Ruling, governing. Frequently as postmodifier.

Prevailing, predominating, chief.

Designating the kind of prudence exercised by the ruler of a state. Also as n.

That overrules something or someone; that exerts superior or absolute authority; prevailing.

That predominates; predominant; prevailing, governing; chief, principal.

= hegemonic, adj.

Of a thing, quality, etc.: ruling, exercising sway or influence; dominating, predominant.

Of a passion or emotion: dominant, controlling; occupying a large part of one's time or attention.

That presides.

Ruling, leading, supreme; acting as a hegemon; (now esp.) of, relating to, or assuming political or social hegemony, hegemonistic.

That oversteps rules, manners, etc.; unruly.

Ruling, directing. Obsolete. rare.

in the ascendant: supreme, dominant. (Sometimes also: Rising, ascending.)

Able to overrule or supersede another authority; taking precedence over all other subjects, considerations, etc.; predominant, primary. Also: able…

Relating to or like (that of) an octopus; octopoid.

= hegemonic, adj.