  It is known that the Lyapunov exponent for multifrequency analytic cocycles
is weak-H\"older continuous in cocycle for certain Diophantine frequencies, and
that this implies certain regularity of the integrated density of states in
energy for Jacobi operators. In this paper, we establish the pointwise modulus
of continuity in both cocycle and frequency and obtain analogous regularity of
the integrated density of states in energy, potential, and frequency.
