Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 3246415311] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s564 geometric_solution 5.00619366 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 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 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 0.553913404168 0.303476938599 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 1 -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 1.057548170567 0.457272642934 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711811721575 0.459938575608 5 4 2 1 0132 1023 0213 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 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 0.711811721575 0.459938575608 3 4 4 2 1023 1230 3012 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 1 0 -1 0 1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008921645040 0.640387272477 3 5 2 5 0132 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913513480312 0.885771603161 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], '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' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 6583504/807987*c_0101_4^8 + 35859718/807987*c_0101_4^7 - 30171058/807987*c_0101_4^6 + 90363922/807987*c_0101_4^5 - 13301160/269329*c_0101_4^4 + 43888653/269329*c_0101_4^3 - 7925821/807987*c_0101_4^2 + 16702300/269329*c_0101_4 - 3241939/807987, c_0011_0 - 1, c_0011_1 - 1606/6569*c_0101_4^8 + 7431/6569*c_0101_4^7 + 1028/6569*c_0101_4^6 + 10057/6569*c_0101_4^5 + 9277/6569*c_0101_4^4 + 17282/6569*c_0101_4^3 + 11446/6569*c_0101_4^2 + 3914/6569*c_0101_4 - 1638/6569, c_0011_3 + 1863/6569*c_0101_4^8 - 8976/6569*c_0101_4^7 + 1458/6569*c_0101_4^6 - 17086/6569*c_0101_4^5 - 3035/6569*c_0101_4^4 - 29038/6569*c_0101_4^3 - 16918/6569*c_0101_4^2 - 9146/6569*c_0101_4 - 2681/6569, c_0101_0 + 307/6569*c_0101_4^8 + 97/6569*c_0101_4^7 - 8328/6569*c_0101_4^6 + 3898/6569*c_0101_4^5 - 18564/6569*c_0101_4^4 - 4228/6569*c_0101_4^3 - 23662/6569*c_0101_4^2 - 7988/6569*c_0101_4 - 2501/6569, c_0101_1 + 149/6569*c_0101_4^8 + 689/6569*c_0101_4^7 - 6738/6569*c_0101_4^6 - 2516/6569*c_0101_4^5 + 1753/6569*c_0101_4^4 - 15404/6569*c_0101_4^3 - 9537/6569*c_0101_4^2 - 4797/6569*c_0101_4 - 4830/6569, c_0101_4^9 - 5*c_0101_4^8 + 2*c_0101_4^7 - 11*c_0101_4^6 - 16*c_0101_4^4 - 7*c_0101_4^3 - 5*c_0101_4^2 - c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB