Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 1646526291] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2808 geometric_solution 6.03622180 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435592596344 1.423642452896 0 2 5 2 0132 2031 0132 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036219272122 1.377081258112 1 0 1 4 1302 0132 1230 1230 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 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 0.036219272122 1.377081258112 4 6 5 0 3120 0132 3012 0132 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 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 1 0 -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 0.303808725213 0.342197235375 2 5 0 3 3012 1230 0132 3120 0 0 0 0 0 0 -1 1 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 -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 0.961024588404 0.610741682721 6 3 4 1 2031 1230 3012 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 1 -1 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 -0.450862591661 1.634189957601 6 3 5 6 3012 0132 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549137408339 1.634189957601 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 48825/32*c_1001_2^16 - 32009/4*c_1001_2^14 - 25787/64*c_1001_2^12 - 3083627/32*c_1001_2^10 - 4094231/16*c_1001_2^8 - 16050213/64*c_1001_2^6 - 471755/4*c_1001_2^4 - 1717305/64*c_1001_2^2 - 152691/64, c_0011_0 - 1, c_0011_3 + 43/2*c_1001_2^17 - 109*c_1001_2^15 - 101/4*c_1001_2^13 - 1360*c_1001_2^11 - 7683/2*c_1001_2^9 - 16697/4*c_1001_2^7 - 2285*c_1001_2^5 - 2555/4*c_1001_2^3 - 295/4*c_1001_2, c_0011_4 - 2*c_1001_2^16 + 10*c_1001_2^14 + 3*c_1001_2^12 + 127*c_1001_2^10 + 366*c_1001_2^8 + 417*c_1001_2^6 + 247*c_1001_2^4 + 81*c_1001_2^2 + 12, c_0011_5 + 165/2*c_1001_2^16 - 429*c_1001_2^14 - 155/4*c_1001_2^12 - 5227*c_1001_2^10 - 28101/2*c_1001_2^8 - 57371/4*c_1001_2^6 - 7172*c_1001_2^4 - 7069/4*c_1001_2^2 - 685/4, c_0101_0 - c_1001_2, c_0101_1 - 2*c_1001_2^17 + 10*c_1001_2^15 + 3*c_1001_2^13 + 127*c_1001_2^11 + 366*c_1001_2^9 + 417*c_1001_2^7 + 247*c_1001_2^5 + 81*c_1001_2^3 + 13*c_1001_2, c_1001_2^18 - 5*c_1001_2^16 - 3/2*c_1001_2^14 - 127/2*c_1001_2^12 - 183*c_1001_2^10 - 417/2*c_1001_2^8 - 247/2*c_1001_2^6 - 81/2*c_1001_2^4 - 7*c_1001_2^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB