  We describe a 20-year survey carried out by the Lick-Carnegie Exoplanet
Survey Team (LCES), using precision radial velocities from HIRES on the Keck-I
telescope to find and characterize extrasolar planetary systems orbiting nearby
F, G, K, and M dwarf stars. We provide here 60,949 precision radial velocities
for 1,624 stars contained in that survey. We tabulate a list of 357 significant
periodic signals that are of constant period and phase, and not coincident in
period and/or phase with stellar activity indices. These signals are thus
strongly suggestive of barycentric reflex motion of the star induced by one or
more candidate exoplanets in Keplerian motion about the host star. Of these
signals, 225 have already been published as planet claims, 60 are classified as
significant unpublished planet candidates that await photometric follow-up to
rule out activity-related causes, and 54 are also unpublished, but are
classified as "significant" signals that require confirmation by additional
data before rising to classification as planet candidates. Of particular
interest is our detection of a candidate planet with a minimum mass of 3.9
Earth masses and an orbital period of 9.9 days orbiting Lalande 21185, the
fourth-closest main sequence star to the Sun. For each of our exoplanetary
candidate signals, we provide the period and semi-amplitude of the Keplerian
orbital fit, and a likelihood ratio estimate of its statistical significance.
We also tabulate 18 Keplerian-like signals that we classify as likely arising
from stellar activity.
