Magma V2.19-8 Tue Aug 20 2013 16:14:56 on localhost [Seed = 3482211284] 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' : 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' : 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: 14 Groebner basis: [ t + 298072257/1324640*c_0101_5^13 - 4337108483/1324640*c_0101_5^12 + 5738647877/331160*c_0101_5^11 - 2420236563/66232*c_0101_5^10 + 1891959083/331160*c_0101_5^9 + 46502644661/662320*c_0101_5^8 - 9497498627/662320*c_0101_5^7 - 139461987961/1324640*c_0101_5^6 - 4744849853/331160*c_0101_5^5 + 3418326957/41395*c_0101_5^4 + 61223547079/1324640*c_0101_5^3 - 10967228663/1324640*c_0101_5^2 - 3800557793/331160*c_0101_5 - 2764580449/1324640, c_0011_0 - 1, c_0011_4 + 237997/132464*c_0101_5^13 - 3455787/132464*c_0101_5^12 + 4553141/33116*c_0101_5^11 - 9486183/33116*c_0101_5^10 + 1032295/33116*c_0101_5^9 + 37970521/66232*c_0101_5^8 - 6721395/66232*c_0101_5^7 - 113399509/132464*c_0101_5^6 - 1142324/8279*c_0101_5^5 + 22169643/33116*c_0101_5^4 + 51653679/132464*c_0101_5^3 - 8055147/132464*c_0101_5^2 - 1558491/16558*c_0101_5 - 2354953/132464, c_0101_0 - 835433/132464*c_0101_5^13 + 12204639/132464*c_0101_5^12 - 16264021/33116*c_0101_5^11 + 34904091/33116*c_0101_5^10 - 7619675/33116*c_0101_5^9 - 127604997/66232*c_0101_5^8 + 31831767/66232*c_0101_5^7 + 384785425/132464*c_0101_5^6 + 2295062/8279*c_0101_5^5 - 75701939/33116*c_0101_5^4 - 159598355/132464*c_0101_5^3 + 33333615/132464*c_0101_5^2 + 5001021/16558*c_0101_5 + 6820421/132464, c_0101_1 - 875853/132464*c_0101_5^13 + 12789663/132464*c_0101_5^12 - 17031701/33116*c_0101_5^11 + 36496507/33116*c_0101_5^10 - 7807159/33116*c_0101_5^9 - 133733329/66232*c_0101_5^8 + 32701391/66232*c_0101_5^7 + 402476181/132464*c_0101_5^6 + 10418991/33116*c_0101_5^5 - 39546263/16558*c_0101_5^4 - 169478371/132464*c_0101_5^3 + 33284219/132464*c_0101_5^2 + 10551019/33116*c_0101_5 + 7467973/132464, c_0101_2 + 326853/66232*c_0101_5^13 - 4758779/66232*c_0101_5^12 + 6303135/16558*c_0101_5^11 - 13325561/16558*c_0101_5^10 + 2212303/16558*c_0101_5^9 + 50705885/33116*c_0101_5^8 - 10352479/33116*c_0101_5^7 - 152841997/66232*c_0101_5^6 - 2608584/8279*c_0101_5^5 + 29928335/16558*c_0101_5^4 + 67637703/66232*c_0101_5^3 - 11747227/66232*c_0101_5^2 - 2098002/8279*c_0101_5 - 3093257/66232, c_0101_5^14 - 14*c_0101_5^13 + 69*c_0101_5^12 - 120*c_0101_5^11 - 64*c_0101_5^10 + 326*c_0101_5^9 + 108*c_0101_5^8 - 503*c_0101_5^7 - 321*c_0101_5^6 + 332*c_0101_5^5 + 407*c_0101_5^4 + 76*c_0101_5^3 - 71*c_0101_5^2 - 37*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB