\[\Psi^{(\mathrm{E})}\left(\mathbf{x}\right)=2\sqrt{\ifrac{\pi}{3}}\,\exp\left(i%
\left(\tfrac{4}{27}z^{3}+\tfrac{1}{3}xz-\tfrac{1}{4}\pi\right)\right)\int_{%
\infty\exp\left(-7\pi i/12\right)}^{\infty\exp\left(\pi i/12\right)}\exp\left(%
i\left(u^{6}+2zu^{4}+(z^{2}+x)u^{2}+\frac{y^{2}}{12u^{2}}\right)\right)\,%
\mathrm{d}u,\]