<｜begin▁of▁sentence｜>### Instruction:
Given the Astrophysics collaborations Graph which you can read from a gml file named astro-ph.gml, can you use the eigenvector community detection function from cdlib to analyze its community structure and then generate a JSON representation of the detected communities?
### Response:
import networkx as nx
from cdlib import algorithms

# Create a graph from the Astrophysics collaborations gml file
G = nx.read_gml('astro-ph.gml')

# Apply Eigenvector community detection algorithm
communities = algorithms.eigenvector(G)

# Generating JSON representation of the detected communities
communities_json = communities.to_json()

print(communities_json)
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