// _________________ \ / _________________ \ \ / _________________ \ / _________________ \
||4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \ | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ | | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ |4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \
z1 = I*||\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
\\ \ 2 / / \ \ 2 / / / \ \ 2 / / \ \ 2 / /
$$z_{1} = i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$
z1 = i*(((re(y)^2 + im(y)^2)^(1/4)*sin(atan2(im(y, re(y))/2) + 12*re(x)^3*im(x) - 12*re(x)*im(x)^3)*sin(re(y)^2 - im(y)^2)*cosh(2*re(y)*im(y)) + ((re(y)^2 + im(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2) + 3*re(x)^4 - 18*re(x)^2*im(x)^2 + 3*im(x)^4)*cos(re(y)^2 - im(y)^2)*sinh(2*re(y)*im(y))) - ((re(y)^2 + im(y)^2)^(1/4)*sin(atan2(im(y), re(y))/2) + 12*re(x)^3*im(x) - 12*re(x)*im(x)^3)*cos(re(y)^2 - im(y)^2)*sinh(2*re(y)*im(y)) + ((re(y)^2 + im(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2) + 3*re(x)^4 - 18*re(x)^2*im(x)^2 + 3*im(x)^4)*sin(re(y)^2 - im(y)^2)*cosh(2*re(y)*im(y)))
Suma y producto de raíces
[src]
// _________________ \ / _________________ \ \ / _________________ \ / _________________ \
||4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \ | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ | | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ |4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \
I*||\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
\\ \ 2 / / \ \ 2 / / / \ \ 2 / / \ \ 2 / /
$$i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$
// _________________ \ / _________________ \ \ / _________________ \ / _________________ \
||4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \ | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ | | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ |4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \
I*||\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
\\ \ 2 / / \ \ 2 / / / \ \ 2 / / \ \ 2 / /
$$i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$
// _________________ \ / _________________ \ \ / _________________ \ / _________________ \
||4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \ | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ | | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ |4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \
I*||\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
\\ \ 2 / / \ \ 2 / / / \ \ 2 / / \ \ 2 / /
$$i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$
// _________________ \ / _________________ \ \ / _________________ \ / _________________ \
||4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \ | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ | | 4 4 4 / 2 2 /atan2(im(y), re(y))\ 2 2 | / 2 2 \ |4 / 2 2 /atan2(im(y), re(y))\ 3 3 | / 2 2 \
I*||\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))| + |3*im (x) + 3*re (x) + \/ im (y) + re (y) *cos|-------------------| - 18*im (x)*re (x)|*cosh(2*im(y)*re(y))*sin\re (y) - im (y)/ - |\/ im (y) + re (y) *sin|-------------------| - 12*im (x)*re(x) + 12*re (x)*im(x)|*cos\re (y) - im (y)/*sinh(2*im(y)*re(y))
\\ \ 2 / / \ \ 2 / / / \ \ 2 / / \ \ 2 / /
$$i \left(\left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}\right) - \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 12 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 12 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right) \cos{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \sinh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)} + \left(\sqrt[4]{\left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(y\right)},\operatorname{re}{\left(y\right)} \right)}}{2} \right)} + 3 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 18 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right) \sin{\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)} \cosh{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} \right)}$$
i*(((im(y)^2 + re(y)^2)^(1/4)*sin(atan2(im(y), re(y))/2) - 12*im(x)^3*re(x) + 12*re(x)^3*im(x))*cosh(2*im(y)*re(y))*sin(re(y)^2 - im(y)^2) + (3*im(x)^4 + 3*re(x)^4 + (im(y)^2 + re(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2) - 18*im(x)^2*re(x)^2)*cos(re(y)^2 - im(y)^2)*sinh(2*im(y)*re(y))) + (3*im(x)^4 + 3*re(x)^4 + (im(y)^2 + re(y)^2)^(1/4)*cos(atan2(im(y), re(y))/2) - 18*im(x)^2*re(x)^2)*cosh(2*im(y)*re(y))*sin(re(y)^2 - im(y)^2) - ((im(y)^2 + re(y)^2)^(1/4)*sin(atan2(im(y), re(y))/2) - 12*im(x)^3*re(x) + 12*re(x)^3*im(x))*cos(re(y)^2 - im(y)^2)*sinh(2*im(y)*re(y))