Magma V2.19-8 Tue Aug 20 2013 16:14:56 on localhost [Seed = 3398129361] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s909 geometric_solution 5.68570646 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 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 -1 0 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 0.662096477577 0.928949766119 0 3 5 4 0132 0132 0132 0132 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 -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 0.692334193278 0.631745993025 3 0 4 5 3201 0132 3201 2310 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 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 0.692334193278 0.631745993025 3 1 3 2 2031 0132 1302 2310 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 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 0.147865370684 1.204321273628 2 4 1 4 2310 1302 0132 2031 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 0 -1 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 0.829937248270 0.549540917744 2 5 5 1 3201 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 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 0.882798604038 0.606025426187 ==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_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 13889/10493*c_0101_5^10 + 100249/10493*c_0101_5^9 + 49491/1499*c_0101_5^8 + 726099/10493*c_0101_5^7 + 789406/10493*c_0101_5^6 - 20746/10493*c_0101_5^5 - 1160108/10493*c_0101_5^4 - 153169/1499*c_0101_5^3 + 169984/10493*c_0101_5^2 + 499607/10493*c_0101_5 + 60037/10493, c_0011_0 - 1, c_0011_4 - 137/1499*c_0101_5^10 + 101/1499*c_0101_5^9 + 1863/1499*c_0101_5^8 + 7509/1499*c_0101_5^7 + 14511/1499*c_0101_5^6 + 9514/1499*c_0101_5^5 - 12236/1499*c_0101_5^4 - 25346/1499*c_0101_5^3 - 3953/1499*c_0101_5^2 + 10447/1499*c_0101_5 + 1416/1499, c_0101_0 - 104/1499*c_0101_5^10 - 2046/1499*c_0101_5^9 - 7908/1499*c_0101_5^8 - 18984/1499*c_0101_5^7 - 22028/1499*c_0101_5^6 + 2408/1499*c_0101_5^5 + 40058/1499*c_0101_5^4 + 34581/1499*c_0101_5^3 - 13647/1499*c_0101_5^2 - 17071/1499*c_0101_5 + 123/1499, c_0101_1 + 189/1499*c_0101_5^10 - 577/1499*c_0101_5^9 - 3905/1499*c_0101_5^8 - 13007/1499*c_0101_5^7 - 19986/1499*c_0101_5^6 - 4722/1499*c_0101_5^5 + 31181/1499*c_0101_5^4 + 37286/1499*c_0101_5^3 - 7961/1499*c_0101_5^2 - 19150/1499*c_0101_5 - 728/1499, c_0101_2 - 386/1499*c_0101_5^10 - 733/1499*c_0101_5^9 - 178/1499*c_0101_5^8 + 5182/1499*c_0101_5^7 + 13717/1499*c_0101_5^6 + 9168/1499*c_0101_5^5 - 15579/1499*c_0101_5^4 - 26596/1499*c_0101_5^3 + 5417/1499*c_0101_5^2 + 13810/1499*c_0101_5 - 2455/1499, c_0101_5^11 + 5*c_0101_5^10 + 13*c_0101_5^9 + 17*c_0101_5^8 - 3*c_0101_5^7 - 41*c_0101_5^6 - 41*c_0101_5^5 + 20*c_0101_5^4 + 45*c_0101_5^3 - 2*c_0101_5^2 - 14*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB