Central configurations in the spatial n-body problem for $$n=5,6$$ with equal masses

@article{Moczurad2020CentralCI,
  title={Central configurations in the spatial n-body problem for \$\$n=5,6\$\$ with equal masses},
  author={Małgorzata Moczurad and Piotr Zgliczyński},
  journal={Celestial Mechanics and Dynamical Astronomy},
  year={2020},
  volume={132},
  pages={1-27}
}
We present a computer assisted proof of the full listing of central configurations for spatial n-body problem for $$n=5$$ and 6, with equal masses. For each central configuration, we give a full list of its Euclidean symmetries. For all masses sufficiently close to the equal masses case, we give an exact count of configurations in the planar case for $$n=4,5,6,7$$ and in the spatial case for $$n=4,5,6$$ . 
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