Magma V2.19-8 Thu Sep 12 2013 15:35:32 on localhost [Seed = 3568603408] Type ? for help. Type -D to quit. Loading file "10_118__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_118 geometric_solution 15.54521491 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 1 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 1 -1 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 0.078803650523 1.047429795022 0 0 5 4 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 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 0.928575836279 0.949344309174 6 0 8 7 0132 0132 0132 0132 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896406944907 0.690842063613 8 9 10 0 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655237065676 1.184653964946 7 10 1 11 3120 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 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 0.845976490427 0.664905316200 11 12 13 1 1023 0132 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 0 0 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 0.261134549951 1.317074056631 2 8 14 9 0132 3120 0132 3012 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 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 1.238362766973 0.637954218570 14 14 2 4 0132 1230 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.071424163721 0.949344309174 15 6 3 2 0132 3120 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430988608808 0.789425462925 16 3 6 12 0132 0132 1230 1230 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 -1 0 1 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 0.405945765852 1.245368333598 13 11 4 3 0132 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 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 0.484490163425 0.937714719173 10 5 4 12 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353293267924 0.246095974158 9 5 11 15 3012 0132 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 -1 0 0 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 0.577973619526 0.897743346824 10 16 15 5 0132 0213 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 0 0 0 0 -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 1.210404346674 1.104858716066 7 16 7 6 0132 3120 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 -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 0.477151138879 0.463274590653 8 16 12 13 0132 0321 0132 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 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 0.314743781733 0.616085550557 9 14 13 15 0132 3120 0213 0321 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 1 0 -1 1 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 0.144843376855 0.730540841745 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_0011_14'], 'c_1001_16' : negation(d['c_0011_14']), 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_13' : negation(d['c_0011_14']), 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : d['c_1001_15'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_16']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_16'], 'c_1010_13' : d['c_1001_15'], 'c_1010_12' : d['c_1001_15'], 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : d['c_0101_12'], 'c_1010_16' : negation(d['c_0011_14']), 'c_1010_15' : negation(d['c_0011_14']), 'c_1010_14' : negation(d['c_0011_16']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : negation(d['c_0011_10']), 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : negation(d['c_0011_4']), '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_0']), 'c_1100_15' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_16' : d['c_1001_15'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1001_4']), 'c_1100_13' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1100_9' : d['c_0101_15'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_15'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1100_14' : negation(d['c_1001_0']), 's_3_15' : d['1'], 'c_1010_9' : d['c_0101_12'], 's_0_15' : d['1'], 'c_1100_8' : negation(d['c_0101_0']), '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_1100_1'], '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_16']), 'c_0011_8' : negation(d['c_0011_15']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_14']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_16'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : d['c_0101_15'], 'c_0110_15' : d['c_0101_13'], 'c_0110_14' : d['c_0101_6'], 'c_0110_16' : negation(d['c_0011_15']), 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_1010_0' : negation(d['c_0011_0']), 's_2_14' : d['1'], 's_2_15' : d['1'], 'c_1010_8' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_13'], 'c_0101_2' : d['c_0101_15'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_15']), 'c_0101_8' : d['c_0101_13'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_15'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_15'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_14, c_0011_15, c_0011_16, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_13, c_0101_15, c_0101_6, c_1001_0, c_1001_15, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1080747105/1850702*c_1100_1^7 - 2127277559/1850702*c_1100_1^6 - 3750478680/925351*c_1100_1^5 - 7440259552/925351*c_1100_1^4 - 5979571669/1850702*c_1100_1^3 - 11729610267/925351*c_1100_1^2 + 5960043554/925351*c_1100_1 - 8683408763/925351, c_0011_0 - 1, c_0011_10 - 787/11354*c_1100_1^7 - 871/11354*c_1100_1^6 - 2214/5677*c_1100_1^5 - 8123/11354*c_1100_1^4 + 304/5677*c_1100_1^3 - 10025/5677*c_1100_1^2 + 6470/5677*c_1100_1 - 8375/11354, c_0011_14 + 629/5677*c_1100_1^7 + 1266/5677*c_1100_1^6 + 4383/5677*c_1100_1^5 + 8952/5677*c_1100_1^4 + 3229/5677*c_1100_1^3 + 13500/5677*c_1100_1^2 - 4593/5677*c_1100_1 + 5186/5677, c_0011_15 + 435/11354*c_1100_1^7 + 1751/11354*c_1100_1^6 + 3681/11354*c_1100_1^5 + 9395/11354*c_1100_1^4 + 8587/11354*c_1100_1^3 + 1076/5677*c_1100_1^2 + 14351/11354*c_1100_1 + 3833/5677, c_0011_16 - 564/5677*c_1100_1^7 - 2857/11354*c_1100_1^6 - 4616/5677*c_1100_1^5 - 9832/5677*c_1100_1^4 - 14789/11354*c_1100_1^3 - 23551/11354*c_1100_1^2 + 12235/11354*c_1100_1 - 13497/11354, c_0011_4 - 18/5677*c_1100_1^7 + 45/5677*c_1100_1^6 - 657/11354*c_1100_1^5 - 193/5677*c_1100_1^4 + 1521/11354*c_1100_1^3 - 2399/5677*c_1100_1^2 + 10597/11354*c_1100_1 - 5685/11354, c_0101_0 + 71/5677*c_1100_1^7 - 355/11354*c_1100_1^6 - 247/11354*c_1100_1^5 + 261/11354*c_1100_1^4 - 3161/11354*c_1100_1^3 + 8833/11354*c_1100_1^2 - 2134/5677*c_1100_1 + 4447/11354, c_0101_1 + 47/5677*c_1100_1^7 - 235/11354*c_1100_1^6 - 1123/11354*c_1100_1^5 - 1073/5677*c_1100_1^4 - 3405/5677*c_1100_1^3 - 1349/11354*c_1100_1^2 + 1146/5677*c_1100_1 + 1272/5677, c_0101_10 + 97/5677*c_1100_1^7 - 485/11354*c_1100_1^6 + 351/5677*c_1100_1^5 - 443/11354*c_1100_1^4 - 2679/5677*c_1100_1^3 + 17025/11354*c_1100_1^2 - 13267/11354*c_1100_1 + 4437/5677, c_0101_12 - 69/1622*c_1100_1^7 - 233/1622*c_1100_1^6 - 651/1622*c_1100_1^5 - 843/811*c_1100_1^4 - 874/811*c_1100_1^3 - 881/811*c_1100_1^2 - 1113/1622*c_1100_1 + 255/1622, c_0101_13 - 1803/11354*c_1100_1^7 - 2004/5677*c_1100_1^6 - 5808/5677*c_1100_1^5 - 24063/11354*c_1100_1^4 - 7559/11354*c_1100_1^3 - 19843/11354*c_1100_1^2 + 2299/11354*c_1100_1 - 3985/5677, c_0101_15 + 65/5677*c_1100_1^7 - 325/11354*c_1100_1^6 - 233/5677*c_1100_1^5 - 880/5677*c_1100_1^4 - 8331/11354*c_1100_1^3 + 3449/11354*c_1100_1^2 - 8305/11354*c_1100_1 + 8229/11354, c_0101_6 - 558/5677*c_1100_1^7 - 2887/11354*c_1100_1^6 - 9013/11354*c_1100_1^5 - 17643/11354*c_1100_1^4 - 9619/11354*c_1100_1^3 - 18167/11354*c_1100_1^2 + 8136/5677*c_1100_1 - 5925/11354, c_1001_0 - 1839/11354*c_1100_1^7 - 1959/5677*c_1100_1^6 - 12273/11354*c_1100_1^5 - 24449/11354*c_1100_1^4 - 3019/5677*c_1100_1^3 - 24641/11354*c_1100_1^2 + 12125/5677*c_1100_1 - 13655/11354, c_1001_15 + 32/5677*c_1100_1^7 - 80/5677*c_1100_1^6 + 584/5677*c_1100_1^5 + 1317/11354*c_1100_1^4 + 2973/11354*c_1100_1^3 + 6788/5677*c_1100_1^2 - 2481/5677*c_1100_1 + 11999/11354, c_1001_4 + 901/11354*c_1100_1^7 + 293/5677*c_1100_1^6 + 1835/5677*c_1100_1^5 + 7453/11354*c_1100_1^4 - 8263/11354*c_1100_1^3 + 20105/11354*c_1100_1^2 - 22843/11354*c_1100_1 + 3254/5677, c_1100_1^8 + 2*c_1100_1^7 + 7*c_1100_1^6 + 14*c_1100_1^5 + 6*c_1100_1^4 + 22*c_1100_1^3 - 10*c_1100_1^2 + 16*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2658.420 Total time: 2658.610 seconds, Total memory usage: 3943.72MB