  The aim of this work is to study the spectral statistics of the asymmetric
rotor model (triaxial rigid rotator). The asymmetric top is classically
integrable and, according to the Berry-Tabor theory, its spectral statistics
should be Poissonian. Surprisingly, our numerical results show that the nearest
neighbor spacing distribution $P(s)$ and the spectral rigidity $\Delta_3(L)$ do
not follow Poisson statistics. In particular, $P(s)$ shows a sharp peak at
$s=1$ while $\Delta_3(L)$ for small values of $L$ follows the Poissonian
predictions and asymptotically it shows large fluctuations around its mean
value. Finally, we analyze the information entropy, which shows a dissolution
of quantum numbers by breaking the axial symmetry of the rigid rotator.
