Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 2631729704] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m089 geometric_solution 3.48389858 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 1 0132 0132 0132 3201 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 0 -2 2 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.196603384540 0.437291165694 0 0 2 3 0132 2310 1302 2031 0 0 0 0 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 0 -1 1 -1 0 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262759070376 0.269420051521 1 0 4 4 2031 0132 3201 0132 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823858248622 0.838357752223 3 1 3 0 2031 1302 1302 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 -1 -1 2 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 0.960231534080 0.522656878053 2 4 2 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.186761813464 0.746644865035 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3751/5166*c_0101_4^8 - 196/369*c_0101_4^7 - 10229/1722*c_0101_4^6 - 524/123*c_0101_4^5 - 1351/82*c_0101_4^4 - 931/82*c_0101_4^3 - 48157/2583*c_0101_4^2 - 3194/287*c_0101_4 - 47105/5166, c_0011_0 - 1, c_0011_4 - 1/41*c_0101_4^8 - 6/41*c_0101_4^7 - 3/41*c_0101_4^6 - 18/41*c_0101_4^5 - 6/41*c_0101_4^4 + 5/41*c_0101_4^3 - 31/41*c_0101_4^2 + 20/41*c_0101_4 - 8/41, c_0101_0 - 34/123*c_0101_4^8 + 1/123*c_0101_4^7 - 75/41*c_0101_4^6 + 1/41*c_0101_4^5 - 150/41*c_0101_4^4 + 2/41*c_0101_4^3 - 275/123*c_0101_4^2 + 8/41*c_0101_4 - 26/123, c_0101_2 - 1/123*c_0101_4^8 - 47/123*c_0101_4^7 - 1/41*c_0101_4^6 - 88/41*c_0101_4^5 - 2/41*c_0101_4^4 - 135/41*c_0101_4^3 + 10/123*c_0101_4^2 - 48/41*c_0101_4 + 115/123, c_0101_4^9 + 8*c_0101_4^7 + 21*c_0101_4^5 + 20*c_0101_4^3 - c_0101_4^2 + 5*c_0101_4 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB