Magma V2.19-8 Tue Aug 20 2013 23:43:51 on localhost [Seed = 2362108319] Type ? for help. Type -D to quit. Loading file "L14n1148__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1148 geometric_solution 10.82245680 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 0 1 1 1 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 2 -1 -1 0 0 1 -1 13 0 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496699789166 0.921926285849 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592572183043 0.919823965919 7 0 6 0 0132 0132 3012 0213 0 1 1 1 0 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 -2 1 1 0 0 -13 13 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496699789166 0.921926285849 7 6 6 0 2031 3012 3120 0132 0 1 1 1 0 1 0 -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 -1 0 1 1 0 0 -1 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547078992484 0.840668329946 8 1 8 9 0132 0132 1023 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739935713018 0.756150959500 10 9 1 9 0132 1023 0132 0213 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 -1 1 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421709764364 0.764074985254 3 2 3 1 1230 1230 3120 0132 1 1 1 0 0 -1 1 0 0 0 0 0 -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 13 -12 -1 0 0 0 0 12 0 0 -12 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496699789166 0.921926285849 2 10 3 9 0132 1302 1302 2031 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 -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 0.592572183043 0.919823965919 4 10 4 10 0132 3120 1023 1302 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 0.583491063822 0.350146680869 5 7 4 5 1023 1302 0132 0213 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 1 0 0 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446320585848 1.003184241753 5 8 8 7 0132 3120 2031 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338911713695 0.675575638815 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_4'], 'c_1010_10' : d['c_0011_0'], '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' : negation(d['1']), 's_2_1' : negation(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' : 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' : negation(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_1100_8' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_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' : negation(d['1']), 's_3_9' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : 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_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 47741/4508*c_0101_8^4 + 147824/1127*c_0101_8^3 + 140501/4508*c_0101_8^2 - 5899/644*c_0101_8 - 90063/4508, c_0011_0 - 1, c_0011_10 + c_0101_8, c_0011_3 + 18/23*c_0101_8^4 + 232/23*c_0101_8^3 + 160/23*c_0101_8^2 - 32/23*c_0101_8 - 26/23, c_0011_6 - 1, c_0101_0 + 18/23*c_0101_8^4 + 232/23*c_0101_8^3 + 160/23*c_0101_8^2 - 32/23*c_0101_8 - 49/23, c_0101_10 - 29/23*c_0101_8^4 - 361/23*c_0101_8^3 - 107/23*c_0101_8^2 + 49/23*c_0101_8 + 47/23, c_0101_2 + 18/23*c_0101_8^4 + 232/23*c_0101_8^3 + 160/23*c_0101_8^2 - 32/23*c_0101_8 - 49/23, c_0101_3 - 1, c_0101_4 - 13/23*c_0101_8^4 - 165/23*c_0101_8^3 - 90/23*c_0101_8^2 - 5/23*c_0101_8 + 29/23, c_0101_6 + 1, c_0101_8^5 + 12*c_0101_8^4 - 2*c_0101_8^3 - 4*c_0101_8^2 - c_0101_8 + 1 ], 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_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 62/9*c_0101_8^6 - 29/6*c_0101_8^5 + 209/36*c_0101_8^4 + 206/9*c_0101_8^3 + 109/4*c_0101_8^2 + 479/36*c_0101_8 + 227/36, c_0011_0 - 1, c_0011_10 + c_0101_8, c_0011_3 + 16/9*c_0101_8^6 + 4*c_0101_8^5 + 2/9*c_0101_8^4 - 16/9*c_0101_8^3 - 16/3*c_0101_8^2 - 4/9*c_0101_8 + 2/9, c_0011_6 + 1, c_0101_0 - 16/9*c_0101_8^6 - 4*c_0101_8^5 - 2/9*c_0101_8^4 + 16/9*c_0101_8^3 + 16/3*c_0101_8^2 + 4/9*c_0101_8 + 7/9, c_0101_10 + 8/3*c_0101_8^6 - 2/9*c_0101_8^5 + 13/9*c_0101_8^4 - 5*c_0101_8^3 - 1/9*c_0101_8^2 - 13/9*c_0101_8 + 7/9, c_0101_2 - 16/9*c_0101_8^6 - 4*c_0101_8^5 - 2/9*c_0101_8^4 + 16/9*c_0101_8^3 + 16/3*c_0101_8^2 + 4/9*c_0101_8 + 7/9, c_0101_3 - 1, c_0101_4 + 8/9*c_0101_8^6 + 10/9*c_0101_8^5 + 23/9*c_0101_8^4 - 11/9*c_0101_8^3 - 10/9*c_0101_8^2 - 7/3*c_0101_8 - 1/9, c_0101_6 + 1, c_0101_8^7 + 1/4*c_0101_8^6 + 5/8*c_0101_8^5 - 3/2*c_0101_8^4 - 1/4*c_0101_8^3 - 3/4*c_0101_8^2 + 1/8*c_0101_8 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB