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Up to 9th-order accuracy, we present $\\langle\\xi_{2;a_0}^n\\rangle|_{\\mu_0}$ at the initial scale $\\mu_0 = 1~{\\rm GeV}$, i.e. $\\langle\\xi^1_{2;a_0}\\rangle|_{\\mu_0} = -0.307(43)$, $\\langle\\xi^3_{2;a_0}\\rangle|_{\\mu_0} = -0.181(34)$, $\\langle\\xi^5_{2;a_0}\\rangle|_{\\mu_0} = -0.078(28)$, $\\langle\\xi^7_{2;a_0}\\rangle|_{\\mu_0} = -0.049(26)$, $\\langle\\xi^9_{2;a_0}\\rangle|_{\\mu_0} = -0.036(24)$, respectively. 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