Magma V2.19-8 Tue Aug 20 2013 23:44:33 on localhost [Seed = 964648073] Type ? for help. Type -D to quit. Loading file "L9a28__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a28 geometric_solution 9.12441551 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 1 2 3 0132 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 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 0.505340646392 0.851989632694 0 4 5 0 0132 0132 0132 2031 1 1 0 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 1 -1 0 0 0 2 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509656395506 0.877820184821 4 4 6 0 0132 1230 0132 0132 1 1 0 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 0 1 0 0 0 0 -4 3 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265307433826 1.259873831278 7 8 0 6 0132 0132 0132 2310 1 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 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 1.230535848229 0.418470288188 2 1 2 8 0132 0132 3012 1302 1 1 1 0 0 -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 -1 1 0 0 0 1 -1 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839951608588 0.760026875878 7 9 9 1 3120 0132 1302 0132 1 1 1 1 0 -1 0 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 -2 1 1 2 0 0 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953856007060 1.343752133905 3 6 6 2 3201 1230 3012 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292881492137 0.587301831057 3 9 8 5 0132 1302 2103 3120 1 1 1 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 -1 0 1 0 0 2 -2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773017156727 0.493051642434 7 3 4 9 2103 0132 2031 3012 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975736959908 1.028164969570 5 5 8 7 2031 0132 1230 2031 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 2 -2 0 -1 0 0 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 0.648737943206 0.494843178513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_2']), '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' : 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' : 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_0011_5'], 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : negation(d['c_0101_9']), 's_3_1' : 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' : 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' : 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_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0101_6']), 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 248836818287178171/772775336352064*c_1001_1^8 - 267539362776712827/96596917044008*c_1001_1^7 - 7224953976309060495/772775336352064*c_1001_1^6 - 1658486590334620429/96596917044008*c_1001_1^5 - 16912589589872644823/772775336352064*c_1001_1^4 - 2005749911426785645/96596917044008*c_1001_1^3 - 9776463753637333027/772775336352064*c_1001_1^2 - 339919915651096557/96596917044008*c_1001_1 - 301784270629774051/772775336352064, c_0011_0 - 1, c_0011_3 - 68427186966/16517940671*c_1001_1^8 - 575510606820/16517940671*c_1001_1^7 - 1874924468973/16517940671*c_1001_1^6 - 3275072489850/16517940671*c_1001_1^5 - 3984079144901/16517940671*c_1001_1^4 - 3598513120657/16517940671*c_1001_1^3 - 1947695713329/16517940671*c_1001_1^2 - 339858061589/16517940671*c_1001_1 - 7735798167/16517940671, c_0011_5 + 55773183690/16517940671*c_1001_1^8 + 939666570129/33035881342*c_1001_1^7 + 3073501283159/33035881342*c_1001_1^6 + 2705743774573/16517940671*c_1001_1^5 + 3317833941831/16517940671*c_1001_1^4 + 3006187757020/16517940671*c_1001_1^3 + 3305967717871/33035881342*c_1001_1^2 + 625031795455/33035881342*c_1001_1 + 4665321568/16517940671, c_0011_6 - 12614399163/33035881342*c_1001_1^8 - 59904678870/16517940671*c_1001_1^7 - 227962716456/16517940671*c_1001_1^6 - 943253961015/33035881342*c_1001_1^5 - 1295416364099/33035881342*c_1001_1^4 - 665597135841/16517940671*c_1001_1^3 - 955012799087/33035881342*c_1001_1^2 - 390712365597/33035881342*c_1001_1 - 21971710363/16517940671, c_0101_0 + 344347540443/33035881342*c_1001_1^8 + 2932279049871/33035881342*c_1001_1^7 + 9740430601863/33035881342*c_1001_1^6 + 17483294881419/33035881342*c_1001_1^5 + 21809323323107/33035881342*c_1001_1^4 + 10119463239584/16517940671*c_1001_1^3 + 5861283850006/16517940671*c_1001_1^2 + 1384179373952/16517940671*c_1001_1 + 121050171803/16517940671, c_0101_1 - 1, c_0101_2 - 68427186966/16517940671*c_1001_1^8 - 575510606820/16517940671*c_1001_1^7 - 1874924468973/16517940671*c_1001_1^6 - 3275072489850/16517940671*c_1001_1^5 - 3984079144901/16517940671*c_1001_1^4 - 3598513120657/16517940671*c_1001_1^3 - 1947695713329/16517940671*c_1001_1^2 - 356376002260/16517940671*c_1001_1 - 24253738838/16517940671, c_0101_6 - 84788073297/33035881342*c_1001_1^8 - 350657670456/16517940671*c_1001_1^7 - 2230261031955/33035881342*c_1001_1^6 - 1891628402632/16517940671*c_1001_1^5 - 2255436270724/16517940671*c_1001_1^4 - 3985113576187/33035881342*c_1001_1^3 - 1023471205052/16517940671*c_1001_1^2 - 304418105067/33035881342*c_1001_1 - 11500126229/16517940671, c_0101_9 - 52066300635/33035881342*c_1001_1^8 - 224852936364/16517940671*c_1001_1^7 - 1519587905991/33035881342*c_1001_1^6 - 1383444087218/16517940671*c_1001_1^5 - 1728642874177/16517940671*c_1001_1^4 - 3211912665127/33035881342*c_1001_1^3 - 924224508277/16517940671*c_1001_1^2 - 408333899453/33035881342*c_1001_1 + 3764328062/16517940671, c_1001_1^9 + 26/3*c_1001_1^8 + 799/27*c_1001_1^7 + 1490/27*c_1001_1^6 + 1927/27*c_1001_1^5 + 1858/27*c_1001_1^4 + 1171/27*c_1001_1^3 + 362/27*c_1001_1^2 + 17/9*c_1001_1 + 2/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB