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We exhibit closed hyperbolic manifolds with arbitrarily small systole in eachdimension that are not quasi-arithmetic in the sense of Vinberg, and are thusnot commensurable to those constructed by Agol, Belolipetsky--Thomson, andBergeron--Haglund--Wise. This is done by taking hybrids of the manifoldsconstructed by the latter authors.

Systoles of hyperbolic hybrids