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In a recent work of I. Dynnikov and M. Prasolov a new method of comparingLegendrian knots with nontrivial symmetry group is proposed. Using this methodwe confirm conjectures of Ng and Chongchitmate about Legendrian knots intopological types $7_4$, $9_{48}$ and $10_{136}$. This completes theclassification of Legendrian types of rectangular diagrams of knots ofcomplexity up to 9.

Distinguishing Legendrian knots of topological type $7_4$, $9_{48}$ and $10_{136}$