  In a recent work of I. Dynnikov and M. Prasolov a new method of comparing
Legendrian knots with nontrivial symmetry group is proposed. Using this method
we confirm conjectures of Ng and Chongchitmate about Legendrian knots in
topological types $7_4$, $9_{48}$ and $10_{136}$. This completes the
classification of Legendrian types of rectangular diagrams of knots of
complexity up to 9.
