Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 3103335514] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2062 geometric_solution 5.58355572 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 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 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421832007236 0.545085087190 3 0 5 4 0132 0132 0132 0132 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 -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 0.915697931180 0.863301484869 6 4 3 0 0132 2310 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915697931180 0.863301484869 1 5 2 6 0132 2103 1023 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656886025718 0.276115326184 4 4 1 2 1230 3012 0132 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 -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 1.326508586612 0.985927177824 6 3 6 1 3012 2103 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.293747622037 0.543813588162 2 5 3 5 0132 3201 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.293747622037 0.543813588162 ==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_1'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], '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_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : 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_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 995779802/1800680875*c_0101_3^7 - 2557031118/1800680875*c_0101_3^6 - 20509975194/1800680875*c_0101_3^5 + 52004053284/1800680875*c_0101_3^4 - 898295298/51448025*c_0101_3^3 - 134871333/51448025*c_0101_3^2 - 16305211527/1800680875*c_0101_3 + 25819095396/1800680875, c_0011_0 - 1, c_0011_2 - 296058/2057921*c_0101_3^7 + 852027/2057921*c_0101_3^6 + 5959867/2057921*c_0101_3^5 - 17619356/2057921*c_0101_3^4 + 12137503/2057921*c_0101_3^3 + 3864493/2057921*c_0101_3^2 + 1442946/2057921*c_0101_3 - 10194790/2057921, c_0011_4 - 175411/2057921*c_0101_3^7 + 409246/2057921*c_0101_3^6 + 3706536/2057921*c_0101_3^5 - 8257910/2057921*c_0101_3^4 + 3815912/2057921*c_0101_3^3 + 970834/2057921*c_0101_3^2 + 1311281/2057921*c_0101_3 - 3045010/2057921, c_0011_5 + 131064/2057921*c_0101_3^7 - 442377/2057921*c_0101_3^6 - 2458619/2057921*c_0101_3^5 + 9120421/2057921*c_0101_3^4 - 9029849/2057921*c_0101_3^3 + 501894/2057921*c_0101_3^2 + 55958/2057921*c_0101_3 + 5183551/2057921, c_0101_0 + 248944/2057921*c_0101_3^7 - 747175/2057921*c_0101_3^6 - 5020130/2057921*c_0101_3^5 + 15498617/2057921*c_0101_3^4 - 9641833/2057921*c_0101_3^3 - 3309508/2057921*c_0101_3^2 - 4522308/2057921*c_0101_3 + 9500744/2057921, c_0101_1 + 131064/2057921*c_0101_3^7 - 442377/2057921*c_0101_3^6 - 2458619/2057921*c_0101_3^5 + 9120421/2057921*c_0101_3^4 - 9029849/2057921*c_0101_3^3 + 501894/2057921*c_0101_3^2 + 55958/2057921*c_0101_3 + 5183551/2057921, c_0101_3^8 - 4*c_0101_3^7 - 17*c_0101_3^6 + 82*c_0101_3^5 - 105*c_0101_3^4 + 35*c_0101_3^3 - c_0101_3^2 + 43*c_0101_3 - 35 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB