Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 4172899353] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2067 geometric_solution 5.58636161 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 1 0 -1 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 -0.730755554760 0.517807366499 0 1 0 1 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.264244846927 1.241626132331 4 3 5 0 0132 2031 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 -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 0.299120595867 0.576155019435 2 4 0 5 1302 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 -1 1 0 -1 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 0.299120595867 0.576155019435 2 3 4 4 0132 0132 1230 3012 0 0 0 0 0 1 -1 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 1 0 -1 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 0.353223889599 0.596084186509 6 6 3 2 0132 3201 0132 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 -0.009005990339 2.649430281767 5 6 5 6 0132 1302 2310 2031 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 -0.412938342244 0.644727724074 ==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_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_5'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_2'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 29/20*c_1100_0 + 47/10, c_0011_0 - 1, c_0011_2 - 1/2*c_1100_0 - 1, c_0011_5 + 1/2*c_1100_0 + 1, c_0101_0 - 1/2*c_0101_5*c_1100_0 + c_0101_5, c_0101_2 - 1, c_0101_5^2 - 2*c_1100_0 - 3, c_1100_0^2 - 2*c_1100_0 - 4 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 24/55*c_1100_0^5 - 246/55*c_1100_0^4 - 177/11*c_1100_0^3 - 1414/55*c_1100_0^2 - 1182/55*c_1100_0 - 339/55, c_0011_0 - 1, c_0011_2 + 21/110*c_1100_0^5 + 13/11*c_1100_0^4 + 49/22*c_1100_0^3 + 261/110*c_1100_0^2 + 179/110*c_1100_0 + 21/11, c_0011_5 + 1/55*c_1100_0^5 + 3/22*c_1100_0^4 + 6/11*c_1100_0^3 + 127/110*c_1100_0^2 + 93/110*c_1100_0 + 15/22, c_0101_0 + 3/55*c_0101_5*c_1100_0^5 + 9/22*c_0101_5*c_1100_0^4 + 7/11*c_0101_5*c_1100_0^3 - 59/110*c_0101_5*c_1100_0^2 - 51/110*c_0101_5*c_1100_0 - 21/22*c_0101_5, c_0101_2 - 21/110*c_1100_0^5 - 13/11*c_1100_0^4 - 49/22*c_1100_0^3 - 261/110*c_1100_0^2 - 179/110*c_1100_0 - 10/11, c_0101_5^2 + 34/55*c_1100_0^5 + 40/11*c_1100_0^4 + 72/11*c_1100_0^3 + 399/55*c_1100_0^2 + 206/55*c_1100_0 + 46/11, c_1100_0^6 + 10*c_1100_0^5 + 35*c_1100_0^4 + 56*c_1100_0^3 + 54*c_1100_0^2 + 30*c_1100_0 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB