  The quasinormal modes (QNMs) associated with the decay of Dirac field
perturbation around a Schwarzschild black hole is investigated by using
continued fraction and Hill-determinant approaches. It is shown that the
fundamental quasinormal frequencies become evenly spaced for large angular
quantum number and the spacing is given by $\omega_{\lambda+1}-
\omega_{\lambda}=0.38490-0.00000i$. The angular quantum number has the
surprising effect of increasing real part of the quasinormal frequencies, but
it almost does not affect imaginary part, especially for low overtones. In
addition, the quasinormal frequencies also become evenly spaced for large
overtone number and the spacing for imaginary part is
$Im(\omega_{n+1})-Im(\omega_n)\approx -i/4M$ which is same as that of the
scalar, electromagnetic, and gravitational perturbations.
