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tokens: ACKNOWLEDGEMENTS The authors wish to thank the entire Kepler team, without whom these results would not be possible. Funding for this Discovery mission is provided by NASA’s Science Mission Directorate. Special thanks to the referee for pertinent comments on earlier versions of the manuscript that greatly improved the presentation. The research is supported by the European Community Programme ([FP7/2007-2013]) under grant agreement no. FP7-SPACE-2012-312844 (SPACEINN) and by Fundação para a Ciência e a Tecnologia (FCT) through national funds (UID/FIS/04434/2013) and by FEDER through COMPETE2020 (POCI-01-0145-FEDER-007672). MC also acknowledges support from FCT through Investigador FCT contractIF/00894/2012/CP0150/CT0004. This work was also supported in part by the ASTERISK project (ASTERoseismic Investigations with SONG and Kepler ) funded by the European Research Council (grant agreement no. 267864). Funding for the Stellar Astrophysics Centre is provided by the Danish National Research Foundation (grant agreement no. DNRF106). We also acknowledge supports by the NSFC grants (No. 11473053, 11233005, U1331201).