Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 2513701265] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s470 geometric_solution 4.83866766 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 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 1.025763877904 1.582195030156 3 4 2 0 0132 0132 1230 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 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469718442122 0.839167820908 4 3 0 1 3201 3201 0132 3012 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 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 0.469718442122 0.839167820908 1 5 2 5 0132 0132 2310 2310 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756424599483 0.348900870980 4 1 4 2 2310 0132 3201 2310 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 0.025763877904 1.582195030156 3 3 5 5 3201 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611235309496 0.116798562981 ==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' : negation(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' : negation(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' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), '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' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), '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_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), '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_0101_0, c_0101_1, c_0110_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 309281411/125779972*c_0110_5^12 + 5162342235/125779972*c_0110_5^10 - 57138231449/251559944*c_0110_5^8 + 52223946603/125779972*c_0110_5^6 - 87027101769/503119888*c_0110_5^4 + 51625400413/503119888*c_0110_5^2 - 11858308603/1006239776, c_0011_0 - 1, c_0011_1 - 15048364/31444993*c_0110_5^13 + 252953236/31444993*c_0110_5^11 - 1419527010/31444993*c_0110_5^9 + 2702914078/31444993*c_0110_5^7 - 1352585437/31444993*c_0110_5^5 + 774277628/31444993*c_0110_5^3 - 418442555/62889986*c_0110_5, c_0101_0 + 10781328/31444993*c_0110_5^13 - 181651200/31444993*c_0110_5^11 + 1023667740/31444993*c_0110_5^9 - 1968064730/31444993*c_0110_5^7 + 992398842/31444993*c_0110_5^5 - 463368321/31444993*c_0110_5^3 + 87921286/31444993*c_0110_5, c_0101_1 + 12489216/31444993*c_0110_5^13 - 212440592/31444993*c_0110_5^11 + 1219272098/31444993*c_0110_5^9 - 2464412548/31444993*c_0110_5^7 + 1494174270/31444993*c_0110_5^5 - 730448654/31444993*c_0110_5^3 + 423161207/62889986*c_0110_5, c_0110_2 - 3140500/31444993*c_0110_5^12 + 53225490/31444993*c_0110_5^10 - 303098612/31444993*c_0110_5^8 + 597056850/31444993*c_0110_5^6 - 317530655/31444993*c_0110_5^4 + 266518025/62889986*c_0110_5^2 - 31045797/31444993, c_0110_5^14 - 17*c_0110_5^12 + 195/2*c_0110_5^10 - 197*c_0110_5^8 + 483/4*c_0110_5^6 - 247/4*c_0110_5^4 + 153/8*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB