Top row: marginal posterior distributions for (a) magnetic field strength; (b) density contrast; and (c) transverse inhomogeneity length scale for the inversion of problem with forward model M₂, given by Eqs. (11) and (12), and a transverse oscillation with v_ph = 1030 ± 410 km s⁻¹ and a damping time τ_d = 500 ± 50 s. Bottom row: joint two-dimensional posterior distributions for (d) magnetic field strength and transverse density inhomogeneity length scale; (e) density contrast and transverse density inhomogeneity length scale; and (f) magnetic field strength and density contrast. The outer boundaries of the light grey and dark grey shaded regions indicate the 95% and 68% credible regions. The inferred median values are G and , with uncertainties given at the 68% credible interval. A fixed value for the loop length, L = 1.9 × 10¹⁰ cm, was considered in this computation.