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tokens: We thank M. J. Irwin for allowing us to use his observational data. We are also grateful to an anonymous referee for providing useful information and comments. The computations were performed on the FIRST cluster at the Center for Computational Sciences, University of Tsukuba. This work was supported in part by JSPS Grants-in-Aid for Scientific Research: (A) (21244013), (C) (25400222), and (S) (20224002), and Grants-in-Aid for Specially Promoted Research by MEXT (16002003).