hegemonical

from The Collaborative International Dictionary of English v.0.48

Hegemonic \Heg`e*mon"ic\, Hegemonical \Heg`e*mon"ic*al\, a. [Gr.
   ?. See {Hegemony}.]
   Leading; controlling; ruling; predominant. "Princelike and
   hegemonical." --Fotherby.
   [1913 Webster]