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The Collaborative International Dictionary
Monarchically

Monarchic \Mo*nar"chic\, Monarchical \Mo*nar"chic*al\, a. [F. monarchique, Gr. ?.] Of or pertaining to a monarch, or to monarchy.
--Burke. -- Mo*nar"chic*al*ly, adv.

Wiktionary
monarchically

a. In a monarchic or monarchical fashion.