  We present an atlas of Legendrian knots in standard contact three-space. This
gives a conjectural Legendrian classification for all knots with arc index at
most 9, including alternating knots through 7 crossings and nonalternating
knots through 9 crossings. Our method involves a computer search of grid
diagrams and applies to transverse knots as well. The atlas incorporates a
number of new, small examples of phenomena such as transverse nonsimplicity and
non-maximal non-destabilizable Legendrian knots, and gives rise to new infinite
families of transversely nonsimple knots.
