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- La ecuación:
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Ecuación 16*x^3+25*x=0
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Ecuación x+(x*3)=168
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Ecuación x^2/(x^2-9)=(12-x)/(x^2-9)
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Ecuación x^3+3*x^2=16*x+48
- Expresar {x} en función de y en la ecuación:
- 6*x+4*y=15
- -4*x+4*y=-9
- 3*x-12*y=-14
- 10*x-9*y=-10
- Límite de la función:
- f*x
- Derivada de:
- f*x
- Integral de d{x}:
- f*x
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Expresiones idénticas
- f*x=- doce *x+x^ tres - siete
- f multiplicar por x es igual a menos 12 multiplicar por x más x al cubo menos 7
- f multiplicar por x es igual a menos doce multiplicar por x más x en el grado tres menos siete
- f*x=-12*x+x3-7
- f*x=-12*x+x³-7
- f*x=-12*x+x en el grado 3-7
- fx=-12x+x^3-7
- fx=-12x+x3-7
-
Expresiones semejantes
- f*(x)=a
- x.diff(x)=y
- x.diff(x)=3*x+y
- f*x=+12*x+x^3-7
- f*x=-12*x-x^3-7
- f*(x)=sin(x)
- f*(x)=l
- f*x=-12*x+x^3+7
f*x=-12*x+x^3-7 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Teorema de Cardano-Vieta
reescribamos la ecuación
$$f x = \left(x^{3} - 12 x\right) - 7$$
de
$$a x^{3} + b x^{2} + c x + d = 0$$
como ecuación cúbica reducida
$$x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0$$
$$- f x + x^{3} - 12 x - 7 = 0$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = - f - 12$$
$$v = \frac{d}{a}$$
$$v = -7$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = - f - 12$$
$$x_{1} x_{2} x_{3} = -7$$
$$f x = \left(x^{3} - 12 x\right) - 7$$
de
$$a x^{3} + b x^{2} + c x + d = 0$$
como ecuación cúbica reducida
$$x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0$$
$$- f x + x^{3} - 12 x - 7 = 0$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = - f - 12$$
$$v = \frac{d}{a}$$
$$v = -7$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = - f - 12$$
$$x_{1} x_{2} x_{3} = -7$$
Gráfica
Respuesta rápida
[src]
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| | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| | | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----|||||
| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| | _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||||
| / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| | / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||||
| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| | / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|||
| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| | / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|||
| / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| / re(f)\ | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| | / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| / re(f)\ | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //|
| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| |-4 - -----|*sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*im(f)| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| |-4 - -----|*cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| im(f)*sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| \ 3 / \ 3 / \ 3 / | / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| \ 3 / \ 3 / \ 3 /
x1 = I*|6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|\/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 / _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________| \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 / _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
| / 2 / 2 | / 2 / 2
| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\
| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----|||
| / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||
| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| | / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||
| / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /|
| 6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| 3*6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| | 6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| 3*6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------|
\ \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / / \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 /
$$x_{1} = \sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)} + i \left(\sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)} + \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{\sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}}} + \frac{\cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)} \operatorname{im}{\left(f\right)}}{3 \sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}}}\right) - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{\sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}}} + \frac{\sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)} \operatorname{im}{\left(f\right)}}{3 \sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}}}$$
/ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\
| / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| / 1 \ / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----|||||| / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| / 1 \ / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----|||||
| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| im(f)*re|-------------------------------------------------| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||||| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| im(f)*im|-------------------------------------------------| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||||
| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| | ___________________________| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||||| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| | ___________________________| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||||
| / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| | / ________________ | / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|||| / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| | / ________________ | / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|||
| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| |/ ___\ / / 3 | / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|||| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| |/ ___\ / / 3 | / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|||
| / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| || 1 I*\/ 3 | / 7 / 49 / f\ | ___ / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //|| / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| || 1 I*\/ 3 | / 7 / 49 / f\ | ___ / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //|
| 6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| ||- - - -------|*3 / - + / -- + |-4 - -| | \/ 3 *6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| ||- - - -------|*3 / - + / -- + |-4 - -| | \/ 3 *6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| / re(f)\ / 1 \ \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 / \\ 2 2 / \/ 2 \/ 4 \ 3/ / \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 /| / re(f)\ / 1 \ \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 / \\ 2 2 / \/ 2 \/ 4 \ 3/ / \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 /
x2 = I*|- |-4 - -----|*im|-------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - |-4 - -----|*re|-------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| \ 3 / | ___________________________| 2 3 2 | \ 3 / | ___________________________| 2 3 2
| | / ________________ | | | / ________________ |
| |/ ___\ / / 3 | | |/ ___\ / / 3 |
| || 1 I*\/ 3 | / 7 / 49 / f\ | | || 1 I*\/ 3 | / 7 / 49 / f\ |
| ||- - - -------|*3 / - + / -- + |-4 - -| | | ||- - - -------|*3 / - + / -- + |-4 - -| |
\ \\ 2 2 / \/ 2 \/ 4 \ 3/ / / \\ 2 2 / \/ 2 \/ 4 \ 3/ /
$$x_{2} = \frac{\sqrt{3} \sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{2} - \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\sqrt{\left(- \frac{f}{3} - 4\right)^{3} + \frac{49}{4}} + \frac{7}{2}}}\right)} + i \left(- \frac{\sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{2} - \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\sqrt{\left(- \frac{f}{3} - 4\right)^{3} + \frac{49}{4}} + \frac{7}{2}}}\right)} + \frac{\operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\sqrt{\left(- \frac{f}{3} - 4\right)^{3} + \frac{49}{4}} + \frac{7}{2}}}\right)} \operatorname{im}{\left(f\right)}}{3}\right) - \frac{\operatorname{im}{\left(f\right)} \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\sqrt{\left(- \frac{f}{3} - 4\right)^{3} + \frac{49}{4}} + \frac{7}{2}}}\right)}}{3}$$
/ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / _______________________________________________________________________________ / / 2 / re(f)\\\ _______________________________________________________________________________ / / 2 / re(f)\\\\\
| / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| / 1 \ / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----|||||| / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----||||| / 1 \ / 2 | | / 2 | | 3 2 3 im (f)*|-4 - -----||| / 2 | | 3 2 3 im (f)*|-4 - -----|||||
| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| im(f)*re|-------------------------------------------------| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||||| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|||| im(f)*im|-------------------------------------------------| / / _______________________________________________________________________________ / / 2 / re(f)\\\\ _______________________________________________________________________________ / / 2 / re(f)\\\ | | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||||
| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| | ___________________________| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||||| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|||| | ___________________________| / | / 2 | | 3 2 3 im (f)*|-4 - -----|||| / 2 | | 3 2 3 im (f)*|-4 - -----||| | | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||||
| / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| | / ________________ | / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|||| / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /||| | / ________________ | / | / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /||| / 2 / 2 / re(f)\\ | |im (f) / re(f)\ 49 / re(f)\ \ 3 /|| | | / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /| 7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|||
| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| |/ ___\ / / 3 | / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|||| / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------||| |/ ___\ / / 3 | / | / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------||| / / 3 2 \ | 3 im (f)*|-4 - -----|| |atan2|------ - |-4 - -----| *im(f), -- + |-4 - -----| - -------------------|| |atan2|4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin|-----------------------------------------------------------------------------|, - + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|||
| / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| || 1 I*\/ 3 | / 7 / 49 / f\ | ___ / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //|| / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //| || 1 I*\/ 3 | / 7 / 49 / f\ | ___ / |7 / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| | \ 27 \ 3 / 4 \ 3 / 3 /|| / |im (f) / re(f)\ | |49 / re(f)\ \ 3 /| 2| \ 27 \ 3 / 4 \ 3 / 3 /| | \\/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / 2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 //|
| 6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| ||- - + -------|*3 / - + / -- + |-4 - -| | \/ 3 *6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| ||- - + -------|*3 / - + / -- + |-4 - -| | \/ 3 *6 / |- + 4 / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *cos|-----------------------------------------------------------------------------|| + / |------ - |-4 - -----| *im(f)| + |-- + |-4 - -----| - -------------------| *sin |-----------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| / re(f)\ / 1 \ \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 / \\ 2 2 / \/ 2 \/ 4 \ 3/ / \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 /| / re(f)\ / 1 \ \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 / \\ 2 2 / \/ 2 \/ 4 \ 3/ / \/ \2 \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 // \/ \ 27 \ 3 / / \4 \ 3 / 3 / \ 2 / \ 3 /
x3 = I*|- |-4 - -----|*im|-------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - |-4 - -----|*re|-------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| \ 3 / | ___________________________| 2 3 2 | \ 3 / | ___________________________| 2 3 2
| | / ________________ | | | / ________________ |
| |/ ___\ / / 3 | | |/ ___\ / / 3 |
| || 1 I*\/ 3 | / 7 / 49 / f\ | | || 1 I*\/ 3 | / 7 / 49 / f\ |
| ||- - + -------|*3 / - + / -- + |-4 - -| | | ||- - + -------|*3 / - + / -- + |-4 - -| |
\ \\ 2 2 / \/ 2 \/ 4 \ 3/ / / \\ 2 2 / \/ 2 \/ 4 \ 3/ /
$$x_{3} = - \frac{\sqrt{3} \sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{2} - \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\sqrt{\left(- \frac{f}{3} - 4\right)^{3} + \frac{49}{4}} + \frac{7}{2}}}\right)} + i \left(- \frac{\sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{2} + \frac{\sqrt{3} \sqrt[6]{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2}\right)^{2} + \sqrt{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)},\sqrt[4]{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27}\right)^{2} + \left(\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{2} \operatorname{im}{\left(f\right)} + \frac{\left(\operatorname{im}{\left(f\right)}\right)^{3}}{27},\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right)^{3} - \frac{\left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \left(\operatorname{im}{\left(f\right)}\right)^{2}}{3} + \frac{49}{4} \right)}}{2} \right)} + \frac{7}{2} \right)}}{3} \right)}}{2} - \left(- \frac{\operatorname{re}{\left(f\right)}}{3} - 4\right) \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\sqrt{\left(- \frac{f}{3} - 4\right)^{3} + \frac{49}{4}} + \frac{7}{2}}}\right)} + \frac{\operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\sqrt{\left(- \frac{f}{3} - 4\right)^{3} + \frac{49}{4}} + \frac{7}{2}}}\right)} \operatorname{im}{\left(f\right)}}{3}\right) - \frac{\operatorname{im}{\left(f\right)} \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\sqrt{\left(- \frac{f}{3} - 4\right)^{3} + \frac{49}{4}} + \frac{7}{2}}}\right)}}{3}$$
x3 = -sqrt(3)*((((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*cos(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2) + 7/2)^2 + sqrt((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)*sin(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2)^2)^(1/6)*sin(atan2(((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*sin(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2), ((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*cos(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2) + 7/2)/3)/2 - ((((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*cos(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2) + 7/2)^2 + sqrt((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)*sin(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2)^2)^(1/6)*cos(atan2(((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*sin(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2), ((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*cos(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2) + 7/2)/3)/2 - (-re(f)/3 - 4)*re(1/((-1/2 + sqrt(3)*i/2)*(sqrt((-f/3 - 4)^3 + 49/4) + 7/2)^(1/3))) + i*(-((((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*cos(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2) + 7/2)^2 + sqrt((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)*sin(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2)^2)^(1/6)*sin(atan2(((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*sin(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2), ((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*cos(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2) + 7/2)/3)/2 + sqrt(3)*((((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*cos(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2) + 7/2)^2 + sqrt((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)*sin(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2)^2)^(1/6)*cos(atan2(((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*sin(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2), ((-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27)^2 + ((-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)^2)^(1/4)*cos(atan2(-(-re(f)/3 - 4)^2*im(f) + im(f)^3/27, (-re(f)/3 - 4)^3 - (-re(f)/3 - 4)*im(f)^2/3 + 49/4)/2) + 7/2)/3)/2 - (-re(f)/3 - 4)*im(1/((-1/2 + sqrt(3)*i/2)*(sqrt((-f/3 - 4)^3 + 49/4) + 7/2)^(1/3))) + re(1/((-1/2 + sqrt(3)*i/2)*(sqrt((-f/3 - 4)^3 + 49/4) + 7/2)^(1/3)))*im(f)/3) - im(f)*im(1/((-1/2 + sqrt(3)*i/2)*(sqrt((-f/3 - 4)^3 + 49/4) + 7/2)^(1/3)))/3)