Perseus analysis of εἶμ':

εἶμι,εἶμι (come): pres ind act 1st sg

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εἶμι

εἶμι (ibo), 2sg. εἶ S. Tr. 83, Ar. Av. 990, Ep. and Ion. εἶς Hes. Op. 208, εἶσθα Il. 10.450, Od. 19.69; 3sg. εἶσι; pl. ἴμεν, ἴτε, ἴᾱσι: imper. ἴθι (also εἶ in the compd. ἔξει Ar. Nu. 633 acc. to Sch., but prob. indic.), 3pl. ἴτωσαν E. IT 1480, Pl. Lg. 765a, also ἴτων A. Eu. 32, ἰόντων Th. 4.118, etc.: subj. ἴω (εἴω Sophr. 48); Ep. 2sg. ἴῃσθα Il. 10.67; Ep. 3sg. ἴῃσι 9.701; Ep. pl. ἴομεν (for -ωμεν) 2.440: opt. ἴοιμι, οις , οι, 14.21, etc.; ἰοίην Sapph. 159, IG 4.760 (Troezen), X. Smp. 4.16, (διεξ-) Isoc. 5.98; Ep. ἰείη Il. 19.209, cf. περι-ιεῖεν IG 22.1126.18 (Amphict. Delph.), εἴη Il. 24.139, Od. 14.496, εἴηι GDI 4986.7 (Crete): inf. ἰέναι, Ep. ἴμεναι (ι in Il. 20.365) or ἴμεν, also ἰέμεν Archyt. ap. Stob. 3.1.106 (dub. l.), ἴναι [ῐ] Orac. ap. Str. 9.2.23, (ἐξ-) Macho ap.Ath. 13.580c, cf. EM 467.18 (προσ-εῖναι dub. in Hes. Op. 353): part. ἰών, ἰοῦσα, ἰόν: impf. ᾔειν, ᾔεις (δι-ῄεισθα Pl. Ti. 26c, ἐπεξ-ῄεισθα Euthphr. 4b), ᾔει or -ειν Id. Ti. 38c, Criti. 117e; Ep. and Ion. ἤϊα, 3sg. ἤϊε (-εν), contr. ᾖε Od. 18.257; dual ᾔτην Pl. Euthd. 294d; 1 and 2pl., ᾖμεν, ᾖτε; 3pl., Ep. and Ion. ἤϊσαν, Ep. also ἴσαν, Att. ᾖσαν (μετ-) Ar. Eq. 605, cf. Fr. 161, (ἐπ-) Od. 19.445, later ᾔεσαν (εἰσ-) Arist. Ath. 32.1, etc.; also 3sg. ἴε Il. 2.872, al.; Ep. 1pl. ᾔομεν Od. 10.251, al., 3dual ἴτην Il. 1.347; 3pl. ἤϊον Od. 23.370:—Med. pres. and impf. ἴεμαι, ἰέμην are mere mistakes for ἵεμαι, ἱέμην (from ἵημι), cf. S. OT 1242, E. Supp. 698 :—for fut. εἴσομαι and aor. Med. εἰσάμην, in 3sg. εἴσατο, ἐείσατο, 3dual ἐεισάσθην , v. εἴσομαι ΙΙ.—The ind. εἶμι usu. has pres. sense in Hom. (fut., Il. 1.426, 18.280), but in Ion. Prose and Att. it serves as fut. to ἔρχομαι (q. v.), I shall go, shall come: the pres. sense is sts. found in Poetry, prov. αὐτόματοι δʼ ἀγαθοὶ ἀγαθῶν ἐπὶ δαῖτας ἴασι (cf. Pl. Smp. 174b), cf. Theoc. 25.90, also in compds. (προσ-) A. Eu. 242, (ἐπ-) Th. 4.61, (συν-) Str. 3.2.2. [ῐ- in all tenses, exc. in Ep. Subj. ἴομεν for ἴωμεν at the beginning of a verse]:—

A. come or go, the special senses being given by the context, οἴκαδʼ ἴμεν go home, Il. 17.155; τάχʼ εἶσθα θύραζε Od. 19.69, etc.; come, οὐδέ μιν οἴω νῦν ἰέναι Il. 17.710, etc.; go, depart, Od. 2.367; ὑπὸ τεῖχος ἰόντας Il. 12.264.

II. c.acc.,

1. c. acc. loci, go to or into, Od. 1.176, 18.194, S. OT 637.

2. c. acc. cogn., ὁδὸν ἰέναι go a road, Od. 10.103; so τὴν ὀρεινήν (sc. ὁδόν) X. Cyr. 2.4.22: metaph., ἄδικον ὁδὸν ἰέναι Th. 3.64.

3. go through or over, τὸ μέσον τοῦ οὐρανοῦ, of the sun, Hdt. 2.25, cf. 26: in Hom., freq. c. gen., ἰὼν πεδίοιο going across the plain, Il. 5.597.

III. c. inf. aor., ἀλλά τις εἴη εἰπεῖν Ἀτρεΐδῃ Od. 14.496 .—On the Homeric βῆ δʼ ἴμεν , etc., v. βαίνω.

IV. also of other motions besides walking or running, as of going in a ship, esp. ἐπὶ νηὸς ἰέναι Od. 2.332, etc.; of the flight of bees, Il. 2.87.

2. of the motion of things, [πέλεκυς] εἶσιν διὰ δουρός the axe goes through the beam, 3.61; of clouds or vapour, 4.278; of the stars, 22.317; of time, ἔτος εἶσι the year will pass, Od. 2.89; φάτις εἶσι the report goes, 23.362; χρόνος . . ἰὼν πόρσω Pi. O. 10 (11).55; ἴτω κλαγγά, βοά, S. Tr. 208 (lyr.), Ar. Av. 857 (lyr.); ἡ μοῖρʼ ὅποιπερ εἶσʼ ἴτω S. OT 1458, cf.Pl. Ap. 19a.

2. ἴτω let it pass, well then, Id. Ph. 120, E. Med. 798.

VII. part. added to Verbs, φρονείτω μεῖζον ἢ κατʼ ἄνδρʼ ἰών let him go and think . . , S. Ant. 768, cf. OC 1393, Aj. 304; βακχεύσεις ἰών E. Ba. 343 .—Cf. ἴσκω.