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Table 1.

Spearman rank correlation coefficients ρsp and corresponding p-values of halo properties and their anisotropy proxies for all the groups and clusters in the sample (M200 > 1 × 1013Mh−1), and for the 408 most massive groups and clusters (M200 > 5 × 1013Mh−1).

M200 > 1 × 1013Mh−1 M200 > 5 × 1013Mh−1

ρsp p-value ρsp p-value
ϵ and κ 0.11 2.15 × 10−7 0.17 5 × 10−4

ϵ and dM/dt(z ∼ 0) 0.37 3.1 × 10−78 0.31 2 × 10−10
κ and dM/dt(z ∼ 0) 0.33 3.8 × 10−60 0.35 4 × 10−13

ϵ and χDS −0.44 1.9 × 10−7 −0.42 1 × 10−10
κ and χDS −0.13 4.6 × 10−11 −0.17 5 × 10−4

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