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We show that their ratios, C_2/C_{k1} and C_k/C_{k1}, exhibit clear dependence on the micro-scale Reynolds number R_{\\lambda}, implying that they cannot all be independent of R_{\\lambda}. In particular, it is found that (C_{k1}/C_2-0.25) = 1.95R_{\\lambda}^{-0.68}. 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