  Results are reported for the beta-function of weakly coupled conformal gauge
theories on the lattice, SU(3) with Nf=14 fundamental and Nf=3 sextet fermions.
The models are chosen to be close to the upper end of the conformal window
where perturbation theory is reliable hence a fixed point is expected. The
study serves as a test of how well lattice methods perform in the weakly
coupled conformal cases. We also comment on the 5-loop beta-function of two
models close to the lower end of the conformal window, SU(3) with Nf=12
fundamental and Nf=2 sextet fermions.
