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The Collaborative International Dictionary
Hegemonical

Hegemonic \Heg`e*mon"ic\, Hegemonical \Heg`e*mon"ic*al\, a. [Gr. ?. See Hegemony.] Leading; controlling; ruling; predominant. ``Princelike and hegemonical.''
--Fotherby.

Wiktionary
hegemonical

a. leading; controlling; predominant