\left\{ \begin{array} { l } { 1 + 2 d + q ^ { 4 } = 2 } \\ { 1 + 4 d + q ^ { 2 } = 13 } \end{array} \right.
Solve for d, q
d=\frac{47+\sqrt{79}i}{16}\approx 2.9375+0.555512151i\text{, }q=\sqrt[4]{5}e^{\frac{-\arctan(\sqrt{79})i+2\pi i}{2}}\approx -1.114914341+0.996510907i
d=\frac{47+\sqrt{79}i}{16}\approx 2.9375+0.555512151i\text{, }q=\sqrt[4]{5}e^{-\frac{\arctan(\sqrt{79})i}{2}}\approx 1.114914341-0.996510907i
d=\frac{-\sqrt{79}i+47}{16}\approx 2.9375-0.555512151i\text{, }q=\sqrt[4]{5}e^{\frac{\arctan(\sqrt{79})i}{2}}\approx 1.114914341+0.996510907i
d=\frac{-\sqrt{79}i+47}{16}\approx 2.9375-0.555512151i\text{, }q=\sqrt[4]{5}e^{\frac{\arctan(\sqrt{79})i+2\pi i}{2}}\approx -1.114914341-0.996510907i
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