A positive integer m is said to be palindromic in base \ell if, when written in base \ell, its digits are the same front-to-back and back-to-front. For j, k \in \mathbb{N}, let \mu(j, k) be the smallest base-10 integer that is palindromic in base j as well as in base k, and let \nu(j, k):=(j+k). \mu(j, k). Find the value of \nu(5,9).