Large-q expansion of the two-dimensional q-state Potts model by the finite lattice method

We have calculated the large-q expansion for the energy and magnetization cumulants at the first order phase transition point in the two-dimensional q-state Potts model to the 21st or 23rd order in 1/√ using the finite lattice method. The obtained series allow us to give highly convergent estimates of the cumulants for q > 4. The results confirm us the correctness of the conjecture by Bhattacharya et al. on the asymptotic behavior of the energy cumulants for q → 4+ and a similar new conjecture on the magnetization cumulants