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tokens: This work has made use of the HPC resources of CINES (Jade supercomputer) under the allocation 2013047012 and 2014047012 made by GENCI. Part of the analysis was performed on the DiRAC facility jointly funded by STFC and the Large Facilities Capital Fund of BIS. This work is partially supported by the Spin(e) grants ANR-13-BS05-0005 of the French Agence Nationale de la Recherche and by the ILP LABEX (under reference ANR-10-LABX-63 and ANR-11-IDEX-0004-02). The research of YD has been supported at IAP by ERC project 267117 (DARK) hosted by Université Pierre et Marie Curie – Paris 6. We thank S. Rouberol for running smoothly the horizon cluster for us, and D. Munro for freely distributing his yorick programming language and opengl interface (available at http://yorick.sourceforge.net/ ). SC and CP thank Lena for her hospitality during the course of this work. VD would like to thank the Institut d'Astrophysique de Paris for hospitality during the completion of this work, and acknowledges support by the Swiss National Science Foundation. JD and ASs research is supported by funding from Adrian Beecroft, the Oxford Martin School and the STFC.