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Table 1.

Properties of the voids before and after radius and density-based filtering.

Filter level Type Rlim ρ lim / ρ ¯ $ \rho_{\mathrm{lim}}/\bar{\rho} $ Nvoids ϕV R ¯ $ \bar{R} $ ρ ¯ min / ρ ¯ $ \bar{\rho}_{\mathrm{min}}/\bar{\rho} $ ρ ¯ void / ρ ¯ $ \bar{\rho}_{\mathrm{void}}/\bar{\rho} $
(Mpc h−1, min radius) (max density) (%) (Mpc h−1)

Unfiltered ideal 1065 100 10.70 0.13 1.30
perturbed 2558 100 7.92 0.36 1.33

Soft ideal 10 0.2 531 88 14.24 0.07 1.04
perturbed 5 0.33 1410 88 9.96 0.21 0.99

Medium ideal 12.5 0.2 331 74 16.00 0.06 0.96
perturbed 5 0.25 951 77 11.01 0.17 0.90

Strong ideal 15 0.2 168 54 18.32 0.04 0.86
perturbed 5 0.2 614 62 11.97 0.14 0.83

Notes. Columns in the table: filtering level; galaxy sample type; void filtering minimum radius, Rlim, and maximum density, ρlim; number of voids, Nvoids; void volume fraction, ϕV; the average void radius, R ¯ $ \bar{R} $; minimum density, ρ ¯ min $ \bar{\rho}_{\mathrm{min}} $; and void density, ρ ¯ void $ \bar{\rho}_{\mathrm{void}} $.

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