The Fibonacci sequence modulo 5 is: $1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0, 1, 1, \ldots$ (ending when it returns to $(1,1)$). What is the Pisano period $\pi(5)$ (length of the cycle)?