Perseus analysis of ὀσσόμενος:

ὄσσομαι (oqṷ-yo-): pres part mp masc nom sg

LSJ entry

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ὄσσομαι

ὄσσομαι, (ὄσσε) Ep. Verb, used only in pres. and impf. without augm., pres. (I.-E.

II. see in spirit or with the mindʼs eye, ὀσσόμενος πατέρʼ ἐσθλὸν ἐνὶ φρεσίν Od. 1.115, cf. 20.81.

2. presage, have foreboding of, κακὰ δʼ ὄσσετο θυμός 10.374, cf. 18.154 ; ὄσσοντο γὰρ ἄλγεα θυμῷ Il. 18.224.