Wiktionary
vb. (context transitive English) To obtain (a warrant or the like) by swearing to facts.
WordNet
Usage examples of "swear out".
I could swear out a criminal warrant for you-all letting a dangerous beast like that run loose.
Each of us will examine each of the three scorpions - as closely as we might choose, including the assistance of a mage if desired, and then swear out loud, by whatever gods we normally swear by, as precise a statement of what we see as we can.
He turns toward me when he pivots away, and I catch the devilish glitter in the coffee-dark eyes under his thinning brows and almost swear out loud.
And you two, you'll have to come as well if you want to swear out a warrant.
That is a poor excuse for my actions, but I swear out of all I know that it is the only excuse that ever matters.
The best she could do would be to swear out a restraining order, but since she was required to treat Rodney until Luanne returned, that was useless.
You could swear out a warrant for trespassing, but unless he has priors, there's not a whole lot they're going to do to him.
It was easier to swear out a warrant than to recall one sworn, and this might be the very same one caused by Genester, my old enemy.