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- La ecuación:
-
Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
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Ecuación x^2+4*x-32=0
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Ecuación 13/(x-5)=5/(x-13)
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
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Expresiones idénticas
- Sqrt(3x^(dos)- dos z^(dos)+ dos y^(dos)+ dos z-6y+((sqrt(2))/ cuatro)*x- cuarenta y uno)+sqrt(2x^(2)- cuatro *(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+ dieciséis)= cero
- Sqrt(3x en el grado (2) menos 2z en el grado (2) más 2y en el grado (2) más 2z menos 6y más (( raíz cuadrada de (2)) dividir por 4) multiplicar por x menos 41) más raíz cuadrada de (2x en el grado (2) menos 4 multiplicar por ( raíz cuadrada de (2)) multiplicar por ( coseno de ( número pi multiplicar por y) más coseno de ( número pi multiplicar por z)) multiplicar por x más 16) es igual a 0
- Sqrt(3x en el grado (dos) menos dos z en el grado (dos) más dos y en el grado (dos) más dos z menos 6y más (( raíz cuadrada de (2)) dividir por cuatro) multiplicar por x menos cuarenta y uno) más raíz cuadrada de (2x en el grado (2) menos cuatro multiplicar por ( raíz cuadrada de (2)) multiplicar por ( coseno de ( número pi multiplicar por y) más coseno de ( número pi multiplicar por z)) multiplicar por x más dieciséis) es igual a cero
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((√(2))/4)*x-41)+√(2x^(2)-4*(√(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x(2)-2z(2)+2y(2)+2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt3x2-2z2+2y2+2z-6y+sqrt2/4*x-41+sqrt2x2-4*sqrt2*cospi*y+cospi*z*x+16=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)x-41)+sqrt(2x^(2)-4(sqrt(2))(cos(piy)+cos(piz))x+16)=0
- Sqrt(3x(2)-2z(2)+2y(2)+2z-6y+((sqrt(2))/4)x-41)+sqrt(2x(2)-4(sqrt(2))(cos(piy)+cos(piz))x+16)=0
- Sqrt3x2-2z2+2y2+2z-6y+sqrt2/4x-41+sqrt2x2-4sqrt2cospiy+cospizx+16=0
- Sqrt3x^2-2z^2+2y^2+2z-6y+sqrt2/4x-41+sqrt2x^2-4sqrt2cospiy+cospizx+16=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=O
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2)) dividir por 4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
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Expresiones semejantes
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)*x-41)-sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x^(2)+2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y-((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)-2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x-16)=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)*x+41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)+4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x^(2)-2z^(2)-2y^(2)+2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z+6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0
- Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)-cos(pi*z))*x+16)=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
- Raíz cuadrada sqrt
- sqrt(1-x)=sqrt[3](x-2)
- sqrt(x)^1=0
- sqrt(x-2)+sqrt(x+6)=2
- sqrt(x-2)+sqrt(4-x)=x^2-6*x+11
- sqrt(5x+1)=sqrt(x+5)
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(x)-e^(-x)+x-1=0
- cos(2x)-3*cos(x)+2=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
- Coseno cos
- cos(x)+sin(3x)=0
- cos(x)=2*x
- cos(x)-e^(-x)+x-1=0
- cos(2x)-3*cos(x)+2=0
- cos^2x+cos^22*x-cos^23*x-cos^24*x=0
Sqrt(3x^(2)-2z^(2)+2y^(2)+2z-6y+((sqrt(2))/4)*x-41)+sqrt(2x^(2)-4*(sqrt(2))*(cos(pi*y)+cos(pi*z))*x+16)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
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/ ___ _______________________________________________
/ 2 2 2 \/ 2 / 2 ___
/ 3*x - 2*z + 2*y + 2*z - 6*y + -----*x - 41 + \/ 2*x - 4*\/ 2 *(cos(pi*y) + cos(pi*z))*x + 16 = 0
\/ 4
$$\sqrt{\left(2 x^{2} - x 4 \sqrt{2} \left(\cos{\left(\pi y \right)} + \cos{\left(\pi z \right)}\right)\right) + 16} + \sqrt{\left(x \frac{\sqrt{2}}{4} + \left(- 6 y + \left(2 z + \left(2 y^{2} + \left(3 x^{2} - 2 z^{2}\right)\right)\right)\right)\right) - 41} = 0$$
Gráfica
Respuesta rápida
[src]
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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 \\ |
___ | 4 / 2 / 2 2 2 2 2 2 2 2 2 2 2 2 \ |atan2\-64*im(z) + 192*im(y) + 512*im(cos(pi*y)*cos(pi*z)) - 128*im(y)*re(y) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 32*sin(pi*re(z))*sinh(pi*im(z)) + 128*im(z)*re(z) - 512*cos(pi*re(y))*cosh(pi*im(y))*sin(pi*re(y))*sinh(pi*im(y)) - 512*cos(pi*re(z))*cosh(pi*im(z))*sin(pi*re(z))*sinh(pi*im(z)), 2337 - 64*im (z) - 64*re (y) - 64*re(z) + 64*im (y) + 64*re (z) + 192*re(y) + 512*re(cos(pi*y)*cos(pi*z)) - 256*cosh (pi*im(y))*sin (pi*re(y)) - 256*cosh (pi*im(z))*sin (pi*re(z)) + 32*cos(pi*re(y))*cosh(pi*im(y)) + 32*cos(pi*re(z))*cosh(pi*im(z)) + 256*cos (pi*re(y))*sinh (pi*im(y)) + 256*cos (pi*re(z))*sinh (pi*im(z))/| | ___ |4 / 2 / 2 2 2 2 2 2 2 2 2 2 2 2 \ |atan2\-64*im(z) + 192*im(y) + 512*im(cos(pi*y)*cos(pi*z)) - 128*im(y)*re(y) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 32*sin(pi*re(z))*sinh(pi*im(z)) + 128*im(z)*re(z) - 512*cos(pi*re(y))*cosh(pi*im(y))*sin(pi*re(y))*sinh(pi*im(y)) - 512*cos(pi*re(z))*cosh(pi*im(z))*sin(pi*re(z))*sinh(pi*im(z)), 2337 - 64*im (z) - 64*re (y) - 64*re(z) + 64*im (y) + 64*re (z) + 192*re(y) + 512*re(cos(pi*y)*cos(pi*z)) - 256*cosh (pi*im(y))*sin (pi*re(y)) - 256*cosh (pi*im(z))*sin (pi*re(z)) + 32*cos(pi*re(y))*cosh(pi*im(y)) + 32*cos(pi*re(z))*cosh(pi*im(z)) + 256*cos (pi*re(y))*sinh (pi*im(y)) + 256*cos (pi*re(z))*sinh (pi*im(z))/| |
\/ 2 *|1 + \/ (-64*im(z) + 192*im(y) + 512*im(cos(pi*y)*cos(pi*z)) - 128*im(y)*re(y) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 32*sin(pi*re(z))*sinh(pi*im(z)) + 128*im(z)*re(z) - 512*cos(pi*re(y))*cosh(pi*im(y))*sin(pi*re(y))*sinh(pi*im(y)) - 512*cos(pi*re(z))*cosh(pi*im(z))*sin(pi*re(z))*sinh(pi*im(z))) + \2337 - 64*im (z) - 64*re (y) - 64*re(z) + 64*im (y) + 64*re (z) + 192*re(y) + 512*re(cos(pi*y)*cos(pi*z)) - 256*cosh (pi*im(y))*sin (pi*re(y)) - 256*cosh (pi*im(z))*sin (pi*re(z)) + 32*cos(pi*re(y))*cosh(pi*im(y)) + 32*cos(pi*re(z))*cosh(pi*im(z)) + 256*cos (pi*re(y))*sinh (pi*im(y)) + 256*cos (pi*re(z))*sinh (pi*im(z))/ *cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 16*cos(pi*re(y))*cosh(pi*im(y)) + 16*cos(pi*re(z))*cosh(pi*im(z))| I*\/ 2 *|\/ (-64*im(z) + 192*im(y) + 512*im(cos(pi*y)*cos(pi*z)) - 128*im(y)*re(y) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 32*sin(pi*re(z))*sinh(pi*im(z)) + 128*im(z)*re(z) - 512*cos(pi*re(y))*cosh(pi*im(y))*sin(pi*re(y))*sinh(pi*im(y)) - 512*cos(pi*re(z))*cosh(pi*im(z))*sin(pi*re(z))*sinh(pi*im(z))) + \2337 - 64*im (z) - 64*re (y) - 64*re(z) + 64*im (y) + 64*re (z) + 192*re(y) + 512*re(cos(pi*y)*cos(pi*z)) - 256*cosh (pi*im(y))*sin (pi*re(y)) - 256*cosh (pi*im(z))*sin (pi*re(z)) + 32*cos(pi*re(y))*cosh(pi*im(y)) + 32*cos(pi*re(z))*cosh(pi*im(z)) + 256*cos (pi*re(y))*sinh (pi*im(y)) + 256*cos (pi*re(z))*sinh (pi*im(z))/ *sin|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - 16*sin(pi*re(y))*sinh(pi*im(y)) - 16*sin(pi*re(z))*sinh(pi*im(z))|
\ \ 2 / / \ \ 2 / /
x1 = - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
8 8
$$x_{1} = - \frac{\sqrt{2} i \left(\sqrt[4]{\left(- 512 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 512 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 128 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 128 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 192 \operatorname{im}{\left(y\right)} - 64 \operatorname{im}{\left(z\right)} + 512 \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2} + \left(- 256 \sin^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 256 \sin^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 64 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 192 \operatorname{re}{\left(y\right)} + 64 \left(\operatorname{re}{\left(z\right)}\right)^{2} - 64 \operatorname{re}{\left(z\right)} + 512 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} + 64 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 64 \left(\operatorname{im}{\left(z\right)}\right)^{2} + 2337\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 512 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 512 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 128 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 128 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 192 \operatorname{im}{\left(y\right)} - 64 \operatorname{im}{\left(z\right)} + 512 \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)},- 256 \sin^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 256 \sin^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 64 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 192 \operatorname{re}{\left(y\right)} + 64 \left(\operatorname{re}{\left(z\right)}\right)^{2} - 64 \operatorname{re}{\left(z\right)} + 512 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} + 64 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 64 \left(\operatorname{im}{\left(z\right)}\right)^{2} + 2337 \right)}}{2} \right)} - 16 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 16 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)}\right)}{8} - \frac{\sqrt{2} \left(\sqrt[4]{\left(- 512 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 512 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 128 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 128 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 192 \operatorname{im}{\left(y\right)} - 64 \operatorname{im}{\left(z\right)} + 512 \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2} + \left(- 256 \sin^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 256 \sin^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 64 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 192 \operatorname{re}{\left(y\right)} + 64 \left(\operatorname{re}{\left(z\right)}\right)^{2} - 64 \operatorname{re}{\left(z\right)} + 512 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} + 64 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 64 \left(\operatorname{im}{\left(z\right)}\right)^{2} + 2337\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 512 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 512 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 128 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 128 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 192 \operatorname{im}{\left(y\right)} - 64 \operatorname{im}{\left(z\right)} + 512 \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)},- 256 \sin^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 256 \sin^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 64 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 192 \operatorname{re}{\left(y\right)} + 64 \left(\operatorname{re}{\left(z\right)}\right)^{2} - 64 \operatorname{re}{\left(z\right)} + 512 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} + 64 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 64 \left(\operatorname{im}{\left(z\right)}\right)^{2} + 2337 \right)}}{2} \right)} + 16 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 16 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 1\right)}{8}$$
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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 \\ |
___ | 4 / 2 / 2 2 2 2 2 2 2 2 2 2 2 2 \ |atan2\-64*im(z) + 192*im(y) + 512*im(cos(pi*y)*cos(pi*z)) - 128*im(y)*re(y) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 32*sin(pi*re(z))*sinh(pi*im(z)) + 128*im(z)*re(z) - 512*cos(pi*re(y))*cosh(pi*im(y))*sin(pi*re(y))*sinh(pi*im(y)) - 512*cos(pi*re(z))*cosh(pi*im(z))*sin(pi*re(z))*sinh(pi*im(z)), 1825 - 64*im (z) - 64*re (y) - 64*re(z) + 64*im (y) + 64*re (z) + 192*re(y) + 512*re(cos(pi*y)*cos(pi*z)) - 256*sin (pi*re(y))*sinh (pi*im(y)) - 256*sin (pi*re(z))*sinh (pi*im(z)) + 32*cos(pi*re(y))*cosh(pi*im(y)) + 32*cos(pi*re(z))*cosh(pi*im(z)) + 256*cos (pi*re(y))*cosh (pi*im(y)) + 256*cos (pi*re(z))*cosh (pi*im(z))/| | ___ |4 / 2 / 2 2 2 2 2 2 2 2 2 2 2 2 \ |atan2\-64*im(z) + 192*im(y) + 512*im(cos(pi*y)*cos(pi*z)) - 128*im(y)*re(y) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 32*sin(pi*re(z))*sinh(pi*im(z)) + 128*im(z)*re(z) - 512*cos(pi*re(y))*cosh(pi*im(y))*sin(pi*re(y))*sinh(pi*im(y)) - 512*cos(pi*re(z))*cosh(pi*im(z))*sin(pi*re(z))*sinh(pi*im(z)), 1825 - 64*im (z) - 64*re (y) - 64*re(z) + 64*im (y) + 64*re (z) + 192*re(y) + 512*re(cos(pi*y)*cos(pi*z)) - 256*sin (pi*re(y))*sinh (pi*im(y)) - 256*sin (pi*re(z))*sinh (pi*im(z)) + 32*cos(pi*re(y))*cosh(pi*im(y)) + 32*cos(pi*re(z))*cosh(pi*im(z)) + 256*cos (pi*re(y))*cosh (pi*im(y)) + 256*cos (pi*re(z))*cosh (pi*im(z))/| |
\/ 2 *|-1 + \/ (-64*im(z) + 192*im(y) + 512*im(cos(pi*y)*cos(pi*z)) - 128*im(y)*re(y) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 32*sin(pi*re(z))*sinh(pi*im(z)) + 128*im(z)*re(z) - 512*cos(pi*re(y))*cosh(pi*im(y))*sin(pi*re(y))*sinh(pi*im(y)) - 512*cos(pi*re(z))*cosh(pi*im(z))*sin(pi*re(z))*sinh(pi*im(z))) + \1825 - 64*im (z) - 64*re (y) - 64*re(z) + 64*im (y) + 64*re (z) + 192*re(y) + 512*re(cos(pi*y)*cos(pi*z)) - 256*sin (pi*re(y))*sinh (pi*im(y)) - 256*sin (pi*re(z))*sinh (pi*im(z)) + 32*cos(pi*re(y))*cosh(pi*im(y)) + 32*cos(pi*re(z))*cosh(pi*im(z)) + 256*cos (pi*re(y))*cosh (pi*im(y)) + 256*cos (pi*re(z))*cosh (pi*im(z))/ *cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - 16*cos(pi*re(y))*cosh(pi*im(y)) - 16*cos(pi*re(z))*cosh(pi*im(z))| I*\/ 2 *|\/ (-64*im(z) + 192*im(y) + 512*im(cos(pi*y)*cos(pi*z)) - 128*im(y)*re(y) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 32*sin(pi*re(z))*sinh(pi*im(z)) + 128*im(z)*re(z) - 512*cos(pi*re(y))*cosh(pi*im(y))*sin(pi*re(y))*sinh(pi*im(y)) - 512*cos(pi*re(z))*cosh(pi*im(z))*sin(pi*re(z))*sinh(pi*im(z))) + \1825 - 64*im (z) - 64*re (y) - 64*re(z) + 64*im (y) + 64*re (z) + 192*re(y) + 512*re(cos(pi*y)*cos(pi*z)) - 256*sin (pi*re(y))*sinh (pi*im(y)) - 256*sin (pi*re(z))*sinh (pi*im(z)) + 32*cos(pi*re(y))*cosh(pi*im(y)) + 32*cos(pi*re(z))*cosh(pi*im(z)) + 256*cos (pi*re(y))*cosh (pi*im(y)) + 256*cos (pi*re(z))*cosh (pi*im(z))/ *sin|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 16*sin(pi*re(y))*sinh(pi*im(y)) + 16*sin(pi*re(z))*sinh(pi*im(z))|
\ \ 2 / / \ \ 2 / /
x2 = ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
8 8
$$x_{2} = \frac{\sqrt{2} i \left(\sqrt[4]{\left(- 512 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 512 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 128 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 128 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 192 \operatorname{im}{\left(y\right)} - 64 \operatorname{im}{\left(z\right)} + 512 \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2} + \left(- 256 \sin^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 256 \sin^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 64 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 192 \operatorname{re}{\left(y\right)} + 64 \left(\operatorname{re}{\left(z\right)}\right)^{2} - 64 \operatorname{re}{\left(z\right)} + 512 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} + 64 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 64 \left(\operatorname{im}{\left(z\right)}\right)^{2} + 1825\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 512 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 512 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 128 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 128 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 192 \operatorname{im}{\left(y\right)} - 64 \operatorname{im}{\left(z\right)} + 512 \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)},- 256 \sin^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 256 \sin^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 64 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 192 \operatorname{re}{\left(y\right)} + 64 \left(\operatorname{re}{\left(z\right)}\right)^{2} - 64 \operatorname{re}{\left(z\right)} + 512 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} + 64 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 64 \left(\operatorname{im}{\left(z\right)}\right)^{2} + 1825 \right)}}{2} \right)} + 16 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 16 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)}\right)}{8} + \frac{\sqrt{2} \left(\sqrt[4]{\left(- 512 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 512 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 128 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 128 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 192 \operatorname{im}{\left(y\right)} - 64 \operatorname{im}{\left(z\right)} + 512 \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)}\right)^{2} + \left(- 256 \sin^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 256 \sin^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 64 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 192 \operatorname{re}{\left(y\right)} + 64 \left(\operatorname{re}{\left(z\right)}\right)^{2} - 64 \operatorname{re}{\left(z\right)} + 512 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} + 64 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 64 \left(\operatorname{im}{\left(z\right)}\right)^{2} + 1825\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 512 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 512 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 32 \sin{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 128 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 128 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + 192 \operatorname{im}{\left(y\right)} - 64 \operatorname{im}{\left(z\right)} + 512 \operatorname{im}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)},- 256 \sin^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 256 \sin^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \sinh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} + 256 \cos^{2}{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh^{2}{\left(\pi \operatorname{im}{\left(z\right)} \right)} + 32 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 64 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 192 \operatorname{re}{\left(y\right)} + 64 \left(\operatorname{re}{\left(z\right)}\right)^{2} - 64 \operatorname{re}{\left(z\right)} + 512 \operatorname{re}{\left(\cos{\left(\pi y \right)} \cos{\left(\pi z \right)}\right)} + 64 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 64 \left(\operatorname{im}{\left(z\right)}\right)^{2} + 1825 \right)}}{2} \right)} - 16 \cos{\left(\pi \operatorname{re}{\left(y\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(y\right)} \right)} - 16 \cos{\left(\pi \operatorname{re}{\left(z\right)} \right)} \cosh{\left(\pi \operatorname{im}{\left(z\right)} \right)} - 1\right)}{8}$$
x2 = sqrt(2)*i*(((-512*sin(pi*re(y))*cos(pi*re(y))*sinh(pi*im(y))*cosh(pi*im(y)) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 512*sin(pi*re(z))*cos(pi*re(z))*sinh(pi*im(z))*cosh(pi*im(z)) - 32*sin(pi*re(z))*sinh(pi*im(z)) - 128*re(y)*im(y) + 128*re(z)*im(z) + 192*im(y) - 64*im(z) + 512*im(cos(pi*y)*cos(pi*z)))^2 + (-256*sin(pi*re(y))^2*sinh(pi*im(y))^2 - 256*sin(pi*re(z))^2*sinh(pi*im(z))^2 + 256*cos(pi*re(y))^2*cosh(pi*im(y))^2 + 32*cos(pi*re(y))*cosh(pi*im(y)) + 256*cos(pi*re(z))^2*cosh(pi*im(z))^2 + 32*cos(pi*re(z))*cosh(pi*im(z)) - 64*re(y)^2 + 192*re(y) + 64*re(z)^2 - 64*re(z) + 512*re(cos(pi*y)*cos(pi*z)) + 64*im(y)^2 - 64*im(z)^2 + 1825)^2)^(1/4)*sin(atan2(-512*sin(pi*re(y))*cos(pi*re(y))*sinh(pi*im(y))*cosh(pi*im(y)) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 512*sin(pi*re(z))*cos(pi*re(z))*sinh(pi*im(z))*cosh(pi*im(z)) - 32*sin(pi*re(z))*sinh(pi*im(z)) - 128*re(y)*im(y) + 128*re(z)*im(z) + 192*im(y) - 64*im(z) + 512*im(cos(pi*y)*cos(pi*z), -256*sin(pi*re(y))^2*sinh(pi*im(y))^2 - 256*sin(pi*re(z))^2*sinh(pi*im(z))^2 + 256*cos(pi*re(y))^2*cosh(pi*im(y))^2 + 32*cos(pi*re(y))*cosh(pi*im(y)) + 256*cos(pi*re(z))^2*cosh(pi*im(z))^2 + 32*cos(pi*re(z))*cosh(pi*im(z)) - 64*re(y)^2 + 192*re(y) + 64*re(z)^2 - 64*re(z) + 512*re(cos(pi*y)*cos(pi*z)) + 64*im(y)^2 - 64*im(z)^2 + 1825)/2) + 16*sin(pi*re(y))*sinh(pi*im(y)) + 16*sin(pi*re(z))*sinh(pi*im(z)))/8 + sqrt(2)*(((-512*sin(pi*re(y))*cos(pi*re(y))*sinh(pi*im(y))*cosh(pi*im(y)) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 512*sin(pi*re(z))*cos(pi*re(z))*sinh(pi*im(z))*cosh(pi*im(z)) - 32*sin(pi*re(z))*sinh(pi*im(z)) - 128*re(y)*im(y) + 128*re(z)*im(z) + 192*im(y) - 64*im(z) + 512*im(cos(pi*y)*cos(pi*z)))^2 + (-256*sin(pi*re(y))^2*sinh(pi*im(y))^2 - 256*sin(pi*re(z))^2*sinh(pi*im(z))^2 + 256*cos(pi*re(y))^2*cosh(pi*im(y))^2 + 32*cos(pi*re(y))*cosh(pi*im(y)) + 256*cos(pi*re(z))^2*cosh(pi*im(z))^2 + 32*cos(pi*re(z))*cosh(pi*im(z)) - 64*re(y)^2 + 192*re(y) + 64*re(z)^2 - 64*re(z) + 512*re(cos(pi*y)*cos(pi*z)) + 64*im(y)^2 - 64*im(z)^2 + 1825)^2)^(1/4)*cos(atan2(-512*sin(pi*re(y))*cos(pi*re(y))*sinh(pi*im(y))*cosh(pi*im(y)) - 32*sin(pi*re(y))*sinh(pi*im(y)) - 512*sin(pi*re(z))*cos(pi*re(z))*sinh(pi*im(z))*cosh(pi*im(z)) - 32*sin(pi*re(z))*sinh(pi*im(z)) - 128*re(y)*im(y) + 128*re(z)*im(z) + 192*im(y) - 64*im(z) + 512*im(cos(pi*y)*cos(pi*z)), -256*sin(pi*re(y))^2*sinh(pi*im(y))^2 - 256*sin(pi*re(z))^2*sinh(pi*im(z))^2 + 256*cos(pi*re(y))^2*cosh(pi*im(y))^2 + 32*cos(pi*re(y))*cosh(pi*im(y)) + 256*cos(pi*re(z))^2*cosh(pi*im(z))^2 + 32*cos(pi*re(z))*cosh(pi*im(z)) - 64*re(y)^2 + 192*re(y) + 64*re(z)^2 - 64*re(z) + 512*re(cos(pi*y)*cos(pi*z)) + 64*im(y)^2 - 64*im(z)^2 + 1825)/2) - 16*cos(pi*re(y))*cosh(pi*im(y)) - 16*cos(pi*re(z))*cosh(pi*im(z)) - 1)/8)