We discuss the construction of logarithmic representation of Virasoro algebra at generic central charge by using derivative of fields with respect to their conformal dimensions. The resulting representations come with a free parameter $kappa$ which can be fixed based on the existence of degenerate fields. As an application, we describe the logarithmic structure in the critical $Q$-state Potts model at generic central charge. We validate our description by numerically bootstrapping the four-point connectivities in the Potts model. Our results hold for generic values of $Q$ on the complex plane.

IPhT