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Expresiones idénticas
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- 2+x4+2*x-12=0
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Expresiones semejantes
- 2+x^4-2*x^-12=0
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2+x^4+2*x^-12=0 la ecuación
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[src]
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|- ------------------------------ + ------------------------------|||| | | |atan|- ------------------------------ + ------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |cos|-----------------------------------------------------------------------||| | |cos|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------|||| / |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x1 = - 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------| - I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{1} = - \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} - i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|- ------------------------------ + ------------------------------|||| | | |atan|- ------------------------------ + ------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |cos|-----------------------------------------------------------------------||| | |cos|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------|||| / |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x2 = - 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------| + I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{2} = - \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} + i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|- ------------------------------ + ------------------------------|||| | | |atan|- ------------------------------ + ------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |cos|-----------------------------------------------------------------------||| | |cos|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------|||| / |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x3 = 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------| - I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{3} = \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} - i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|- ------------------------------ + ------------------------------|||| | | |atan|- ------------------------------ + ------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |cos|-----------------------------------------------------------------------||| | |cos|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------|||| / |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x4 = 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------| + I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{4} = \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} + i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|- ------------------------------ + ------------------------------|||| | | |atan|- ------------------------------ + ------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |cos|-----------------------------------------------------------------------||| | |cos|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------|||| / |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x5 = - 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------| - I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{5} = - \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} - i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|- ------------------------------ + ------------------------------|||| | | |atan|- ------------------------------ + ------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |cos|-----------------------------------------------------------------------||| | |cos|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------|||| / |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x6 = - 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------| + I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{6} = - \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} + i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|- ------------------------------ + ------------------------------|||| | | |atan|- ------------------------------ + ------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |cos|-----------------------------------------------------------------------||| | |cos|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------|||| / |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x7 = 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------| - I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{7} = \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} - i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|- ------------------------------ + ------------------------------|||| | | |atan|- ------------------------------ + ------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |cos|-----------------------------------------------------------------------||| | |cos|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------|||| / |atan|- ------------------------------ + ------------------------------|| |atan|- ------------------------------ + ------------------------------|| | | |atan|- ------------------------------ + ------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------||| | | | | 1 + \/ 2 *\/ 5 *cos|---------| 1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *cos|---------| - \/ 2 *\/ 5 *sin|---------| *sin |-----------------------------------------------------------------------| | |sin|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x8 = 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------| + I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{8} = \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} + i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\cos{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\sin{\left(\frac{\operatorname{atan}{\left(- \frac{1}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|------------------------------- + -------------------------------|||| | | |atan|------------------------------- + -------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |sin|-----------------------------------------------------------------------||| | |sin|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------|||| / |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x9 = - 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------| - I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{9} = - \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} - i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|------------------------------- + -------------------------------|||| | | |atan|------------------------------- + -------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |sin|-----------------------------------------------------------------------||| | |sin|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------|||| / |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x10 = - 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------| + I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{10} = - \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} + i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|------------------------------- + -------------------------------|||| | | |atan|------------------------------- + -------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |sin|-----------------------------------------------------------------------||| | |sin|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------|||| / |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x11 = 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------| - I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{11} = \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} - i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|------------------------------- + -------------------------------|||| | | |atan|------------------------------- + -------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |sin|-----------------------------------------------------------------------||| | |sin|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------|||| / |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x12 = 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------| + I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{12} = \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} + i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|------------------------------- + -------------------------------|||| | | |atan|------------------------------- + -------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |sin|-----------------------------------------------------------------------||| | |sin|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------|||| / |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x13 = - 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------| - I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{13} = - \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} - i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|------------------------------- + -------------------------------|||| | | |atan|------------------------------- + -------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |sin|-----------------------------------------------------------------------||| | |sin|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------|||| / |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x14 = - 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------| + I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{14} = - \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} + i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|------------------------------- + -------------------------------|||| | | |atan|------------------------------- + -------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |sin|-----------------------------------------------------------------------||| | |sin|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------|||| / |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x15 = 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------| - I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{15} = \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} - i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
/ / / / ___ 4 ___ /atan(1/2)\ \\\\ / / / / ___ 4 ___ /atan(1/2)\ \\\\
| | | | \/ 2 *\/ 5 *sin|---------| |||| | | | | \/ 2 *\/ 5 *sin|---------| ||||
| | | | 1 \ 2 / |||| | | | | 1 \ 2 / ||||
| | |atan|------------------------------- + -------------------------------|||| | | |atan|------------------------------- + -------------------------------||||
| | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
| | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
| | | \ \ 2 / \ 2 //||| | | | \ \ 2 / \ 2 //|||
| |sin|-----------------------------------------------------------------------||| | |sin|-----------------------------------------------------------------------|||
| | \ 2 /|| | | \ 2 /||
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------|| _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ |atan|----------------------------------------------------------------------------||
/ / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\|| / / / ___ 4 ___ /atan(1/2)\ \\ / / ___ 4 ___ /atan(1/2)\ \\ | | / / ___ 4 ___ /atan(1/2)\ \\||
/ | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| |||| / | | \/ 2 *\/ 5 *sin|---------| || | | \/ 2 *\/ 5 *sin|---------| || | | | | \/ 2 *\/ 5 *sin|---------| ||||
/ | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / |||| / | | 1 \ 2 / || | | 1 \ 2 / || | | | | 1 \ 2 / ||||
/ |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------|||| / |atan|------------------------------- + -------------------------------|| |atan|------------------------------- + -------------------------------|| | | |atan|------------------------------- + -------------------------------||||
/ | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|||| / | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\|| | | | | ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\||||
/ _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||||| / _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| _____________________________________________________________________________________________________________ | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------||| | | | |-1 + \/ 2 *\/ 5 *cos|---------| -1 + \/ 2 *\/ 5 *cos|---------|||||
/ ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //||| / ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| ___ / ___ 2/atan(1/2)\ ___ 2/atan(1/2)\ ___ 4 ___ /atan(1/2)\ ___ 4 ___ /atan(1/2)\ 2| \ \ 2 / \ 2 //| | | | \ \ 2 / \ 2 //|||
/ \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------||| / \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *cos |-----------------------------------------------------------------------| \/ 2 * / 1 + \/ 5 *cos |---------| + \/ 5 *sin |---------| + \/ 2 *\/ 5 *sin|---------| - \/ 2 *\/ 5 *cos|---------| *sin |-----------------------------------------------------------------------| | |cos|-----------------------------------------------------------------------|||
/ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //| / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / | \ \ 2 //|
x16 = 4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *cos|----------------------------------------------------------------------------------| + I*4 / ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- *sin|----------------------------------------------------------------------------------|
\/ 2 2 \ 2 / \/ 2 2 \ 2 /
$$x_{16} = \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)} + i \sqrt[4]{\frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2} + \frac{\sqrt{2} \sqrt{- \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{5} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)} + 1 + \sqrt{5} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}}{\cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{2} \sqrt[4]{5} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} + \frac{1}{-1 + \sqrt{2} \sqrt[4]{5} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1}{2} \right)}}{2} \right)}} \right)}}{2} \right)}} \right)}}{2} \right)}$$
x16 = (sqrt(2)*sqrt(-sqrt(2)*5^(1/4)*cos(atan(1/2)/2) + sqrt(5)*sin(atan(1/2)/2)^2 + sqrt(2)*5^(1/4)*sin(atan(1/2)/2) + 1 + sqrt(5)*cos(atan(1/2)/2)^2)*sin(atan(sqrt(2)*5^(1/4)*sin(atan(1/2)/2)/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)) + 1/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)))/2)^2/2 + sqrt(2)*sqrt(-sqrt(2)*5^(1/4)*cos(atan(1/2)/2) + sqrt(5)*sin(atan(1/2)/2)^2 + sqrt(2)*5^(1/4)*sin(atan(1/2)/2) + 1 + sqrt(5)*cos(atan(1/2)/2)^2)*cos(atan(sqrt(2)*5^(1/4)*sin(atan(1/2)/2)/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)) + 1/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)))/2)^2/2)^(1/4)*cos(atan(sin(atan(sqrt(2)*5^(1/4)*sin(atan(1/2)/2)/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)) + 1/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)))/2)/cos(atan(sqrt(2)*5^(1/4)*sin(atan(1/2)/2)/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)) + 1/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)))/2))/2) + i*(sqrt(2)*sqrt(-sqrt(2)*5^(1/4)*cos(atan(1/2)/2) + sqrt(5)*sin(atan(1/2)/2)^2 + sqrt(2)*5^(1/4)*sin(atan(1/2)/2) + 1 + sqrt(5)*cos(atan(1/2)/2)^2)*sin(atan(sqrt(2)*5^(1/4)*sin(atan(1/2)/2)/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)) + 1/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)))/2)^2/2 + sqrt(2)*sqrt(-sqrt(2)*5^(1/4)*cos(atan(1/2)/2) + sqrt(5)*sin(atan(1/2)/2)^2 + sqrt(2)*5^(1/4)*sin(atan(1/2)/2) + 1 + sqrt(5)*cos(atan(1/2)/2)^2)*cos(atan(sqrt(2)*5^(1/4)*sin(atan(1/2)/2)/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)) + 1/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)))/2)^2/2)^(1/4)*sin(atan(sin(atan(sqrt(2)*5^(1/4)*sin(atan(1/2)/2)/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)) + 1/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)))/2)/cos(atan(sqrt(2)*5^(1/4)*sin(atan(1/2)/2)/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)) + 1/(-1 + sqrt(2)*5^(1/4)*cos(atan(1/2)/2)))/2))/2)
Respuesta numérica
[src]
x1 = 0.75552207734155 - 0.821215340091038*i
x2 = 0.75552207734155 + 0.821215340091038*i
x3 = -0.75552207734155 - 0.821215340091038*i
x4 = -0.75552207734155 + 0.821215340091038*i
x5 = -0.821215340091038 + 0.75552207734155*i
x6 = -0.821215340091038 - 0.75552207734155*i
x7 = 0.821215340091038 + 0.75552207734155*i
x8 = 0.821215340091038 - 0.75552207734155*i
x9 = -0.230387083143354 - 0.949709686023622*i
x10 = -0.230387083143354 + 0.949709686023622*i
x11 = 0.230387083143354 - 0.949709686023622*i
x12 = 0.230387083143354 + 0.949709686023622*i
x13 = -0.949709686023622 - 0.230387083143354*i
x14 = -0.949709686023622 + 0.230387083143354*i
x15 = 0.949709686023622 - 0.230387083143354*i
x16 = 0.949709686023622 + 0.230387083143354*i
x16 = 0.949709686023622 + 0.230387083143354*i