Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1865347918] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s338 geometric_solution 4.53630410 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 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 2.161085214983 1.173091418459 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 -1 1 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 1 -1 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 -0.618098953528 0.156943966537 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -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 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 0 0 0 0 0.461413588891 0.574903134607 4 2 5 4 2103 0132 0132 2031 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 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 0.641211084794 0.787174125981 5 3 3 2 2310 1302 2103 0132 0 0 0 0 0 1 0 -1 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 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 0.641211084794 0.787174125981 5 5 4 3 1230 3012 3201 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 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 0.476562548655 0.484189295682 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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_0011_4']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1279/5*c_0101_1^14 + 224/5*c_0101_1^13 - 1407*c_0101_1^12 - 9129/5*c_0101_1^11 + 1842*c_0101_1^10 + 51619/5*c_0101_1^9 - 38594/5*c_0101_1^8 - 109782/5*c_0101_1^7 + 28232/5*c_0101_1^6 + 18329*c_0101_1^5 + 7737/5*c_0101_1^4 - 33796/5*c_0101_1^3 - 10156/5*c_0101_1^2 + 4508/5*c_0101_1 + 1949/5, c_0011_0 - 1, c_0011_2 - c_0101_1^14 + c_0101_1^13 + 6*c_0101_1^12 - 17*c_0101_1^10 - 30*c_0101_1^9 + 83*c_0101_1^8 + 55*c_0101_1^7 - 158*c_0101_1^6 - 36*c_0101_1^5 + 134*c_0101_1^4 + 10*c_0101_1^3 - 57*c_0101_1^2 - c_0101_1 + 10, c_0011_4 + 9*c_0101_1^14 - c_0101_1^13 - 53*c_0101_1^12 - 48*c_0101_1^11 + 99*c_0101_1^10 + 352*c_0101_1^9 - 408*c_0101_1^8 - 790*c_0101_1^7 + 604*c_0101_1^6 + 715*c_0101_1^5 - 369*c_0101_1^4 - 289*c_0101_1^3 + 100*c_0101_1^2 + 43*c_0101_1 - 10, c_0011_5 + 88*c_0101_1^14 + c_0101_1^13 - 494*c_0101_1^12 - 534*c_0101_1^11 + 771*c_0101_1^10 + 3415*c_0101_1^9 - 3354*c_0101_1^8 - 7262*c_0101_1^7 + 3958*c_0101_1^6 + 5802*c_0101_1^5 - 1587*c_0101_1^4 - 1943*c_0101_1^3 + 175*c_0101_1^2 + 232*c_0101_1 + 10, c_0101_0 - c_0101_1^14 + 6*c_0101_1^12 + 6*c_0101_1^11 - 11*c_0101_1^10 - 41*c_0101_1^9 + 42*c_0101_1^8 + 97*c_0101_1^7 - 61*c_0101_1^6 - 97*c_0101_1^5 + 37*c_0101_1^4 + 47*c_0101_1^3 - 10*c_0101_1^2 - 10*c_0101_1 + 1, c_0101_1^15 - 6*c_0101_1^13 - 6*c_0101_1^12 + 11*c_0101_1^11 + 41*c_0101_1^10 - 42*c_0101_1^9 - 97*c_0101_1^8 + 61*c_0101_1^7 + 97*c_0101_1^6 - 37*c_0101_1^5 - 47*c_0101_1^4 + 10*c_0101_1^3 + 11*c_0101_1^2 - c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB