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How to extract coordinate tuples of homology generators from a simplicial complex?

I am trying to extract the generators of the homology of a simplicial complex using SageMath. The only way I currently know to do this is to first convert the simplicial complex into a chain complex, and then compute the homology with generators. For example,

K = SimplicialComplex([[0, 1], [1, 2], [2, 0]])
CC = K.chain_complex()
CC.homology(generators=True)

This returns the output:

{0: [(Z, Chain(0:(0, 1, 0)))], 1: [(Z, Chain(1:(1, -1, 1)))]}

I would like to extract just the coordinate tuple from the generator — for instance, from Chain(1:(1, -1, 1)), I want to extract the tuple (1, -1, 1).

What is the proper way to access or extract this tuple of coefficients from the Chain object? Any help would be appreciated!

How to extract coordinate tuples of homology generators from a simplicial complex?

K = SimplicialComplex([[0, 1], [1, 2], [2, 0]])
CC = K.chain_complex()
d = CC.homology(generators=True)
print(d)

This returns the output:

{0: [(Z, Chain(0:(0, 1, 0)))], 1: [(Z, Chain(1:(1, -1, 1)))]}

I would like to extract just the coordinate tuple from the generator — for instance, from Chain(1:(1, -1, 1)), I want to extract the tuple (1, -1, ~~1).~~

1). I know that the output is a dictionary. Using the following command

d[1][0][1]

I get

Chain(1:(1, -1, 1))

What is the proper way to access or extract this tuple of coefficients from the Chain object? Any help would be appreciated!