  We consider a special limit of the BFKL eigenvalue at $\nu \to 0$ and odd
values of the conformal spin $n$. We show that in this limit the NLO BFKL
eigenvalue can be expressed in terms of a limited set of transcendental
constants with rational coefficients. We show that the leading
transcendentality term in this limit is universal and does not depend on a
specific value of $n$.
