We give a sufficient condition on the hyperplanes used in the Belolipetsky–Thomson inbreeding construction to obtain nonarithmetic manifolds. We explicitly construct infinitely many examples of such manifolds that are pairwise noncommensurable and estimate their volume.
"Nonarithmetic hyperbolic manifolds and trace rings." Algebr. Geom. Topol. 18 (7) 4359 - 4373, 2018. https://doi.org/10.2140/agt.2018.18.4359