Stability analysis of the TOI-2537 planetary system. For fixed initial conditions, the phase space of the system is explored by varying the two unknown parameters of TOI-2537c’s orbit, namely the longitude of its ascending node and its inclination, with a step size of 1°. For each initial condition, the system is integrated over 10 kyr, and a stability criterion is derived with the frequency analysis of the mean longitude of the outer planet. The chaotic diffusion is measured by the variation in the frequencies. The color scale corresponds to values between −8 (blue) and −2 (red) for the decimal logarithm of the stability index D used in Correia et al. (2010). The red zone corresponds to highly unstable orbits, while the green-blue regions can be assumed to be stable on a billion-year timescale.