XMM-SERVS X-ray extended Galaxy Cluster (XVXGC) catalog

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Volume 691 (November 2024)

A&A, 691 (2024) A300

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Table 4

Parameters for relations in Fig. 14.

Par.	Fitting	par.	K–S test	par.
	k	b	D	p
z	${0.726}_{- 0.005}^{+ 0.004}$ $0.726_{ - 0.005}^{ + 0.004}$	${0.067}_{- 0.002}^{+ 0.002}$ $0.067_{ - 0.002}^{ + 0.002}$	0.056	1.000
z*	${0.968}_{- 0.005}^{+ 0.005}$ $0.968_{ - 0.005}^{ + 0.005}$	${0.009}_{- 0.002}^{+ 0.002}$ $0.009_{ - 0.002}^{ + 0.002}$	0.058	1.000
R₅₀₀	${0.168}_{- 0.007}^{+ 0.007}$ $0.168_{ - 0.007}^{ + 0.007}$	${0.615}_{- 0.006}^{+ 0.006}$ $0.615_{ - 0.006}^{ + 0.006}$	0.419	0.008
$R_{500}^{}$ $R_{500}^$	${0.780}_{- 0.010}^{+ 0.010}$ $0.780_{ - 0.010}^{ + 0.010}$	${0.040}_{- 0.009}^{+ 0.009}$ $0.040_{ - 0.009}^{ + 0.009}$	0.467	0.003
L₅₀₀	${0.965}_{- 0.002}^{+ 0.002}$ $0.965_{ - 0.002}^{ + 0.002}$	${1.478}_{- 0100}^{+ 0.099}$ $1.478_{ - 0100}^{ + 0.099}$	0.219	0.434
M₅₀₀	${0.876}_{- 0.016}^{+ 0.016}$ $0.876_{ - 0.016}^{ + 0.016}$	${1.609}_{- 0.234}^{+ 0.236}$ $1.609_{ - 0.234}^{ + 0.236}$	0.333	0.931
F₅₀₀	${0.638}_{- 0.006}^{+ 0.006}$ $0.638_{ - 0.006}^{ + 0.006}$	$- {4.554}_{- 0.069}^{+ 0.068}$ $- 4.554_{ - 0.069}^{ + 0.068}$	0.571	0.212

Notes. Fitting parameters and K–S test parameters of the parameters in this work and literature results. The second and third columns are the best-fitting parameters and corresponding 1σ errors for the best linear fitting. The last two columns list the K–S test statistic D and the p-value. The z* and $R_{500}^{*}$ $R_{500}^*$ rows show the fitting performance of the sample when a few outliers are discarded, as shown with the blue dotted line with cyan shade in Fig. 14.

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