MCMC best fit and constraints compared to the NIKA tSZ and XMM-Newton X-ray data used to obtain them. Left: projected tSZ flux density profile from the point source subtracted NIKA data (black dots) and for the best-fit M3 model (red solid line). Uncertainties at 68% confidence limits are indicated with red dashed lines. In practice, the tSZ map is compared to the models and not the profile. Right: deprojected electronic density profile obtained from XMM-Newton (purple dots) and Chandra (CXO for Chandra X-ray Observatory, blue diamonds). The MCMC best-fit model is indicated with a black line, and its uncertainties at 68% confidence limits are shown with black dashed lines. The characteristic radius measured from XMM-Newton data, R500 = 986 ± 10 kpc, is represented as a vertical dashed line. The residual between XMM-Newton data and the best-fit model normalized by XMM-Newton error bars is also represented on the bottom. The data are well described by the SVM model, except at radii smaller than 30 kpc. See text for details.
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