The construction presents a syntactical crux: the participle ἀνασπῶντʼ (accusative singular masculine) appears to govern the accusative αὐτοπρέμνοις, yet the preposition ἀνὰ with the accusative is standard, while the form αὐτοπρέμνοις (dative plural) creates a case conflict. This has led editors like Diels and Page to conjecture that the text may be corrupted, with some suggesting αὐτοπρέμνοις should be αὐτοπρέμνους (accusative) to match the participle, or that the participle is elliptical for a verb requiring the dative (e.g., ὑπηρετοῦντος). The ambiguity is compounded by the lack of clear manuscript support for either reading, making this a genuine crux requiring textual intervention or sophisticated syntactic reconstruction to resolve.