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tokens: ACKNOWLEDGEMENTS The cosmological simulations described in this work were performed using the enzo code ( http://enzo-project.org ) that is the product of a collaborative effort of scientists at many universities and national laboratories. We gratefully acknowledge the ENZO development group for providing extremely helpful and well-maintained on-line documentation and tutorials. Most of the analysis done in this work was performed with the julia code ( https://julialang.org ). F.V. and D.W. acknowledge financial support from the ERC Starting Grant ‘MAGCOW’, no.714196. We acknowledge the usage of computational resources on the Piz-Daint supercluster at CSCS-ETHZ (Lugano, Switzerland) under project s701 and s805. We thank F. Zandanel, J. L. Han, and T. Akahori for useful scientific feedback, and our anonymous referee for valuable suggestions.