Hector is now quite certain that he will in fact die at the hands of Achilles, but he wishes all the more to die in a way that will assure him of having the kleos ‘glory’ of poetry, and such ‘genuine’ glory is marked here by the negation of the adverb a-kleiōs ‘without the genuine glory [kleos] (of poetry)’. What he is saying, then, is that he wishes not to die without being assured of the kleos ‘glory’ of poetry. He has already been saying that at I.22.110. See also the comment on I.22.110, where it is already noted that the overarching ambition of Hector to achieve the genuine kleos ‘glory’ of poetry is recognized at the end of Andromache’s second lament, I.22.514. See the comment on I.22.514.