Magma V2.19-8 Wed Aug 21 2013 01:07:28 on localhost [Seed = 1663400560] Type ? for help. Type -D to quit. Loading file "L14n33319__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33319 geometric_solution 11.72857237 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 0 -1 0 2 -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 -1 0 1 -5 0 9 -4 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042675566316 1.046136890368 0 5 4 6 0132 0132 1230 0132 1 1 1 0 0 -1 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 5 0 0 -5 4 -4 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066509162601 1.009609951418 7 0 3 8 0132 0132 0213 0132 0 1 1 0 0 0 0 0 0 0 -1 1 1 0 0 -1 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 -4 4 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576257474397 0.481146385574 9 2 10 0 0132 0213 0132 0132 0 1 1 0 0 0 0 0 1 0 1 -2 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 0 0 0 4 0 5 -9 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454812972687 0.625860976297 11 10 0 1 0132 0132 0132 3012 0 1 1 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 -1 1 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 0 0.583482437325 0.791396646605 6 1 9 11 0321 0132 0321 0321 1 1 0 1 0 1 -1 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 4 -4 0 0 0 0 0 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529365805560 0.582106194504 5 10 1 12 0321 1023 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 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 5 -5 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.396620552201 1.737768788602 2 12 8 8 0132 2031 1302 3201 1 1 0 1 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 -5 0 5 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.237885923719 0.651161813232 7 7 2 9 2031 2310 0132 2031 0 1 1 1 0 0 0 0 0 0 -1 1 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 -4 4 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.785701226244 0.871965531200 3 8 5 12 0132 1302 0321 2031 1 1 0 1 0 -1 1 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 -4 4 0 -4 0 4 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 0.378131956453 0.556353477263 6 4 11 3 1023 0132 2031 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347430618818 0.455750682913 4 5 12 10 0132 0321 2031 1302 1 1 0 1 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364377238541 0.981052678071 7 9 6 11 1302 1302 0132 1302 1 1 1 0 0 0 0 0 -1 0 1 0 1 0 0 -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 -5 0 5 0 5 0 0 -5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460986669224 0.543434373103 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_12']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_12']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : negation(d['1']), 's_3_0' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_11'], 's_1_7' : negation(d['1']), 's_1_6' : 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_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_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_0']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0110_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0110_12, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 979447/43224819*c_1001_2^5 - 207069/28816546*c_1001_2^4 + 2035977/14408273*c_1001_2^3 + 1522559/86449638*c_1001_2^2 - 12158347/28816546*c_1001_2 - 28229396/43224819, c_0011_0 - 1, c_0011_10 + 165/1457*c_1001_2^5 + 67/1457*c_1001_2^4 + 1462/1457*c_1001_2^3 + 1566/1457*c_1001_2^2 + 153/1457*c_1001_2 - 694/1457, c_0011_12 + 98/1457*c_1001_2^5 - 75/1457*c_1001_2^4 + 886/1457*c_1001_2^3 - 209/1457*c_1001_2^2 - 280/1457*c_1001_2 - 6/1457, c_0011_3 - 52/1457*c_1001_2^5 + 129/1457*c_1001_2^4 - 708/1457*c_1001_2^3 + 884/1457*c_1001_2^2 - 684/1457*c_1001_2 - 1097/1457, c_0011_8 + 1805/18941*c_1001_2^5 - 144/1457*c_1001_2^4 + 14713/18941*c_1001_2^3 - 3002/18941*c_1001_2^2 - 7863/18941*c_1001_2 + 19782/18941, c_0101_0 - 1, c_0101_1 - 165/1457*c_1001_2^5 - 67/1457*c_1001_2^4 - 1462/1457*c_1001_2^3 - 1566/1457*c_1001_2^2 - 1610/1457*c_1001_2 + 694/1457, c_0101_10 - 1/13*c_1001_2^5 - 8/13*c_1001_2^3 - 6/13*c_1001_2^2 + 1/13*c_1001_2 - 2/13, c_0101_11 + 1451/18941*c_1001_2^5 - 98/1457*c_1001_2^4 + 12583/18941*c_1001_2^3 - 2812/18941*c_1001_2^2 + 1266/18941*c_1001_2 - 12399/18941, c_0101_3 - 67/1457*c_1001_2^5 - 142/1457*c_1001_2^4 - 576/1457*c_1001_2^3 - 1775/1457*c_1001_2^2 - 433/1457*c_1001_2 + 688/1457, c_0110_12 - 1451/18941*c_1001_2^5 + 98/1457*c_1001_2^4 - 12583/18941*c_1001_2^3 + 2812/18941*c_1001_2^2 - 1266/18941*c_1001_2 - 6542/18941, c_1001_1 - 165/1457*c_1001_2^5 - 67/1457*c_1001_2^4 - 1462/1457*c_1001_2^3 - 1566/1457*c_1001_2^2 - 1610/1457*c_1001_2 - 763/1457, c_1001_2^6 + 8*c_1001_2^4 + 6*c_1001_2^3 - c_1001_2^2 + 2*c_1001_2 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB