Shadows of family of matrices $M_4(\phi)=e^{i\phi} \begin{pmatrix} 1&0&0&1\ 0&i&0&1\ 0&0&-1&0\ 0&0&0&-i \end{pmatrix},$ with $\phi\in[0, 2\pi]$. Upper and right plots present marginal distributions of real and imaginary part corresponding to shadows of hermitian and anti-hermitian parts of $M_4(\phi)$.

Standard numerical shadow with respect to complex states.

Standard numerical shadow with respect to real states.