Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 1595851672] 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' : negation(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' : negation(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: 6 Groebner basis: [ t + 1566091/199975*c_0101_5^5 - 1378228/39995*c_0101_5^4 - 29140151/199975*c_0101_5^3 - 39589524/199975*c_0101_5^2 - 13905558/199975*c_0101_5 - 11741486/199975, c_0011_0 - 1, c_0011_2 - 313/7999*c_0101_5^5 + 2038/7999*c_0101_5^4 + 2746/7999*c_0101_5^3 - 4930/7999*c_0101_5^2 - 3941/7999*c_0101_5 + 5323/7999, c_0011_4 - 80/7999*c_0101_5^5 + 112/7999*c_0101_5^4 + 3283/7999*c_0101_5^3 + 3340/7999*c_0101_5^2 - 4534/7999*c_0101_5 + 4555/7999, c_0011_6 + 443/7999*c_0101_5^5 - 2220/7999*c_0101_5^4 - 7081/7999*c_0101_5^3 - 4497/7999*c_0101_5^2 + 1310/7999*c_0101_5 + 4273/7999, c_0101_0 - 210/7999*c_0101_5^5 + 294/7999*c_0101_5^4 + 7618/7999*c_0101_5^3 + 12767/7999*c_0101_5^2 + 6096/7999*c_0101_5 - 5041/7999, c_0101_1 + 130/7999*c_0101_5^5 - 182/7999*c_0101_5^4 - 4335/7999*c_0101_5^3 - 9427/7999*c_0101_5^2 - 2631/7999*c_0101_5 + 1597/7999, c_0101_5^6 - 5*c_0101_5^5 - 16*c_0101_5^4 - 14*c_0101_5^3 + 7*c_0101_5^2 - c_0101_5 + 5 ], 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: 6 Groebner basis: [ t + 20/39*c_0101_5^5 - 22/39*c_0101_5^4 - 16/39*c_0101_5^3 + 14/13*c_0101_5^2 - 101/39*c_0101_5 + 14/39, c_0011_0 - 1, c_0011_2 - 8/13*c_0101_5^5 + 14/13*c_0101_5^4 - 4/13*c_0101_5^3 + 4/13*c_0101_5^2 + 17/13*c_0101_5 - 16/13, c_0011_4 + 4/13*c_0101_5^5 + 6/13*c_0101_5^4 + 2/13*c_0101_5^3 - 2/13*c_0101_5^2 - 2/13*c_0101_5 - 5/13, c_0011_6 - 1, c_0101_0 - c_0101_5, c_0101_1 + 2/13*c_0101_5^5 - 10/13*c_0101_5^4 + 14/13*c_0101_5^3 - 1/13*c_0101_5^2 - 14/13*c_0101_5 + 17/13, c_0101_5^6 - c_0101_5^5 + 3/2*c_0101_5^3 - 5/2*c_0101_5^2 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB