<｜begin▁of▁sentence｜>### Instruction:
As a Sports Agent representing a popular sports league, you have access to a database containing detailed information about different sports teams and their fan communities. You are interested in leveraging advanced network analysis techniques to identify and analyze the fan communities within these teams. By using the Eigenvector function in the CDlib library, you aim to detect communities based on the network relationships between fans and teams. Additionally, you want to calculate the proportion of connections that extend beyond the boundaries of these identified communities.
### Response:
import networkx as nx
from cdlib import algorithms

G = nx.read_gml('polblogs.gml')
communities = algorithms.eigenvector(G)
conductance = communities.conductance()
print(conductance)
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