__________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\ __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\
/ 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\|| / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\||
/ / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||| / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||
/ | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------||| / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|||
/ | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //| / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //|
x1 = - 4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 /
$$x_{1} = - i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} - \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}$$
__________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\ __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\
/ 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\|| / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\||
/ / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||| / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||
/ | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------||| / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|||
/ | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //| / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //|
x2 = 4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 /
$$x_{2} = i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} + \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}$$
x2 = i*((((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*cos(3*atan2(2*re(y)*im(y, re(y)^2 - im(y)^2 + 3)/2) - 2)^2 + ((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/2)*sin(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2)^2)^(1/4)*sin(atan2(((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*sin(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2), ((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*cos(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2) - 2)/2) + ((((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*cos(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2) - 2)^2 + ((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/2)*sin(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2)^2)^(1/4)*cos(atan2(((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*sin(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2), ((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*cos(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2) - 2)/2))
Suma y producto de raíces
[src]
__________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\ __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\ __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\ __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\
/ 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\|| / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\|| / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\|| / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\||
/ / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||| / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||| / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||| / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||
/ | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------||| / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------||| / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------||| / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|||
/ | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //| / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //| / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //| / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //|
- 4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 /
$$\left(- i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} - \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} + \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}\right)$$
$$0$$
/ __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\ __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\\ / __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\ __________________________________________________________________________________________________________________________________________________________________________________________________________ / / 3/4 3/4 \\\
| / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\|| / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\||| | / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\|| / 2 | |/ 2 \ / / 2 2 \\ / 2 \ / / 2 2 \\|||
| / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||| / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||| | / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||| / / 3/4 \ 3/2 | ||/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||||
| / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------||| / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|||| | / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------||| / | / 2 \ / / 2 2 \\| / 2 \ / / 2 2 \\ |atan2|\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------||||
| / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //| / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //|| | / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //| / | |/ 2 2 \ 2 2 | |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|| |/ 2 2 \ 2 2 | 2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| | \ \ 2 / \ 2 //||
|- 4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |-2 + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *cos|-------------------------------------------|| + \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
\ \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 // \\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} - \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} + \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}\right)$$
/ / 2 2 \ / 2 2 \\
| 3/4 -3*I*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/ 3/4 -3*I*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|
| / 2 \ / / 2 2 \\ ---------------------------------------------- / 2 \ / / 2 2 \\ ----------------------------------------------|
| |/ 2 2 \ 2 2 | | 3*I*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| 2 |/ 2 2 \ 2 2 | | 3*I*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| 2 |
_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |-I*\\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *\-1 + e /*e \\3 + re (y) - im (y)/ + 4*im (y)*re (y)/ *\1 + e /*e |
/ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ 3/4 / / 2 2 \\ _____________________________________________________________ _____________________________________________________________ I*atan2|-------------------------------------------------------------------------------------------------------------------------------------------------------, -2 + --------------------------------------------------------------------------------------------------------------------------------------------------|
/ / 4 4 2 2 2 2 / 4 4 2 2 2 2 4 / 4 4 2 2 2 2 4 / 4 4 2 2 2 2 2 / 4 4 2 2 2 2 \ |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/| / 4 4 2 2 2 2 2 / 4 4 2 2 2 2 2 2 \ 2 2 /
- / 4 + 9*\/ 9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) + \/ 9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *im (y) + \/ 9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *re (y) - 6*\/ 9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *im (y) - 4*\9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y)/ *cos|-------------------------------------------| + 6*\/ 9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *re (y) + 2*\/ 9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *im (y)*re (y) *e
\/ \ 2 /
$$- \sqrt{- 4 \left(\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{re}{\left(y\right)}\right)^{2} + \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} + 4} e^{i \operatorname{atan_{2}}{\left(- \frac{i \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \left(e^{3 i \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}} - 1\right) e^{- \frac{3 i \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2}}}{2},\frac{\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \left(e^{3 i \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}} + 1\right) e^{- \frac{3 i \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2}}}{2} - 2 \right)}}$$
-sqrt(4 + 9*sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2) + sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*im(y)^4 + sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*re(y)^4 - 6*sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*im(y)^2 - 4*(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)^(3/4)*cos(3*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)/2) + 6*sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*re(y)^2 + 2*sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*im(y)^2*re(y)^2)*exp(i*atan2(-i*((3 + re(y)^2 - im(y)^2)^2 + 4*im(y)^2*re(y)^2)^(3/4)*(-1 + exp(3*i*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)))*exp(-3*i*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)/2)/2, -2 + ((3 + re(y)^2 - im(y)^2)^2 + 4*im(y)^2*re(y)^2)^(3/4)*(1 + exp(3*i*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)))*exp(-3*i*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)/2)/2))