Because multiple naming conventions are available here (including the
classical system and the
DT system),
the rank of the names is also given. For instance, the knot 9_{9} is the 45th knot on the table using the
classical naming system. It is knot -9a_{33} in DT notation, which is the 69th knot in the DT table of knots
(ignoring the sign). Our basic naming convention is to use the classical names through 10 crossing knots and the DT names
for 11 crossing knots.

By downloading these ranks, the user can sort the table using any of the conventions.