Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 1410713747] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0237 geometric_solution 4.22942742 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 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 2.212535273203 2.071051025602 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.534258497526 0.211033201579 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 0 -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 0.234508940418 0.306609478633 5 2 4 4 0132 0132 3201 2031 0 0 0 0 0 0 -1 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 -1 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 0.084867801825 0.850591408506 3 3 5 2 2310 1302 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 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 0.084867801825 0.850591408506 3 4 6 6 0132 3201 2310 0132 0 0 0 0 0 1 -1 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 -1 1 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 2.212535273203 2.071051025602 6 5 5 6 3201 3201 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.534258497526 0.211033201579 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 6*c_0101_5^2 - 3*c_0101_5 + 14, c_0011_0 - 1, c_0011_2 + c_0101_5, c_0011_4 - 1, c_0011_6 - 1, c_0101_0 + c_0101_5, c_0101_1 + c_0101_5^2 - 1, c_0101_5^3 + c_0101_5^2 - 2*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 36448230/217561*c_0101_5^7 - 76538174/217561*c_0101_5^6 + 83365763/217561*c_0101_5^5 + 463742032/217561*c_0101_5^4 - 172002525/217561*c_0101_5^3 - 270980556/217561*c_0101_5^2 + 99522394/217561*c_0101_5 + 173174042/217561, c_0011_0 - 1, c_0011_2 - 36598/217561*c_0101_5^7 - 119210/217561*c_0101_5^6 - 15299/217561*c_0101_5^5 + 552424/217561*c_0101_5^4 + 390028/217561*c_0101_5^3 - 403026/217561*c_0101_5^2 - 264559/217561*c_0101_5 + 173893/217561, c_0011_4 - 39048/217561*c_0101_5^7 - 60896/217561*c_0101_5^6 + 141114/217561*c_0101_5^5 + 500022/217561*c_0101_5^4 - 394767/217561*c_0101_5^3 - 251620/217561*c_0101_5^2 - 73780/217561*c_0101_5 + 21855/217561, c_0011_6 - 29150/217561*c_0101_5^7 - 87626/217561*c_0101_5^6 + 13947/217561*c_0101_5^5 + 433248/217561*c_0101_5^4 + 208585/217561*c_0101_5^3 - 245427/217561*c_0101_5^2 - 70010/217561*c_0101_5 + 131347/217561, c_0101_0 + 85092/217561*c_0101_5^7 + 177632/217561*c_0101_5^6 - 181146/217561*c_0101_5^5 - 1034404/217561*c_0101_5^4 + 391376/217561*c_0101_5^3 + 414201/217561*c_0101_5^2 - 357784/217561*c_0101_5 - 188365/217561, c_0101_1 + 16864/217561*c_0101_5^7 + 19168/217561*c_0101_5^6 - 81002/217561*c_0101_5^5 - 176368/217561*c_0101_5^4 + 355425/217561*c_0101_5^3 + 147225/217561*c_0101_5^2 - 296773/217561*c_0101_5 - 104513/217561, c_0101_5^8 + 2*c_0101_5^7 - 5/2*c_0101_5^6 - 25/2*c_0101_5^5 + 6*c_0101_5^4 + 7*c_0101_5^3 - 7/2*c_0101_5^2 - 9/2*c_0101_5 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB