σπεύδοντι

From LSJ

ταυτὶ γὰρ συκοφαντεῖσθαι τὸν Ἕκτορα ὑπὸ τοῦ Ὁμήρου → that is a false charge brought against Hector by Homer

Source

French (Bailly abrégé)

3ᵉ pl. prés. ind. dor. de σπεύδω.