Power-law slope of j_tr versus r_tr, $j_{\text{tr}}\propto r_{\text{tr}}^{a_{\text{out},\text{in}}}$, averaged for all the tracer particles within a single epoch, versus the final stellar mass (blue dots), as explained in the main text. The upper panel is for the scaling outside of R_BH, the lower panel for the scaling inside R_BH. The red lines show the median slope values a_out = 0.82 (upper panel) and a_in = 0.53 (lower panel, computed over masses ≥0.5 M_⊙), and the shaded regions the rms value around the median.