For
Level 72, these are no longer monster functions. But I'm including them since this seems to be the highest level such that the requirement of the triple relation works, namely that
(a,a+m,a+n) are
all eta quotients. For convenience, first define the new eta quotient,
fp=η(pτ)η(2pτ). Then,
(f24f26f236f2f412f18)+1=(f23f4f36f1f9f212)f26(f24f26f236f2f412f18)−1=(f1f4f26f9f36f2f23f212f18)f26 Or more simply a+1=ba−1=c From the above, we find (a,b,c). Define,abc=(f23f4f36f1f9f212)2bca=(f6)4acb=(f1f4f26f9f36f2f23f212f18)2 Then we have the analogous relation,
(4abc+bca)+2a=abc+bca+acb
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