Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 1478083710] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s126 geometric_solution 4.12499513 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 0 -1 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 2.309248679961 0.373346429294 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 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 -1 0 1 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 -0.446908222820 0.760164574104 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 0 -1 -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 1 -1 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 -0.187246954776 0.516902388159 4 5 4 2 1230 0132 2031 0132 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 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 0.822386535189 0.869358702260 5 3 2 3 2310 3012 0132 1302 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 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 0.822386535189 0.869358702260 5 3 4 5 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1.425749498918 0.607049907837 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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_0'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 637550640/1226873*c_0101_5^11 + 1867581936/1226873*c_0101_5^10 + 1792371713/1226873*c_0101_5^9 + 1499259502/1226873*c_0101_5^8 + 158858739/1226873*c_0101_5^7 + 587552109/1226873*c_0101_5^6 + 6027748206/1226873*c_0101_5^5 + 455142441/1226873*c_0101_5^4 - 5560625857/1226873*c_0101_5^3 + 350081257/1226873*c_0101_5^2 + 2426795443/1226873*c_0101_5 + 497551299/1226873, c_0011_0 - 1, c_0011_3 + 32632156/1226873*c_0101_5^11 + 96523051/1226873*c_0101_5^10 + 94511677/1226873*c_0101_5^9 + 79114248/1226873*c_0101_5^8 + 9902120/1226873*c_0101_5^7 + 30366660/1226873*c_0101_5^6 + 309308592/1226873*c_0101_5^5 + 33293533/1226873*c_0101_5^4 - 284439787/1226873*c_0101_5^3 + 7917460/1226873*c_0101_5^2 + 127275446/1226873*c_0101_5 + 29584688/1226873, c_0101_0 + 3113912/1226873*c_0101_5^11 + 7372522/1226873*c_0101_5^10 + 4401023/1226873*c_0101_5^9 + 3961096/1226873*c_0101_5^8 - 2511855/1226873*c_0101_5^7 + 3348848/1226873*c_0101_5^6 + 27043898/1226873*c_0101_5^5 - 12932647/1226873*c_0101_5^4 - 22606236/1226873*c_0101_5^3 + 13610684/1226873*c_0101_5^2 + 7080474/1226873*c_0101_5 - 728588/1226873, c_0101_1 + 26111572/1226873*c_0101_5^11 + 79150333/1226873*c_0101_5^10 + 80126698/1226873*c_0101_5^9 + 66355682/1226873*c_0101_5^8 + 11352833/1226873*c_0101_5^7 + 23243365/1226873*c_0101_5^6 + 250110866/1226873*c_0101_5^5 + 42252289/1226873*c_0101_5^4 - 235685053/1226873*c_0101_5^3 - 3714498/1226873*c_0101_5^2 + 107577107/1226873*c_0101_5 + 25978728/1226873, c_0101_3 - 1309620/1226873*c_0101_5^11 - 3870285/1226873*c_0101_5^10 - 3312408/1226873*c_0101_5^9 - 2534398/1226873*c_0101_5^8 - 63361/1226873*c_0101_5^7 - 475410/1226873*c_0101_5^6 - 13015228/1226873*c_0101_5^5 + 557000/1226873*c_0101_5^4 + 13729828/1226873*c_0101_5^3 - 2515581/1226873*c_0101_5^2 - 5161461/1226873*c_0101_5 - 783418/1226873, c_0101_5^12 + 13/4*c_0101_5^11 + 15/4*c_0101_5^10 + 13/4*c_0101_5^9 + c_0101_5^8 + c_0101_5^7 + 39/4*c_0101_5^6 + 15/4*c_0101_5^5 - 17/2*c_0101_5^4 - 9/4*c_0101_5^3 + 4*c_0101_5^2 + 2*c_0101_5 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB