Actually... the dillemma is even more wonderful than you might've noticed:
Seleukides. Confirmed, exist. But it's not the right word.
Seleukidai. Or Seleukides (sg.) -> Not within the TLG, and as a matter of fact the right patronimicum appears to be Seleukeus. (According to the TLG anyways.) From 'tois Seleukidais' (1 source, uses it a grand total of 4 times) we learn that Seleukdai might've existed, only the question is (as seems to be confirmed with the total lack of Seleukidai/Seleukidais elsewhere) 'do we have a source here which uses dodgy Greek itself?' Then there is the issue that other patronimica are more widespread:
Seleukeis... And various other deratives of Seleukeus appear to be most widespread and frequent. Which is quite relative, considering that it's all something like ~5-40 hits. Only Seleukeia (the city) and Seleukos (the man) and their various conjugations get anything like a substantial 'post count' - i.e 200+.
Then there is another, less frequent 'class': Seleukeios.
Or rather Seleukeioi, since were talking plural here.. But I've got a feeling that it somehow intimately connected with the city itself... It is however the only thing to be retrieved through Perseus' dictionary. And in fact, it can pass for a valid patronimicum as well... Yet it is even less common than Seleukidais (it's got only 1 hit total).
And according to Middle Liddel Seleukis is a cup named after Seleukos, the word is used by Ploutarchos...![]()
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