Magma V2.19-8 Wed Aug 21 2013 01:07:43 on localhost [Seed = 1511801669] Type ? for help. Type -D to quit. Loading file "L14n33803__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33803 geometric_solution 12.15792563 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 1 1 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 1 0 1 -5 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214496204314 0.582050790211 0 4 5 5 0132 0132 0213 0132 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 -1 1 0 1 0 0 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442565471764 1.512638457585 6 0 0 7 0132 0132 0321 0132 0 1 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 -1 0 1 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214496204314 0.582050790211 8 9 0 9 0132 0132 0132 0213 0 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751043044876 0.602362455265 6 1 7 7 1023 0132 0132 0321 0 1 1 1 0 0 1 -1 0 0 0 0 -1 0 0 1 1 0 -1 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 4 0 0 -4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586029143197 1.417923646188 8 1 1 9 3012 0213 0132 0132 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 -1 0 1 -1 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 0.214496204314 0.582050790211 2 4 10 11 0132 1023 0132 0132 1 1 1 1 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 4 -4 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200960123807 1.055791835887 12 4 2 4 0132 0321 0132 0132 0 1 1 1 0 1 0 -1 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 -1 1 0 0 0 0 0 4 0 -4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751043044876 0.602362455265 3 12 10 5 0132 0132 0321 1230 1 1 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 0 0 0 0 -1 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455770930030 0.602221793051 11 3 5 3 1230 0132 0132 0213 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 -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 0.751043044876 0.602362455265 11 12 8 6 0213 1230 0321 0132 1 1 1 1 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 1 -1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897821030672 0.507180711558 10 9 6 12 0213 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063187175788 0.914098756202 7 8 10 11 0132 0132 3012 0213 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924738569312 1.088771247085 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : 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' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(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' : 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' : d['c_1001_9'], 'c_1100_8' : d['c_0101_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_1001_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_1001_9'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_9'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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_0101_9']), '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' : negation(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_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_5'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_5, c_0101_12, c_0101_6, c_0101_9, c_1001_0, c_1001_1, c_1001_2, c_1001_8, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3808081/817173*c_1001_9^5 - 20850052/817173*c_1001_9^4 - 8994688/817173*c_1001_9^3 - 691666/16677*c_1001_9^2 + 63472778/817173*c_1001_9 - 10428385/817173, c_0011_0 - 1, c_0011_10 + 5/3*c_1001_9^5 + 31/3*c_1001_9^4 + 12*c_1001_9^3 + 27*c_1001_9^2 - 14/3*c_1001_9 + 26/3, c_0011_11 + 16/9*c_1001_9^5 + 11*c_1001_9^4 + 115/9*c_1001_9^3 + 88/3*c_1001_9^2 - 50/9*c_1001_9 + 26/3, c_0011_12 + 13/9*c_1001_9^5 + 9*c_1001_9^4 + 97/9*c_1001_9^3 + 24*c_1001_9^2 - 47/9*c_1001_9 + 7, c_0011_5 - 14/9*c_1001_9^5 - 86/9*c_1001_9^4 - 95/9*c_1001_9^3 - 218/9*c_1001_9^2 + 46/9*c_1001_9 - 74/9, c_0101_12 - 17/9*c_1001_9^5 - 106/9*c_1001_9^4 - 128/9*c_1001_9^3 - 289/9*c_1001_9^2 + 46/9*c_1001_9 - 91/9, c_0101_6 - 19/9*c_1001_9^5 - 119/9*c_1001_9^4 - 145/9*c_1001_9^3 - 320/9*c_1001_9^2 + 38/9*c_1001_9 - 101/9, c_0101_9 + 1/9*c_1001_9^5 + 5/9*c_1001_9^4 + 1/9*c_1001_9^3 + 17/9*c_1001_9^2 - 11/9*c_1001_9 + 5/9, c_1001_0 - 1, c_1001_1 - 1/9*c_1001_9^4 - 2/3*c_1001_9^3 - 4/9*c_1001_9^2 - 4/3*c_1001_9 + 5/9, c_1001_2 - 2/9*c_1001_9^5 - 4/3*c_1001_9^4 - 11/9*c_1001_9^3 - 8/3*c_1001_9^2 + 13/9*c_1001_9 - 1, c_1001_8 - 17/9*c_1001_9^5 - 107/9*c_1001_9^4 - 131/9*c_1001_9^3 - 278/9*c_1001_9^2 + 31/9*c_1001_9 - 83/9, c_1001_9^6 + 6*c_1001_9^5 + 6*c_1001_9^4 + 15*c_1001_9^3 - 6*c_1001_9^2 + 6*c_1001_9 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB