Magma V2.19-8 Tue Aug 20 2013 23:55:46 on localhost [Seed = 560417045] Type ? for help. Type -D to quit. Loading file "L14n13113__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13113 geometric_solution 9.43679642 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 2 0132 0132 2310 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.105207421361 1.935988466926 0 0 3 3 0132 3201 3201 0132 1 1 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 0 0 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389939203650 0.203173151918 0 0 5 4 3201 0132 0132 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 1 0 -1 0 0 0 0 -1 12 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024245357687 0.457006285126 1 6 1 7 2310 0132 0132 0132 1 1 1 1 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 12 -12 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 0.512201446445 0.566710223160 8 9 2 9 0132 0132 0132 1230 1 1 0 1 0 0 0 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 -1 1 0 0 0 0 0 -1 -1 0 2 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.138056108307 0.830384908657 6 8 9 2 3012 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.150950754620 2.860822217326 10 3 7 5 0132 0132 1302 1230 1 1 1 1 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 0 0 0 0 -12 12 0 11 0 -11 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 -0.392589721400 0.979482386301 6 10 3 10 2031 1302 0132 3201 1 1 1 1 0 0 0 0 1 0 0 -1 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 -12 0 0 12 -1 1 0 0 11 -12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889614968161 1.703584937453 4 11 11 5 0132 0132 1302 3201 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 11 -11 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037875907006 0.584543244605 4 4 11 5 3012 0132 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573411555506 0.418390884831 6 7 11 7 0132 2310 0321 2031 1 1 1 1 0 0 0 0 1 0 -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 0 0 0 1 -1 -11 0 11 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889614968161 1.703584937453 8 8 10 9 2031 0132 0321 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 0 -1 1 0 0 0 0 1 0 0 -1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889614968161 1.703584937453 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : d['c_0011_5'], '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' : negation(d['1']), 's_2_7' : negation(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' : 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_9' : d['c_1001_10'], 'c_1100_8' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_0110_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_1001_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' : d['1'], 's_3_9' : d['1'], 's_3_8' : 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' : 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_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_9, c_0110_9, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 69269/1348*c_1001_10^5 - 4348165/70096*c_1001_10^4 + 1554481/17524*c_1001_10^3 - 78099/1348*c_1001_10^2 + 35343/17524*c_1001_10 - 147906/4381, c_0011_0 - 1, c_0011_10 + 247/674*c_1001_10^5 + 383/1348*c_1001_10^4 - 677/674*c_1001_10^3 + 362/337*c_1001_10^2 - 341/337*c_1001_10 - 18/337, c_0011_11 - 1, c_0011_5 - 702/337*c_1001_10^5 + 1909/674*c_1001_10^4 - 1304/337*c_1001_10^3 + 727/337*c_1001_10^2 + 342/337*c_1001_10 + 528/337, c_0011_7 - 195/1348*c_1001_10^5 + 1117/1348*c_1001_10^4 - 128/337*c_1001_10^3 - 1/337*c_1001_10^2 + 108/337*c_1001_10 - 188/337, c_0101_0 - 2223/1348*c_1001_10^5 + 1212/337*c_1001_10^4 - 2851/674*c_1001_10^3 + 2471/674*c_1001_10^2 - 319/337*c_1001_10 + 81/337, c_0101_1 + c_1001_10 - 1, c_0101_4 + c_1001_10, c_0101_5 + 858/337*c_1001_10^5 - 1410/337*c_1001_10^4 + 3899/674*c_1001_10^3 - 1600/337*c_1001_10^2 + 256/337*c_1001_10 - 533/337, c_0101_9 - 858/337*c_1001_10^5 + 1410/337*c_1001_10^4 - 3899/674*c_1001_10^3 + 1600/337*c_1001_10^2 - 593/337*c_1001_10 + 533/337, c_0110_9 - 156/337*c_1001_10^5 + 911/674*c_1001_10^4 - 1291/674*c_1001_10^3 + 873/337*c_1001_10^2 - 261/337*c_1001_10 + 5/337, c_1001_10^6 - 32/13*c_1001_10^5 + 44/13*c_1001_10^4 - 44/13*c_1001_10^3 + 20/13*c_1001_10^2 - 8/13*c_1001_10 + 8/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB