ἀελπτέω
From LSJ
αἰτῶ δ' ὑγίειαν πρῶτον, εἶτ' εὐπραξίαν, τρίτον δὲ χαίρειν, εἶτ' ὀφείλειν μηδενί → first health, good fortune next, and third rejoicing; last, to owe nought to any man
English (LSJ)
A have no hope, despair, only in part., ἀελπτέοντες σόον εἶναι Il.7.310; ἀ. τοὺς Ἕλληνας ὑπερβαλέεσθαι Hdt.7.168.