Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 3701293267] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s518 geometric_solution 4.91638537 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211186053803 0.507805005237 0 1 0 1 0132 2310 2310 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 -1.121717656093 0.748354922926 4 3 5 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009449493709 1.137200204195 2 4 0 5 1230 2310 0132 3201 0 0 0 0 0 -1 1 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 1 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 0 0 0 0 1.009449493709 1.137200204195 2 4 4 3 0132 1230 3012 3201 0 0 0 0 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 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 0.878346848071 0.878398491124 5 3 5 2 2310 2310 3201 0132 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 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 -0.121653151929 0.878398491124 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_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' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3648111290889/36565593503*c_0101_2^12 - 11650418725689/36565593503*c_0101_2^10 + 80574035803557/36565593503*c_0101_2^8 + 146887875818742/36565593503*c_0101_2^6 + 64958215518011/36565593503*c_0101_2^4 - 37731690388357/36565593503*c_0101_2^2 + 2843854216865/36565593503, c_0011_0 - 1, c_0011_2 + 690469331/36565593503*c_0101_2^13 - 14073926823/36565593503*c_0101_2^11 + 53458751948/36565593503*c_0101_2^9 - 235644133950/36565593503*c_0101_2^7 - 457052724313/36565593503*c_0101_2^5 - 222650171329/36565593503*c_0101_2^3 + 122494335925/36565593503*c_0101_2, c_0011_5 - 113829590318/36565593503*c_0101_2^12 + 358779169912/36565593503*c_0101_2^10 - 2501312581786/36565593503*c_0101_2^8 - 4679441379150/36565593503*c_0101_2^6 - 2276095388609/36565593503*c_0101_2^4 + 1032578300671/36565593503*c_0101_2^2 - 44431780331/36565593503, c_0101_0 - 55136199841/36565593503*c_0101_2^12 + 177550858830/36565593503*c_0101_2^10 - 1220887364778/36565593503*c_0101_2^8 - 2192529587129/36565593503*c_0101_2^6 - 890598084569/36565593503*c_0101_2^4 + 658095925040/36565593503*c_0101_2^2 - 44154977002/36565593503, c_0101_1 + 18592196676/36565593503*c_0101_2^12 - 51287830924/36565593503*c_0101_2^10 + 385796266993/36565593503*c_0101_2^8 + 925147725213/36565593503*c_0101_2^6 + 676401267496/36565593503*c_0101_2^4 + 27443289903/36565593503*c_0101_2^2 - 34128413896/36565593503, c_0101_2^14 - 57/17*c_0101_2^12 + 384/17*c_0101_2^10 + 625/17*c_0101_2^8 + 191/17*c_0101_2^6 - 230/17*c_0101_2^4 + 38/17*c_0101_2^2 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB