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The dataset contains the renormalization group flow equations used to acquire the results discussed in the linked article. Each of the 12 datafiles contains a complete set of equations valid in a specific approximation scheme.The presented flow equations describe the behaviour of the O(2) model with cubic (Z4-symmetric) perturbations. They are derived within the one-particle-irreducible variant of the nonperturbative renormalization group based on the Wetterich equation. We employ the derivative expansion at the leading and the next-to-leading orders and offer two alternative approaches to describe the effects of the cubic anisotropy.Read the readme file for the instructions on how to extract the equations. For the methodological details please refer to the linked article.