Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 1730608040] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0376 geometric_solution 4.43317753 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 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 1 0 -1 1 0 -1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308986784792 0.380930160759 0 2 3 0 0132 1230 1230 3201 0 0 0 0 0 0 0 0 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 1 0 -1 -1 0 2 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109870526095 0.611830785030 4 4 1 0 0132 2310 3012 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 -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 -1.180472990239 2.256766145426 5 5 0 1 0132 3201 0132 3012 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 -2 1 1 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.258975311117 1.038543566043 2 6 6 2 0132 0132 3201 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 -0.035415279667 0.279624003379 3 5 3 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.264636569487 0.736677208305 4 4 6 6 2310 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.310272778953 3.670014845444 ==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' : d['c_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_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' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_2, c_0011_3, c_0101_1, c_0101_2, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 313780633693804/4426080303658447*c_1001_1^10 - 4710807372554/62339159206457*c_1001_1^9 - 1876090974349924/4426080303658447*c_1001_1^8 - 683586207348788/4426080303658447*c_1001_1^7 - 6995815907113710/4426080303658447*c_1001_1^6 + 7382871270860810/4426080303658447*c_1001_1^5 - 19649355704480933/4426080303658447*c_1001_1^4 + 6152765594639641/632297186236921*c_1001_1^3 - 798214335968174/152623458746843*c_1001_1^2 + 51806775179008620/4426080303658447*c_1001_1 + 33476078498002731/4426080303658447, c_0011_0 - 1, c_0011_2 + 1209107084/307089454219*c_1001_1^10 - 4221175961/307089454219*c_1001_1^9 - 1997895249/307089454219*c_1001_1^8 - 34073621275/307089454219*c_1001_1^7 + 9888138215/307089454219*c_1001_1^6 - 124487942586/307089454219*c_1001_1^5 + 211030296233/307089454219*c_1001_1^4 - 384538985504/307089454219*c_1001_1^3 + 774864326228/307089454219*c_1001_1^2 - 477909736009/307089454219*c_1001_1 + 360524055223/307089454219, c_0011_3 - 1379169660/307089454219*c_1001_1^10 + 1115458959/307089454219*c_1001_1^9 - 6270217197/307089454219*c_1001_1^8 + 6843751784/307089454219*c_1001_1^7 - 32726400826/307089454219*c_1001_1^6 + 75700790428/307089454219*c_1001_1^5 - 150608265908/307089454219*c_1001_1^4 + 317161177385/307089454219*c_1001_1^3 - 326633458115/307089454219*c_1001_1^2 + 213603173531/307089454219*c_1001_1 + 176831282411/307089454219, c_0101_1 - 1960676583/307089454219*c_1001_1^10 + 190442637/307089454219*c_1001_1^9 - 8031616563/307089454219*c_1001_1^8 + 7227442215/307089454219*c_1001_1^7 - 41195571703/307089454219*c_1001_1^6 + 83418171561/307089454219*c_1001_1^5 - 148516213117/307089454219*c_1001_1^4 + 368227783385/307089454219*c_1001_1^3 - 411090295833/307089454219*c_1001_1^2 + 438772376901/307089454219*c_1001_1 - 103897571002/307089454219, c_0101_2 - 1661291364/307089454219*c_1001_1^10 + 3294529039/307089454219*c_1001_1^9 - 6787277172/307089454219*c_1001_1^8 + 16029789440/307089454219*c_1001_1^7 - 48904871680/307089454219*c_1001_1^6 + 101001035601/307089454219*c_1001_1^5 - 300375188666/307089454219*c_1001_1^4 + 426642817797/307089454219*c_1001_1^3 - 764639458895/307089454219*c_1001_1^2 + 665898203442/307089454219*c_1001_1 - 65986976446/307089454219, c_0101_6 - 5667726700/307089454219*c_1001_1^10 - 327778290/307089454219*c_1001_1^9 - 21379057134/307089454219*c_1001_1^8 + 31123721913/307089454219*c_1001_1^7 - 92148247282/307089454219*c_1001_1^6 + 242424150366/307089454219*c_1001_1^5 - 480027843904/307089454219*c_1001_1^4 + 922731271067/307089454219*c_1001_1^3 - 1097192404285/307089454219*c_1001_1^2 + 975703261782/307089454219*c_1001_1 - 255466794194/307089454219, c_1001_1^11 + 5*c_1001_1^9 - 4*c_1001_1^8 + 21*c_1001_1^7 - 47*c_1001_1^6 + 91*c_1001_1^5 - 209*c_1001_1^4 + 229*c_1001_1^3 - 270*c_1001_1^2 + 83*c_1001_1 + 71 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB