Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 543276036] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s281 geometric_solution 4.45056571 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 -1 1 0 1 0 0 -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 1 0 -1 -1 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 0 0.326489408881 0.545190107841 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 -1 0 0 1 0 -1 0 1 -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 0 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.091355783209 0.618522685162 4 4 3 0 0132 3201 2031 0132 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 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 0.260803414061 1.000728566705 5 5 0 2 0132 3201 0132 1302 0 0 0 0 0 0 0 0 -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 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 0.260803414061 1.000728566705 2 5 2 5 0132 1302 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.860307826373 1.178749873986 3 4 3 4 0132 1302 2310 2031 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.860307826373 1.178749873986 ==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' : 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' : 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_3'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_2']), '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_3, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2648/123*c_0101_2^7 - 5400/41*c_0101_2^6 + 33626/123*c_0101_2^5 - 25522/123*c_0101_2^4 + 4505/123*c_0101_2^3 + 2308/123*c_0101_2^2 - 2325/41*c_0101_2 - 595/123, c_0011_0 - 1, c_0011_2 - 116/41*c_0101_2^7 + 728/41*c_0101_2^6 - 1669/41*c_0101_2^5 + 1682/41*c_0101_2^4 - 748/41*c_0101_2^3 + 65/41*c_0101_2^2 + 236/41*c_0101_2 - 83/41, c_0011_3 - 116/41*c_0101_2^7 + 728/41*c_0101_2^6 - 1669/41*c_0101_2^5 + 1682/41*c_0101_2^4 - 748/41*c_0101_2^3 + 65/41*c_0101_2^2 + 236/41*c_0101_2 - 83/41, c_0101_0 + 32/41*c_0101_2^7 - 116/41*c_0101_2^6 + 8/41*c_0101_2^5 + 315/41*c_0101_2^4 - 280/41*c_0101_2^3 + 98/41*c_0101_2^2 + 7/41*c_0101_2 - 28/41, c_0101_1 - 48/41*c_0101_2^7 + 256/41*c_0101_2^6 - 504/41*c_0101_2^5 + 532/41*c_0101_2^4 - 359/41*c_0101_2^3 + 17/41*c_0101_2^2 + 51/41*c_0101_2 - 40/41, c_0101_2^8 - 7*c_0101_2^7 + 73/4*c_0101_2^6 - 87/4*c_0101_2^5 + 12*c_0101_2^4 - 2*c_0101_2^3 - 11/4*c_0101_2^2 + 7/4*c_0101_2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB