ὁμολογουμένως
From LSJ
Ὁ δὲ μὴ δυνάμενος κοινωνεῖν ἢ μηδὲν δεόμενος δι' αὐτάρκειαν οὐθὲν μέρος πόλεως, ὥστε ἢ θηρίον ἢ θεός → Whoever is incapable of associating, or has no need to because of self-sufficiency, is no part of a state; so he is either a beast or a god
English (LSJ)
Adv., c. dat.,
A conformably with, τοῖς εἰρημένοις X.Ap.27 : abs., Id.Oec.1.11. b in Stoic Philos., ὁ. ζῆν, with or without τῇ φύσει, Zeno Stoic.1.45, Cleanth.ib.125, Chrysipp. ib.3.4. 2 by common consent, confessedly, admittedly, ὁ. μαχιμώτατοι Th.6.90, cf. And.1.140, Pl.Smp.186b, Hyp.Lyc.6, etc. ; ὁ. ἀγαθοί, ὁ. ἄριστοι, Pl.La.186b, Mx.243c ; ἡ ὁ. ἰητρική Hp.VM5.