Magma V2.19-8 Tue Aug 20 2013 16:14:58 on localhost [Seed = 37985817] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s946 geometric_solution 5.89285140 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807553856081 0.988895375034 0 3 5 4 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623683939501 0.791765318082 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 -1 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 1 -1 0 0 0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623683939501 0.791765318082 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209007727305 0.955280680218 2 4 1 4 2310 1302 0132 2031 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 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 0.803657417851 0.719029393383 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 -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 0.520643636194 0.599897283077 ==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' : 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' : 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' : negation(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' : negation(d['c_0101_5']), '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: 22 Groebner basis: [ t - 56887/1744*c_0101_2*c_0101_5^10 + 4146771/12208*c_0101_2*c_0101_5^9 - 15259869/12208*c_0101_2*c_0101_5^8 + 22303469/12208*c_0101_2*c_0101_5^7 - 6297261/12208*c_0101_2*c_0101_5^6 - 12871539/12208*c_0101_2*c_0101_5^5 + 441114/763*c_0101_2*c_0101_5^4 + 10819507/12208*c_0101_2*c_0101_5^3 - 1089747/6104*c_0101_2*c_0101_5^2 - 3464101/12208*c_0101_2*c_0101_5 - 1045241/12208*c_0101_2, c_0011_0 - 1, c_0011_4 - 99/218*c_0101_2*c_0101_5^10 + 1091/218*c_0101_2*c_0101_5^9 - 4435/218*c_0101_2*c_0101_5^8 + 8053/218*c_0101_2*c_0101_5^7 - 5803/218*c_0101_2*c_0101_5^6 - 909/218*c_0101_2*c_0101_5^5 + 1712/109*c_0101_2*c_0101_5^4 + 595/218*c_0101_2*c_0101_5^3 - 699/109*c_0101_2*c_0101_5^2 + 73/218*c_0101_2*c_0101_5 + 67/218*c_0101_2, c_0101_0 - 127/218*c_0101_2*c_0101_5^10 + 1219/218*c_0101_2*c_0101_5^9 - 3789/218*c_0101_2*c_0101_5^8 + 3119/218*c_0101_2*c_0101_5^7 + 3949/218*c_0101_2*c_0101_5^6 - 5863/218*c_0101_2*c_0101_5^5 - 858/109*c_0101_2*c_0101_5^4 + 6559/218*c_0101_2*c_0101_5^3 + 735/109*c_0101_2*c_0101_5^2 - 2355/218*c_0101_2*c_0101_5 - 949/218*c_0101_2, c_0101_1 + 75/109*c_0101_5^10 - 810/109*c_0101_5^9 + 3198/109*c_0101_5^8 - 5493/109*c_0101_5^7 + 3293/109*c_0101_5^6 + 1630/109*c_0101_5^5 - 2769/109*c_0101_5^4 - 715/109*c_0101_5^3 + 1178/109*c_0101_5^2 + 57/109*c_0101_5 - 97/109, c_0101_2^2 - c_0101_5 - 1, c_0101_5^11 - 10*c_0101_5^10 + 34*c_0101_5^9 - 40*c_0101_5^8 - 8*c_0101_5^7 + 40*c_0101_5^6 - 5*c_0101_5^5 - 35*c_0101_5^4 - 5*c_0101_5^3 + 11*c_0101_5^2 + 6*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB