Comparison of HMFs from the ΛCDM run (solid black curves) to the runs modeling cosmic strings with string tension Gμ = 10⁻⁸ (solid red curves) and Gμ = 10⁻¹⁰ (solid blue curves) with corresponding Poisson errors (shaded error bands) at redshifts z = 6, 9, and 12. Vertical dash-dotted lines indicate the first halo mass bin with 95% completeness (see text for details). We note that these are color-coded analogously to the solid curves, but overlapping in the plots shown here.