Magma V2.19-8 Tue Aug 20 2013 23:39:18 on localhost [Seed = 189624154] Type ? for help. Type -D to quit. Loading file "L11n198__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n198 geometric_solution 9.34073158 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 1 2 2 0132 1230 0132 1230 0 0 1 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 -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 0.265822873604 0.722919383957 0 3 0 4 0132 0132 3012 0132 0 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 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 0.551939292913 1.218524824263 0 5 6 0 3012 0132 0132 0132 0 0 0 1 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 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 0.691557483868 0.680953263503 7 1 8 5 0132 0132 0132 0213 0 1 1 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 3 -1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549705966991 0.422143688120 6 9 1 7 2031 0132 0132 0213 0 0 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 1 -1 3 -3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392487667650 0.641643470078 6 2 7 3 0321 0132 2310 0213 0 1 1 0 0 0 0 0 -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 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974580275769 0.635454524813 5 8 4 2 0321 0213 1302 0132 0 0 1 1 0 0 0 0 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 0 0 0 0 0 1 -1 0 -1 0 1 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.245445175617 1.050270811136 3 5 9 4 0132 3201 2103 0213 0 1 0 1 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 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308637409128 0.700446897157 9 9 6 3 2103 0321 0213 0132 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 0 0 0 -1 0 1 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 0.607095374991 1.132396817736 7 4 8 8 2103 0132 2103 0321 0 1 0 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 1 -1 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525538521240 0.476278467387 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_0101_3']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_3']), 'c_1100_8' : d['c_1001_2'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : negation(d['c_1001_0']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_3, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 503/5044*c_1001_3^7 - 339/388*c_1001_3^6 - 12321/5044*c_1001_3^5 - 11785/5044*c_1001_3^4 - 1082/1261*c_1001_3^3 + 905/5044*c_1001_3^2 + 1231/1261*c_1001_3 + 495/5044, c_0011_0 - 1, c_0011_2 - 444/1261*c_1001_3^7 - 3170/1261*c_1001_3^6 - 10801/2522*c_1001_3^5 + 79/194*c_1001_3^4 - 2935/1261*c_1001_3^3 - 1668/1261*c_1001_3^2 + 5576/1261*c_1001_3 - 7105/2522, c_0011_4 - 603/1261*c_1001_3^7 - 4220/1261*c_1001_3^6 - 13229/2522*c_1001_3^5 + 357/194*c_1001_3^4 - 3756/1261*c_1001_3^3 - 2129/1261*c_1001_3^2 + 11015/1261*c_1001_3 - 12231/2522, c_0011_6 - 1364/1261*c_1001_3^7 - 18943/2522*c_1001_3^6 - 29069/2522*c_1001_3^5 + 439/97*c_1001_3^4 - 8653/1261*c_1001_3^3 - 4613/1261*c_1001_3^2 + 43473/2522*c_1001_3 - 14191/1261, c_0011_8 + 593/2522*c_1001_3^7 + 4035/2522*c_1001_3^6 + 2819/1261*c_1001_3^5 - 168/97*c_1001_3^4 + 956/1261*c_1001_3^3 + 1069/2522*c_1001_3^2 - 5848/1261*c_1001_3 + 4141/1261, c_0101_0 - 1, c_0101_3 - 153/2522*c_1001_3^7 - 939/2522*c_1001_3^6 - 251/1261*c_1001_3^5 + 141/97*c_1001_3^4 + 521/1261*c_1001_3^3 + 175/2522*c_1001_3^2 + 1915/1261*c_1001_3 - 2625/1261, c_1001_0 - 62/1261*c_1001_3^7 - 1033/2522*c_1001_3^6 - 2525/2522*c_1001_3^5 - 55/97*c_1001_3^4 - 336/1261*c_1001_3^3 - 1528/1261*c_1001_3^2 + 887/2522*c_1001_3 - 817/1261, c_1001_2 + 1, c_1001_3^8 + 7*c_1001_3^7 + 11*c_1001_3^6 - 4*c_1001_3^5 + 5*c_1001_3^4 + 3*c_1001_3^3 - 16*c_1001_3^2 + 9*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB