Complete power spectrum at z = 1200 for the initial condition. Theoretical linear predictions and measured power spectra of initial conditions estimated using Pylians3 are shown in the top panel. The blue line shows the initial spectrum for the ΛCDM model. The initial power spectrum with all contributions from PBHs is shown in orange. The case with NB but no Poisson contribution (no PBHs) is shown in green. The cyan line shows the contribution due to the Poisson effect. The vertical dash-dotted grey lines show the location of $k_{\min }=\frac{2\pi }{L_{\mathrm{box}}}$ and k_nyq. Bottom: Ratio between the measured power spectra against the linear theoretical model.