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Ecuación 5x+12=8x+30
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Expresiones idénticas
- (2x)^ tres +ax+bx+ doce = cero
- (2x) al cubo más ax más bx más 12 es igual a 0
- (2x) en el grado tres más ax más bx más doce es igual a cero
- (2x)3+ax+bx+12=0
- 2x3+ax+bx+12=0
- (2x)³+ax+bx+12=0
- (2x) en el grado 3+ax+bx+12=0
- 2x^3+ax+bx+12=0
- (2x)^3+ax+bx+12=O
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Expresiones semejantes
- (2x)^3-ax+bx+12=0
- (2x)^3+ax+bx-12=0
- (2x)^3+ax-bx+12=0
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Expresiones con funciones
- ax
- ax+b=c
- ax+√(3-2x-x^2)=4a+2
- ax=a^2*sqrt(x)
- ax=-by-c
- ax=2a-1
- bx
- bx-5x+13=-15
(2x)^3+ax+bx+12=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 (2*x) + a*x + b*x + 12 = 0
$$\left(b x + \left(a x + \left(2 x\right)^{3}\right)\right) + 12 = 0$$
Teorema de Cardano-Vieta
reescribamos la ecuación
$$\left(b x + \left(a x + \left(2 x\right)^{3}\right)\right) + 12 = 0$$
de
$$a x^{3} + b x^{2} + c x + d = 0$$
como ecuación cúbica reducida
$$x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0$$
$$\frac{a x}{8} + \frac{b x}{8} + x^{3} + \frac{3}{2} = 0$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = \frac{a}{8} + \frac{b}{8}$$
$$v = \frac{d}{a}$$
$$v = \frac{3}{2}$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = \frac{a}{8} + \frac{b}{8}$$
$$x_{1} x_{2} x_{3} = \frac{3}{2}$$
$$\left(b x + \left(a x + \left(2 x\right)^{3}\right)\right) + 12 = 0$$
de
$$a x^{3} + b x^{2} + c x + d = 0$$
como ecuación cúbica reducida
$$x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0$$
$$\frac{a x}{8} + \frac{b x}{8} + x^{3} + \frac{3}{2} = 0$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = \frac{a}{8} + \frac{b}{8}$$
$$v = \frac{d}{a}$$
$$v = \frac{3}{2}$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = \frac{a}{8} + \frac{b}{8}$$
$$x_{1} x_{2} x_{3} = \frac{3}{2}$$
Gráfica
Respuesta rápida
[src]
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| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|||| | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|||| | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||||| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|||| | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|||| | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||||
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| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //||| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //||| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|||| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //||| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //||| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|||
| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|||| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|||
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| / 2 / 2 | / 2 / 2
| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\
| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||
| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||
| / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|
| / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| | / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /
| 3*6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 3*6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | 3*6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 3*6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\ \/ \4 2 / 4 \/ \4 2 / 4 / \/ \4 2 / 4 \/ \4 2 / 4
$$x_{1} = - \frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{3} + i \left(- \frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{3} + \frac{\left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{3 \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}}} - \frac{\left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{3 \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}}}\right) - \frac{\left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{3 \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}}} - \frac{\left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{3 \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}}}$$
/ / 3*im(a) 3*im(b)\ / 1 \ / 3*re(a) 3*re(b)\ / 1 \ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\\ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\\\ / 3*re(a) 3*re(b)\ / 1 \ / 3*im(a) 3*im(b)\ / 1 \ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\\ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\\
| |- ------- - -------|*re|-------------------------------------------------------------| |- ------- - -------|*im|-------------------------------------------------------------| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|||| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||||| |- ------- - -------|*re|-------------------------------------------------------------| |- ------- - -------|*im|-------------------------------------------------------------| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|||| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||||
| \ 8 8 / | _____________________________________| \ 8 8 / | _____________________________________| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||||| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||||| \ 8 8 / | _____________________________________| \ 8 8 / | _____________________________________| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||||| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||||
| | / _________________________ | | / _________________________ | / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //||| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|||| | / _________________________ | | / _________________________ | / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //||| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|||
| | / / 3 | | / / 3 | / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|||| | / / 3 | | / / 3 | / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|||
| | / / 6561 / 3*a 3*b\ | | / / 6561 / 3*a 3*b\ | / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | |\/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / 81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /|| / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | |\/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / 81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /||| | / / 6561 / 3*a 3*b\ | | / / 6561 / 3*a 3*b\ | / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | |\/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / 81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /|| / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | |\/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / 81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /||
| |/ ___\ / / ---- - 4*|- --- - ---| | |/ ___\ / / ---- - 4*|- --- - ---| | / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| |atan2|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| |atan2|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| |/ ___\ / / ---- - 4*|- --- - ---| | |/ ___\ / / ---- - 4*|- --- - ---| | / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| |atan2|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| |atan2|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
| || 1 I*\/ 3 | / 81 \/ 4 \ 8 8 / | || 1 I*\/ 3 | / 81 \/ 4 \ 8 8 / | / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | \ 2 4 2 /| ___ / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | \ 2 4 2 /|| || 1 I*\/ 3 | / 81 \/ 4 \ 8 8 / | || 1 I*\/ 3 | / 81 \/ 4 \ 8 8 / | / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | \ 2 4 2 /| ___ / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | \ 2 4 2 /|
| ||- - - -------|*3 / -- + ------------------------------ | ||- - - -------|*3 / -- + ------------------------------ | 6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| ||- - - -------|*3 / -- + ------------------------------ | ||- - - -------|*3 / -- + ------------------------------ | 6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| \\ 2 2 / \/ 4 2 / \\ 2 2 / \/ 4 2 / \/ \4 2 / 4 \ 3 / \/ \4 2 / 4 \ 3 /| \\ 2 2 / \/ 4 2 / \\ 2 2 / \/ 4 2 / \/ \4 2 / 4 \ 3 / \/ \4 2 / 4 \ 3 /
x2 = I*|- --------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\ 3 3 6 6 / 3 3 6 6
$$x_{2} = - \frac{\sqrt{3} \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{6} + \frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{6} - \frac{\left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{\frac{6561}{4} - 4 \left(- \frac{3 a}{8} - \frac{3 b}{8}\right)^{3}}}{2} + \frac{81}{4}}}\right)}}{3} + \frac{\left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{\frac{6561}{4} - 4 \left(- \frac{3 a}{8} - \frac{3 b}{8}\right)^{3}}}{2} + \frac{81}{4}}}\right)}}{3} + i \left(\frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{6} + \frac{\sqrt{3} \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{6} - \frac{\left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{\frac{6561}{4} - 4 \left(- \frac{3 a}{8} - \frac{3 b}{8}\right)^{3}}}{2} + \frac{81}{4}}}\right)}}{3} - \frac{\left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{\frac{6561}{4} - 4 \left(- \frac{3 a}{8} - \frac{3 b}{8}\right)^{3}}}{2} + \frac{81}{4}}}\right)}}{3}\right)$$
/ / 3*im(a) 3*im(b)\ / 1 \ / 3*re(a) 3*re(b)\ / 1 \ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\\ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\\\ / 3*re(a) 3*re(b)\ / 1 \ / 3*im(a) 3*im(b)\ / 1 \ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\\ __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\\
| |- ------- - -------|*re|-------------------------------------------------------------| |- ------- - -------|*im|-------------------------------------------------------------| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|||| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||||| |- ------- - -------|*re|-------------------------------------------------------------| |- ------- - -------|*im|-------------------------------------------------------------| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|||| / 2 | | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||||
| \ 8 8 / | _____________________________________| \ 8 8 / | _____________________________________| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||||| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||||| \ 8 8 / | _____________________________________| \ 8 8 / | _____________________________________| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||||| / / ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\\ ______________________________________________________________________________________________________________________________________________________________________ / / 3 2 3 2 \\ | | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||||
| | / _________________________ | | / _________________________ | / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //||| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|||| | / _________________________ | | / _________________________ | / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //||| / | / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\||| / 2 2 | | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ 6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\|| | | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|||
| | / / 3 | | / / 3 | / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|||| | / / 3 | | / / 3 | / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|||| / / 3 2 \ / 3 2 \ |atan2|- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|, ---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------||| | |4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|||
| | / / 6561 / 3*a 3*b\ | | / / 6561 / 3*a 3*b\ | / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | |\/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / 81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /|| / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | |\/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / 81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /||| | / / 6561 / 3*a 3*b\ | | / / 6561 / 3*a 3*b\ | / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | |\/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / 81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /|| / | / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| | \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //|| / | /3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\| |6561 / 3*re(a) 3*re(b)\ / 3*im(a) 3*im(b)\ / 3*re(a) 3*re(b)\| 2| \ \ 8 8 / \ 8 8 / \ 8 8 / 4 \ 8 8 / \ 8 8 / \ 8 8 //| | |\/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / 81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /||
| |/ ___\ / / ---- - 4*|- --- - ---| | |/ ___\ / / ---- - 4*|- --- - ---| | / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| |atan2|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| |atan2|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| |/ ___\ / / ---- - 4*|- --- - ---| | |/ ___\ / / ---- - 4*|- --- - ---| | / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| |atan2|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / |- 4*|------- + -------| - 12*|- ------- - -------| *|- ------- - -------|| + |---- - 4*|- ------- - -------| + 12*|- ------- - -------| *|- ------- - -------|| *sin |--------------------------------------------------------------------------------------------------------------------------------------------------------------------| |atan2|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
| || 1 I*\/ 3 | / 81 \/ 4 \ 8 8 / | || 1 I*\/ 3 | / 81 \/ 4 \ 8 8 / | / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | \ 2 4 2 /| ___ / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | \ 2 4 2 /|| || 1 I*\/ 3 | / 81 \/ 4 \ 8 8 / | || 1 I*\/ 3 | / 81 \/ 4 \ 8 8 / | / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | \ 2 4 2 /| ___ / |81 \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 /| \/ \ \ 8 8 / \ 8 8 / \ 8 8 // \ 4 \ 8 8 / \ 8 8 / \ 8 8 // \ 2 / | \ 2 4 2 /|
| ||- - + -------|*3 / -- + ------------------------------ | ||- - + -------|*3 / -- + ------------------------------ | 6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| ||- - + -------|*3 / -- + ------------------------------ | ||- - + -------|*3 / -- + ------------------------------ | 6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| \\ 2 2 / \/ 4 2 / \\ 2 2 / \/ 4 2 / \/ \4 2 / 4 \ 3 / \/ \4 2 / 4 \ 3 /| \\ 2 2 / \/ 4 2 / \\ 2 2 / \/ 4 2 / \/ \4 2 / 4 \ 3 / \/ \4 2 / 4 \ 3 /
x3 = I*|- --------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\ 3 3 6 6 / 3 3 6 6
$$x_{3} = \frac{\sqrt{3} \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{6} + \frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{6} - \frac{\left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{\frac{6561}{4} - 4 \left(- \frac{3 a}{8} - \frac{3 b}{8}\right)^{3}}}{2} + \frac{81}{4}}}\right)}}{3} + \frac{\left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{\frac{6561}{4} - 4 \left(- \frac{3 a}{8} - \frac{3 b}{8}\right)^{3}}}{2} + \frac{81}{4}}}\right)}}{3} + i \left(\frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{6} - \frac{\sqrt{3} \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4}\right)^{2} + \frac{\sqrt{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{4}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2},\frac{\sqrt[4]{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3}\right)^{2} + \left(- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{2} \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) - 4 \left(\frac{3 \operatorname{im}{\left(a\right)}}{8} + \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{3},- 4 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right)^{3} + 12 \left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right)^{2} + \frac{6561}{4} \right)}}{2} \right)}}{2} + \frac{81}{4} \right)}}{3} \right)}}{6} - \frac{\left(- \frac{3 \operatorname{re}{\left(a\right)}}{8} - \frac{3 \operatorname{re}{\left(b\right)}}{8}\right) \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{\frac{6561}{4} - 4 \left(- \frac{3 a}{8} - \frac{3 b}{8}\right)^{3}}}{2} + \frac{81}{4}}}\right)}}{3} - \frac{\left(- \frac{3 \operatorname{im}{\left(a\right)}}{8} - \frac{3 \operatorname{im}{\left(b\right)}}{8}\right) \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{\frac{6561}{4} - 4 \left(- \frac{3 a}{8} - \frac{3 b}{8}\right)^{3}}}{2} + \frac{81}{4}}}\right)}}{3}\right)$$
x3 = sqrt(3)*((((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*cos(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2 + 81/4)^2 + sqrt((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)*sin(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)^2/4)^(1/6)*sin(atan2(((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*sin(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2, ((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*cos(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2 + 81/4)/3)/6 + ((((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*cos(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2 + 81/4)^2 + sqrt((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)*sin(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)^2/4)^(1/6)*cos(atan2(((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*sin(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2, ((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*cos(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2 + 81/4)/3)/6 - (-3*re(a)/8 - 3*re(b)/8)*re(1/((-1/2 + sqrt(3)*i/2)*(sqrt(6561/4 - 4*(-3*a/8 - 3*b/8)^3)/2 + 81/4)^(1/3)))/3 + (-3*im(a)/8 - 3*im(b)/8)*im(1/((-1/2 + sqrt(3)*i/2)*(sqrt(6561/4 - 4*(-3*a/8 - 3*b/8)^3)/2 + 81/4)^(1/3)))/3 + i*(((((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*cos(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2 + 81/4)^2 + sqrt((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)*sin(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)^2/4)^(1/6)*sin(atan2(((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*sin(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2, ((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*cos(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2 + 81/4)/3)/6 - sqrt(3)*((((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*cos(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2 + 81/4)^2 + sqrt((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)*sin(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)^2/4)^(1/6)*cos(atan2(((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*sin(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2, ((-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3)^2 + (-4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)^2)^(1/4)*cos(atan2(-12*(-3*re(a)/8 - 3*re(b)/8)^2*(-3*im(a)/8 - 3*im(b)/8) - 4*(3*im(a)/8 + 3*im(b)/8)^3, -4*(-3*re(a)/8 - 3*re(b)/8)^3 + 12*(-3*re(a)/8 - 3*re(b)/8)*(-3*im(a)/8 - 3*im(b)/8)^2 + 6561/4)/2)/2 + 81/4)/3)/6 - (-3*re(a)/8 - 3*re(b)/8)*im(1/((-1/2 + sqrt(3)*i/2)*(sqrt(6561/4 - 4*(-3*a/8 - 3*b/8)^3)/2 + 81/4)^(1/3)))/3 - (-3*im(a)/8 - 3*im(b)/8)*re(1/((-1/2 + sqrt(3)*i/2)*(sqrt(6561/4 - 4*(-3*a/8 - 3*b/8)^3)/2 + 81/4)^(1/3)))/3))