Fig. E.1.

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Time evolution of the electron distribution with EMBLEM (full lines) from t = 0 to t = tgrowth = 75 rg/c injecting a κ distribution with Θe = 10, κ = 4, and ṅe = 5.106/tgrowth. The magnetic field strength is set to 30 Gauss, resulting in a stationary regime for γ > 104 from the very beginning. This regime extends to lower γ values as time growths. To estimate the peak flux, we approximated the whole distribution (at t = tgrowth) by a simple Dirac at represented by the dashed gray line.
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