<｜begin▁of▁sentence｜>### Instruction:
As a network analyst, you are tasked with analyzing the participation and influence dynamics within a yoga community. You have access to a graph representation of the community's interactions, with data stored in the file graph_data.gml. Your objective is to leverage the eigenvector_centrality function within igraph to calculate and report the influence levels (eigenvector centralities) of the community members, based on their active participation and contributions during yoga classes and sessions.
### Response:
from igraph import Graph

g = Graph.Read_GML('graph_data.gml')

# Calculate eigenvector centralities
eigen_centrality = g.eigenvector_centrality()

# Print the eigenvector centrality for each vertex
for idx, centrality in enumerate(eigen_centrality):
    print(f'Vertex {idx}: Eigenvector Centrality = {centrality}')
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