Magma V2.19-8 Tue Aug 20 2013 23:41:41 on localhost [Seed = 71458990] Type ? for help. Type -D to quit. Loading file "L13n5897__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5897 geometric_solution 7.85730433 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080391235283 1.109598804280 0 5 2 6 0132 0132 1023 0132 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 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 0 0 0 0 0 0 0 0 0 0 0.629060258576 0.610448875231 7 0 1 8 0132 0132 1023 0132 1 1 1 0 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 -1 0 1 -1 0 3 -2 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047609144211 1.369209438455 6 9 9 0 0132 0132 1023 0132 1 1 1 1 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384620003329 0.465542977529 5 7 0 6 0132 0132 0132 3201 1 1 1 0 0 -1 0 1 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 -3 1 2 0 0 0 0 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120581124683 0.686345369852 4 1 8 7 0132 0132 1302 1023 1 1 0 1 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.181299831734 0.794478096582 3 4 1 8 0132 2310 0132 2031 1 1 1 1 0 0 -1 1 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 -3 3 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 1.548309724937 0.389145428827 2 4 8 5 0132 0132 2031 1023 1 1 0 1 0 1 -1 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 3 -3 0 1 0 -1 0 -1 4 0 -3 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342367076975 0.492205726631 5 6 2 7 2031 1302 0132 1302 1 1 1 1 0 0 0 0 0 0 1 -1 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 -1 1 0 0 2 -2 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217639380845 0.264160969738 9 3 3 9 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.782011603683 0.816253603801 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0110_8']), 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_3'], 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : 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_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0101_7'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_7'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_7'], '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'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 4270/169*c_0110_8^3 + 4112/169*c_0110_8^2 + 867/169*c_0110_8 - 396/169, c_0011_0 - 1, c_0011_3 + 15/13*c_0110_8^3 + 16/13*c_0110_8^2 - 29/13*c_0110_8 - 24/13, c_0011_8 + 50/13*c_0110_8^3 + 10/13*c_0110_8^2 - 36/13*c_0110_8 - 15/13, c_0101_0 - 1, c_0101_1 + 40/13*c_0110_8^3 + 21/13*c_0110_8^2 - 21/13*c_0110_8 - 12/13, c_0101_2 - 10/13*c_0110_8^3 + 11/13*c_0110_8^2 + 28/13*c_0110_8 + 3/13, c_0101_3 - 50/13*c_0110_8^3 - 10/13*c_0110_8^2 + 49/13*c_0110_8 + 28/13, c_0101_7 + 15/13*c_0110_8^3 + 16/13*c_0110_8^2 - 16/13*c_0110_8 - 11/13, c_0101_9 + 55/13*c_0110_8^3 + 37/13*c_0110_8^2 - 50/13*c_0110_8 - 36/13, c_0110_8^4 + 2/5*c_0110_8^3 - 6/5*c_0110_8^2 - 3/5*c_0110_8 + 1/5 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1803/2*c_0110_8^3 - 786*c_0110_8^2 + 391*c_0110_8 - 691/2, c_0011_0 - 1, c_0011_3 - 9/2*c_0110_8^3 - 9/2*c_0110_8^2 - 3/2*c_0110_8 - 1, c_0011_8 - 3*c_0110_8^3 - 3*c_0110_8^2 - c_0110_8 - 1, c_0101_0 - 1, c_0101_1 + 3/2*c_0110_8^3 - 2*c_0110_8 - 1/2, c_0101_2 + 3/2*c_0110_8^3 - 3/2*c_0110_8^2 - 1/2*c_0110_8 + 1, c_0101_3 + 3*c_0110_8^3 + 3*c_0110_8^2 + 2*c_0110_8 + 2, c_0101_7 - 3/2*c_0110_8^3 - 1/2, c_0101_9 + 6*c_0110_8^3 + 9/2*c_0110_8^2 + 5/2*c_0110_8 + 5/2, c_0110_8^4 - 1/3*c_0110_8^2 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB