Magma V2.19-8 Tue Aug 20 2013 16:14:04 on localhost [Seed = 2134827843] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s011 geometric_solution 3.50234968 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.425823389042 0.690913704779 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.532274027618 0.053139059177 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 1 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 0 -1 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 -0.476772462307 0.519783270730 2 2 4 5 2310 0132 0132 0132 0 0 0 0 0 -1 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 1 0 -1 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 0.064709249727 0.571518396650 5 5 5 3 1023 3012 1230 0132 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 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 0.953252913650 0.968945484375 4 4 3 4 1230 1023 0132 3012 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 -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 0 0 0 0 0.953252913650 0.968945484375 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_1_0' : 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_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 284335/25913*c_0101_3^9 + 1278155/25913*c_0101_3^8 + 5502359/25913*c_0101_3^7 + 8265540/25913*c_0101_3^6 + 1585441/25913*c_0101_3^5 - 6751447/25913*c_0101_3^4 - 2763818/25913*c_0101_3^3 + 2292776/25913*c_0101_3^2 - 94572/25913*c_0101_3 - 601392/25913, c_0011_0 - 1, c_0011_2 - 6229/25913*c_0101_3^9 - 23661/25913*c_0101_3^8 - 103027/25913*c_0101_3^7 - 109616/25913*c_0101_3^6 + 40309/25913*c_0101_3^5 + 55543/25913*c_0101_3^4 - 110390/25913*c_0101_3^3 - 48297/25913*c_0101_3^2 + 74030/25913*c_0101_3 - 3930/25913, c_0011_4 + 21265/25913*c_0101_3^9 + 89961/25913*c_0101_3^8 + 388658/25913*c_0101_3^7 + 518157/25913*c_0101_3^6 - 5869/25913*c_0101_3^5 - 499491/25913*c_0101_3^4 - 96495/25913*c_0101_3^3 + 194491/25913*c_0101_3^2 - 36722/25913*c_0101_3 - 23400/25913, c_0101_0 - 15779/25913*c_0101_3^9 - 76132/25913*c_0101_3^8 - 325181/25913*c_0101_3^7 - 545253/25913*c_0101_3^6 - 174248/25913*c_0101_3^5 + 429515/25913*c_0101_3^4 + 315054/25913*c_0101_3^3 - 104160/25913*c_0101_3^2 - 62769/25913*c_0101_3 + 22073/25913, c_0101_1 + 11551/25913*c_0101_3^9 + 48224/25913*c_0101_3^8 + 205729/25913*c_0101_3^7 + 259648/25913*c_0101_3^6 - 66337/25913*c_0101_3^5 - 328615/25913*c_0101_3^4 - 74234/25913*c_0101_3^3 + 98905/25913*c_0101_3^2 - 25895/25913*c_0101_3 + 4721/25913, c_0101_3^10 + 4*c_0101_3^9 + 17*c_0101_3^8 + 19*c_0101_3^7 - 11*c_0101_3^6 - 29*c_0101_3^5 + 2*c_0101_3^4 + 15*c_0101_3^3 - 4*c_0101_3^2 - 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB