Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 812756201] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1730 geometric_solution 5.43501389 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -1 1 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 0.670158503738 1.296931454015 0 5 3 3 0132 0132 2310 1230 0 0 0 0 0 0 0 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 0 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 0.321643951933 1.354169800543 5 0 4 3 2310 0132 1302 3012 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 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 0.170124151459 0.151788781557 1 1 2 0 3012 3201 1230 0132 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 1 0 -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 0 0 0 0.136850577771 0.188810247127 2 6 0 6 2031 0132 0132 1023 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 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 1.087882017378 0.515417538025 6 1 2 6 2031 0132 3201 3120 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 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 0.427199760906 0.971334578397 5 4 5 4 3120 0132 1302 1023 0 0 0 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 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 0.640463839422 0.377923960869 ==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_0101_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], '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_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0110_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0110_4']})} 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_0101_1, c_0101_5, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 87/143*c_0110_5^8 + 1/13*c_0110_5^7 + 318/143*c_0110_5^6 - 227/143*c_0110_5^5 - 654/143*c_0110_5^4 + 720/143*c_0110_5^3 + 498/143*c_0110_5^2 - 398/143*c_0110_5 + 214/143, c_0011_0 - 1, c_0011_3 + 3/5*c_0110_5^8 - 7/5*c_0110_5^7 + 1/5*c_0110_5^6 + 16/5*c_0110_5^5 - 13/5*c_0110_5^4 - 3*c_0110_5^3 + 17/5*c_0110_5^2 + c_0110_5 - 6/5, c_0011_4 + 1/5*c_0110_5^8 - 4/5*c_0110_5^7 + 2/5*c_0110_5^6 + 7/5*c_0110_5^5 - 6/5*c_0110_5^4 - 2*c_0110_5^3 + 9/5*c_0110_5^2 + c_0110_5 - 2/5, c_0101_1 + 7/5*c_0110_5^8 - 13/5*c_0110_5^7 - 6/5*c_0110_5^6 + 34/5*c_0110_5^5 - 7/5*c_0110_5^4 - 8*c_0110_5^3 + 13/5*c_0110_5^2 + 4*c_0110_5 - 4/5, c_0101_5 - 2/5*c_0110_5^8 + 3/5*c_0110_5^7 + 6/5*c_0110_5^6 - 14/5*c_0110_5^5 - 3/5*c_0110_5^4 + 5*c_0110_5^3 - 3/5*c_0110_5^2 - 4*c_0110_5 + 4/5, c_0110_4 - 2/5*c_0110_5^8 + 3/5*c_0110_5^7 + 1/5*c_0110_5^6 - 4/5*c_0110_5^5 - 3/5*c_0110_5^4 + c_0110_5^3 + 7/5*c_0110_5^2 - 6/5, c_0110_5^9 - 2*c_0110_5^8 - c_0110_5^7 + 6*c_0110_5^6 - 2*c_0110_5^5 - 7*c_0110_5^4 + 4*c_0110_5^3 + 3*c_0110_5^2 - 2*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB