Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 1680210251] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2541 geometric_solution 5.85214877 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -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 0.176476043504 0.951477754992 0 1 5 1 0132 1302 0132 2031 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 1 0 -1 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875032645149 0.701788621617 5 0 2 2 2310 0132 2031 1302 0 0 0 0 0 0 1 -1 -1 0 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 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 0.437744184288 0.417612608096 3 3 5 0 1302 2031 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086815246316 0.524758351089 6 6 0 5 0132 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.016217070700 1.731477770251 4 3 2 1 3201 3201 3201 0132 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 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 0.176476043504 0.951477754992 4 6 4 6 0132 2310 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 -0.350694298270 0.612458135230 ==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_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_5']})} 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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 565774/12673141*c_0101_5^10 + 149662/408811*c_0101_5^9 + 5371518/12673141*c_0101_5^8 + 84040/974857*c_0101_5^7 - 11993832/12673141*c_0101_5^6 + 139198/12673141*c_0101_5^5 + 1773271/974857*c_0101_5^4 + 3213653/12673141*c_0101_5^3 + 4193040/12673141*c_0101_5^2 + 15267041/12673141*c_0101_5 + 21626/12673141, c_0011_0 - 1, c_0011_3 + 425/1829*c_0101_5^10 + 7/59*c_0101_5^9 - 505/1829*c_0101_5^8 - 2169/1829*c_0101_5^7 + 517/1829*c_0101_5^6 + 4616/1829*c_0101_5^5 + 84/1829*c_0101_5^4 - 3711/1829*c_0101_5^3 - 2271/1829*c_0101_5^2 + 641/1829*c_0101_5 + 1012/1829, c_0011_4 + 656/1829*c_0101_5^10 + 9/59*c_0101_5^9 - 801/1829*c_0101_5^8 - 3817/1829*c_0101_5^7 + 1280/1829*c_0101_5^6 + 7452/1829*c_0101_5^5 + 1524/1829*c_0101_5^4 - 7755/1829*c_0101_5^3 - 5145/1829*c_0101_5^2 + 3791/1829*c_0101_5 + 1377/1829, c_0011_5 - 752/1829*c_0101_5^10 - 6/59*c_0101_5^9 + 829/1829*c_0101_5^8 + 3528/1829*c_0101_5^7 - 2761/1829*c_0101_5^6 - 7918/1829*c_0101_5^5 + 1108/1829*c_0101_5^4 + 8533/1829*c_0101_5^3 + 1660/1829*c_0101_5^2 - 4435/1829*c_0101_5 - 1980/1829, c_0101_0 - 588/1829*c_0101_5^10 - 48/59*c_0101_5^9 - 743/1829*c_0101_5^8 + 3031/1829*c_0101_5^7 + 4875/1829*c_0101_5^6 - 4226/1829*c_0101_5^5 - 9485/1829*c_0101_5^4 - 1179/1829*c_0101_5^3 + 6318/1829*c_0101_5^2 + 2457/1829*c_0101_5 - 264/1829, c_0101_1 + 704/1829*c_0101_5^10 + 37/59*c_0101_5^9 + 1014/1829*c_0101_5^8 - 2758/1829*c_0101_5^7 - 2552/1829*c_0101_5^6 + 2198/1829*c_0101_5^5 + 5695/1829*c_0101_5^4 + 2830/1829*c_0101_5^3 - 2488/1829*c_0101_5^2 - 3203/1829*c_0101_5 - 2894/1829, c_0101_5^11 + 2*c_0101_5^10 + c_0101_5^9 - 5*c_0101_5^8 - 6*c_0101_5^7 + 6*c_0101_5^6 + 12*c_0101_5^5 + c_0101_5^4 - 8*c_0101_5^3 - 4*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB