Simulated period spacing patterns for different rotation profiles (top, middle, bottom) based on the observations for KIC 12066947 (black dots). The input parameters for the simulations (with non-rigid rotation) are shown in black on the right, while the of the best model with rigid rotation (full red line) is also given. Both the prograde dipole modes (with (k, m) = (0,1); left) and the r-modes (with (k, m) = (−2,−1); right) are shown.