Lewis Short
mullĕus calcĕus | mul-lĕus, i (noun M) :
* Absol., , , m.mullus, a reddish or purplecolored shoe, worn only by the three highest magistrates (the consul, praetor, and curule aedile): mulleos genus calceorum aiunt esse; quibus reges Albanorum primi, deinde patricii sunt usi, quos putant a mullando dictos, i. e. suendo, Paul. ex Fest. p. 142 Müll.; Vop. Aurel. 49: nomen his (mullis) Fenestella a colore mulleorum calciamentorum datum putat,Plin. 9, 17, 30, § 65.
Charlton T. Lewis, Charles Short, A Latin Dictionary