Extracted rotational splittings for l = 1 modes of KIC7581399 (open black circles indicate modes that passed both frequentist and Bayesian significance tests and open gray circles modes that passed the frequentist test only). The colored circles indicate theoretical splittings for linear rotation profiles that reproduce the rotation of KIC7581399 in the g-mode cavity as obtained from the OLA method, and with ratios Ω_core/ Ω_surf of 1 (purple), 2 (blue), 10 (red), or 100 (green) from top to bottom.