Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 1174919771] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s689 geometric_solution 5.18817180 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.156240538308 0.843446535688 3 2 4 0 0132 3012 0132 0132 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 0 0 0 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 0.881956742344 1.282714477148 1 3 0 4 1230 2310 0132 2310 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 -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 0.881956742344 1.282714477148 1 3 3 2 0132 3201 2310 3201 0 0 0 0 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 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 0.590992348555 0.480977875346 2 5 5 1 3201 0132 3201 0132 0 0 0 0 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 0 0 0 0 0 0 0 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 0.233894782696 0.349423354203 4 4 5 5 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.477534646499 2.284944033468 ==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' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], '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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 421653/149479*c_0101_5^11 - 8117683/747395*c_0101_5^10 + 16723264/747395*c_0101_5^9 - 13987476/747395*c_0101_5^8 - 28030231/747395*c_0101_5^7 + 19137725/149479*c_0101_5^6 - 32950811/149479*c_0101_5^5 + 153921601/747395*c_0101_5^4 - 89683784/747395*c_0101_5^3 + 30673087/747395*c_0101_5^2 - 16777314/747395*c_0101_5 - 1321648/149479, c_0011_0 - 1, c_0011_1 + 7854/13589*c_0101_5^11 - 17926/13589*c_0101_5^10 + 36205/13589*c_0101_5^9 + 6276/13589*c_0101_5^8 - 98543/13589*c_0101_5^7 + 229929/13589*c_0101_5^6 - 262088/13589*c_0101_5^5 + 145567/13589*c_0101_5^4 - 6388/13589*c_0101_5^3 - 796/13589*c_0101_5^2 + 4292/13589*c_0101_5 - 12470/13589, c_0011_4 + 847/13589*c_0101_5^11 - 2999/13589*c_0101_5^10 + 7768/13589*c_0101_5^9 - 5718/13589*c_0101_5^8 - 7563/13589*c_0101_5^7 + 41183/13589*c_0101_5^6 - 71163/13589*c_0101_5^5 + 76316/13589*c_0101_5^4 - 54512/13589*c_0101_5^3 + 11638/13589*c_0101_5^2 + 10588/13589*c_0101_5 - 13868/13589, c_0101_0 + 2026/13589*c_0101_5^11 - 3676/13589*c_0101_5^10 + 7623/13589*c_0101_5^9 + 5896/13589*c_0101_5^8 - 21219/13589*c_0101_5^7 + 47249/13589*c_0101_5^6 - 36945/13589*c_0101_5^5 + 21788/13589*c_0101_5^4 - 5828/13589*c_0101_5^3 + 25720/13589*c_0101_5^2 - 10371/13589*c_0101_5 - 3106/13589, c_0101_1 - 6398/13589*c_0101_5^11 + 12883/13589*c_0101_5^10 - 25884/13589*c_0101_5^9 - 10490/13589*c_0101_5^8 + 71167/13589*c_0101_5^7 - 159472/13589*c_0101_5^6 + 170530/13589*c_0101_5^5 - 110176/13589*c_0101_5^4 + 32624/13589*c_0101_5^3 - 39731/13589*c_0101_5^2 + 1106/13589*c_0101_5 + 21761/13589, c_0101_5^12 - 2*c_0101_5^11 + 4*c_0101_5^10 + 2*c_0101_5^9 - 12*c_0101_5^8 + 26*c_0101_5^7 - 26*c_0101_5^6 + 11*c_0101_5^5 + 4*c_0101_5^4 - 2*c_0101_5^3 + 2*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB