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Imaginary part

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The function
ℑ (z)
gives the imaginary part of a complex number
z = r  eiθ = r cos  θ + i r sin  θ = a + i b = ℜ (z) + i ℑ (z)
ℑ (z) := b =
= r sin  θ,
is the complex conjugate of
For example,
ℑ (3 +
2   − 5
) =
2  5

A few sequences in the OEIS involve imaginary parts, such as for example A013629, floor of imaginary parts of nontrivial zeros of Riemann zeta function.

Compare real part.