<｜begin▁of▁sentence｜>### Instruction:
Imagine you're overseeing the health and wellness of a group of five animals, each living in interconnected habitats that form a perfect loop, allowing them to visit each other in a cyclical manner. As a veterinarian, you understand the importance of analyzing the connections between these habitats to prevent the spread of disease and promote overall animal welfare. To accomplish this, you turn your attention to a tool that charts the relational dynamics of these environments, much like a cycle graph with 5 nodes maps out relationships in a network.

To gain a deeper understanding of the intricate web of interactions, you wish to apply a concept akin to the Tutte polynomial to this cycle graph. This mathematical computation helps provide insights into the complexity and connectivity within the system. Could you elaborate on how you would extract and interpret the Tutte polynomial from this cycle graph, utilizing NetworkX to assist with this intricate task?
### Response:
import networkx as nx

# Create a cycle graph with 5 nodes
C = nx.cycle_graph(5)

# Compute the Tutte polynomial of the graph
polynomial = nx.tutte_polynomial(C)

# Print the Tutte polynomial
print(polynomial)
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