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1/(x-y)+1/(y-z)+1/(z-x)=-6 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
  1       1       1       
----- + ----- + ----- = -6
x - y   y - z   z - x     
$$\left(\frac{1}{y - z} + \frac{1}{x - y}\right) + \frac{1}{- x + z} = -6$$
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       |                     |                                                            4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|   4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/||                           |                                                4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|   4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|||                           |                                                            4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|   4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/||                        |                                                4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|   4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/||
       |                     |                                                            \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-re(y) + re(z))*cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-im(y) + im(z))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------||                           |                                                \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-im(y) + im(z))*cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-re(y) + re(z))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|||                           |                                                            \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-re(y) + re(z))*cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-im(y) + im(z))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------||                        |                                                \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-im(y) + im(z))*cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-re(y) + re(z))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------||
       |                     |re(y)   re(z)       2          2          2          2                                                                                                                                                                                                  \                                                                                2                                                                                /                                                                                                                                                                                               \                                                                                2                                                                                /|                           |im(y)   im(z)                                                                                                                                                                                                                               \                                                                                2                                                                                /                                                                                                                                                                                               \                                                                                2                                                                                /||                           |re(y)   re(z)       2          2          2          2                                                                                                                                                                                                  \                                                                                2                                                                                /                                                                                                                                                                                               \                                                                                2                                                                                /|                        |im(y)   im(z)                                                                                                                                                                                                                               \                                                                                2                                                                                /                                                                                                                                                                                               \                                                                                2                                                                                /|
       |(-6*im(y) + 6*im(z))*|----- + ----- - 3*im (y) - 3*re (z) + 3*im (z) + 3*re (y) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|   (1 - 6*re(z) + 6*re(y))*|----- + ----- - 6*im(z)*re(z) + 6*im(y)*re(y) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   (1 - 6*re(z) + 6*re(y))*|----- + ----- - 3*im (y) - 3*re (z) + 3*im (z) + 3*re (y) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|   (-6*im(y) + 6*im(z))*|----- + ----- - 6*im(z)*re(z) + 6*im(y)*re(y) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
       |                     \  2       2                                                                                                                                                                                                                                2                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                               /                           \  2       2                                                                                                                                                                                                                    2                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                               /|                           \  2       2                                                                                                                                                                                                                                2                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                               /                        \  2       2                                                                                                                                                                                                                    2                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                               /
x1 = I*|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       |                                                                                                                                                                                                                                                                                                                                                                                                      2                          2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2                          2                                                                                                                                                                                                                                                                                                                                                                             |                                                                                                                                                                                                                                                                                                                                                                                                           2                          2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2                          2                                                                                                                                                                                                                                                                                                                                                                            
       \                                                                                                                                                                                                                                                                                                                                                                                  (-6*im(z) + 6*im(y))  + (1 - 6*re(z) + 6*re(y))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (-6*im(z) + 6*im(y))  + (1 - 6*re(z) + 6*re(y))                                                                                                                                                                                                                                                                                                                                                                              /                                                                                                                                                                                                                                                                                                                                                                                       (-6*im(z) + 6*im(y))  + (1 - 6*re(z) + 6*re(y))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   (-6*im(z) + 6*im(y))  + (1 - 6*re(z) + 6*re(y))                                                                                                                                                                                                                                                                                                                                                                             
$$x_{1} = i \left(\frac{\left(- 6 \operatorname{im}{\left(y\right)} + 6 \operatorname{im}{\left(z\right)}\right) \left(\frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(- \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} - \frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(- \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + 3 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \frac{\operatorname{re}{\left(y\right)}}{2} - 3 \left(\operatorname{re}{\left(z\right)}\right)^{2} + \frac{\operatorname{re}{\left(z\right)}}{2} - 3 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(z\right)}\right)^{2}\right)}{\left(6 \operatorname{im}{\left(y\right)} - 6 \operatorname{im}{\left(z\right)}\right)^{2} + \left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right)^{2}} + \frac{\left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right) \left(\frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(- \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(- \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + 6 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + \frac{\operatorname{im}{\left(y\right)}}{2} + \frac{\operatorname{im}{\left(z\right)}}{2}\right)}{\left(6 \operatorname{im}{\left(y\right)} - 6 \operatorname{im}{\left(z\right)}\right)^{2} + \left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right)^{2}}\right) - \frac{\left(- 6 \operatorname{im}{\left(y\right)} + 6 \operatorname{im}{\left(z\right)}\right) \left(\frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(- \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(- \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + 6 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + \frac{\operatorname{im}{\left(y\right)}}{2} + \frac{\operatorname{im}{\left(z\right)}}{2}\right)}{\left(6 \operatorname{im}{\left(y\right)} - 6 \operatorname{im}{\left(z\right)}\right)^{2} + \left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right)^{2}} + \frac{\left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right) \left(\frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(- \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} - \frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(- \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + 3 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \frac{\operatorname{re}{\left(y\right)}}{2} - 3 \left(\operatorname{re}{\left(z\right)}\right)^{2} + \frac{\operatorname{re}{\left(z\right)}}{2} - 3 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(z\right)}\right)^{2}\right)}{\left(6 \operatorname{im}{\left(y\right)} - 6 \operatorname{im}{\left(z\right)}\right)^{2} + \left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right)^{2}}$$
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       |                     |                                                            4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|   4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/||                           |                                                4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|   4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|||                           |                                                            4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|   4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/||                        |                                                4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/|   4 /                                                                       2   /                       2           2                                 2           2   \                       |atan2\-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z), -3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/||
       |                     |                                                            \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-re(z) + re(y))*cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-im(z) + im(y))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------||                           |                                                \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-im(z) + im(y))*cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-re(z) + re(y))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|||                           |                                                            \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-re(z) + re(y))*cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-im(z) + im(y))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------||                        |                                                \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-im(z) + im(y))*cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/   (-72*im(y*z) - 12*im(y) + 12*im(z) + 72*im(y)*re(y) + 72*im(z)*re(z))  + \-3 - 72*re(y*z) - 36*im (y) - 36*im (z) - 12*re(y) + 12*re(z) + 36*re (y) + 36*re (z)/  *(-re(z) + re(y))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------||
       |                     |re(y)   re(z)       2          2          2          2                                                                                                                                                                                                  \                                                                                2                                                                                /                                                                                                                                                                                               \                                                                                2                                                                                /|                           |im(y)   im(z)                                                                                                                                                                                                                               \                                                                                2                                                                                /                                                                                                                                                                                               \                                                                                2                                                                                /||                           |re(y)   re(z)       2          2          2          2                                                                                                                                                                                                  \                                                                                2                                                                                /                                                                                                                                                                                               \                                                                                2                                                                                /|                        |im(y)   im(z)                                                                                                                                                                                                                               \                                                                                2                                                                                /                                                                                                                                                                                               \                                                                                2                                                                                /|
       |(-6*im(y) + 6*im(z))*|----- + ----- - 3*im (y) - 3*re (z) + 3*im (z) + 3*re (y) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|   (1 - 6*re(z) + 6*re(y))*|----- + ----- - 6*im(z)*re(z) + 6*im(y)*re(y) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   (1 - 6*re(z) + 6*re(y))*|----- + ----- - 3*im (y) - 3*re (z) + 3*im (z) + 3*re (y) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|   (-6*im(y) + 6*im(z))*|----- + ----- - 6*im(z)*re(z) + 6*im(y)*re(y) + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
       |                     \  2       2                                                                                                                                                                                                                                2                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                               /                           \  2       2                                                                                                                                                                                                                    2                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                               /|                           \  2       2                                                                                                                                                                                                                                2                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                               /                        \  2       2                                                                                                                                                                                                                    2                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                               /
x2 = I*|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       |                                                                                                                                                                                                                                                                                                                                                                                                      2                          2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2                          2                                                                                                                                                                                                                                                                                                                                                                             |                                                                                                                                                                                                                                                                                                                                                                                                           2                          2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2                          2                                                                                                                                                                                                                                                                                                                                                                            
       \                                                                                                                                                                                                                                                                                                                                                                                  (-6*im(z) + 6*im(y))  + (1 - 6*re(z) + 6*re(y))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    (-6*im(z) + 6*im(y))  + (1 - 6*re(z) + 6*re(y))                                                                                                                                                                                                                                                                                                                                                                              /                                                                                                                                                                                                                                                                                                                                                                                       (-6*im(z) + 6*im(y))  + (1 - 6*re(z) + 6*re(y))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   (-6*im(z) + 6*im(y))  + (1 - 6*re(z) + 6*re(y))                                                                                                                                                                                                                                                                                                                                                                             
$$x_{2} = i \left(\frac{\left(- 6 \operatorname{im}{\left(y\right)} + 6 \operatorname{im}{\left(z\right)}\right) \left(\frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(\operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z\right)}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} - \frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + 3 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \frac{\operatorname{re}{\left(y\right)}}{2} - 3 \left(\operatorname{re}{\left(z\right)}\right)^{2} + \frac{\operatorname{re}{\left(z\right)}}{2} - 3 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(z\right)}\right)^{2}\right)}{\left(6 \operatorname{im}{\left(y\right)} - 6 \operatorname{im}{\left(z\right)}\right)^{2} + \left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right)^{2}} + \frac{\left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right) \left(\frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(\operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z\right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + 6 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + \frac{\operatorname{im}{\left(y\right)}}{2} + \frac{\operatorname{im}{\left(z\right)}}{2}\right)}{\left(6 \operatorname{im}{\left(y\right)} - 6 \operatorname{im}{\left(z\right)}\right)^{2} + \left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right)^{2}}\right) - \frac{\left(- 6 \operatorname{im}{\left(y\right)} + 6 \operatorname{im}{\left(z\right)}\right) \left(\frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(\operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z\right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + 6 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} + \frac{\operatorname{im}{\left(y\right)}}{2} + \frac{\operatorname{im}{\left(z\right)}}{2}\right)}{\left(6 \operatorname{im}{\left(y\right)} - 6 \operatorname{im}{\left(z\right)}\right)^{2} + \left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right)^{2}} + \frac{\left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right) \left(\frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(\operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z\right)}\right) \cos{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} - \frac{\sqrt[4]{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3\right)^{2}} \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)}\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(72 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 72 \operatorname{re}{\left(z\right)} \operatorname{im}{\left(z\right)} - 12 \operatorname{im}{\left(y\right)} + 12 \operatorname{im}{\left(z\right)} - 72 \operatorname{im}{\left(y z\right)},36 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 12 \operatorname{re}{\left(y\right)} + 36 \left(\operatorname{re}{\left(z\right)}\right)^{2} + 12 \operatorname{re}{\left(z\right)} - 72 \operatorname{re}{\left(y z\right)} - 36 \left(\operatorname{im}{\left(y\right)}\right)^{2} - 36 \left(\operatorname{im}{\left(z\right)}\right)^{2} - 3 \right)}}{2} \right)}}{2} + 3 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \frac{\operatorname{re}{\left(y\right)}}{2} - 3 \left(\operatorname{re}{\left(z\right)}\right)^{2} + \frac{\operatorname{re}{\left(z\right)}}{2} - 3 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(z\right)}\right)^{2}\right)}{\left(6 \operatorname{im}{\left(y\right)} - 6 \operatorname{im}{\left(z\right)}\right)^{2} + \left(6 \operatorname{re}{\left(y\right)} - 6 \operatorname{re}{\left(z\right)} + 1\right)^{2}}$$
x2 = i*((-6*im(y) + 6*im(z))*(((72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z))^2 + (36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)^2)^(1/4)*(re(y) - re(z))*cos(atan2(72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z, 36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)/2)/2 - ((72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z))^2 + (36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)^2)^(1/4)*(im(y) - im(z))*sin(atan2(72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z), 36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)/2)/2 + 3*re(y)^2 + re(y)/2 - 3*re(z)^2 + re(z)/2 - 3*im(y)^2 + 3*im(z)^2)/((6*im(y) - 6*im(z))^2 + (6*re(y) - 6*re(z) + 1)^2) + (6*re(y) - 6*re(z) + 1)*(((72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z))^2 + (36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)^2)^(1/4)*(re(y) - re(z))*sin(atan2(72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z), 36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)/2)/2 + ((72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z))^2 + (36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)^2)^(1/4)*(im(y) - im(z))*cos(atan2(72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z), 36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)/2)/2 + 6*re(y)*im(y) - 6*re(z)*im(z) + im(y)/2 + im(z)/2)/((6*im(y) - 6*im(z))^2 + (6*re(y) - 6*re(z) + 1)^2)) - (-6*im(y) + 6*im(z))*(((72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z))^2 + (36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)^2)^(1/4)*(re(y) - re(z))*sin(atan2(72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z), 36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)/2)/2 + ((72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z))^2 + (36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)^2)^(1/4)*(im(y) - im(z))*cos(atan2(72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z), 36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)/2)/2 + 6*re(y)*im(y) - 6*re(z)*im(z) + im(y)/2 + im(z)/2)/((6*im(y) - 6*im(z))^2 + (6*re(y) - 6*re(z) + 1)^2) + (6*re(y) - 6*re(z) + 1)*(((72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z))^2 + (36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)^2)^(1/4)*(re(y) - re(z))*cos(atan2(72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z), 36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)/2)/2 - ((72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z))^2 + (36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)^2)^(1/4)*(im(y) - im(z))*sin(atan2(72*re(y)*im(y) + 72*re(z)*im(z) - 12*im(y) + 12*im(z) - 72*im(y*z), 36*re(y)^2 - 12*re(y) + 36*re(z)^2 + 12*re(z) - 72*re(y*z) - 36*im(y)^2 - 36*im(z)^2 - 3)/2)/2 + 3*re(y)^2 + re(y)/2 - 3*re(z)^2 + re(z)/2 - 3*im(y)^2 + 3*im(z)^2)/((6*im(y) - 6*im(z))^2 + (6*re(y) - 6*re(z) + 1)^2))