εἰσίημι · eisiēmi — LSJ
send into, ἐς τὴν [λίμνην] εἰ. τὸ ὕδωρ, of rivers, Hdt. 7.109; εἰ. τοὺς Πέρσας ἐς τὸ τεῖχος let them in, Id. 3.158; τὴν [κεδρίην] (sc. ἐς τὴν κοιλίην) Id. 2.87:—Med., τοὺς πολεμίους ἔφη εἰσέσθαι said he had let them in, X. HG 1.3.19; χάριτας Sammelb. 4324.8:—Pass., IG 1(2).115.18 (Lex Dracontis).
Med., αὖλιν ἐσιέμεναι betaking themselves into their own roost, Od. 22.470.