___________________ ___________________
3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\
\/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| I*\/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------|
\ 3 / \ 3 /
x1 = ------------------------------------------------------------ + --------------------------------------------------------------
132 132
$$x_{1} = \frac{\sqrt[3]{2178} i \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{132} + \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{132}$$
/ ___________________ ___________________ \ ___________________ ___________________
| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\
| \/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *cos|-----------------------|| \/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *sin|-----------------------|
| \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = I*|- ------------------------------------------------------------ - -----------------------------------------------------------------| - ------------------------------------------------------------ + -----------------------------------------------------------------
\ 264 88 / 264 88
$$x_{2} = i \left(- \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264} - \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88}\right) + \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88} - \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264}$$
/ ___________________ ___________________ \ ___________________ ___________________
| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\
| \/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *cos|-----------------------|| \/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *sin|-----------------------|
| \ 3 / \ 3 /| \ 3 / \ 3 /
x3 = I*|- ------------------------------------------------------------ + -----------------------------------------------------------------| - ------------------------------------------------------------ - -----------------------------------------------------------------
\ 264 88 / 264 88
$$x_{3} = i \left(- \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264} + \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88}\right) - \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88} - \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264}$$
x3 = i*(-2178^(1/3)*(re(x2)^2 + im(x2)^2)^(1/6)*sin(atan2(-im(x2, -re(x2))/3)/264 + 242^(1/3)*3^(1/6)*(re(x2)^2 + im(x2)^2)^(1/6)*cos(atan2(-im(x2), -re(x2))/3)/88) - 242^(1/3)*3^(1/6)*(re(x2)^2 + im(x2)^2)^(1/6)*sin(atan2(-im(x2), -re(x2))/3)/88 - 2178^(1/3)*(re(x2)^2 + im(x2)^2)^(1/6)*cos(atan2(-im(x2), -re(x2))/3)/264)
Suma y producto de raíces
[src]
___________________ ___________________ / ___________________ ___________________ \ ___________________ ___________________ / ___________________ ___________________ \ ___________________ ___________________
3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ | 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\ | 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\
\/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| I*\/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| | \/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *cos|-----------------------|| \/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *sin|-----------------------| | \/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *cos|-----------------------|| \/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *sin|-----------------------|
\ 3 / \ 3 / | \ 3 / \ 3 /| \ 3 / \ 3 / | \ 3 / \ 3 /| \ 3 / \ 3 /
------------------------------------------------------------ + -------------------------------------------------------------- + I*|- ------------------------------------------------------------ - -----------------------------------------------------------------| - ------------------------------------------------------------ + ----------------------------------------------------------------- + I*|- ------------------------------------------------------------ + -----------------------------------------------------------------| - ------------------------------------------------------------ - -----------------------------------------------------------------
132 132 \ 264 88 / 264 88 \ 264 88 / 264 88
$$\left(\left(\frac{\sqrt[3]{2178} i \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{132} + \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{132}\right) + \left(i \left(- \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264} - \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88}\right) + \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88} - \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264}\right)\right) + \left(i \left(- \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264} + \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88}\right) - \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88} - \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264}\right)$$
/ ___________________ ___________________ \ / ___________________ ___________________ \ ___________________
| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| | 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\
| \/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *cos|-----------------------|| | \/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *cos|-----------------------|| I*\/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------|
| \ 3 / \ 3 /| | \ 3 / \ 3 /| \ 3 /
I*|- ------------------------------------------------------------ - -----------------------------------------------------------------| + I*|- ------------------------------------------------------------ + -----------------------------------------------------------------| + --------------------------------------------------------------
\ 264 88 / \ 264 88 / 132
$$i \left(- \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264} - \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88}\right) + i \left(- \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264} + \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88}\right) + \frac{\sqrt[3]{2178} i \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{132}$$
/ ___________________ ___________________ \ / / ___________________ ___________________ \ ___________________ ___________________ \ / / ___________________ ___________________ \ ___________________ ___________________ \
|3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\| | | 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| | | 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\| 3 ______ 6 / 2 2 /atan2(-im(x2), -re(x2))\ 6 ___ 3 _____ 6 / 2 2 /atan2(-im(x2), -re(x2))\|
|\/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| I*\/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------|| | | \/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *cos|-----------------------|| \/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *sin|-----------------------|| | | \/ 2178 *\/ im (x2) + re (x2) *sin|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *cos|-----------------------|| \/ 2178 *\/ im (x2) + re (x2) *cos|-----------------------| \/ 3 *\/ 242 *\/ im (x2) + re (x2) *sin|-----------------------||
| \ 3 / \ 3 /| | | \ 3 / \ 3 /| \ 3 / \ 3 /| | | \ 3 / \ 3 /| \ 3 / \ 3 /|
|------------------------------------------------------------ + --------------------------------------------------------------|*|I*|- ------------------------------------------------------------ - -----------------------------------------------------------------| - ------------------------------------------------------------ + -----------------------------------------------------------------|*|I*|- ------------------------------------------------------------ + -----------------------------------------------------------------| - ------------------------------------------------------------ - -----------------------------------------------------------------|
\ 132 132 / \ \ 264 88 / 264 88 / \ \ 264 88 / 264 88 /
$$\left(\frac{\sqrt[3]{2178} i \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{132} + \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{132}\right) \left(i \left(- \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264} - \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88}\right) + \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88} - \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264}\right) \left(i \left(- \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264} + \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88}\right) - \frac{\sqrt[3]{242} \sqrt[6]{3} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{88} - \frac{\sqrt[3]{2178} \sqrt[6]{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{264}\right)$$
/ / im(x2) /atan2(-im(x2), -re(x2))\\\
| 3*I*|- ---------------------- + sin|-----------------------|||
| /atan2(-im(x2), -re(x2))\ | ___________________ \ 3 /||
___________________ | 3*cos|-----------------------| | / 2 2 ||
/ 2 2 | 3/atan2(-im(x2), -re(x2))\ \ 3 / 3/atan2(-im(x2), -re(x2))\ 3*re(x2) \ \/ im (x2) + re (x2) /|
\/ im (x2) + re (x2) *|cos |-----------------------| - ------------------------------ - I*sin |-----------------------| - ------------------------ + -------------------------------------------------------------|
| \ 3 / 4 \ 3 / ___________________ 4 |
| / 2 2 |
\ 4*\/ im (x2) + re (x2) /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1056
$$\frac{\sqrt{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}} \left(\frac{3 i \left(\sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)} - \frac{\operatorname{im}{\left(x_{2}\right)}}{\sqrt{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}}}\right)}{4} - i \sin^{3}{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)} + \cos^{3}{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)} - \frac{3 \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x_{2}\right)},- \operatorname{re}{\left(x_{2}\right)} \right)}}{3} \right)}}{4} - \frac{3 \operatorname{re}{\left(x_{2}\right)}}{4 \sqrt{\left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}}}\right)}{1056}$$
sqrt(im(x2)^2 + re(x2)^2)*(cos(atan2(-im(x2), -re(x2))/3)^3 - 3*cos(atan2(-im(x2), -re(x2))/3)/4 - i*sin(atan2(-im(x2), -re(x2))/3)^3 - 3*re(x2)/(4*sqrt(im(x2)^2 + re(x2)^2)) + 3*i*(-im(x2)/sqrt(im(x2)^2 + re(x2)^2) + sin(atan2(-im(x2), -re(x2))/3))/4)/1056