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Ecuación x/4+13=x+1
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación 5(x-2)^2=-6x-44
- Expresar {x} en función de y en la ecuación:
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Expresiones idénticas
- u= tres *(x^ dos -x*y^ dos)/(tres *x*y-y)
- u es igual a 3 multiplicar por (x al cuadrado menos x multiplicar por y al cuadrado ) dividir por (3 multiplicar por x multiplicar por y menos y)
- u es igual a tres multiplicar por (x en el grado dos menos x multiplicar por y en el grado dos) dividir por (tres multiplicar por x multiplicar por y menos y)
- u=3*(x2-x*y2)/(3*x*y-y)
- u=3*x2-x*y2/3*x*y-y
- u=3*(x²-x*y²)/(3*x*y-y)
- u=3*(x en el grado 2-x*y en el grado 2)/(3*x*y-y)
- u=3(x^2-xy^2)/(3xy-y)
- u=3(x2-xy2)/(3xy-y)
- u=3x2-xy2/3xy-y
- u=3x^2-xy^2/3xy-y
- u=3*(x^2-x*y^2) dividir por (3*x*y-y)
-
Expresiones semejantes
- u=3*(x^2-x*y^2)/(3*x*y+y)
- u=3*(x^2+x*y^2)/(3*x*y-y)
u=3*(x^2-x*y^2)/(3*x*y-y) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 2\
3*\x - x*y /
u = -------------
3*x*y - y
$$u = \frac{3 \left(x^{2} - x y^{2}\right)}{3 x y - y}$$
Solución detallada
Tenemos la ecuación:
$$u = \frac{3 \left(x^{2} - x y^{2}\right)}{3 x y - y}$$
cambiamos:
Saquemos el factor común fuera de paréntesis
$$- \frac{- 3 u x y + u y + 3 x^{2} - 3 x y^{2}}{y \left(3 x - 1\right)} = 0$$
denominador
$$y$$
entonces
Ya que la parte derecha de la ecuación es igual a cero, la solución de la ecuación será, si por lo menos uno de los factores en la parte izquierda de la ecuación es igual a cero.
Obtenemos ecuaciones
$$- 3 x^{2} + 3 x y^{2} + y \left(3 u x - u\right) = 0$$
resolvemos las ecuaciones obtenidas:
1.
$$- 3 x^{2} + 3 x y^{2} + y \left(3 u x - u\right) = 0$$
Abramos la expresión en la ecuación
$$- 3 x^{2} + 3 x y^{2} + y \left(3 u x - u\right) = 0$$
Obtenemos la ecuación cuadrática
$$3 u x y - u y - 3 x^{2} + 3 x y^{2} = 0$$
Es la ecuación de la forma
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$y_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$y_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = 3 x$$
$$b = 3 u x - u$$
$$c = - 3 x^{2}$$
, entonces
La ecuación tiene dos raíces.
o
$$y_{1} = \frac{- 3 u x + u + \sqrt{36 x^{3} + \left(3 u x - u\right)^{2}}}{6 x}$$
$$y_{2} = \frac{- 3 u x + u - \sqrt{36 x^{3} + \left(3 u x - u\right)^{2}}}{6 x}$$
pero
Entonces la respuesta definitiva es:
$$y_{1} = \frac{- 3 u x + u + \sqrt{36 x^{3} + \left(3 u x - u\right)^{2}}}{6 x}$$
$$y_{2} = \frac{- 3 u x + u - \sqrt{36 x^{3} + \left(3 u x - u\right)^{2}}}{6 x}$$
$$u = \frac{3 \left(x^{2} - x y^{2}\right)}{3 x y - y}$$
cambiamos:
Saquemos el factor común fuera de paréntesis
$$- \frac{- 3 u x y + u y + 3 x^{2} - 3 x y^{2}}{y \left(3 x - 1\right)} = 0$$
denominador
$$y$$
entonces
y no es igual a 0
Ya que la parte derecha de la ecuación es igual a cero, la solución de la ecuación será, si por lo menos uno de los factores en la parte izquierda de la ecuación es igual a cero.
Obtenemos ecuaciones
$$- 3 x^{2} + 3 x y^{2} + y \left(3 u x - u\right) = 0$$
resolvemos las ecuaciones obtenidas:
1.
$$- 3 x^{2} + 3 x y^{2} + y \left(3 u x - u\right) = 0$$
Abramos la expresión en la ecuación
$$- 3 x^{2} + 3 x y^{2} + y \left(3 u x - u\right) = 0$$
Obtenemos la ecuación cuadrática
$$3 u x y - u y - 3 x^{2} + 3 x y^{2} = 0$$
Es la ecuación de la forma
a*y^2 + b*y + c = 0
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$y_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$y_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = 3 x$$
$$b = 3 u x - u$$
$$c = - 3 x^{2}$$
, entonces
D = b^2 - 4 * a * c =
(-u + 3*u*x)^2 - 4 * (3*x) * (-3*x^2) = (-u + 3*u*x)^2 + 36*x^3
La ecuación tiene dos raíces.
y1 = (-b + sqrt(D)) / (2*a)
y2 = (-b - sqrt(D)) / (2*a)
o
$$y_{1} = \frac{- 3 u x + u + \sqrt{36 x^{3} + \left(3 u x - u\right)^{2}}}{6 x}$$
$$y_{2} = \frac{- 3 u x + u - \sqrt{36 x^{3} + \left(3 u x - u\right)^{2}}}{6 x}$$
pero
y no es igual a 0
Entonces la respuesta definitiva es:
$$y_{1} = \frac{- 3 u x + u + \sqrt{36 x^{3} + \left(3 u x - u\right)^{2}}}{6 x}$$
$$y_{2} = \frac{- 3 u x + u - \sqrt{36 x^{3} + \left(3 u x - u\right)^{2}}}{6 x}$$
Gráfica
Respuesta rápida
[src]
/ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \
| | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ |
| |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| |
| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*re(u) + 3*im(u)*im(x)|*im(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*im(u) - 3*im(x)*re(u)|*re(x)| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*re(u) + 3*im(u)*im(x)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*im(u) - 3*im(x)*re(u)|*im(x)
| \ \ 2 / / \ \ 2 / / | \ \ 2 / / \ \ 2 / /
y1 = I*|- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \
\ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / 6*\im (x) + re (x)/ 6*\im (x) + re (x)/
$$y_{1} = i \left(\frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} - 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} + 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} - 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} + 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}$$
/ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \
| | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ |
| |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| |
| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*im(u) + 3*im(x)*re(u)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*re(u) - 3*im(u)*im(x)|*im(x)| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*re(u) - 3*im(u)*im(x)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*im(u) + 3*im(x)*re(u)|*im(x)
| \ \ 2 / / \ \ 2 / / | \ \ 2 / / \ \ 2 / /
y2 = I*|- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \
\ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / 6*\im (x) + re (x)/ 6*\im (x) + re (x)/
$$y_{2} = i \left(- \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} + 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} - 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} + 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} - 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}$$
y2 = i*(-(((2*re(u)*im(u) + 108*re(x)^2*im(x) - 36*im(x)^3 - 6*im(u^2*x) + 9*im(u^2*x^2))^2 + (re(u)^2 + 36*re(x)^3 - 108*re(x)*im(x)^2 - 6*re(u^2*x) + 9*re(u^2*x^2) - im(u)^2)^2)^(1/4)*sin(atan2(2*re(u)*im(u) + 108*re(x)^2*im(x) - 36*im(x)^3 - 6*im(u^2*x) + 9*im(u^2*x^2, re(u)^2 + 36*re(x)^3 - 108*re(x)*im(x)^2 - 6*re(u^2*x) + 9*re(u^2*x^2) - im(u)^2)/2) + (3*re(x) - 1)*im(u) + 3*re(u)*im(x))*re(x)/(6*(re(x)^2 + im(x)^2)) + (((2*re(u)*im(u) + 108*re(x)^2*im(x) - 36*im(x)^3 - 6*im(u^2*x) + 9*im(u^2*x^2))^2 + (re(u)^2 + 36*re(x)^3 - 108*re(x)*im(x)^2 - 6*re(u^2*x) + 9*re(u^2*x^2) - im(u)^2)^2)^(1/4)*cos(atan2(2*re(u)*im(u) + 108*re(x)^2*im(x) - 36*im(x)^3 - 6*im(u^2*x) + 9*im(u^2*x^2), re(u)^2 + 36*re(x)^3 - 108*re(x)*im(x)^2 - 6*re(u^2*x) + 9*re(u^2*x^2) - im(u)^2)/2) + (3*re(x) - 1)*re(u) - 3*im(u)*im(x))*im(x)/(6*(re(x)^2 + im(x)^2))) - (((2*re(u)*im(u) + 108*re(x)^2*im(x) - 36*im(x)^3 - 6*im(u^2*x) + 9*im(u^2*x^2))^2 + (re(u)^2 + 36*re(x)^3 - 108*re(x)*im(x)^2 - 6*re(u^2*x) + 9*re(u^2*x^2) - im(u)^2)^2)^(1/4)*sin(atan2(2*re(u)*im(u) + 108*re(x)^2*im(x) - 36*im(x)^3 - 6*im(u^2*x) + 9*im(u^2*x^2), re(u)^2 + 36*re(x)^3 - 108*re(x)*im(x)^2 - 6*re(u^2*x) + 9*re(u^2*x^2) - im(u)^2)/2) + (3*re(x) - 1)*im(u) + 3*re(u)*im(x))*im(x)/(6*(re(x)^2 + im(x)^2)) - (((2*re(u)*im(u) + 108*re(x)^2*im(x) - 36*im(x)^3 - 6*im(u^2*x) + 9*im(u^2*x^2))^2 + (re(u)^2 + 36*re(x)^3 - 108*re(x)*im(x)^2 - 6*re(u^2*x) + 9*re(u^2*x^2) - im(u)^2)^2)^(1/4)*cos(atan2(2*re(u)*im(u) + 108*re(x)^2*im(x) - 36*im(x)^3 - 6*im(u^2*x) + 9*im(u^2*x^2), re(u)^2 + 36*re(x)^3 - 108*re(x)*im(x)^2 - 6*re(u^2*x) + 9*re(u^2*x^2) - im(u)^2)/2) + (3*re(x) - 1)*re(u) - 3*im(u)*im(x))*re(x)/(6*(re(x)^2 + im(x)^2)))
Suma y producto de raíces
[src]
suma
/ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ / / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*re(u) + 3*im(u)*im(x)|*im(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*im(u) - 3*im(x)*re(u)|*re(x)| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*re(u) + 3*im(u)*im(x)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*im(u) - 3*im(x)*re(u)|*im(x) | |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*im(u) + 3*im(x)*re(u)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*re(u) - 3*im(u)*im(x)|*im(x)| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*re(u) - 3*im(u)*im(x)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*im(u) + 3*im(x)*re(u)|*im(x) | \ \ 2 / / \ \ 2 / / | \ \ 2 / / \ \ 2 / / | \ \ 2 / / \ \ 2 / / | \ \ 2 / / \ \ 2 / / I*|- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + I*|- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ \ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ \ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / 6*\im (x) + re (x)/ 6*\im (x) + re (x)/
$$\left(i \left(\frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} - 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} + 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} - 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} + 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) + \left(i \left(- \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} + 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} - 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} + 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} - 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right)$$
=
/ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*re(u) + 3*im(u)*im(x)|*im(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*im(u) - 3*im(x)*re(u)|*re(x)| | |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*im(u) + 3*im(x)*re(u)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*re(u) - 3*im(u)*im(x)|*im(x)| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*re(u) - 3*im(u)*im(x)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*im(u) + 3*im(x)*re(u)|*im(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*re(u) + 3*im(u)*im(x)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*im(u) - 3*im(x)*re(u)|*im(x) | \ \ 2 / / \ \ 2 / / | | \ \ 2 / / \ \ 2 / / | \ \ 2 / / \ \ 2 / / \ \ 2 / / \ \ 2 / / I*|- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*|- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | / 2 2 \ / 2 2 \ | | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ / 2 2 \ / 2 2 \ \ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / \ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/
$$i \left(\frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} - 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} + 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) + i \left(- \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} + 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} - 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} - 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} + 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} + 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} - 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}$$
producto
/ / / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / / / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ / _____________________________________________________________________________________________________________________________________________________________ \ / _____________________________________________________________________________________________________________________________________________________________ \ \ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | / 2 2 / / 3 / 2\ / 2 2\ 2 2 2 / 2\ / 2 2\ 3 2 \\ | | | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | |4 / / 3 / 2\ / 2 2\ 2 \ / 2 2 / 2\ / 2 2\ 3 2 \ |atan2\- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x), re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/| | | | | |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*re(u) + 3*im(u)*im(x)|*im(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*im(u) - 3*im(x)*re(u)|*re(x)| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*re(u) + 3*im(u)*im(x)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| - (-1 + 3*re(x))*im(u) - 3*im(x)*re(u)|*im(x)| | | |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*im(u) + 3*im(x)*re(u)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*re(u) - 3*im(u)*im(x)|*im(x)| |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*re(u) - 3*im(u)*im(x)|*re(x) |\/ \- 36*im (x) - 6*im\x*u / + 9*im\u *x / + 2*im(u)*re(u) + 108*re (x)*im(x)/ + \re (u) - im (u) - 6*re\x*u / + 9*re\u *x / + 36*re (x) - 108*im (x)*re(x)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------| + (-1 + 3*re(x))*im(u) + 3*im(x)*re(u)|*im(x)| | | \ \ 2 / / \ \ 2 / / | \ \ 2 / / \ \ 2 / / | | | \ \ 2 / / \ \ 2 / / | \ \ 2 / / \ \ 2 / / | |I*|- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|I*|- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| | | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ | | | / 2 2 \ / 2 2 \ | / 2 2 \ / 2 2 \ | \ \ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / \ \ 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ / 6*\im (x) + re (x)/ 6*\im (x) + re (x)/ /
$$\left(i \left(\frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} - 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} + 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} - 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} - \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} + 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) \left(i \left(- \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} + 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} + \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} - 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right) - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{im}{\left(u\right)} + 3 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{im}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} + 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} - 36 \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 \operatorname{im}{\left(u^{2} x\right)} + 9 \operatorname{im}{\left(u^{2} x^{2}\right)},\left(\operatorname{re}{\left(u\right)}\right)^{2} + 36 \left(\operatorname{re}{\left(x\right)}\right)^{3} - 108 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 \operatorname{re}{\left(u^{2} x\right)} + 9 \operatorname{re}{\left(u^{2} x^{2}\right)} - \left(\operatorname{im}{\left(u\right)}\right)^{2} \right)}}{2} \right)} + \left(3 \operatorname{re}{\left(x\right)} - 1\right) \operatorname{re}{\left(u\right)} - 3 \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)}\right) \operatorname{re}{\left(x\right)}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)}\right)$$
=
/ 5 2 / 2 2\ 4 2 2 4 2 3 2 / 2\ 2 / 2\ 2 3 2 4 2 4 2 / 2 2\ 5 4 2 3 2 2 2 / 2\ 2 / 2 2\ 3 2 2 / 2\ 2 2 2 3 2 / 2\ 2 2 2 / 2 2\ 3 2 2 2 / 2 2\ 4 3 2 4 4 / 2 2\ 2 2 2 2 3 / 2\ 2 2 2 2 \
-\12*re (x) - 3*im (x)*re\u *x / - 3*im (x)*re (u) - 3*re (u)*re (x) - 2*im (u)*re (x) - 2*re (x)*re\x*u / + 2*im (x)*re\x*u / + 2*re (u)*re (x) + 3*im (u)*im (x) + 3*im (u)*re (x) + 3*re (x)*re\u *x / + 12*I*im (x) + 12*im (x)*re(x) + 24*im (x)*re (x) - 6*im (x)*re (u)*re (x) - 4*im(x)*im\x*u /*re(x) - 3*I*im (x)*im\u *x / - 2*I*im (x)*re (u) - 2*I*re (x)*im\x*u / - 2*im (u)*im (x)*re(x) + 2*I*im (u)*im (x) + 2*I*im (x)*im\x*u / + 2*im (x)*re (u)*re(x) + 3*I*re (x)*im\u *x / + 4*im (x)*im(u)*re(u) + 6*im (u)*im (x)*re (x) + 6*im(x)*im\u *x /*re(x) + 12*I*re (x)*im(x) + 24*I*im (x)*re (x) - 6*I*im (x)*im(u)*re(u) - 6*I*re (x)*im(u)*re(u) - 6*I*im(x)*re(x)*re\u *x / - 2*I*re (u)*re (x)*im(x) + 2*I*im (u)*re (x)*im(x) + 4*I*re (x)*im(u)*re(u) + 4*I*im(x)*re(x)*re\x*u / + 4*re (x)*im(u)*im(x)*re(u) - 12*I*im (x)*re (x)*im(u)*re(u) + 4*I*im (x)*im(u)*re(u)*re(x)/
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
4 4 2 2
12*im (x) + 12*re (x) + 24*im (x)*re (x)
$$- \frac{- 3 \left(\operatorname{re}{\left(u\right)}\right)^{2} \left(\operatorname{re}{\left(x\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(u\right)}\right)^{2} \left(\operatorname{re}{\left(x\right)}\right)^{3} - 6 \left(\operatorname{re}{\left(u\right)}\right)^{2} \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 i \left(\operatorname{re}{\left(u\right)}\right)^{2} \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} + 2 \left(\operatorname{re}{\left(u\right)}\right)^{2} \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 3 \left(\operatorname{re}{\left(u\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 2 i \left(\operatorname{re}{\left(u\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 6 i \operatorname{re}{\left(u\right)} \left(\operatorname{re}{\left(x\right)}\right)^{4} \operatorname{im}{\left(u\right)} + 4 i \operatorname{re}{\left(u\right)} \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(u\right)} - 12 i \operatorname{re}{\left(u\right)} \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(u\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \operatorname{re}{\left(u\right)} \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(u\right)} \operatorname{im}{\left(x\right)} + 4 i \operatorname{re}{\left(u\right)} \operatorname{re}{\left(x\right)} \operatorname{im}{\left(u\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 6 i \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 4 \operatorname{re}{\left(u\right)} \operatorname{im}{\left(u\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{5} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(u\right)}\right)^{2} + 12 i \left(\operatorname{re}{\left(x\right)}\right)^{4} \operatorname{im}{\left(x\right)} - 2 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(u\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 2 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(u^{2} x\right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{re}{\left(u^{2} x^{2}\right)} + 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(u\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 2 i \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(u\right)}\right)^{2} \operatorname{im}{\left(x\right)} + 24 i \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 2 i \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(u^{2} x\right)} + 3 i \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(u^{2} x^{2}\right)} + 4 i \operatorname{re}{\left(x\right)} \operatorname{re}{\left(u^{2} x\right)} \operatorname{im}{\left(x\right)} - 6 i \operatorname{re}{\left(x\right)} \operatorname{re}{\left(u^{2} x^{2}\right)} \operatorname{im}{\left(x\right)} - 2 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(u\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 4 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(u^{2} x\right)} + 6 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(u^{2} x^{2}\right)} + 2 \operatorname{re}{\left(u^{2} x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 3 \operatorname{re}{\left(u^{2} x^{2}\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(u\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 2 i \left(\operatorname{im}{\left(u\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 12 i \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2 i \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(u^{2} x\right)} - 3 i \left(\operatorname{im}{\left(x\right)}\right)^{2} \operatorname{im}{\left(u^{2} x^{2}\right)}}{12 \left(\operatorname{re}{\left(x\right)}\right)^{4} + 24 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 12 \left(\operatorname{im}{\left(x\right)}\right)^{4}}$$
-(12*re(x)^5 - 3*im(x)^2*re(u^2*x^2) - 3*im(x)^4*re(u)^2 - 3*re(u)^2*re(x)^4 - 2*im(u)^2*re(x)^3 - 2*re(x)^2*re(x*u^2) + 2*im(x)^2*re(x*u^2) + 2*re(u)^2*re(x)^3 + 3*im(u)^2*im(x)^4 + 3*im(u)^2*re(x)^4 + 3*re(x)^2*re(u^2*x^2) + 12*i*im(x)^5 + 12*im(x)^4*re(x) + 24*im(x)^2*re(x)^3 - 6*im(x)^2*re(u)^2*re(x)^2 - 4*im(x)*im(x*u^2)*re(x) - 3*i*im(x)^2*im(u^2*x^2) - 2*i*im(x)^3*re(u)^2 - 2*i*re(x)^2*im(x*u^2) - 2*im(u)^2*im(x)^2*re(x) + 2*i*im(u)^2*im(x)^3 + 2*i*im(x)^2*im(x*u^2) + 2*im(x)^2*re(u)^2*re(x) + 3*i*re(x)^2*im(u^2*x^2) + 4*im(x)^3*im(u)*re(u) + 6*im(u)^2*im(x)^2*re(x)^2 + 6*im(x)*im(u^2*x^2)*re(x) + 12*i*re(x)^4*im(x) + 24*i*im(x)^3*re(x)^2 - 6*i*im(x)^4*im(u)*re(u) - 6*i*re(x)^4*im(u)*re(u) - 6*i*im(x)*re(x)*re(u^2*x^2) - 2*i*re(u)^2*re(x)^2*im(x) + 2*i*im(u)^2*re(x)^2*im(x) + 4*i*re(x)^3*im(u)*re(u) + 4*i*im(x)*re(x)*re(x*u^2) + 4*re(x)^2*im(u)*im(x)*re(u) - 12*i*im(x)^2*re(x)^2*im(u)*re(u) + 4*i*im(x)^2*im(u)*re(u)*re(x))/(12*im(x)^4 + 12*re(x)^4 + 24*im(x)^2*re(x)^2)