  An algorithm for numerical computation of the barrier transparency for the
potentials surrounding Schwarzschild black holes is described for massless
spinor particles. It is then applied to calculate the all configurations
(including the contributions of twisted field configurations connected with
Dirac monopoles) luminosity for the Hawking radiation from a Schwarzschild
black hole. It is found that the contribution due to monopoles can be of order
22 % of the all configurations luminosity.
