The phrase 'καὶ Πολυμνήστεια ποιῶν καὶ ξυνὼν Οἰωνίχῳ' presents a significant crux regarding the identity and grammatical function of the proper nouns. While 'Οἰωνίχῳ' is the dative of 'Οἰωνίχης' (a known figure, often identified as a comic poet or a specific type of seer), 'Πολυμνήστεια' is problematic. It appears to be a coined adjective or a proper noun in the accusative, yet it lacks clear attestation in standard lexica outside this specific Aristophanic context. The construction 'ποιῶν ... ξυνὼν' (doing/making ... and being together with) suggests a parallel action, but the semantic link between 'Poly Mnesteia' (perhaps 'much wooing' or a pun on the name 'Poly' and 'Mnesteia') and the dative 'Oionichō' is obscure. Some editors have conjectured 'Πολυμνήστει' (dative) to match 'ξυνὼν', while others argue for 'Πολυμνήστεια' as a substantive (e.g., 'the Poly Mnesteia' or a specific type of dance or ritual). The lack of parallel usage and the potential for a pun on 'μνᾶ' (weight) or 'μνᾶ' (memory) versus 'μνᾶ' (wooing) makes this a genuine lexical and syntactical difficulty requiring specific commentary on the textual variants and the intended wordplay.