Magma V2.19-8 Tue Aug 20 2013 16:09:01 on localhost [Seed = 1865347542] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m291 geometric_solution 4.40705572 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 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 1.277334398286 1.116767934332 0 1 1 2 0132 1230 3012 0213 0 0 0 0 0 0 -1 1 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 0.764273116303 0.637578005496 3 0 4 1 0213 0132 2031 0213 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 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 0.556289111873 0.387934508489 2 3 3 0 0213 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 0 1 -1 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 0.171256069077 0.457177341426 4 4 0 2 1302 2031 0132 1302 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408420362246 0.631150511665 ==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_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_1_4' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0110_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 239/122*c_0110_4^8 + 3065/488*c_0110_4^7 + 3803/488*c_0110_4^6 + 597/488*c_0110_4^5 - 4879/488*c_0110_4^4 - 999/61*c_0110_4^3 - 6021/488*c_0110_4^2 - 5955/488*c_0110_4 - 4057/488, c_0011_0 - 1, c_0011_3 + 10/61*c_0110_4^8 + 23/61*c_0110_4^7 + 20/61*c_0110_4^6 - 24/61*c_0110_4^5 - 31/61*c_0110_4^4 - 30/61*c_0110_4^3 - 9/61*c_0110_4^2 - 42/61*c_0110_4 - 15/61, c_0011_4 - 13/61*c_0110_4^8 - 36/61*c_0110_4^7 - 26/61*c_0110_4^6 + 19/61*c_0110_4^5 + 83/61*c_0110_4^4 + 100/61*c_0110_4^3 + 30/61*c_0110_4^2 + 18/61*c_0110_4 - 11/61, c_0101_0 - 13/61*c_0110_4^8 - 36/61*c_0110_4^7 - 26/61*c_0110_4^6 + 19/61*c_0110_4^5 + 83/61*c_0110_4^4 + 39/61*c_0110_4^3 - 31/61*c_0110_4^2 + 18/61*c_0110_4 + 50/61, c_0110_4^9 + 3*c_0110_4^8 + 3*c_0110_4^7 - c_0110_4^6 - 6*c_0110_4^5 - 7*c_0110_4^4 - 3*c_0110_4^3 - 3*c_0110_4^2 - 2*c_0110_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB