Magma V2.19-8 Tue Aug 20 2013 23:30:37 on localhost [Seed = 223046460] Type ? for help. Type -D to quit. Loading file "L12n59__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n59 geometric_solution 8.35550215 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 -1 2 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 0 1 1 0 0 -1 -12 11 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451679219799 0.615966141961 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 0 0 1 0 0 -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 0 0 0 -1 0 0 1 -1 1 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063288648664 0.806768114781 6 0 8 5 0132 0132 0132 3012 1 0 1 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 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.225818942938 1.055769887112 7 5 6 0 0132 3012 3012 0132 1 0 1 1 0 0 0 0 -1 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806271130295 0.905739369061 6 7 0 8 3012 2103 0132 0132 1 0 0 1 0 0 0 0 0 0 -2 2 1 -2 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 0 0 1 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581081541698 0.766297783449 3 1 2 8 1230 0132 1230 3201 0 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 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 1.225818942938 1.055769887112 2 3 1 4 0132 1230 0132 1230 0 0 1 1 0 0 0 0 0 0 1 -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 -1 1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063288648664 0.806768114781 3 4 8 1 0132 2103 1302 0132 0 0 1 1 0 2 -2 0 1 0 -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 -1 1 0 0 0 0 0 -11 -1 0 12 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371714115266 0.828548226532 7 5 4 2 2031 2310 0132 0132 1 0 1 0 0 0 0 0 2 0 -2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708209655343 0.454443321160 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_1001_1']), 's_2_8' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_0_8' : negation(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_1100_8' : negation(d['c_1001_5']), 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_1001_5']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_8' : negation(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_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_1, c_0101_5, c_0101_8, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 11/4*c_1001_1^3 - 43/8*c_1001_1^2 + 17/8*c_1001_1 + 21/8, c_0011_0 - 1, c_0011_3 + c_1001_1^2 - c_1001_1, c_0011_4 + c_1001_1, c_0011_8 + 1, c_0101_1 - 2*c_1001_1^3 + 3*c_1001_1^2 - c_1001_1 - 1, c_0101_5 + 2*c_1001_1^3 - 3*c_1001_1^2 + c_1001_1 + 1, c_0101_8 - 2*c_1001_1^3 + 3*c_1001_1^2 - 1, c_1001_1^4 - 3/2*c_1001_1^3 + c_1001_1 + 1/2, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB