Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 2395935324] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1284 geometric_solution 5.17997762 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 0 0 0 0 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 0 1 -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 -0.683453272357 0.091898202874 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 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 -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 2.028125146628 0.555452330550 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.048026594349 0.703351647775 2 5 4 4 0132 0132 3201 2031 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 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 0.262027462337 0.691163572219 3 3 2 6 2310 1302 0132 0132 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 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 0.262027462337 0.691163572219 6 3 6 6 3201 0132 0213 1230 0 1 0 0 0 -1 1 0 -1 0 1 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 -1 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 0.262027462337 0.691163572219 5 5 4 5 3012 0213 0132 2310 0 0 1 0 0 -1 0 1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262027462337 0.691163572219 ==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_2_6' : 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_0_6' : 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_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), '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_3'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 11344/485*c_0101_3^6 + 17103/485*c_0101_3^5 + 76671/388*c_0101_3^4 + 81746/485*c_0101_3^3 - 13603/194*c_0101_3^2 - 26898/485*c_0101_3 + 16479/1940, c_0011_0 - 1, c_0011_2 + 127/97*c_0101_3^6 - 905/388*c_0101_3^5 - 1002/97*c_0101_3^4 - 635/97*c_0101_3^3 + 431/97*c_0101_3^2 - 211/388*c_0101_3 - 65/97, c_0011_4 + 127/97*c_0101_3^6 - 905/388*c_0101_3^5 - 1002/97*c_0101_3^4 - 635/97*c_0101_3^3 + 431/97*c_0101_3^2 + 177/388*c_0101_3 - 65/97, c_0011_6 - 1, c_0101_0 + 175/97*c_0101_3^6 - 1189/388*c_0101_3^5 - 5435/388*c_0101_3^4 - 2235/194*c_0101_3^3 + 267/97*c_0101_3^2 + 111/388*c_0101_3 + 3/388, c_0101_1 + 126/97*c_0101_3^6 - 203/194*c_0101_3^5 - 4825/388*c_0101_3^4 - 1600/97*c_0101_3^3 - 285/97*c_0101_3^2 + 653/194*c_0101_3 - 219/388, c_0101_3^7 - 7/4*c_0101_3^6 - 8*c_0101_3^5 - 21/4*c_0101_3^4 + 4*c_0101_3^3 + 3/4*c_0101_3^2 - c_0101_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB