Magma V2.19-8 Wed Aug 21 2013 01:04:54 on localhost [Seed = 340921466] Type ? for help. Type -D to quit. Loading file "L14n24778__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24778 geometric_solution 11.15272844 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 0 1 -1 0 0 1 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241371943145 0.552902000421 0 5 5 6 0132 0132 1302 0132 0 0 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 0 0 0 0 0 0 0 1 0 -3 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765566700851 0.691267827730 7 0 8 8 0132 0132 2031 0132 1 1 0 1 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 0 -1 0 0 1 -1 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860886622824 0.627429913241 9 9 8 0 0132 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681237574484 0.920325722753 7 10 0 11 1302 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 -1 1 -2 3 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.244214463576 0.557009655193 1 1 11 11 2031 0132 1302 3201 0 0 1 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 -1 1 0 0 0 0 1 0 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280444270723 0.649722258497 12 10 1 7 0132 1023 0132 3012 0 0 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861261627736 0.506931531419 2 4 6 12 0132 2031 1230 2031 0 1 1 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 0 0 2 -2 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.265242235973 1.702504647358 10 3 2 2 3201 3201 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.860886622824 0.627429913241 3 12 12 3 0132 3201 0132 3201 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 0 0 0 0 0 0 0 -0.402803917952 0.519214830093 6 4 11 8 1023 0132 0132 2310 1 0 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568149658265 1.281403846898 5 5 4 10 2031 2310 0132 0132 1 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 -1 0 1 0 -1 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280444270723 0.649722258497 6 7 9 9 0132 1302 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.275447129065 1.569500742222 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_5']), 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0110_8']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_3']), 's_1_7' : negation(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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 4303/77*c_0110_8^3 + 2945/77*c_0110_8^2 + 9605/77*c_0110_8 - 13995/77, c_0011_0 - 1, c_0011_10 + c_0110_8^3 - 2*c_0110_8^2 + 1, c_0011_11 + c_0110_8^2 - 2*c_0110_8 + 1, c_0011_3 + c_0110_8^2 - c_0110_8, c_0011_8 - 1, c_0101_0 - 1, c_0101_10 - c_0110_8^2 + 3*c_0110_8 - 2, c_0101_12 - c_0110_8^3 + c_0110_8^2 - 1, c_0101_2 - c_0110_8 + 1, c_0101_3 - c_0110_8 + 1, c_0101_7 - c_0110_8 + 1, c_0110_5 - c_0110_8 + 1, c_0110_8^4 - c_0110_8^3 - 2*c_0110_8^2 + 4*c_0110_8 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 208/5*c_0110_8^4 + 94/5*c_0110_8^3 + 55*c_0110_8^2 - 251/5*c_0110_8 - 356/5, c_0011_0 - 1, c_0011_10 + c_0110_8^3 - c_0110_8^2 - c_0110_8 + 2, c_0011_11 + c_0110_8^4 - c_0110_8^3 - c_0110_8^2 + 2*c_0110_8, c_0011_3 + c_0110_8^2 - c_0110_8, c_0011_8 - 1, c_0101_0 - 1, c_0101_10 - c_0110_8^4 + 2*c_0110_8^2 - 2*c_0110_8 - 1, c_0101_12 - c_0110_8^3 + c_0110_8^2 - 1, c_0101_2 - c_0110_8 + 1, c_0101_3 - c_0110_8 + 1, c_0101_7 - c_0110_8 + 1, c_0110_5 + c_0110_8^3 - c_0110_8^2 + 1, c_0110_8^5 - c_0110_8^4 - c_0110_8^3 + 2*c_0110_8^2 + c_0110_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB