Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 3616951284] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s327 geometric_solution 4.50666370 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 1 0132 0132 3201 3201 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 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 -0.424295551776 0.560447280411 0 0 3 3 0132 2310 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.858675614292 1.134215079019 0 0 4 3 2310 0132 0132 3120 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 1 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 0.250708731267 0.894985667857 2 1 1 4 3120 3201 0132 3012 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 0 -1 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 0.549964075870 0.656900709082 5 5 3 2 0132 2310 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 1 0 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 0.932257901622 1.444852283266 4 5 5 4 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 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 -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 0 0 0 0 0 0 -0.310105621231 0.301608875647 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1398/179*c_0101_4^11 + 13721/895*c_0101_4^10 + 89879/1790*c_0101_4^9 - 77741/1790*c_0101_4^8 - 265193/1790*c_0101_4^7 - 13497/358*c_0101_4^6 + 268227/895*c_0101_4^5 + 266107/1790*c_0101_4^4 - 393241/1790*c_0101_4^3 - 288583/1790*c_0101_4^2 + 80539/1790*c_0101_4 + 103201/1790, c_0011_0 - 1, c_0011_3 - 2129/1790*c_0101_4^11 + 387/179*c_0101_4^10 + 14089/1790*c_0101_4^9 - 9419/1790*c_0101_4^8 - 20426/895*c_0101_4^7 - 8581/895*c_0101_4^6 + 38087/895*c_0101_4^5 + 49951/1790*c_0101_4^4 - 9249/358*c_0101_4^3 - 45797/1790*c_0101_4^2 + 2298/895*c_0101_4 + 2579/358, c_0011_4 - 589/895*c_0101_4^11 + 1889/1790*c_0101_4^10 + 7699/1790*c_0101_4^9 - 2963/1790*c_0101_4^8 - 3979/358*c_0101_4^7 - 6768/895*c_0101_4^6 + 32347/1790*c_0101_4^5 + 26409/1790*c_0101_4^4 - 12383/1790*c_0101_4^3 - 18321/1790*c_0101_4^2 - 879/1790*c_0101_4 + 422/179, c_0101_0 + 2937/1790*c_0101_4^11 - 2533/895*c_0101_4^10 - 9813/895*c_0101_4^9 + 5576/895*c_0101_4^8 + 11039/358*c_0101_4^7 + 26699/1790*c_0101_4^6 - 49699/895*c_0101_4^5 - 35338/895*c_0101_4^4 + 29381/895*c_0101_4^3 + 31212/895*c_0101_4^2 - 4679/1790*c_0101_4 - 1890/179, c_0101_1 - 1, c_0101_4^12 - c_0101_4^11 - 8*c_0101_4^10 - c_0101_4^9 + 22*c_0101_4^8 + 23*c_0101_4^7 - 28*c_0101_4^6 - 50*c_0101_4^5 + 3*c_0101_4^4 + 37*c_0101_4^3 + 14*c_0101_4^2 - 8*c_0101_4 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB