A quasipositive braid is one that can be written as a product of conjugates of the canonical generators of the braid group, represented by a single right handed twist between two adjacent strands.
Linkinfo provides quasipositive descriptions for links which have such descriptions and notes those for which such a description does not exist. In the case that the mirror image of a link has a quasipositive description, the braid given in the table is preceded by a letter "M."
All the results presented in the table were computed by Stepan Orevkov.