Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 1781266105] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1369 geometric_solution 5.22882748 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 0 1 -1 1 0 0 -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 0.508281444743 0.795747397466 0 3 2 4 0132 0132 1230 0132 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 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949662129272 0.961327996238 3 0 4 1 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949662129272 0.961327996238 3 1 2 3 3201 0132 3201 2310 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209078846693 0.732308858067 5 5 1 2 0132 2310 0132 0132 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 -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 0.421282640313 1.082614607094 4 6 6 4 0132 0132 3201 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 -0.452770540951 0.355444549425 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.575553830168 0.340433383029 ==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' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 176928/2213*c_0101_3*c_0101_6^9 + 559801/2213*c_0101_3*c_0101_6^8 + 909366/2213*c_0101_3*c_0101_6^7 + 877670/2213*c_0101_3*c_0101_6^6 + 626894/2213*c_0101_3*c_0101_6^5 - 184487/2213*c_0101_3*c_0101_6^4 - 261074/2213*c_0101_3*c_0101_6^3 - 101400/2213*c_0101_3*c_0101_6^2 + 95345/2213*c_0101_3*c_0101_6 + 109686/2213*c_0101_3, c_0011_0 - 1, c_0011_4 - 4902/2213*c_0101_3*c_0101_6^9 - 15865/2213*c_0101_3*c_0101_6^8 - 24542/2213*c_0101_3*c_0101_6^7 - 22044/2213*c_0101_3*c_0101_6^6 - 14537/2213*c_0101_3*c_0101_6^5 + 5418/2213*c_0101_3*c_0101_6^4 + 6894/2213*c_0101_3*c_0101_6^3 - 1628/2213*c_0101_3*c_0101_6^2 - 2529/2213*c_0101_3*c_0101_6 - 1884/2213*c_0101_3, c_0101_0 + 7104/2213*c_0101_6^9 + 23918/2213*c_0101_6^8 + 40312/2213*c_0101_6^7 + 39127/2213*c_0101_6^6 + 26433/2213*c_0101_6^5 - 6920/2213*c_0101_6^4 - 13290/2213*c_0101_6^3 - 4063/2213*c_0101_6^2 + 7487/2213*c_0101_6 + 5504/2213, c_0101_1 + 6486/2213*c_0101_6^9 + 18058/2213*c_0101_6^8 + 26413/2213*c_0101_6^7 + 22948/2213*c_0101_6^6 + 16588/2213*c_0101_6^5 - 10430/2213*c_0101_6^4 - 4265/2213*c_0101_6^3 + 109/2213*c_0101_6^2 + 3376/2213*c_0101_6 + 2872/2213, c_0101_2 - 2130/2213*c_0101_3*c_0101_6^9 - 7048/2213*c_0101_3*c_0101_6^8 - 12969/2213*c_0101_3*c_0101_6^7 - 13823/2213*c_0101_3*c_0101_6^6 - 9288/2213*c_0101_3*c_0101_6^5 + 3286/2213*c_0101_3*c_0101_6^4 + 5409/2213*c_0101_3*c_0101_6^3 + 7332/2213*c_0101_3*c_0101_6^2 - 1600/2213*c_0101_3*c_0101_6 - 2368/2213*c_0101_3, c_0101_3^2 - 9213/4426*c_0101_6^9 - 16028/2213*c_0101_6^8 - 27108/2213*c_0101_6^7 - 26184/2213*c_0101_6^6 - 33485/4426*c_0101_6^5 + 5732/2213*c_0101_6^4 + 23667/4426*c_0101_6^3 + 7171/4426*c_0101_6^2 - 4146/2213*c_0101_6 - 9351/4426, c_0101_6^10 + 11/3*c_0101_6^9 + 20/3*c_0101_6^8 + 22/3*c_0101_6^7 + 17/3*c_0101_6^6 + 1/3*c_0101_6^5 - 7/3*c_0101_6^4 - 4/3*c_0101_6^3 + 1/3*c_0101_6^2 + c_0101_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB