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Wednesday, November 6, 2019

Entry 65

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 a2=bc1=d and their ratios are cubes (ab)2(cd)=(d7d9d1d63)3(ab)(cd)2=(d14d18d2d126)3

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