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Table 1

Power-law fits to luminosity relationships of RASS and eRASS1 samples.

Relation RASS eRASS1
LX-Lν,R LX=1017.2±1.6Lν,R0.8±0.1Mathematical equation: $\displaystyle L_{\rm X} = 10^{17.2 \pm 1.6} L_{\rm \nu,R}^{0.8 \pm 0.1}$ LX=1019.1±0.6Lν,R0.68±0.04Mathematical equation: $\displaystyle L_{\rm X} = 10^{19.1 \pm 0.6} L_{\rm \nu,R}^{0.68 \pm 0.04}$
Lν,R-Lbol Lν,R=102.1±2.5Lbol0.53±0.07Mathematical equation: $\displaystyle L_{\rm \nu,R} = 10^{-2.1 \pm 2.5}\, L_{\rm bol}^{0.53 \pm 0.07}$ Lν,R=102.6±1.5Lbol0.56±0.04Mathematical equation: $\displaystyle L_{\rm \nu,R} = 10^{-2.6 \pm 1.5} \,L_{\rm bol}^{0.56 \pm 0.04}$
LX-Lbol LX=1029.82±0.07(Lbol1033)0.67±0.06Mathematical equation: $\displaystyle L_X = 10^{29.82 \pm 0.07} \left(\frac{L_{\rm bol}}{10^{33 }}\right)^{0.67 \pm 0.06}$ LX=1029.90±0.07(Lbol1033)0.48±0.03Mathematical equation: $\displaystyle L_X = 10^{29.90 \pm 0.07} \left(\frac{L_{\rm bol}}{10^{33}}\right)^{0.48 \pm 0.03}$

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