Magma V2.19-8 Tue Aug 20 2013 16:09:03 on localhost [Seed = 3987501911] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m336 geometric_solution 4.56956563 oriented_manifold CS_known 0.0000000000000001 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 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812686547714 1.090689789458 0 2 1 1 0132 1302 1230 3012 0 0 0 0 0 -1 1 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752026174943 0.899977790270 3 0 4 1 0213 0132 2031 2031 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 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 0.560725085661 0.589541767589 2 3 3 0 0213 3201 2310 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 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 -0.247973825057 0.899977790270 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 -1 1 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456778933222 0.419606227442 ==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' : 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' : negation(d['1']), 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : 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_0']), 'c_0101_2' : 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_0011_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: 14 Groebner basis: [ t - 137879/26016*c_0110_4^13 + 26399/4336*c_0110_4^11 + 205403/13008*c_0110_4^9 - 326203/6504*c_0110_4^7 + 129535/26016*c_0110_4^5 + 6866491/26016*c_0110_4^3 - 1297487/6504*c_0110_4, c_0011_0 - 1, c_0011_3 - 2921/2168*c_0110_4^13 + 1691/1084*c_0110_4^11 + 4321/1084*c_0110_4^9 - 6965/542*c_0110_4^7 + 3249/2168*c_0110_4^5 + 145149/2168*c_0110_4^3 - 28123/542*c_0110_4, c_0011_4 - 1251/2168*c_0110_4^13 + 745/1084*c_0110_4^11 + 1871/1084*c_0110_4^9 - 2949/542*c_0110_4^7 + 1675/2168*c_0110_4^5 + 62271/2168*c_0110_4^3 - 12017/542*c_0110_4, c_0101_0 - 835/1084*c_0110_4^12 + 473/542*c_0110_4^10 + 1225/542*c_0110_4^8 - 2008/271*c_0110_4^6 + 787/1084*c_0110_4^4 + 41439/1084*c_0110_4^2 - 8053/271, c_0110_4^14 - 2*c_0110_4^12 - 2*c_0110_4^10 + 12*c_0110_4^8 - 9*c_0110_4^6 - 49*c_0110_4^4 + 80*c_0110_4^2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB