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tokens: We would like to acknowledge the developers of crpropa for making the code publicly available. The cosmological simulations presented in this work were performed using the enzo code ( http://enzo-project.org ), and were partially produced at Piz Daint (ETHZ-CSCS, http://www.cscs.ch ) in the Chronos project ID ch2 and s585, and on the JURECA supercomputer at the NIC of the Forschungszentrum Jülich, under allocations no. 7006 and 9016 (FV) and 9059 (MB). We also acknowledge the use of the Golem Cluster at Hamburger Sternwarte for analysis. FV acknowledges personal support from the grant VA 876/3-1 from the Deutsche Forschungsgemeinschaft (DFG). FV and MB also acknowledge partial support from the grant FOR1254 from DFG. This work was supported by the DFG through collaborative research centre SFB 676, by the Helmholtz Alliance for Astroparticle Physics (HAP) funded by the Initiative and Networking Fund of the Helmholtz Association and by the Bundesministerium für Bildung und Forschung (BMBF). We thank R. Clay, R. Alves Batista and J. Devriendt for useful comments on the manuscript.