In the paper I wrote that the holomorphic differentials
of an hyperelliptic curve:

   s^2 - F(t) = 0   where F is a square-free polynomial

are of the form:

   t^0 * dt,  t^1 * dt, ...,  t^(g-1) * dt.

but I forgot to mention that you still have to divide them by
s = sqrt( F(t) ).
I'd like to thank F. Hess for pointing out this mistake to me.
This mistake does not affect the rest of the paper, because
we only use quotients of differentials, so the factor sqrt( F(t) )
will cancel anyway.