Magma V2.19-8 Tue Aug 20 2013 17:56:21 on localhost [Seed = 3187411342] Type ? for help. Type -D to quit. Loading file "11_38__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_38 geometric_solution 10.65032239 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 -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 1.177845549357 1.449738528625 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 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 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 0.472535000884 0.778686991136 6 0 3 8 0321 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657744601179 0.842877073955 2 9 10 0 2310 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 0.493568420227 0.649826225839 9 10 0 8 3201 2031 0132 0213 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 -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 0.155284927419 0.729278214307 9 1 10 8 0213 0132 0213 1230 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429987712301 0.685140453377 2 7 1 9 0321 3120 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545438656505 0.639484866018 8 6 10 1 1230 3120 3120 0132 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 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 0.527070171555 0.758789805383 5 7 2 4 3012 3012 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.787201643977 0.901936952638 5 3 6 4 0213 0132 0132 2310 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409863834699 1.240248280439 4 5 7 3 1302 0213 3120 0132 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 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528477179031 0.502209413381 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0110_4']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : 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_10' : 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' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0011_10'], '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' : d['c_0011_10'], '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_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_3, c_0101_7, c_0110_4, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1624812997/594286*c_1001_10^5 + 2058334554/135065*c_1001_10^4 - 251201161/212245*c_1001_10^3 - 101915611117/1485715*c_1001_10^2 + 109674377683/2971430*c_1001_10 + 16302950923/424490, c_0011_0 - 1, c_0011_10 + 5805/297143*c_1001_10^5 + 2689/27013*c_1001_10^4 + 58031/297143*c_1001_10^3 + 3953/17479*c_1001_10^2 - 248712/297143*c_1001_10 - 1360/17479, c_0011_4 + 10110/297143*c_1001_10^5 + 2988/27013*c_1001_10^4 - 87705/297143*c_1001_10^3 - 14569/17479*c_1001_10^2 + 189428/297143*c_1001_10 - 962/17479, c_0011_6 - 35545/297143*c_1001_10^5 - 15601/27013*c_1001_10^4 + 3088/297143*c_1001_10^3 + 28202/17479*c_1001_10^2 - 198637/297143*c_1001_10 + 3155/17479, c_0011_7 - 5805/297143*c_1001_10^5 - 2689/27013*c_1001_10^4 - 58031/297143*c_1001_10^3 - 3953/17479*c_1001_10^2 + 248712/297143*c_1001_10 + 1360/17479, c_0011_8 - 4740/297143*c_1001_10^5 - 5237/27013*c_1001_10^4 - 80181/297143*c_1001_10^3 + 16374/17479*c_1001_10^2 + 8798/42449*c_1001_10 - 2535/17479, c_0101_0 - 24665/297143*c_1001_10^5 - 13187/27013*c_1001_10^4 - 5769/297143*c_1001_10^3 + 39736/17479*c_1001_10^2 - 405374/297143*c_1001_10 - 9896/17479, c_0101_3 + 13095/297143*c_1001_10^5 + 4271/27013*c_1001_10^4 - 156364/297143*c_1001_10^3 - 17911/17479*c_1001_10^2 + 797320/297143*c_1001_10 - 9804/17479, c_0101_7 + 8020/297143*c_1001_10^5 + 4546/27013*c_1001_10^4 - 89476/297143*c_1001_10^3 - 25492/17479*c_1001_10^2 + 755345/297143*c_1001_10 - 15592/17479, c_0110_4 - 35545/297143*c_1001_10^5 - 15601/27013*c_1001_10^4 + 3088/297143*c_1001_10^3 + 28202/17479*c_1001_10^2 - 198637/297143*c_1001_10 + 3155/17479, c_1001_10^6 + 24/5*c_1001_10^5 - 21/5*c_1001_10^4 - 22*c_1001_10^3 + 156/5*c_1001_10^2 - 46/5*c_1001_10 + 17/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB