  It is shown that, in the 1-jet space of the circle, the swapping and the
flyping procedures, which produce topologically equivalent links, can produce
nonequivalent legendrian links. Each component of the links considered is
legendrian isotopic to the 1-jet of the 0-function, and thus cannot be
distinguished by the classical rotation number or Thurston-Bennequin
invariants. The links are distinguished by calculating invariant polynomials
defined via homology groups associated to the links through the theory of
generating functions. The many calculations of these generating function
polynomials support the belief that these polynomials carry the same
information as a refined version of Chekanov's first order polynomials which
are defined via the theory of holomorphic curves.
