tokens: Acknowledgements We acknowledge the data from the Kepler Discovery mission, whose funding is provided by NASA's Science Mission Directorate. This work has also made use of data from the European Space Agency (ESA) mission Gaia , 1 processed by the Gaia Data Processing and Analysis Consortium (DPAC 2 ). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement. S.B. and Y.L. acknowledges the Joint Research Fund in Astronomy (U1631236) under cooperative agreement between the National Natural Science Foundation of China (NSFC) and Chinese Academy of Sciences (CAS), NSFC 11273007 and 10933002, and the Fundamental Research Funds for the Central Universities. EC has received fundings from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement no. 664931.
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