Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación 3^x=7
- Ecuación (x+20)*(-x+10)=0
-
Ecuación 9(x-1)=x+15
-
Ecuación 12/(x+3)=-6/7
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -17*x-15*y=-17
- -9*x+11*y=9
-
Expresiones idénticas
- ((x^ dos)+(y^ dos))^ dos / nueve =(x^ dos)-(y^ dos)
- ((x al cuadrado ) más (y al cuadrado )) al cuadrado dividir por 9 es igual a (x al cuadrado ) menos (y al cuadrado )
- ((x en el grado dos) más (y en el grado dos)) en el grado dos dividir por nueve es igual a (x en el grado dos) menos (y en el grado dos)
- ((x2)+(y2))2/9=(x2)-(y2)
- x2+y22/9=x2-y2
- ((x²)+(y²))²/9=(x²)-(y²)
- ((x en el grado 2)+(y en el grado 2)) en el grado 2/9=(x en el grado 2)-(y en el grado 2)
- x^2+y^2^2/9=x^2-y^2
- ((x^2)+(y^2))^2 dividir por 9=(x^2)-(y^2)
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Expresiones semejantes
- ((x^2)-(y^2))^2/9=(x^2)-(y^2)
- ((x^2)+(y^2))^2/9=(x^2)+(y^2)
((x^2)+(y^2))^2/9=(x^2)-(y^2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
/ 2 2\
\x + y / 2 2
---------- = x - y
9
$$\frac{\left(x^{2} + y^{2}\right)^{2}}{9} = x^{2} - y^{2}$$
Gráfica
Suma y producto de raíces
[src]
suma
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/ 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||
/ / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||
/ | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||
/ | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||
/ | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------||
/ | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|
- 4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + - 4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 /
$$\left(i \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} + \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} - \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} - \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} + \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}\right)\right)\right)$$
=
0
$$0$$
producto
/ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\\ / ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\\ / ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\\ / ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\\ | / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||| | / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||| | / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||| | / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||| | / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||| | / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||| | / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||| | / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||| | / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||| | / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||| | / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||| | / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||| | / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||| | / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||| | / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||| | / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||| | / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------||| | / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------||| | / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------||| | / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------||| | / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|| | / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|| | / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|| | / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|| |- 4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|- 4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| \ \/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 // \\/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 // \ \/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 // \\/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} - \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} + \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}\right) \left(- i \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} - \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} + \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}\right)$$
=
/ / 2 2 \ / 2 2 \\ / / 2 2 \ / 2 2 \\
| ________________________________________________ -I*atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/ ________________________________________________ I*atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| | ________________________________________________ -I*atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/ ________________________________________________ I*atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | / 2 / / 2 2 \\ --------------------------------------------------- / 2 / / 2 2 \\ -------------------------------------------------| | / 2 / / 2 2 \\ --------------------------------------------------- / 2 / / 2 2 \\ -------------------------------------------------|
/ 2 2 / 2 2 | 4 / / 2 2 \ 2 2 | I*atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 2 4 / / 2 2 \ 2 2 | -I*atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 2 | | 4 / / 2 2 \ 2 2 | I*atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 2 4 / / 2 2 \ 2 2 | -I*atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 2 |
/ / ________________________________________________ \ / ________________________________________________ \ / / ________________________________________________ \ / ________________________________________________ \ | 3*I*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *\1 - e /*e 9 2 2 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *\1 + e /*e | | 3*I*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *\1 - e /*e 9 2 2 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *\1 + e /*e |
/ | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| / | / 2 / / 2 2 \\ | | / 2 / / 2 2 \\| I*atan2|-2*im(y)*re(y) - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*atan2|-2*im(y)*re(y) + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -------------------------------------------------------------------------------------------------------------------------------------------------------------------|
/ | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 2 2 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| | | 2 2 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| \ 4 2 4 / \ 4 2 4 /
/ |-4*im(y)*re(y) + 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| + |9 - 2*re (y) + 2*im (y) + 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| * / |3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| + 4*im(y)*re(y)| + |-9 - 2*im (y) + 2*re (y) + 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| *e
\/ \ \ 2 // \ \ 2 // \/ \ \ 2 / / \ \ 2 //
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
4
$$\frac{\sqrt{\left(3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)} - 4 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)} - 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2}} \sqrt{\left(3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)} + 4 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 2 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 9\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- \frac{3 i \left(1 - e^{i \operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}\right) \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} e^{- \frac{i \operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2}}}{4} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \left(1 + e^{- i \operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}\right) \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} e^{\frac{i \operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2}}}{4} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)} + i \operatorname{atan_{2}}{\left(\frac{3 i \left(1 - e^{i \operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}\right) \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} e^{- \frac{i \operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2}}}{4} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \left(1 + e^{- i \operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}\right) \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} e^{\frac{i \operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2}}}{4} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}}{4}$$
sqrt((-4*im(y)*re(y) + 3*((9 - 8*re(y)^2 + 8*im(y)^2)^2 + 256*im(y)^2*re(y)^2)^(1/4)*sin(atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)/2))^2 + (9 - 2*re(y)^2 + 2*im(y)^2 + 3*((9 - 8*re(y)^2 + 8*im(y)^2)^2 + 256*im(y)^2*re(y)^2)^(1/4)*cos(atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)/2))^2)*sqrt((3*((9 - 8*re(y)^2 + 8*im(y)^2)^2 + 256*im(y)^2*re(y)^2)^(1/4)*sin(atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)/2) + 4*im(y)*re(y))^2 + (-9 - 2*im(y)^2 + 2*re(y)^2 + 3*((9 - 8*re(y)^2 + 8*im(y)^2)^2 + 256*im(y)^2*re(y)^2)^(1/4)*cos(atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)/2))^2)*exp(i*atan2(-2*im(y)*re(y) - 3*i*((9 - 8*re(y)^2 + 8*im(y)^2)^2 + 256*im(y)^2*re(y)^2)^(1/4)*(1 - exp(i*atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)))*exp(-i*atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)/2)/4, 9/2 + im(y)^2 - re(y)^2 - 3*((9 - 8*re(y)^2 + 8*im(y)^2)^2 + 256*im(y)^2*re(y)^2)^(1/4)*(1 + exp(-i*atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)))*exp(i*atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)/2)/4) + i*atan2(-2*im(y)*re(y) + 3*i*((9 - 8*re(y)^2 + 8*im(y)^2)^2 + 256*im(y)^2*re(y)^2)^(1/4)*(1 - exp(i*atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)))*exp(-i*atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)/2)/4, 9/2 + im(y)^2 - re(y)^2 + 3*((9 - 8*re(y)^2 + 8*im(y)^2)^2 + 256*im(y)^2*re(y)^2)^(1/4)*(1 + exp(-i*atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)))*exp(i*atan2(-16*im(y)*re(y), 9 - 8*re(y)^2 + 8*im(y)^2)/2)/4))/4
Respuesta rápida
[src]
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\
/ 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||
/ / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||
/ | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||
/ | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||
/ | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------||
/ | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|
x1 = - 4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 /
$$x_{1} = - i \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} - \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}$$
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\
/ 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||
/ / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||
/ | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||
/ | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||
/ | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------||
/ | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|
x2 = 4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2*im(y)*re(y) - -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) - -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 /
$$x_{2} = i \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} + \sqrt[4]{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- \frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}$$
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\
/ 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||
/ / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||
/ | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||
/ | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||
/ | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------||
/ | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|
x3 = - 4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 /
$$x_{3} = - i \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} - \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}$$
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ________________________________________________ ________________________________________________ \\
/ 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\|| / 2 2 | | / 2 / / 2 2 \\ / 2 / / 2 2 \\||
/ / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/||| / / ________________________________________________ \ / ________________________________________________ \ | | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/| 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|||
/ | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------||| / | / 2 / / 2 2 \\| | / 2 / / 2 2 \\| | | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------| 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|||
/ | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /|| / | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | 4 / / 2 2 \ 2 2 |atan2\-16*im(y)*re(y), 9 - 8*re (y) + 8*im (y)/|| | | \ 2 / 9 2 2 \ 2 /||
/ | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------|| / | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *sin|-----------------------------------------------|| | 3*\/ \9 - 8*re (y) + 8*im (y)/ + 256*im (y)*re (y) *cos|-----------------------------------------------|| |atan2|-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------, - + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------||
/ | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /| / | \ 2 /| |9 2 2 \ 2 /| | \ 2 2 2 /|
x4 = 4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2*im(y)*re(y) + -----------------------------------------------------------------------------------------------------------| + |- + im (y) - re (y) + -----------------------------------------------------------------------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ 2 / \2 2 / \ 2 / \/ \ 2 / \2 2 / \ 2 /
$$x_{4} = i \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)} + \sqrt[4]{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{3 \sqrt[4]{\left(- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{2} + 256 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 16 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},- 8 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 8 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \right)}}{2} \right)}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{9}{2} \right)}}{2} \right)}$$
x4 = i*((3*((-8*re(y)^2 + 8*im(y)^2 + 9)^2 + 256*re(y)^2*im(y)^2)^(1/4)*sin(atan2(-16*re(y)*im(y, -8*re(y)^2 + 8*im(y)^2 + 9)/2)/2 - 2*re(y)*im(y))^2 + (3*((-8*re(y)^2 + 8*im(y)^2 + 9)^2 + 256*re(y)^2*im(y)^2)^(1/4)*cos(atan2(-16*re(y)*im(y), -8*re(y)^2 + 8*im(y)^2 + 9)/2)/2 - re(y)^2 + im(y)^2 + 9/2)^2)^(1/4)*sin(atan2(3*((-8*re(y)^2 + 8*im(y)^2 + 9)^2 + 256*re(y)^2*im(y)^2)^(1/4)*sin(atan2(-16*re(y)*im(y), -8*re(y)^2 + 8*im(y)^2 + 9)/2)/2 - 2*re(y)*im(y), 3*((-8*re(y)^2 + 8*im(y)^2 + 9)^2 + 256*re(y)^2*im(y)^2)^(1/4)*cos(atan2(-16*re(y)*im(y), -8*re(y)^2 + 8*im(y)^2 + 9)/2)/2 - re(y)^2 + im(y)^2 + 9/2)/2) + ((3*((-8*re(y)^2 + 8*im(y)^2 + 9)^2 + 256*re(y)^2*im(y)^2)^(1/4)*sin(atan2(-16*re(y)*im(y), -8*re(y)^2 + 8*im(y)^2 + 9)/2)/2 - 2*re(y)*im(y))^2 + (3*((-8*re(y)^2 + 8*im(y)^2 + 9)^2 + 256*re(y)^2*im(y)^2)^(1/4)*cos(atan2(-16*re(y)*im(y), -8*re(y)^2 + 8*im(y)^2 + 9)/2)/2 - re(y)^2 + im(y)^2 + 9/2)^2)^(1/4)*cos(atan2(3*((-8*re(y)^2 + 8*im(y)^2 + 9)^2 + 256*re(y)^2*im(y)^2)^(1/4)*sin(atan2(-16*re(y)*im(y), -8*re(y)^2 + 8*im(y)^2 + 9)/2)/2 - 2*re(y)*im(y), 3*((-8*re(y)^2 + 8*im(y)^2 + 9)^2 + 256*re(y)^2*im(y)^2)^(1/4)*cos(atan2(-16*re(y)*im(y), -8*re(y)^2 + 8*im(y)^2 + 9)/2)/2 - re(y)^2 + im(y)^2 + 9/2)/2))