Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 1124261735] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s291 geometric_solution 4.45571940 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498750973345 0.405426153377 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.293978806957 0.575943202106 1 3 3 4 0132 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148053916855 0.692514207889 4 2 2 1 3201 1230 3012 0132 0 0 0 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 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 1.148053916855 0.692514207889 5 5 2 3 0132 3201 0132 2310 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 -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 0.495365403890 0.703365819793 4 5 4 5 0132 2310 2310 3201 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.957001202790 0.496526345819 ==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' : d['1'], 's_2_2' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 31283656368360/704570466593*c_0101_3^11 + 145659914025092/704570466593*c_0101_3^10 + 269558849834856/704570466593*c_0101_3^9 - 98809099446210/100652923799*c_0101_3^8 - 3088594457983628/704570466593*c_0101_3^7 + 2139364675528695/704570466593*c_0101_3^6 - 8978733738236935/704570466593*c_0101_3^5 + 9578751618866338/704570466593*c_0101_3^4 + 7321394227175439/704570466593*c_0101_3^3 - 5744191246256649/704570466593*c_0101_3^2 - 1087519131749646/704570466593*c_0101_3 + 676114634437446/704570466593, c_0011_0 - 1, c_0011_1 + 477497977366/704570466593*c_0101_3^11 - 2217155138510/704570466593*c_0101_3^10 - 4136619717434/704570466593*c_0101_3^9 + 10474786726316/704570466593*c_0101_3^8 + 47222161402470/704570466593*c_0101_3^7 - 31896777884857/704570466593*c_0101_3^6 + 137272735737092/704570466593*c_0101_3^5 - 144934599865240/704570466593*c_0101_3^4 - 112061976342734/704570466593*c_0101_3^3 + 84388852470751/704570466593*c_0101_3^2 + 15558229308687/704570466593*c_0101_3 - 1298850425240/100652923799, c_0011_4 + 61971646987/704570466593*c_0101_3^11 - 269590206217/704570466593*c_0101_3^10 - 87133239228/100652923799*c_0101_3^9 + 1153259823774/704570466593*c_0101_3^8 + 6417616852968/704570466593*c_0101_3^7 - 2143142762730/704570466593*c_0101_3^6 + 17741144037661/704570466593*c_0101_3^5 - 13925977108670/704570466593*c_0101_3^4 - 16502401575489/704570466593*c_0101_3^3 + 4418691365787/704570466593*c_0101_3^2 + 355430114366/100652923799*c_0101_3 - 11542718727/100652923799, c_0101_0 + 69489827406/100652923799*c_0101_3^11 - 2264433746958/704570466593*c_0101_3^10 - 4183004762311/704570466593*c_0101_3^9 + 1529310526352/100652923799*c_0101_3^8 + 47934683770475/704570466593*c_0101_3^7 - 33021211180390/704570466593*c_0101_3^6 + 140647782013946/704570466593*c_0101_3^5 - 149221086812233/704570466593*c_0101_3^4 - 111055122179935/704570466593*c_0101_3^3 + 86357584414287/704570466593*c_0101_3^2 + 13911478097105/704570466593*c_0101_3 - 1365747611754/100652923799, c_0101_1 - 1104160842931/704570466593*c_0101_3^11 + 731326062429/100652923799*c_0101_3^10 + 9593973237439/704570466593*c_0101_3^9 - 24131806107655/704570466593*c_0101_3^8 - 109274784032006/704570466593*c_0101_3^7 + 72965059714613/704570466593*c_0101_3^6 - 317665136210846/704570466593*c_0101_3^5 + 47492573978593/100652923799*c_0101_3^4 + 258841805218387/704570466593*c_0101_3^3 - 193403600008023/704570466593*c_0101_3^2 - 35905638425586/704570466593*c_0101_3 + 3110512994872/100652923799, c_0101_3^12 - 5*c_0101_3^11 - 7*c_0101_3^10 + 25*c_0101_3^9 + 91*c_0101_3^8 - 102*c_0101_3^7 + 312*c_0101_3^6 - 406*c_0101_3^5 - 124*c_0101_3^4 + 259*c_0101_3^3 - 31*c_0101_3^2 - 31*c_0101_3 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB