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Fig. 7

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Relationship between the maximum stellar mass (Mmax), the Plummer radius (apl) and the EFF scale radius (aeff) at 4tff, and the velocity dispersion (σv) for simulations at refinement level 3 with different random seeds. All quantities are measured using stars within the radius around the densest region of the cluster that encloses 95% of the total stellar mass. The green line shows a linear fit to apl (plus symbols), given by apl/(1pc) = (0.0091 ± 0.0041)[Mmax/(1 M)] + 0.1608. The magenta line shows a linear fit to aeff (circle symbols), given by aeff/(1 pc) = (0.0084 ± 0.0035)[Mmax/(1 M)] − 0.0437. The blue line shows a linear fit to σv (square symbols), given by σv/(1kms−1) = (−0.017 8 ± 0.0051)[Mmax/(1 M)] + 2.6391. These linear fits are obtained with the linregress function from scipy.stats, which applies ordinary least-squares regression. The upper y-axis corresponds to apl and aeff in parsecs, while the lower y-axis represents σv in km s−1.

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