Perseus analysis of ἐπαρξάμενοι:

ἐπάρχω (rule over): aor part mid masc nom/voc pl

LSJ entry

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ἐπάρχω

2. rule besides oneʼs hereditary dominions, X. Cyr. 1.1.4.

3. = ἀπάρχομαι, τῇ ἐπαρχῇ ἣν ἐπάρχονται οἱ δημόται ib. 22.1215.13.

4. begin, c. inf., PTeb. 27.34 (ii B.C.).