Magma V2.19-8 Tue Aug 20 2013 17:57:04 on localhost [Seed = 3347477449] Type ? for help. Type -D to quit. Loading file "11_440__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_440 geometric_solution 11.41092941 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.091360561314 0.905101363986 0 5 7 6 0132 0132 0132 0132 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 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.262296854540 1.170976457643 5 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.412042151601 0.918827781754 10 11 5 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.412042151601 0.918827781754 7 6 0 5 2310 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 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.262296854540 1.170976457643 2 1 4 3 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.091360561314 0.905101363986 11 8 1 4 2103 2103 0132 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 8 0 -8 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 0.182152427066 0.813186281517 9 10 4 1 0321 0321 3201 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 0 0 0 0 0 0 0 1 -1 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182152427066 0.813186281517 11 6 2 10 3201 2103 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 0 0 0 0 -1 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 0.541625968897 0.836482270561 7 10 11 2 0321 3201 3201 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 0 1 -1 0 0 0 0 -1 1 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541625968897 0.836482270561 3 8 9 7 0132 2310 2310 0321 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 -1 0 1 0 -9 8 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541625968897 0.836482270561 9 3 6 8 2310 0132 2103 2310 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 9 0 -8 -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 0.541625968897 0.836482270561 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : negation(d['c_0101_0']), 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0110_8']), 'c_1010_10' : negation(d['c_0110_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0011_9'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_8']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_8'], '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_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_5, c_0110_8, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 148/3*c_1100_0 - 11999/180, c_0011_0 - 1, c_0011_10 - 1/3*c_1100_0 - 1/3, c_0011_4 - 1/3*c_1100_0 - 1/3, c_0011_6 + 1/3*c_1100_0 + 1/3, c_0011_7 + 1/3*c_1100_0 + 1/3, c_0011_8 + 2/3*c_1100_0 + 2/3, c_0011_9 - 2/3*c_1100_0 - 2/3, c_0101_0 - 1/3*c_1100_0 + 2/3, c_0101_5 - 2/3*c_1100_0 + 1/3, c_0110_8 - 1/3*c_1100_0 + 2/3, c_1001_10 - 2/3*c_1100_0 + 1/3, c_1100_0^2 + 1/5*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_5, c_0110_8, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 440*c_1100_0 + 146329/546, c_0011_0 - 1, c_0011_10 - c_1100_0 - 1, c_0011_4 - c_1100_0 - 1, c_0011_6 + 7/3*c_1001_10*c_1100_0 + 8/3*c_1001_10 - 2/3*c_1100_0 - 1/3, c_0011_7 - 7/3*c_1001_10*c_1100_0 - 8/3*c_1001_10 + 2/3*c_1100_0 + 1/3, c_0011_8 - 7/3*c_1001_10*c_1100_0 - 8/3*c_1001_10 - 1/3*c_1100_0 - 2/3, c_0011_9 - 7/3*c_1001_10*c_1100_0 - 8/3*c_1001_10 + 5/3*c_1100_0 + 4/3, c_0101_0 + 7/3*c_1001_10*c_1100_0 + 5/3*c_1001_10 + 4/3*c_1100_0 + 5/3, c_0101_5 + c_1001_10 - 2*c_1100_0 - 2, c_0110_8 - 7/3*c_1001_10*c_1100_0 - 5/3*c_1001_10 + 2/3*c_1100_0 + 1/3, c_1001_10^2 - 2*c_1001_10*c_1100_0 - 2*c_1001_10 - 4/7*c_1100_0 - 1, c_1100_0^2 + 13/7*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_5, c_0110_8, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 41/39*c_1001_10^5 - 82/39*c_1001_10^4 + 127/39*c_1001_10^3 + 250/39*c_1001_10^2 - 4/39*c_1001_10 - 105/13, c_0011_0 - 1, c_0011_10 - 2*c_1001_10^5 - 4*c_1001_10^4 + c_1001_10^3 + 7*c_1001_10^2 + 5*c_1001_10 - 1, c_0011_4 + c_1001_10^5 + 2*c_1001_10^4 - c_1001_10^3 - 4*c_1001_10^2 - 2*c_1001_10 + 4, c_0011_6 - 2*c_1001_10^5 - 5*c_1001_10^4 + 9*c_1001_10^2 + 7*c_1001_10 - 2, c_0011_7 + c_1001_10^4 + 2*c_1001_10^3 - c_1001_10^2 - 3*c_1001_10 - 1, c_0011_8 - c_1001_10^5 - 3*c_1001_10^4 - c_1001_10^3 + 4*c_1001_10^2 + 5*c_1001_10, c_0011_9 + c_1001_10^5 + c_1001_10^4 - 2*c_1001_10^3 - 3*c_1001_10^2 + 3, c_0101_0 + c_1001_10, c_0101_5 + c_1001_10^5 + 2*c_1001_10^4 - c_1001_10^3 - 4*c_1001_10^2 - c_1001_10 + 2, c_0110_8 - c_1001_10^5 - 2*c_1001_10^4 + c_1001_10^3 + 4*c_1001_10^2 + c_1001_10 - 2, c_1001_10^6 + c_1001_10^5 - 3*c_1001_10^4 - 4*c_1001_10^3 + 2*c_1001_10^2 + 5*c_1001_10 - 1, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_5, c_0110_8, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 424/3*c_1001_10^6 + 360*c_1001_10^5 + 474*c_1001_10^4 - 542/3*c_1001_10^3 - 1426/3*c_1001_10^2 - 148/3*c_1001_10 + 389/3, c_0011_0 - 1, c_0011_10 + 10*c_1001_10^6 + 26*c_1001_10^5 + 36*c_1001_10^4 - 8*c_1001_10^3 - 29*c_1001_10^2 - 4*c_1001_10 + 7, c_0011_4 - 4*c_1001_10^6 - 10*c_1001_10^5 - 14*c_1001_10^4 + 2*c_1001_10^3 + 8*c_1001_10^2 + c_1001_10 - 2, c_0011_6 - 4*c_1001_10^6 - 10*c_1001_10^5 - 12*c_1001_10^4 + 8*c_1001_10^3 + 16*c_1001_10^2 - 5, c_0011_7 - 4*c_1001_10^6 - 10*c_1001_10^5 - 12*c_1001_10^4 + 8*c_1001_10^3 + 16*c_1001_10^2 - 5, c_0011_8 + 6*c_1001_10^6 + 16*c_1001_10^5 + 22*c_1001_10^4 - 4*c_1001_10^3 - 19*c_1001_10^2 - 2*c_1001_10 + 5, c_0011_9 - 6*c_1001_10^6 - 16*c_1001_10^5 - 22*c_1001_10^4 + 4*c_1001_10^3 + 19*c_1001_10^2 + 2*c_1001_10 - 5, c_0101_0 + c_1001_10, c_0101_5 - c_1001_10, c_0110_8 + c_1001_10, c_1001_10^7 + 2*c_1001_10^6 + 2*c_1001_10^5 - 3*c_1001_10^4 - 5/2*c_1001_10^3 + 3/2*c_1001_10^2 + c_1001_10 - 1/2, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.710 Total time: 0.930 seconds, Total memory usage: 32.09MB