  We analyze the effect of exchanging quasiholes described by Gaffnian quantum
Hall trial state wave functions. This exchange is carried out via adiabatic
transport using the recently developed coherent state Ansatz. We argue that our
Ansatz is justified if the Gaffnian parent Hamiltonian has a charge gap, even
though it is gapless to neutral excitations, and may therefore properly
describe the adiabatic transport of Gaffnian quasiholes. For nonunitary states
such as the Gaffnian, the result of adiabatic transport cannot agree with the
monodromies of the conformal block wave functions, and may or may not lead to
well-defined anyon statistics. Using the coherent state Ansatz, we find two
unitary solutions for the statistics, one of which agrees with the statistics
of the non-Abelian spin-singlet state by Ardonne and Schoutens.
