Welcome to the Springer-Nature Publishing Group AUTHOR REPRINT ORDER CENTRE. Simply order reprints of your article(s) online.

This site can be used by authors of papers published in the Nature Portfolio journals: www.nature.com/siteindex. If you have any questions regarding your journal, please contact author-reprints@nature.com

All reprints in quantities of 400 or more are subject to the commercial rate. To order, please contact our Commercial Reprint Department
at commercial-reprints@us.nature.com

For the authors residing in Japan, please fill out the order form at www.natureasia.com/ja-jp/info/reprints/authors and contact the Japan office for any questions author-shc_author_reprint_request@springernature.com



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