  Our recent discovery of magnetic fields in a small number of Herbig Ae/Be
stars has required that we survey a much larger sample of stars. From our FORS1
and ESPaDOnS surveys, we have acquired about 125 observations of some 70 stars
in which no magnetic fields are detected. Using a Monte Carlo approach, we have
performed statistical comparisons of the observed longitudinal fields and LSD
Stokes V profiles of these apparently non-magnetic stars with a variety of
field models. This has allowed us to derive general upper limits on the
presence of dipolar fields in the sample, and to place realistic upper limits
on undetected dipole fields which may be present in individual stars. This
paper briefly reports the results of the statistical modeling, as well as field
upper limits for individual stars of particular interest.
