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xy-y-x^3=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
           3    
x*y - y - x  = 0
$$- x^{3} + \left(x y - y\right) = 0$$
Teorema de Cardano-Vieta
reescribamos la ecuación
$$- x^{3} + \left(x y - y\right) = 0$$
de
$$a x^{3} + b x^{2} + c x + d = 0$$
como ecuación cúbica reducida
$$x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0$$
$$x^{3} - x y + y = 0$$
$$p x^{2} + q x + v + x^{3} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = - y$$
$$v = \frac{d}{a}$$
$$v = y$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} + x_{3} = - p$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q$$
$$x_{1} x_{2} x_{3} = v$$
$$x_{1} + x_{2} + x_{3} = 0$$
$$x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = - y$$
$$x_{1} x_{2} x_{3} = y$$
Gráfica
Respuesta rápida [src]
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                                                     |                                                     /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||||          /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|||
                                                     |                                                    /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||||         /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------|||
                                                     |                                                   /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /|||        /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /||
                                                     |                                                  /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|||       /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
                                                     |                                                 /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /||      /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /|
                                                     |                                              6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *sin|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
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x1 = - re|-------------------------------------| + I*|- im|-------------------------------------| - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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         |   /   \/  - 108*y  + 729*y     27*y |     |    |   /   \/  - 108*y  + 729*y     27*y |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
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$$x_{1} = i \left(- \frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{3} - \operatorname{im}{\left(\frac{y}{\sqrt[3]{\frac{27 y}{2} + \frac{\sqrt{- 108 y^{3} + 729 y^{2}}}{2}}}\right)}\right) - \frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{3} - \operatorname{re}{\left(\frac{y}{\sqrt[3]{\frac{27 y}{2} + \frac{\sqrt{- 108 y^{3} + 729 y^{2}}}{2}}}\right)}$$
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                                                                     |                                                                      /                                                                                                                                                                                                                                                              2                                                                                                                                                                                                                                                                2     |     |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\                /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\||                 /                                                                                                                                                                                                                                                              2                                                                                                                                                                                                                                                                2     |     |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\                /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|||           /                                                                                                                                                                                                                                                              2                                                                                                                                                                                                                                                                2     |     |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\                /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\||                 /                                                                                                                                                                                                                                                              2                                                                                                                                                                                                                                                                2     |     |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\                /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\||
                                                                     |                                                                     /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|||                /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||||          /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|||                /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|||
                                                                     |                                                                    /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------|||               /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||||         /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------|||               /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------|||
                                                                     |                                                                   /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /||              /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /|||        /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /||              /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /||
                                                                     |                                                                  /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||             /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|||       /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||             /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
                                                                     |                                                                 /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /|     ___    /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /||      /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /|     ___    /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /|
                                                                     |                                                              6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *sin|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/ 3 *6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/ 3 *6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *sin|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
         /                          y                          \     |    /                          y                          \   \/        \   2                                                                                                                              2                                                                                                                        /    \   2                                                                                                                              2                                                                                                                        /      \                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                               /         \/        \   2                                                                                                                              2                                                                                                                        /    \   2                                                                                                                              2                                                                                                                        /      \                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                               /|   \/        \   2                                                                                                                              2                                                                                                                        /    \   2                                                                                                                              2                                                                                                                        /      \                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                               /         \/        \   2                                                                                                                              2                                                                                                                        /    \   2                                                                                                                              2                                                                                                                        /      \                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                               /
x2 = - re|-----------------------------------------------------| + I*|- im|-----------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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         |/          ___\     /    /        3        2         |     |    |/          ___\     /    /        3        2         |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
         ||  1   I*\/ 3 |    /   \/  - 108*y  + 729*y     27*y |     |    ||  1   I*\/ 3 |    /   \/  - 108*y  + 729*y     27*y |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
         ||- - - -------|*3 /    ---------------------- + ---- |     |    ||- - - -------|*3 /    ---------------------- + ---- |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
         \\  2      2   / \/               2               2   /     \    \\  2      2   / \/               2               2   /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
$$x_{2} = - \frac{\sqrt{3} \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{6} + \frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{6} + i \left(\frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{6} + \frac{\sqrt{3} \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{6} - \operatorname{im}{\left(\frac{y}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27 y}{2} + \frac{\sqrt{- 108 y^{3} + 729 y^{2}}}{2}}}\right)}\right) - \operatorname{re}{\left(\frac{y}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27 y}{2} + \frac{\sqrt{- 108 y^{3} + 729 y^{2}}}{2}}}\right)}$$
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                                                                     |                                                                     /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|||                /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||||          /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|||                /  /               ____________________________________________________________________________________________________________________                                                                                                                        \    /               ____________________________________________________________________________________________________________________                                                                                                                        \      |     |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|             4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/|||
                                                                     |                                                                    /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------|||               /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||||         /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------|||               /   |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|    |              /                                                   2                                                              2     /     /      3            2                                      2            3            2            2         \\|      |     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------|             \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------|||
                                                                     |                                                                   /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /||              /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /|||        /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /||              /    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||    |           4 /  /      3            2                            \    /        2            3            2            2         \      |atan2\108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y), - 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/||      |     |27*im(y)                                                                                                                               \                                                        2                                                         /  27*re(y)                                                                                                                               \                                                        2                                                         /||
                                                                     |                                                                  /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||             /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|||       /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||             /     |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *sin|------------------------------------------------------------------------------------------------------------------||    |           \/   \108*im (y) - 324*re (y)*im(y) + 1458*im(y)*re(y)/  + \- 729*im (y) - 108*re (y) + 729*re (y) + 324*im (y)*re(y)/  *cos|------------------------------------------------------------------------------------------------------------------||      |atan2|-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
                                                                     |                                                                 /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /|     ___    /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /||      /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /|     ___    /      |27*im(y)                                                                                                                               \                                                        2                                                         /|    |27*re(y)                                                                                                                               \                                                        2                                                         /|      |     \   2                                                                                                                              2                                                                                                                             2                                                                                                                              2                                                                                                                        /|
                                                                     |                                                              6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *sin|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/ 3 *6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *cos|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|   \/ 3 *6 /       |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  + |-------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|  *sin|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
         /                          y                          \     |    /                          y                          \   \/        \   2                                                                                                                              2                                                                                                                        /    \   2                                                                                                                              2                                                                                                                        /      \                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                               /         \/        \   2                                                                                                                              2                                                                                                                        /    \   2                                                                                                                              2                                                                                                                        /      \                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                               /|   \/        \   2                                                                                                                              2                                                                                                                        /    \   2                                                                                                                              2                                                                                                                        /      \                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                               /         \/        \   2                                                                                                                              2                                                                                                                        /    \   2                                                                                                                              2                                                                                                                        /      \                                                                                                                                                                                                                                                               3                                                                                                                                                                                                                                                               /
x3 = - re|-----------------------------------------------------| + I*|- im|-----------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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         |/          ___\     /    /        3        2         |     |    |/          ___\     /    /        3        2         |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
         ||  1   I*\/ 3 |    /   \/  - 108*y  + 729*y     27*y |     |    ||  1   I*\/ 3 |    /   \/  - 108*y  + 729*y     27*y |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
         ||- - + -------|*3 /    ---------------------- + ---- |     |    ||- - + -------|*3 /    ---------------------- + ---- |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
         \\  2      2   / \/               2               2   /     \    \\  2      2   / \/               2               2   /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
$$x_{3} = \frac{\sqrt{3} \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{6} + \frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{6} + i \left(\frac{\sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{6} - \frac{\sqrt{3} \sqrt[6]{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2}\right)^{2} + \left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{im}{\left(y\right)}}{2},\frac{\sqrt[4]{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3}\right)^{2} + \left(- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 324 \left(\operatorname{re}{\left(y\right)}\right)^{2} \operatorname{im}{\left(y\right)} + 1458 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + 108 \left(\operatorname{im}{\left(y\right)}\right)^{3},- 108 \left(\operatorname{re}{\left(y\right)}\right)^{3} + 729 \left(\operatorname{re}{\left(y\right)}\right)^{2} + 324 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 729 \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}}{2} + \frac{27 \operatorname{re}{\left(y\right)}}{2} \right)}}{3} \right)}}{6} - \operatorname{im}{\left(\frac{y}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27 y}{2} + \frac{\sqrt{- 108 y^{3} + 729 y^{2}}}{2}}}\right)}\right) - \operatorname{re}{\left(\frac{y}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{27 y}{2} + \frac{\sqrt{- 108 y^{3} + 729 y^{2}}}{2}}}\right)}$$
x3 = sqrt(3)*((((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*sin(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*im(y)/2)^2 + (((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*cos(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*re(y)/2)^2)^(1/6)*sin(atan2(((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*sin(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*im(y)/2, ((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*cos(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*re(y)/2)/3)/6 + ((((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*sin(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*im(y)/2)^2 + (((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*cos(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*re(y)/2)^2)^(1/6)*cos(atan2(((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*sin(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*im(y)/2, ((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*cos(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*re(y)/2)/3)/6 + i*(((((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*sin(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*im(y)/2)^2 + (((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*cos(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*re(y)/2)^2)^(1/6)*sin(atan2(((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*sin(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*im(y)/2, ((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*cos(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*re(y)/2)/3)/6 - sqrt(3)*((((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*sin(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*im(y)/2)^2 + (((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*cos(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*re(y)/2)^2)^(1/6)*cos(atan2(((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*sin(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*im(y)/2, ((-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3)^2 + (-108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)^2)^(1/4)*cos(atan2(-324*re(y)^2*im(y) + 1458*re(y)*im(y) + 108*im(y)^3, -108*re(y)^3 + 729*re(y)^2 + 324*re(y)*im(y)^2 - 729*im(y)^2)/2)/2 + 27*re(y)/2)/3)/6 - im(y/((-1/2 + sqrt(3)*i/2)*(27*y/2 + sqrt(-108*y^3 + 729*y^2)/2)^(1/3)))) - re(y/((-1/2 + sqrt(3)*i/2)*(27*y/2 + sqrt(-108*y^3 + 729*y^2)/2)^(1/3))))