  We investigate the large $N$ behavior of the complex solutions for the two
magnon system in the S=1/2 Heisenberg XXZ model. The Bethe ansatz equations are
numerically solved for the string solutions with new iteration method. A clear
evidence of the violation of the string configurations is found at
$N=22,62,121,200,299,417$, but the broken states are still Bethe states. The
number of the Bethe states is consistent with the exact diagonalization, except
one singular state.
