Magma V2.19-8 Tue Aug 20 2013 17:54:06 on localhost [Seed = 1259011115] Type ? for help. Type -D to quit. Loading file "9_4__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_4 geometric_solution 5.55651882 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.246155610739 0.667110301721 0 4 2 5 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -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 0.670126731546 0.874568750602 3 0 1 0 3012 0132 1023 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.138287959225 0.995536189222 5 5 0 2 3201 2031 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 -7 8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377564638700 1.001009375165 5 1 4 4 1302 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.437984867415 0.540015804583 3 4 1 3 1302 2031 0132 2310 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 1 -1 0 -8 0 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447973914575 0.720438002401 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_1, c_0110_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1291746312000/10413451829*c_0110_4^9 + 5213355532392/10413451829*c_0110_4^8 - 6011712014646/10413451829*c_0110_4^7 - 1911647101740/10413451829*c_0110_4^6 - 63939041806/946677439*c_0110_4^5 + 6415302677232/10413451829*c_0110_4^4 - 8444403962494/10413451829*c_0110_4^3 - 5730039061125/10413451829*c_0110_4^2 - 3496862762895/10413451829*c_0110_4 - 896332539810/10413451829, c_0011_0 - 1, c_0011_3 + 6527789568/946677439*c_0110_4^9 - 26911253904/946677439*c_0110_4^8 + 32646078334/946677439*c_0110_4^7 + 7045500587/946677439*c_0110_4^6 + 2907200643/946677439*c_0110_4^5 - 33251741128/946677439*c_0110_4^4 + 46057489956/946677439*c_0110_4^3 + 24620191873/946677439*c_0110_4^2 + 15466685866/946677439*c_0110_4 + 2956972984/946677439, c_0011_5 - 158295720/946677439*c_0110_4^9 + 546594227/946677439*c_0110_4^8 - 386428603/946677439*c_0110_4^7 - 536659185/946677439*c_0110_4^6 - 422520601/946677439*c_0110_4^5 + 644412023/946677439*c_0110_4^4 - 328738219/946677439*c_0110_4^3 - 586553318/946677439*c_0110_4^2 - 1454871268/946677439*c_0110_4 + 193073439/946677439, c_0101_1 + 9616830472/946677439*c_0110_4^9 - 40143241311/946677439*c_0110_4^8 + 50427470248/946677439*c_0110_4^7 + 6871724540/946677439*c_0110_4^6 + 4463682190/946677439*c_0110_4^5 - 47635490930/946677439*c_0110_4^4 + 69292718838/946677439*c_0110_4^3 + 32545371284/946677439*c_0110_4^2 + 22383663072/946677439*c_0110_4 + 4727334096/946677439, c_0110_2 - 4484244488/946677439*c_0110_4^9 + 17693038831/946677439*c_0110_4^8 - 19030166406/946677439*c_0110_4^7 - 9316692892/946677439*c_0110_4^6 - 2289864996/946677439*c_0110_4^5 + 22705733081/946677439*c_0110_4^4 - 27073229852/946677439*c_0110_4^3 - 24005868246/946677439*c_0110_4^2 - 13014541072/946677439*c_0110_4 - 3081709952/946677439, c_0110_4^10 - 31/8*c_0110_4^9 + 4*c_0110_4^8 + 9/4*c_0110_4^7 + 3/4*c_0110_4^6 - 39/8*c_0110_4^5 + 23/4*c_0110_4^4 + 11/2*c_0110_4^3 + 27/8*c_0110_4^2 + 9/8*c_0110_4 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB