Universal transcendentality limit of BFKL eigenvalue

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 $n$.