Magma V2.19-8 Tue Aug 20 2013 17:57:18 on localhost [Seed = 1073869890] Type ? for help. Type -D to quit. Loading file "9^2_28__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_28 geometric_solution 10.74025767 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 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 0.217576601372 0.514348983149 0 5 7 6 0132 0132 0132 0132 0 1 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 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217937903743 1.252518573644 7 0 4 8 0132 0132 2103 0132 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 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 1.183883771484 0.762950792513 9 5 6 0 0132 1230 1230 0132 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 0 0 0 0 0 0 0 0 -1 0 1 0 -4 4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296826250881 0.430321319608 2 8 0 10 2103 1302 0132 0132 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 -1 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 0.621124437420 1.637133447233 11 1 3 7 0132 0132 3012 0132 0 1 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 0 0 -1 0 1 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282827640458 0.565950411716 10 9 1 3 3012 2103 0132 3012 0 1 1 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452307573196 0.424190970218 2 11 5 1 0132 0132 0132 0132 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 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 0.217937903743 1.252518573644 11 11 2 4 2103 1302 0132 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000361302370 0.738169590495 3 6 10 10 0132 2103 3012 3120 1 1 0 0 0 0 -1 1 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 -1 1 0 1 0 -1 0 1 0 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621124437420 1.637133447233 9 9 4 6 3120 1230 0132 1230 1 1 0 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 1 -1 0 0 0 0 0 1 4 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621124437420 1.637133447233 5 7 8 8 0132 0132 2103 2031 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 -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 0 1.000361302370 0.738169590495 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_0'], 's_3_11' : d['1'], 's_0_11' : 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' : 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_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_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : d['c_0110_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_4'], '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'], '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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 8624898081/27905975*c_1001_3^9 + 873086439478/474401575*c_1001_3^8 - 517550235188/94880315*c_1001_3^7 + 4940760359307/474401575*c_1001_3^6 - 394801746846/27905975*c_1001_3^5 + 1350706742911/94880315*c_1001_3^4 - 5093027958443/474401575*c_1001_3^3 + 2805248618283/474401575*c_1001_3^2 - 60543216696/27905975*c_1001_3 + 36057335027/94880315, c_0011_0 - 1, c_0011_10 + 97036/91495*c_1001_3^9 - 297034/91495*c_1001_3^8 + 68704/18299*c_1001_3^7 + 75914/91495*c_1001_3^6 - 985679/91495*c_1001_3^5 + 360591/18299*c_1001_3^4 - 2011881/91495*c_1001_3^3 + 1580681/91495*c_1001_3^2 - 840999/91495*c_1001_3 + 2187/631, c_0011_3 - 558042/91495*c_1001_3^9 + 2845403/91495*c_1001_3^8 - 48582/631*c_1001_3^7 + 10739287/91495*c_1001_3^6 - 10882242/91495*c_1001_3^5 + 1434754/18299*c_1001_3^4 - 2446613/91495*c_1001_3^3 - 485752/91495*c_1001_3^2 + 1129713/91495*c_1001_3 - 106338/18299, c_0011_4 + 188292/91495*c_1001_3^9 - 856803/91495*c_1001_3^8 + 329328/18299*c_1001_3^7 - 1710047/91495*c_1001_3^6 + 582902/91495*c_1001_3^5 + 194683/18299*c_1001_3^4 - 1786947/91495*c_1001_3^3 + 1576812/91495*c_1001_3^2 - 831493/91495*c_1001_3 + 42661/18299, c_0011_8 + 211514/91495*c_1001_3^9 - 1084996/91495*c_1001_3^8 + 501866/18299*c_1001_3^7 - 3351779/91495*c_1001_3^6 + 2553724/91495*c_1001_3^5 - 71190/18299*c_1001_3^4 - 1599664/91495*c_1001_3^3 + 2155554/91495*c_1001_3^2 - 1471361/91495*c_1001_3 + 105418/18299, c_0101_0 - 1, c_0101_1 + 16609/91495*c_1001_3^9 + 202694/91495*c_1001_3^8 - 9859/631*c_1001_3^7 + 3779176/91495*c_1001_3^6 - 6042331/91495*c_1001_3^5 + 1317202/18299*c_1001_3^4 - 4985264/91495*c_1001_3^3 + 2625379/91495*c_1001_3^2 - 844561/91495*c_1001_3 + 10229/18299, c_0101_10 + 119918/91495*c_1001_3^9 - 31373/3155*c_1001_3^8 + 567586/18299*c_1001_3^7 - 5399168/91495*c_1001_3^6 + 7224358/91495*c_1001_3^5 - 1407262/18299*c_1001_3^4 + 5143122/91495*c_1001_3^3 - 2789702/91495*c_1001_3^2 + 1009648/91495*c_1001_3 - 47546/18299, c_0101_11 + 457674/91495*c_1001_3^9 - 2294726/91495*c_1001_3^8 + 1180037/18299*c_1001_3^7 - 10151634/91495*c_1001_3^6 + 12619849/91495*c_1001_3^5 - 2370253/18299*c_1001_3^4 + 8592166/91495*c_1001_3^3 - 4717741/91495*c_1001_3^2 + 1809959/91495*c_1001_3 - 91691/18299, c_0101_5 + 63886/18299*c_1001_3^9 - 11212/631*c_1001_3^8 + 839418/18299*c_1001_3^7 - 1443763/18299*c_1001_3^6 + 1787591/18299*c_1001_3^5 - 1661561/18299*c_1001_3^4 + 1170053/18299*c_1001_3^3 - 616882/18299*c_1001_3^2 + 211831/18299*c_1001_3 - 46839/18299, c_0110_6 - 458252/91495*c_1001_3^9 + 2499083/91495*c_1001_3^8 - 1398101/18299*c_1001_3^7 + 12852587/91495*c_1001_3^6 - 16910147/91495*c_1001_3^5 + 3318937/18299*c_1001_3^4 - 12169313/91495*c_1001_3^3 + 6456703/91495*c_1001_3^2 - 2285552/91495*c_1001_3 + 79802/18299, c_1001_3^10 - 108/17*c_1001_3^9 + 345/17*c_1001_3^8 - 722/17*c_1001_3^7 + 1092/17*c_1001_3^6 - 1250/17*c_1001_3^5 + 1103/17*c_1001_3^4 - 44*c_1001_3^3 + 377/17*c_1001_3^2 - 130/17*c_1001_3 + 25/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB