  The finite lattice method of series expansion has been used to extend
low-temperature series for the partition function, order parameter and
susceptibility of the $q$-state Potts model to order $z^{56}$ (i.e. $u^{28}$),
$z^{47}$, $z^{43}$, $z^{39}$, $z^{39}$, $z^{39}$, $z^{35}$, $z^{31}$ and
$z^{31}$ for $q = 2$, 3, 4, \dots 9 and 10 respectively. These series are used
to test techniques designed to distinguish first-order transitions from
continuous transitions. New numerical values are also obtained for the
$q$-state Potts model with $q>4$.
