<｜begin▁of▁sentence｜>### Instruction:
As an online moderator responsible for managing a social media platform, you've been tasked with analyzing the community structure within the platform's network. To accomplish this, you need to utilize the 'eigenvector' function in the cdlib library to detect communities within the social network graph. Furthermore, you are required to provide a JSON representation of the detected community structure for further analysis and moderation. The social network graph, which represents the connections between users, is available in a GML file named 'lesmis.gml.'
### Response:
import networkx as nx
from cdlib import algorithms

# Load the graph
G = nx.read_gml('lesmis.gml')

# Perform community detection using eigenvector method
communities = algorithms.eigenvector(G)

# Convert the community structure to JSON format
communities_json = communities.to_json()

print(communities_json)
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