Corner plots of the main model parameters for the NFW joint analysis of A1689 for the polytropic non-thermal pressure model with elongation (Eq. (25)). The displayed model parameters are the non-thermal pressure ratio at a radius of 0.5r₂₀₀ (α_NT(0.5r₂₀₀)), the LOS elongation e, the concentration c₂₀₀, and the overdensity radius r₂₀₀ (in Mpc). Panel (a) shows the corner plot for the joint X-ray and WL analysis (model 3-e), whereas panel (b) shows the posteriors for the full joint X-ray, SZ, and WL joint analysis (model 4-b).