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- La ecuación:
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Ecuación 2+x=6
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Ecuación -20-x=-13
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Ecuación -0,6x^2+18=0
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Ecuación 1/(1+e^(-x))=0.49
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- 4*x-4*y=-19
- 2*x-16*y=14
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Expresiones idénticas
- ((x+ uno)^ dos)*((x- tres)^ dos)=а
- ((x más 1) al cuadrado ) multiplicar por ((x menos 3) al cuadrado ) es igual a а
- ((x más uno) en el grado dos) multiplicar por ((x menos tres) en el grado dos) es igual a а
- ((x+1)2)*((x-3)2)=а
- x+12*x-32=а
- ((x+1)²)*((x-3)²)=а
- ((x+1) en el grado 2)*((x-3) en el grado 2)=а
- ((x+1)^2)((x-3)^2)=а
- ((x+1)2)((x-3)2)=а
- x+12x-32=а
- x+1^2x-3^2=а
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Expresiones semejantes
- ((x-1)^2)*((x-3)^2)=а
- ((x+1)^2)*((x+3)^2)=а
((x+1)^2)*((x-3)^2)=а la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Respuesta rápida
[src]
_______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\
/ 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||
/ / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------|||
/ | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|
x1 = 1 - 4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|--------------------------------------------------------------------------------------------------------| - I*4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|--------------------------------------------------------------------------------------------------------|
\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 /
$$x_{1} = - i \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1$$
_______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\
/ 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||
/ / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------|||
/ | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|
x2 = 1 - 4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|-------------------------------------------------------------------------------------------------------| - I*4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|-------------------------------------------------------------------------------------------------------|
\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 /
$$x_{2} = - i \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1$$
_______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\
/ 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||
/ / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------|||
/ | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|
x3 = 1 + 4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|--------------------------------------------------------------------------------------------------------| + I*4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|--------------------------------------------------------------------------------------------------------|
\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 /
$$x_{3} = i \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1$$
_______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\
/ 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||
/ / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------|||
/ | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|
x4 = 1 + 4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|-------------------------------------------------------------------------------------------------------| + I*4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|-------------------------------------------------------------------------------------------------------|
\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 /
$$x_{4} = i \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1$$
x4 = i*(((re(a)^2 + im(a)^2)^(1/4)*cos(atan2(im(a, re(a))/2) + 4)^2 + sqrt(re(a)^2 + im(a)^2)*sin(atan2(im(a), re(a))/2)^2)^(1/4)*sin(atan2((re(a)^2 + im(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), (re(a)^2 + im(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2) + 4)/2) + (((re(a)^2 + im(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2) + 4)^2 + sqrt(re(a)^2 + im(a)^2)*sin(atan2(im(a), re(a))/2)^2)^(1/4)*cos(atan2((re(a)^2 + im(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), (re(a)^2 + im(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2) + 4)/2) + 1)
Suma y producto de raíces
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suma
_______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\
/ 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||
/ / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------|||
/ | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|
1 - 4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|--------------------------------------------------------------------------------------------------------| - I*4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|--------------------------------------------------------------------------------------------------------| + 1 - 4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|-------------------------------------------------------------------------------------------------------| - I*4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|-------------------------------------------------------------------------------------------------------| + 1 + 4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|--------------------------------------------------------------------------------------------------------| + I*4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|--------------------------------------------------------------------------------------------------------| + 1 + 4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|-------------------------------------------------------------------------------------------------------| + I*4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|-------------------------------------------------------------------------------------------------------|
\/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 /
$$\left(\left(\left(- i \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right) + \left(- i \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right)\right) + \left(i \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right)\right) + \left(i \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right)$$
=
4
$$4$$
producto
/ _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\\ / _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\\ / _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\\ / _______________________________________________________________________________________________________ / / _________________ _________________ \\ _______________________________________________________________________________________________________ / / _________________ _________________ \\\ | / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||| | / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||| | / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||| | / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| / 2 | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||| | / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------|||| | / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------|||| | / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------|||| | / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / / _________________ \ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------|||| | / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|| | / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|| | / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|| | / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / | 4 / 2 2 /atan2(im(a), re(a))\| / 2 2 2/atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|| |1 - 4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|--------------------------------------------------------------------------------------------------------| - I*4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|--------------------------------------------------------------------------------------------------------||*|1 - 4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|-------------------------------------------------------------------------------------------------------| - I*4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|-------------------------------------------------------------------------------------------------------||*|1 + 4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|--------------------------------------------------------------------------------------------------------| + I*4 / |4 - \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|--------------------------------------------------------------------------------------------------------||*|1 + 4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *cos|-------------------------------------------------------------------------------------------------------| + I*4 / |4 + \/ im (a) + re (a) *cos|-------------------|| + \/ im (a) + re (a) *sin |-------------------| *sin|-------------------------------------------------------------------------------------------------------|| \ \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 // \ \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 // \ \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 // \ \/ \ \ 2 // \ 2 / \ 2 / \/ \ \ 2 // \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right) \left(- i \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right) \left(i \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right) \left(i \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4\right)^{2} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right)$$
=
/ / / _________________ _________________ \\ / / _________________ _________________ \\\ / / / _________________ _________________ \\ / / _________________ _________________ \\\ / / / _________________ _________________ \\ / / _________________ _________________ \\\ / / / _________________ _________________ \\ / / _________________ _________________ \\\ | _____________________________________________________________________________ | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| _____________________________________________________________________________ | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||| | _____________________________________________________________________________ | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| _____________________________________________________________________________ | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||| | _____________________________________________________________________________ | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| _____________________________________________________________________________ | | 4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||| | _____________________________________________________________________________ | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\|| _____________________________________________________________________________ | |4 / 2 2 /atan2(im(a), re(a))\ 4 / 2 2 /atan2(im(a), re(a))\||| | / _________________ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / _________________ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------|||| | / _________________ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / _________________ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------|||| | / _________________ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------||| / _________________ _________________ |atan2|-\/ im (a) + re (a) *sin|-------------------|, 4 - \/ im (a) + re (a) *cos|-------------------|||| | / _________________ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------||| / _________________ _________________ |atan2|\/ im (a) + re (a) *sin|-------------------|, 4 + \/ im (a) + re (a) *cos|-------------------|||| | / / 2 2 4 / 2 2 /atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / / 2 2 4 / 2 2 /atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|| | / / 2 2 4 / 2 2 /atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / / 2 2 4 / 2 2 /atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|| | / / 2 2 4 / 2 2 /atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / / 2 2 4 / 2 2 /atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|| | / / 2 2 4 / 2 2 /atan2(im(a), re(a))\ | \ \ 2 / \ 2 //| / / 2 2 4 / 2 2 /atan2(im(a), re(a))\ | \ \ 2 / \ 2 //|| |1 + 4 / 16 + \/ im (a) + re (a) - 8*\/ im (a) + re (a) *cos|-------------------| *cos|--------------------------------------------------------------------------------------------------------| + I*4 / 16 + \/ im (a) + re (a) - 8*\/ im (a) + re (a) *cos|-------------------| *sin|--------------------------------------------------------------------------------------------------------||*|1 + 4 / 16 + \/ im (a) + re (a) + 8*\/ im (a) + re (a) *cos|-------------------| *cos|-------------------------------------------------------------------------------------------------------| + I*4 / 16 + \/ im (a) + re (a) + 8*\/ im (a) + re (a) *cos|-------------------| *sin|-------------------------------------------------------------------------------------------------------||*|-1 + 4 / 16 + \/ im (a) + re (a) - 8*\/ im (a) + re (a) *cos|-------------------| *cos|--------------------------------------------------------------------------------------------------------| + I*4 / 16 + \/ im (a) + re (a) - 8*\/ im (a) + re (a) *cos|-------------------| *sin|--------------------------------------------------------------------------------------------------------||*|-1 + 4 / 16 + \/ im (a) + re (a) + 8*\/ im (a) + re (a) *cos|-------------------| *cos|-------------------------------------------------------------------------------------------------------| + I*4 / 16 + \/ im (a) + re (a) + 8*\/ im (a) + re (a) *cos|-------------------| *sin|-------------------------------------------------------------------------------------------------------|| \ \/ \ 2 / \ 2 / \/ \ 2 / \ 2 // \ \/ \ 2 / \ 2 / \/ \ 2 / \ 2 // \ \/ \ 2 / \ 2 / \/ \ 2 / \ 2 // \ \/ \ 2 / \ 2 / \/ \ 2 / \ 2 //
$$\left(i \sqrt[4]{- 8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + 16} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{- 8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + 16} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} - 1\right) \left(i \sqrt[4]{- 8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + 16} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{- 8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + 16} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},- \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right) \left(i \sqrt[4]{8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + 16} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + 16} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} - 1\right) \left(i \sqrt[4]{8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + 16} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + \sqrt[4]{8 \sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} + 16} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)},\sqrt[4]{\left(\operatorname{re}{\left(a\right)}\right)^{2} + \left(\operatorname{im}{\left(a\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(a\right)},\operatorname{re}{\left(a\right)} \right)}}{2} \right)} + 4 \right)}}{2} \right)} + 1\right)$$
(1 + (16 + sqrt(im(a)^2 + re(a)^2) - 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))^(1/4)*cos(atan2(-(im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), 4 - (im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))/2) + i*(16 + sqrt(im(a)^2 + re(a)^2) - 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))^(1/4)*sin(atan2(-(im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), 4 - (im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))/2))*(1 + (16 + sqrt(im(a)^2 + re(a)^2) + 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))^(1/4)*cos(atan2((im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), 4 + (im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))/2) + i*(16 + sqrt(im(a)^2 + re(a)^2) + 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))^(1/4)*sin(atan2((im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), 4 + (im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))/2))*(-1 + (16 + sqrt(im(a)^2 + re(a)^2) - 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))^(1/4)*cos(atan2(-(im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), 4 - (im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))/2) + i*(16 + sqrt(im(a)^2 + re(a)^2) - 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))^(1/4)*sin(atan2(-(im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), 4 - (im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))/2))*(-1 + (16 + sqrt(im(a)^2 + re(a)^2) + 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))^(1/4)*cos(atan2((im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), 4 + (im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))/2) + i*(16 + sqrt(im(a)^2 + re(a)^2) + 8*(im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))^(1/4)*sin(atan2((im(a)^2 + re(a)^2)^(1/4)*sin(atan2(im(a), re(a))/2), 4 + (im(a)^2 + re(a)^2)^(1/4)*cos(atan2(im(a), re(a))/2))/2))