Inertial modes in a uniform density sphere, as computed with the method given in Sect. 2. Each of these modes have a small spatial matching with the dipolar gravito-inertial mode of the same spin parameter. The dotted line specifies the critical latitude θ_c = arccos(ω/(2Ω)). The top panels show the zonal modes with low coupling coefficients presented in Table 1, whereas the middle and the bottom panels show the tree modes with the highest coupling coefficients for the prograde (m = −1), and the retrograde (m = 1) modes.