$x=\frac{6^{\frac{2}{3}}e^{\frac{\pi i}{3}}\sqrt[3]{q}}{6}\text{, }y=\frac{\sqrt[3]{6}\left(e^{\frac{\pi i}{3}}\sqrt[3]{q}+\sqrt[3]{6}\right)^{2}}{6}$
$x=-\frac{6^{\frac{2}{3}}\sqrt[3]{q}}{6}\text{, }y=\frac{\sqrt[3]{6}\left(-\sqrt[3]{q}+\sqrt[3]{6}\right)^{2}}{6}$
$x=\frac{6^{\frac{2}{3}}e^{\frac{5\pi i}{3}}\sqrt[3]{q}}{6}\text{, }y=\frac{\sqrt[3]{6}\left(e^{\frac{5\pi i}{3}}\sqrt[3]{q}+\sqrt[3]{6}\right)^{2}}{6}$

$y=\frac{\sqrt[3]{6}\left(-\sqrt[3]{q}+\sqrt[3]{6}\right)^{2}}{6}$