Let be a hyperbolic pretzel knot and its complement. For these knots, we verify a conjecture of Reid and Walsh: there are at most three knot complements in the commensurability class of . Indeed, if , we show that is the unique knot complement in its class. We include examples to illustrate how our methods apply to a broad class of Montesinos knots.
"Commensurability classes of $(-2,3,n)$ pretzel knot complements." Algebr. Geom. Topol. 8 (3) 1833 - 1853, 2008. https://doi.org/10.2140/agt.2008.8.1833