For level
>119, there are no more
moonshine functions with uppercase index (in Atlas notation). Define
dk=η(kτ) with the
Dedekind eta function η(τ) then for
Level 126,
a=(d27d29d3d14d18d21),b=(d21d263d2d3d21d126)c=(d214d218d6d7d9d42),d=(d22d2126d1d6d42d63) The quadruple
(a,b,c,d) obey
a−2=bc−1=d and their ratios are
cubes (ab)2(cd)=(d7d9d1d63)3(ab)(cd)2=(d14d18d2d126)3
No comments:
Post a Comment