Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
princĭpālĭtas, ātis, f. [principalis], the first place, superiority, pre-eminence, excellence (post-class.; opp. posteritas, the last place), Tert. Praescr. 31: animae, id. Anim. 13: genera principalitatis, Macr. Somn. Scip. 1, 3.