<｜begin▁of▁sentence｜>### Instruction:
As a network analyst assistant, you're given the task of applying the Girvan-Newman algorithm to the neural network graph of the C. elegans organism. This graph can be read from a GML file named celegansneural.gml. Please use the Girvan-Newman algorithm to detect communities within the neural network graph by cutting the dendrogram at level 3. Afterwards, provide the JSON representation of the resulting communities.

Keep in mind that the neural network graph of the C. elegans organism contains information about the connections between its neurons, and community detection will help to identify groups of neurons that are closely interconnected.
### 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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