References for Thurston-Bennequin Number

9_42: For prime knots of 9 or fewer crossings, 9_42 was the only unknown value, and it was unknown for only one of the two orientations. It has now been resolved by Lenhard Ng in: A Legendrian Thurston-Bennequin bound from Khovanov homology. Algebr. Geom. Topol. 5 (2005) 1637-1653.

Lenard Ng in his paper "On arc index and maximal Thurston-Benniquin Number," arxiv.org/math/0612356, resolved the final cases for knots of 11 crossings and less.