Lewis & Short

in-vĭgĭlo, āvi, ātum, 1, v. n., to watch or be awake in, at, over, or on account of any thing; to be watchful over or on account of; to be intent on, pay attention to, bestow pains upon.
With dat. (mostly poet.): rei publicae, Cic. Phil. 14, 7, 20: publicis utilitatibus, Plin. Pan. 66, 2: custodiendis domibus, Lact. 4, 17, 19: nec capiat somnos invigiletque malis, Ov. F. 4, 530: mens invigilat curis, Sil. 10, 331: rati, Val. Fl. 2, 374: namque aliae victu (for victui) invigilant, Verg. G. 4, 158: venatu (for venatui), id. A. 9, 605: hereditati, Dig. 29, 2, 25, § 8.
Absol., to be watchful: invigilate, viri, tacito nam tempora gressu diffugiunt, Col. 10, 151.
With pro: invigiles igitur nostris pro casibus oro, Ov. Tr. 1, 5, 43.
With inf.: prohibere minas, Val. Fl. 5, 257.
Hence, in-vĭgĭlātus, a, um, P. a., elaborated in night vigils, diligently composed: invigilata lucernis Carmina, Cinna ap. Isid. Orig. 6, 12.