Magma V2.19-8 Tue Aug 20 2013 16:09:03 on localhost [Seed = 3153732865] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m351 geometric_solution 4.67514078 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 4 0132 0132 0132 0132 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 -1 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 0.558486902912 0.931043168748 0 2 1 1 0132 1302 1230 3012 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 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 0.697313737265 1.167988708898 3 0 4 1 1302 0132 2031 2031 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 0 1 -1 0 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 0.526203711234 0.789857014970 3 2 3 0 2031 2031 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508285388671 1.358066834047 4 4 0 2 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489511143747 0.316165012536 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0110_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1171/541*c_0110_4^10 - 2380/541*c_0110_4^9 - 9093/541*c_0110_4^8 + 23077/541*c_0110_4^7 + 2314/541*c_0110_4^6 - 35453/541*c_0110_4^5 + 29843/541*c_0110_4^4 - 825/541*c_0110_4^3 - 22856/541*c_0110_4^2 + 4255/541*c_0110_4 - 8171/541, c_0011_0 - 1, c_0011_3 - 536/541*c_0110_4^10 - 79/541*c_0110_4^9 + 4346/541*c_0110_4^8 - 1135/541*c_0110_4^7 - 6362/541*c_0110_4^6 + 3862/541*c_0110_4^5 - 1691/541*c_0110_4^4 - 6666/541*c_0110_4^3 - 2208/541*c_0110_4^2 - 2083/541*c_0110_4 - 301/541, c_0011_4 - 538/541*c_0110_4^10 + 169/541*c_0110_4^9 + 4447/541*c_0110_4^8 - 2845/541*c_0110_4^7 - 5873/541*c_0110_4^6 + 5455/541*c_0110_4^5 - 3395/541*c_0110_4^4 - 5839/541*c_0110_4^3 - 892/541*c_0110_4^2 - 1899/541*c_0110_4 + 144/541, c_0101_0 + 445/541*c_0110_4^10 + 2/541*c_0110_4^9 - 3808/541*c_0110_4^8 + 1234/541*c_0110_4^7 + 6160/541*c_0110_4^6 - 3604/541*c_0110_4^5 + 1522/541*c_0110_4^4 + 6154/541*c_0110_4^3 + 953/541*c_0110_4^2 + 1799/541*c_0110_4 + 261/541, c_0110_4^11 - 8*c_0110_4^9 + 3*c_0110_4^8 + 10*c_0110_4^7 - 7*c_0110_4^6 + 7*c_0110_4^5 + 10*c_0110_4^4 + 4*c_0110_4^3 + 7*c_0110_4^2 + c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB