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Fig. 16.

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Total El Gordo mass as a function of radius. The red curve shows values for the spectroscopic model, the green curve for the Full-r model, and the cyan curve for the Full-a model. The purple line shows the mass obtained derived from the RELICS data using the same algorithm but different constraints (Diego et al. 2020). The orange dot-dashed line shows the recent model of Caminha et al. (2022). The black dashed line shows values from a simulation (Molnar & Broadhurst 2015). All mass curves are based on a common center, and the masses are cylindrical, that is, they correspond to the mass within a cylinder of radius R projected along the line of sight. The light turquoise line shows the mass enclosed in a sphere with constant density equal to 200 times the critical density. While the spherical mass is not identical to the cylinder mass, for an NFW with concentration c = 7, the 3D mass computed up to the virial radius is only ≈4% smaller than the 2D mass. The vertical dotted line marks the maximum radius (70″) at which lensing constraints exist. The integrated masses will be biased low beyond this point.

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