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\label{fig:cs-spectrum}  Spectrum of one-dimensional complex-scaled single-particle Hamiltonian with potential $v(x) = 3(x^2 - 2) \ee^{-x^2 \mathrm{e}^{-x^2  / 4}$ and $\theta=0.5$. The lowest-energy resonance, here located close to the origin, does not lie exactly on the real axis but has an imaginary part of about $-10^{-5}$.