<｜begin▁of▁sentence｜>### Instruction:
Given the neural network graph of the C. elegans organism, which can be read from a GML file named celegansneural.gml, can you use the Girvan–Newman algorithm to perform community detection by cutting the dendrogram at level 3? Can you provide the JSON representation of the resulting communities?
### Response:
import networkx as nx
from cdlib import algorithms

# Read the neural network graph of C. elegans
G = nx.read_gml('celegansneural.gml')

# Perform Girvan-Newman community detection
communities = algorithms.girvan_newman(G, level=3)

# Convert the result to JSON
communities_json = communities.to_json()

print(communities_json)
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