$\mathrm{F}_{\pm}(\mathbf{x})=\int_{0}^{\infty}\cos\left(ry\exp\left(\pm i%
\dfrac{\pi}{6}\right)\right)\exp\left(2ir^{2}z\exp\left(\pm i\dfrac{\pi}{3}%
\right)\right)\operatorname{Ai}\left(3^{2/3}r^{2}+3^{-1/3}\exp\left(\mp i%
\dfrac{\pi}{3}\right)\left(\tfrac{1}{3}z^{2}-x\right)\right)\,\mathrm{d}r.$