Extended Data Fig. 6: Posterior probability distribution function for the parameters of our best-fit ϱDM lens model for HS 0810+2554.
From: Einstein rings modulated by wavelike dark matter from anomalies in gravitationally lensed images

Histograms showing distribution in parameter values for each of the six parameters describing the PL model derived from a MCMC analysis. Each parameter exhibits a distribution in values that can be closely described by a Gaussian having a mean and ± 1σ ranges as indicated by the dashed lines. Contour plots with contour levels plotted at the 1σ, 2σ, and 3σ indicate the correlation between pairs of model parameters. Some of these parameters, like those between the ellipticity and y-position of the lens centre, exhibit strong correlations and therefore degeneracies. The distributions in parameter values were used to estimate uncertainties in the predicted positions of the multiply lensed images in HS 0810+2554 as indicated by the crosses in Fig. 4.