/44738063*c_1100_10^8 + 351640900/44738063*c_1100_10^7 + 586823680/44738063*c_1100_10^6 - 51883382/44738063*c_1100_10^5 - 346752006/44738063*c_1100_10^4 - 177915312/44738063*c_1100_10^3 + 157798128/44738063*c_1100_10^2 + 146554378/44738063*c_1100_10 - 42900803/44738063, c_0101_4 - 1, c_0110_4 + 272164022/44738063*c_1100_10^9 - 655778214/44738063*c_1100_10^8 + 351640900/44738063*c_1100_10^7 + 586823680/44738063*c_1100_10^6 - 51883382/44738063*c_1100_10^5 - 346752006/44738063*c_1100_10^4 - 177915312/44738063*c_1100_10^3 + 157798128/44738063*c_1100_10^2 + 146554378/44738063*c_1100_10 - 87638866/44738063, c_1001_10 - 370070792/44738063*c_1100_10^9 + 925436434/44738063*c_1100_10^8 - 461209516/44738063*c_1100_10^7 - 994901318/44738063*c_1100_10^6 + 283944924/44738063*c_1100_10^5 + 638500580/44738063*c_1100_10^4 + 219044364/44738063*c_1100_10^3 - 353044643/44738063*c_1100_10^2 - 229263219/44738063*c_1100_10 + 122747489/44738063, c_1001_5 - 1, c_1100_10^10 - 49/13*c_1100_10^9 + 61/13*c_1100_10^8 + 6/13*c_1100_10^7 - 50/13*c_1100_10^6 - 3/13*c_1100_10^5 + 22/13*c_1100_10^4 + 18/13*c_1100_10^3 - 12/13*c_1100_10^2 - c_1100_10 + 8/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB