How to deep copy a list?

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After E0_copy = list(E0), I guess E0_copy is a deep copy of E0 since id(E0) is not equal to id(E0_copy). Then I modify E0_copy in the loop, but why is E0 not the same after?

E0 = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]
for k in range(3):
    E0_copy = list(E0)
    E0_copy[k][k] = 0
    #print(E0_copy)
print E0  # -> [[0, 2, 3], [4, 0, 6], [7, 8, 0]]

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