εἰσγράφω · eisgraphō — LSJ
inscribe, enrol, to have, enrolled
inscribe, στηλῶν ἐς ἃς οἱ νόμοι ἐσεγράφοντο D.C. 37.9; enrol, τινὰ εἰς τοὺς φίλους Id. 36.53; τινὰς ἐς τὸν κατάλογον Id. Fr. 109.5 ; also of painting, πορφυραῖ σκιαὶ τοὺς ὀφθαλμοὺς εἰς κάλλος -ουσιν Ael. NA 12.25 :—Med., ἐς τὰς σπονδὰς ἐσγράψασθαι ἑαυτούς to have themselves enrolled in the league, Th. 1.31:—Pass., D.C. 61.21.
2 write down, send in a report
simply, write down, μαντεῖα S. Tr. 1167; send in a report, BCH 46.400 (Mylasa).