We computed the Lyapunov spectrum and finite-time Lyapunov Home Medical Equipment exponents of a data-driven model constructed using reservoir computing.This analysis was performed for two dynamics that exhibit a highly dimensionally unstable structure.We focused on the reconstruction of heterochaotic Jacket dynamics, which are characterized by the coexistence of different numbers of unstable dimensions.This was achieved by computing fluctuations in the number of positive finite-time Lyapunov exponents.