  An explicit hybrid estimate for $L(1/2+it,\chi)$ is derived, where $\chi$ is
a Dirichlet character modulo $q$. The estimate applies when $t$ is bounded away
from zero, and is most effective when $q$ is powerfull, yielding an explicit
Weyl bound in this case. The estimate takes a particularly simple form if $q$
is a sixth power. Several hybrid lemmas of van der Corput--Weyl type are
presented.
