Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 3785391411] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1296 geometric_solution 5.18753803 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 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 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 1.049888378148 1.093714759745 0 3 2 4 0132 0132 0132 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.021789554815 0.868369359939 3 0 4 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.021789554815 0.868369359939 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 -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 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 0.388068541629 0.850632749269 2 5 1 5 2310 0132 0132 2310 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 0 0 0 0 0.599251383783 1.947230761512 4 4 6 6 3201 0132 3201 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 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 0.272714889002 0.166049568247 5 6 5 6 2310 2310 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 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 -1.703972950902 0.477942249162 ==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_2_6' : 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_0_6' : 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_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 13709479/61553*c_0101_6^17 + 3637406/61553*c_0101_6^16 - 166498893/61553*c_0101_6^15 + 27070021/61553*c_0101_6^14 + 534163717/61553*c_0101_6^13 - 328994423/61553*c_0101_6^12 - 472962229/61553*c_0101_6^11 + 571903191/61553*c_0101_6^10 + 127087132/61553*c_0101_6^9 - 348573257/61553*c_0101_6^8 - 53653709/61553*c_0101_6^7 + 47785663/61553*c_0101_6^6 + 118065134/61553*c_0101_6^5 - 36960639/61553*c_0101_6^4 - 104913827/61553*c_0101_6^3 + 40387641/61553*c_0101_6^2 + 21818454/61553*c_0101_6 - 17552940/61553, c_0011_0 - 1, c_0011_4 - 871463/184659*c_0101_6^17 - 612205/184659*c_0101_6^16 + 10057802/184659*c_0101_6^15 + 2985769/184659*c_0101_6^14 - 9823917/61553*c_0101_6^13 + 3115703/184659*c_0101_6^12 + 22798697/184659*c_0101_6^11 - 2674196/61553*c_0101_6^10 - 4225845/61553*c_0101_6^9 + 1381376/184659*c_0101_6^8 + 12182741/184659*c_0101_6^7 + 2205659/61553*c_0101_6^6 - 2022838/61553*c_0101_6^5 - 2715392/184659*c_0101_6^4 + 827785/61553*c_0101_6^3 + 500417/61553*c_0101_6^2 - 133460/184659*c_0101_6 - 425378/184659, c_0011_6 + 125114/184659*c_0101_6^17 + 398689/184659*c_0101_6^16 - 1130588/184659*c_0101_6^15 - 4114804/184659*c_0101_6^14 + 688276/61553*c_0101_6^13 + 11704078/184659*c_0101_6^12 - 1910744/184659*c_0101_6^11 - 4330711/61553*c_0101_6^10 + 2213323/61553*c_0101_6^9 + 8147464/184659*c_0101_6^8 - 5179652/184659*c_0101_6^7 - 1944195/61553*c_0101_6^6 - 352908/61553*c_0101_6^5 + 2979095/184659*c_0101_6^4 + 368316/61553*c_0101_6^3 - 680545/61553*c_0101_6^2 - 489880/184659*c_0101_6 + 472895/184659, c_0101_0 - 778844/184659*c_0101_6^17 - 573163/184659*c_0101_6^16 + 9336962/184659*c_0101_6^15 + 2742898/184659*c_0101_6^14 - 10238629/61553*c_0101_6^13 + 6301082/184659*c_0101_6^12 + 33273536/184659*c_0101_6^11 - 8174667/61553*c_0101_6^10 - 5076020/61553*c_0101_6^9 + 16359467/184659*c_0101_6^8 + 6772598/184659*c_0101_6^7 + 327325/61553*c_0101_6^6 - 2081504/61553*c_0101_6^5 - 405776/184659*c_0101_6^4 + 2089569/61553*c_0101_6^3 - 290186/61553*c_0101_6^2 - 1124072/184659*c_0101_6 + 774343/184659, c_0101_1 + 472895/184659*c_0101_6^17 + 598009/184659*c_0101_6^16 - 5276051/184659*c_0101_6^15 - 4440853/184659*c_0101_6^14 + 5091297/61553*c_0101_6^13 + 4429303/184659*c_0101_6^12 - 13832252/184659*c_0101_6^11 + 1885192/61553*c_0101_6^10 + 2289819/61553*c_0101_6^9 - 2345036/184659*c_0101_6^8 - 3202016/184659*c_0101_6^7 - 1568919/61553*c_0101_6^6 - 52615/61553*c_0101_6^5 + 832856/184659*c_0101_6^4 - 583285/61553*c_0101_6^3 - 104579/61553*c_0101_6^2 - 150055/184659*c_0101_6 - 489880/184659, c_0101_2 - 602081/184659*c_0101_6^17 - 474571/184659*c_0101_6^16 + 7255670/184659*c_0101_6^15 + 2412259/184659*c_0101_6^14 - 8140059/61553*c_0101_6^13 + 4951712/184659*c_0101_6^12 + 28367126/184659*c_0101_6^11 - 7571206/61553*c_0101_6^10 - 4386565/61553*c_0101_6^9 + 17220161/184659*c_0101_6^8 + 3570989/184659*c_0101_6^7 - 208237/61553*c_0101_6^6 - 1447124/61553*c_0101_6^5 + 75202/184659*c_0101_6^4 + 1985117/61553*c_0101_6^3 - 447989/61553*c_0101_6^2 - 1437917/184659*c_0101_6 + 1026967/184659, c_0101_6^18 + c_0101_6^17 - 12*c_0101_6^16 - 7*c_0101_6^15 + 41*c_0101_6^14 + 5*c_0101_6^13 - 54*c_0101_6^12 + 16*c_0101_6^11 + 42*c_0101_6^10 - 19*c_0101_6^9 - 24*c_0101_6^8 + c_0101_6^7 + 12*c_0101_6^6 + 4*c_0101_6^5 - 10*c_0101_6^4 - 3*c_0101_6^3 + 4*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB