[1] (Likewise in syntactical lexica.) In classical usage, both boa/w ["I call upon"] and o)/mnumi ["I swear by"] were construed with the accusative, not the dative, but both can occur with dative in later Greek.
[2] The verb boa/w is sometimes used of solemn or inspired proclamations and declarations; perhaps it is in this sense that it could be glossed with "swear." Same glossing in Hesychius and Photius, though the headword there is transmitted as bww=men (otherwise unattested), not the Suda's bow=men.
[3] Present middle-passive participle of boa/w, masculine accusative singular or neuter nominative/accusative singular. Same glossing in Photius and elsewhere; evidently quoted from somewhere.