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Otras calculadoras
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- La ecuación:
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Ecuación x+7-x/3=3
-
Ecuación (x-1)/(5-x)=2/9
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Ecuación 2x-3=4
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Ecuación √(x^2-1)^3=2*x
- Expresar {x} en función de y en la ecuación:
- 5*x+4*y=-12
- 5*x-13*y=17
- 4*x-11*y=-2
- -3*x-20*y=-13
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Expresiones idénticas
- xy^ dos *d=(x^ tres +y^ tres)*d
- xy al cuadrado multiplicar por d es igual a (x al cubo más y al cubo ) multiplicar por d
- xy en el grado dos multiplicar por d es igual a (x en el grado tres más y en el grado tres) multiplicar por d
- xy2*d=(x3+y3)*d
- xy2*d=x3+y3*d
- xy²*d=(x³+y³)*d
- xy en el grado 2*d=(x en el grado 3+y en el grado 3)*d
- xy^2d=(x^3+y^3)d
- xy2d=(x3+y3)d
- xy2d=x3+y3d
- xy^2d=x^3+y^3d
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Expresiones semejantes
- xy^2*d=(x^3-y^3)*d
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Expresiones con funciones
- xy
- xy-2y
- xy-y-x^3=0
- xy+y=5
- Xy-y=xtany/x
- xy-7x-(x-4xy)=0
xy^2*d=(x^3+y^3)*d la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
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/ 2 \ / / 2 \ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________ \\\ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________ \\
| x | | | x | / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\||| / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\||
re|--------------------------------| | im|--------------------------------| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|||| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|||
| __________________________| | | __________________________| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|||| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|||
| / ____ | | | / ____ | / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /||| / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /||
| / 3 ____ / 6 | | | / 3 ____ / 6 | / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
| / 25*x 3*\/ 69 *\/ x | | | / 25*x 3*\/ 69 *\/ x | / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /|| / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /|
|3 / ----- + ---------------- | | |3 / ----- + ---------------- | 6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\\/ 2 2 / re(x) | \\/ 2 2 / im(x) \/ \ 2 2 2 / \ 2 2 2 / \ 3 /| \/ \ 2 2 2 / \ 2 2 2 / \ 3 /
y1 = - ------------------------------------ + ----- + I*|- ------------------------------------ + ----- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 3 \ 3 3 3 / 3
$$y_{1} = - \frac{\sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{3} + i \left(- \frac{\sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{3} + \frac{\operatorname{im}{\left(x\right)}}{3} - \frac{\operatorname{im}{\left(\frac{x^{2}}{\sqrt[3]{\frac{25 x^{3}}{2} + \frac{3 \sqrt{69} \sqrt{x^{6}}}{2}}}\right)}}{3}\right) + \frac{\operatorname{re}{\left(x\right)}}{3} - \frac{\operatorname{re}{\left(\frac{x^{2}}{\sqrt[3]{\frac{25 x^{3}}{2} + \frac{3 \sqrt{69} \sqrt{x^{6}}}{2}}}\right)}}{3}$$
/ 2 \ / / 2 \ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________ \\ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________ \\\ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________ \\ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________ \\
| x | | | x | / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\|| / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\||| / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\|| / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\||
re|------------------------------------------------| | im|------------------------------------------------| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/||| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|||| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/||| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|||
| __________________________| | | __________________________| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------||| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|||| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------||| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|||
| / ____ | | | / ____ | / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /|| / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /||| / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /|| / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /||
|/ ___\ / 3 ____ / 6 | | |/ ___\ / 3 ____ / 6 | / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
|| 1 I*\/ 3 | / 25*x 3*\/ 69 *\/ x | | || 1 I*\/ 3 | / 25*x 3*\/ 69 *\/ x | / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /| ___ / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /|| / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /| ___ / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /|
||- - - -------|*3 / ----- + ---------------- | | ||- - - -------|*3 / ----- + ---------------- | 6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\\ 2 2 / \/ 2 2 / re(x) | \\ 2 2 / \/ 2 2 / im(x) \/ \ 2 2 2 / \ 2 2 2 / \ 3 / \/ \ 2 2 2 / \ 2 2 2 / \ 3 /| \/ \ 2 2 2 / \ 2 2 2 / \ 3 / \/ \ 2 2 2 / \ 2 2 2 / \ 3 /
y2 = - ---------------------------------------------------- + ----- + I*|- ---------------------------------------------------- + ----- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 3 \ 3 3 6 6 / 6 6
$$y_{2} = - \frac{\sqrt{3} \sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{6} + \frac{\sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{6} + i \left(\frac{\sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{6} + \frac{\sqrt{3} \sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{6} + \frac{\operatorname{im}{\left(x\right)}}{3} - \frac{\operatorname{im}{\left(\frac{x^{2}}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25 x^{3}}{2} + \frac{3 \sqrt{69} \sqrt{x^{6}}}{2}}}\right)}}{3}\right) + \frac{\operatorname{re}{\left(x\right)}}{3} - \frac{\operatorname{re}{\left(\frac{x^{2}}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25 x^{3}}{2} + \frac{3 \sqrt{69} \sqrt{x^{6}}}{2}}}\right)}}{3}$$
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| x | | | x | / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\|| / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\||| / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\|| / 2 2 | | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\ / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\||
re|------------------------------------------------| | im|------------------------------------------------| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/||| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|||| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/||| / / ____________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________ \ | | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/| ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|||
| __________________________| | | __________________________| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------||| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|||| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------||| / | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | / 2 2 / / 3 3 5 5 6 6 2 4 4 2 \\| | | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------| 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|||
| / ____ | | | / ____ | / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /|| / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /||| / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /|| / | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | ____ 4 / / 3 3 5 5 \ / 6 6 2 4 4 2 \ |atan2\- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x), re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/|| | | 25*im (x) 75*re (x)*im(x) \ 2 / 25*re (x) 75*im (x)*re(x) \ 2 /||
|/ ___\ / 3 ____ / 6 | | |/ ___\ / 3 ____ / 6 | / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *sin|------------------------------------------------------------------------------------------------------------------|| | 3 2 3*\/ 69 *\/ \- 20*im (x)*re (x) + 6*im (x)*re(x) + 6*re (x)*im(x)/ + \re (x) - im (x) - 15*im (x)*re (x) + 15*im (x)*re (x)/ *cos|------------------------------------------------------------------------------------------------------------------|| |atan2|- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, --------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
|| 1 I*\/ 3 | / 25*x 3*\/ 69 *\/ x | | || 1 I*\/ 3 | / 25*x 3*\/ 69 *\/ x | / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /| ___ / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /|| / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /| ___ / | 25*im (x) 75*re (x)*im(x) \ 2 /| |25*re (x) 75*im (x)*re(x) \ 2 /| | \ 2 2 2 2 2 2 /|
||- - + -------|*3 / ----- + ---------------- | | ||- - + -------|*3 / ----- + ---------------- | 6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |- --------- + --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |--------- - --------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\\ 2 2 / \/ 2 2 / re(x) | \\ 2 2 / \/ 2 2 / im(x) \/ \ 2 2 2 / \ 2 2 2 / \ 3 / \/ \ 2 2 2 / \ 2 2 2 / \ 3 /| \/ \ 2 2 2 / \ 2 2 2 / \ 3 / \/ \ 2 2 2 / \ 2 2 2 / \ 3 /
y3 = - ---------------------------------------------------- + ----- + I*|- ---------------------------------------------------- + ----- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 3 \ 3 3 6 6 / 6 6
$$y_{3} = \frac{\sqrt{3} \sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{6} + \frac{\sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{6} + i \left(\frac{\sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{6} - \frac{\sqrt{3} \sqrt[6]{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2}\right)^{2} + \left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{75 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2} - \frac{25 \left(\operatorname{im}{\left(x\right)}\right)^{3}}{2},\frac{3 \sqrt{69} \sqrt[4]{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(6 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 20 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 6 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5},\left(\operatorname{re}{\left(x\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - \left(\operatorname{im}{\left(x\right)}\right)^{6} \right)}}{2} \right)}}{2} + \frac{25 \left(\operatorname{re}{\left(x\right)}\right)^{3}}{2} - \frac{75 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2} \right)}}{3} \right)}}{6} + \frac{\operatorname{im}{\left(x\right)}}{3} - \frac{\operatorname{im}{\left(\frac{x^{2}}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25 x^{3}}{2} + \frac{3 \sqrt{69} \sqrt{x^{6}}}{2}}}\right)}}{3}\right) + \frac{\operatorname{re}{\left(x\right)}}{3} - \frac{\operatorname{re}{\left(\frac{x^{2}}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25 x^{3}}{2} + \frac{3 \sqrt{69} \sqrt{x^{6}}}{2}}}\right)}}{3}$$
y3 = sqrt(3)*((3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*sin(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 75*re(x)^2*im(x)/2 - 25*im(x)^3/2)^2 + (3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*cos(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 25*re(x)^3/2 - 75*re(x)*im(x)^2/2)^2)^(1/6)*sin(atan2(3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*sin(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 75*re(x)^2*im(x)/2 - 25*im(x)^3/2, 3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*cos(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 25*re(x)^3/2 - 75*re(x)*im(x)^2/2)/3)/6 + ((3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*sin(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 75*re(x)^2*im(x)/2 - 25*im(x)^3/2)^2 + (3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*cos(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 25*re(x)^3/2 - 75*re(x)*im(x)^2/2)^2)^(1/6)*cos(atan2(3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*sin(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 75*re(x)^2*im(x)/2 - 25*im(x)^3/2, 3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*cos(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 25*re(x)^3/2 - 75*re(x)*im(x)^2/2)/3)/6 + i*(((3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*sin(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 75*re(x)^2*im(x)/2 - 25*im(x)^3/2)^2 + (3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*cos(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 25*re(x)^3/2 - 75*re(x)*im(x)^2/2)^2)^(1/6)*sin(atan2(3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*sin(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 75*re(x)^2*im(x)/2 - 25*im(x)^3/2, 3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*cos(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 25*re(x)^3/2 - 75*re(x)*im(x)^2/2)/3)/6 - sqrt(3)*((3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*sin(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 75*re(x)^2*im(x)/2 - 25*im(x)^3/2)^2 + (3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*cos(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 25*re(x)^3/2 - 75*re(x)*im(x)^2/2)^2)^(1/6)*cos(atan2(3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*sin(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 75*re(x)^2*im(x)/2 - 25*im(x)^3/2, 3*sqrt(69)*((6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5)^2 + (re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)^2)^(1/4)*cos(atan2(6*re(x)^5*im(x) - 20*re(x)^3*im(x)^3 + 6*re(x)*im(x)^5, re(x)^6 - 15*re(x)^4*im(x)^2 + 15*re(x)^2*im(x)^4 - im(x)^6)/2)/2 + 25*re(x)^3/2 - 75*re(x)*im(x)^2/2)/3)/6 + im(x)/3 - im(x^2/((-1/2 + sqrt(3)*i/2)*(25*x^3/2 + 3*sqrt(69)*sqrt(x^6)/2)^(1/3)))/3) + re(x)/3 - re(x^2/((-1/2 + sqrt(3)*i/2)*(25*x^3/2 + 3*sqrt(69)*sqrt(x^6)/2)^(1/3)))/3)