Magma V2.19-8 Tue Aug 20 2013 17:56:13 on localhost [Seed = 2118109619] Type ? for help. Type -D to quit. Loading file "11_201__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_201 geometric_solution 10.40453674 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333119001713 0.919602385722 0 5 7 6 0132 0132 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 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 -0.075039378805 0.816126065434 8 0 9 6 0132 0132 0132 2031 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 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 0.276254752933 1.050236520394 5 4 9 0 2310 2031 0321 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 -1 0 0 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108627521493 0.716741677304 3 8 0 10 1302 2310 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 0 -1 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 0.651781119282 0.961286842883 8 1 3 7 1023 0132 3201 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 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 0.643027938466 1.316548016247 8 2 1 10 2310 1302 0132 1230 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 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 -0.206705390844 1.363875070569 5 9 10 1 3012 3120 1230 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353590452875 1.019687066218 2 5 6 4 0132 1023 3201 3201 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 0 0 0 0 0.444887815359 0.645582728262 10 7 3 2 1302 3120 0321 0132 0 0 0 0 0 0 0 0 -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 0 0 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 0 0 0 0 0.191845402975 0.707544684667 6 9 4 7 3012 2031 0132 3012 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 1 -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 0.590106621836 0.447984887773 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_1001_7']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : negation(d['c_0011_4']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0110_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 177847/6*c_1001_7^3 + 107093/2*c_1001_7^2 + 764897/12*c_1001_7 + 919073/12, c_0011_0 - 1, c_0011_10 - 2/3*c_1001_7^3 - 5/3*c_1001_7 - 2/3, c_0011_3 + c_1001_7, c_0011_4 + 2/3*c_1001_7^3 + 2/3*c_1001_7 + 2/3, c_0011_7 - c_1001_7, c_0011_9 + 2/3*c_1001_7^3 - 1/3*c_1001_7 - 1/3, c_0101_0 - 2/3*c_1001_7^3 - 2/3*c_1001_7 + 1/3, c_0101_10 - 2/3*c_1001_7^3 - 2/3*c_1001_7 + 1/3, c_0101_2 + 1, c_0110_10 - c_1001_7, c_1001_7^4 + 2*c_1001_7^3 + 5/2*c_1001_7^2 + 3*c_1001_7 + 1/2 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0110_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 466321/288*c_1001_7^6 - 6140827/576*c_1001_7^5 - 14235031/576*c_1001_7^4 - 1216763/48*c_1001_7^3 - 3185377/96*c_1001_7^2 - 3880411/192*c_1001_7 - 4487357/576, c_0011_0 - 1, c_0011_10 + 11/18*c_1001_7^6 + 73/18*c_1001_7^5 + 169/18*c_1001_7^4 + 55/6*c_1001_7^3 + 35/3*c_1001_7^2 + 8*c_1001_7 + 19/9, c_0011_3 + c_1001_7, c_0011_4 + 11/18*c_1001_7^6 + 73/18*c_1001_7^5 + 169/18*c_1001_7^4 + 55/6*c_1001_7^3 + 35/3*c_1001_7^2 + 8*c_1001_7 + 19/9, c_0011_7 - 5/18*c_1001_7^6 - 37/18*c_1001_7^5 - 103/18*c_1001_7^4 - 15/2*c_1001_7^3 - 8*c_1001_7^2 - 19/3*c_1001_7 - 28/9, c_0011_9 + 1/3*c_1001_7^5 + 2*c_1001_7^4 + 11/3*c_1001_7^3 + 5/3*c_1001_7^2 + 11/3*c_1001_7 + 2/3, c_0101_0 - 2/9*c_1001_7^6 - 23/18*c_1001_7^5 - 41/18*c_1001_7^4 - 7/6*c_1001_7^3 - 13/6*c_1001_7^2 + 2/3*c_1001_7 + 4/9, c_0101_10 - 2/9*c_1001_7^6 - 23/18*c_1001_7^5 - 41/18*c_1001_7^4 - 7/6*c_1001_7^3 - 13/6*c_1001_7^2 + 2/3*c_1001_7 + 4/9, c_0101_2 + 1, c_0110_10 - 19/18*c_1001_7^6 - 125/18*c_1001_7^5 - 287/18*c_1001_7^4 - 91/6*c_1001_7^3 - 56/3*c_1001_7^2 - 37/3*c_1001_7 - 26/9, c_1001_7^7 + 7*c_1001_7^6 + 18*c_1001_7^5 + 22*c_1001_7^4 + 27*c_1001_7^3 + 21*c_1001_7^2 + 10*c_1001_7 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB