When Anakin incapicated Dooku on the Invisible Hand, He(Anakin) cuts off the both hands of the Sith Lord. As a result, Dooku loses his lightsaber to Anakin.
Afterwards,When Anakin comes closer to Palpatine he removed him from the Chair. But,what happened to Tyrnaus' Lightsaber,Afterwards? Did Anakin give it to Palpatine or Did he keep it?