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- La ecuación:
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Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
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Expresiones idénticas
- sqrt((a-b*w^ dos)^ dos +(c*w)^ dos)=(diecinueve / diez)*w
- raíz cuadrada de ((a menos b multiplicar por w al cuadrado ) al cuadrado más (c multiplicar por w) al cuadrado ) es igual a (19 dividir por 10) multiplicar por w
- raíz cuadrada de ((a menos b multiplicar por w en el grado dos) en el grado dos más (c multiplicar por w) en el grado dos) es igual a (diecinueve dividir por diez) multiplicar por w
- √((a-b*w^2)^2+(c*w)^2)=(19/10)*w
- sqrt((a-b*w2)2+(c*w)2)=(19/10)*w
- sqrta-b*w22+c*w2=19/10*w
- sqrt((a-b*w²)²+(c*w)²)=(19/10)*w
- sqrt((a-b*w en el grado 2) en el grado 2+(c*w) en el grado 2)=(19/10)*w
- sqrt((a-bw^2)^2+(cw)^2)=(19/10)w
- sqrt((a-bw2)2+(cw)2)=(19/10)w
- sqrta-bw22+cw2=19/10w
- sqrta-bw^2^2+cw^2=19/10w
- sqrt((a-b*w^2)^2+(c*w)^2)=(19 dividir por 10)*w
-
Expresiones semejantes
- sqrt((a+b*w^2)^2+(c*w)^2)=(19/10)*w
- sqrt((a-b*w^2)^2-(c*w)^2)=(19/10)*w
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(0*x+0)=0
- sqrt(5+2*x)=8+-sqrt(x-1)
- sqrt(4*x^2+4*x-6)=2
- sqrt(3*x+1)=x-1
- sqrt3x+1=-9
sqrt((a-b*w^2)^2+(c*w)^2)=(19/10)*w la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
______________________
/ 2
/ / 2\ 2 19*w
\/ \a - b*w / + (c*w) = ----
10
$$\sqrt{\left(c w\right)^{2} + \left(a - b w^{2}\right)^{2}} = \frac{19 w}{10}$$
Gráfica
Respuesta rápida
[src]
/ / / __________________________________________________________\ / __________________________________________________________\ \\ / / / __________________________________________________________\ / __________________________________________________________\ \\
| | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 || | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 ||
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) || __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) ||
/ 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------|| / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------||
/ / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2|| / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2||
/ | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ || / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ ||
___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|
\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
/ | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 / / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 /
4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ |
\/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ /
w1 = - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 20
$$w_{1} = - \frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} - \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}$$
/ / / __________________________________________________________\ / __________________________________________________________\ \\ / / / __________________________________________________________\ / __________________________________________________________\ \\
| | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 || | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 ||
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) || __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) ||
/ 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------|| / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------||
/ / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2|| / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2||
/ | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ || / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ ||
___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|
\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
/ | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 / / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 /
4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ |
\/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ /
w2 = ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 20
$$w_{2} = \frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} + \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}$$
/ / / __________________________________________________________\ / __________________________________________________________\\\ / / / __________________________________________________________\ / __________________________________________________________\\\
| | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 ||| | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 |||
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c |||
/ 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------||| / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|||
/ / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 ||| / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 |||
/ | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /|| / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /||
___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|
\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
/ | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 / / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 /
4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /|
\/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ /
w3 = - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 20
$$w_{3} = - \frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} - \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}$$
/ / / __________________________________________________________\ / __________________________________________________________\\\ / / / __________________________________________________________\ / __________________________________________________________\\\
| | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 ||| | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 |||
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c |||
/ 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------||| / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|||
/ / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 ||| / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 |||
/ | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /|| / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /||
___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|
\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
/ | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 / / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 /
4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /|
\/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ /
w4 = ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 20
$$w_{4} = \frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} + \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}$$
w4 = sqrt(2)*i*((200*im(a/b) - 100*im(c^2/b^2) + im(sqrt(-40000*a*b*c^2 + 144400*a*b + 10000*c^4 - 72200*c^2 + 130321)/b^2) - 722*re(b)*im(b)/(re(b)^2 + im(b)^2)^2)^2 + (200*re(a/b) - 100*re(c^2/b^2) + re(sqrt(-40000*a*b*c^2 + 144400*a*b + 10000*c^4 - 72200*c^2 + 130321)/b^2) + 361*re(b)^2/(re(b)^2 + im(b)^2)^2 - 361*im(b)^2/(re(b)^2 + im(b)^2)^2)^2)^(1/4)*sin(atan2(200*im(a/b) - 100*im(c^2/b^2) + im(sqrt(-40000*a*b*c^2 + 144400*a*b + 10000*c^4 - 72200*c^2 + 130321)/b^2) - 722*re(b)*im(b)/(re(b)^2 + im(b)^2^2, 200*re(a/b) - 100*re(c^2/b^2) + re(sqrt(-40000*a*b*c^2 + 144400*a*b + 10000*c^4 - 72200*c^2 + 130321)/b^2) + 361*re(b)^2/(re(b)^2 + im(b)^2)^2 - 361*im(b)^2/(re(b)^2 + im(b)^2)^2)/2)/20 + sqrt(2)*((200*im(a/b) - 100*im(c^2/b^2) + im(sqrt(-40000*a*b*c^2 + 144400*a*b + 10000*c^4 - 72200*c^2 + 130321)/b^2) - 722*re(b)*im(b)/(re(b)^2 + im(b)^2)^2)^2 + (200*re(a/b) - 100*re(c^2/b^2) + re(sqrt(-40000*a*b*c^2 + 144400*a*b + 10000*c^4 - 72200*c^2 + 130321)/b^2) + 361*re(b)^2/(re(b)^2 + im(b)^2)^2 - 361*im(b)^2/(re(b)^2 + im(b)^2)^2)^2)^(1/4)*cos(atan2(200*im(a/b) - 100*im(c^2/b^2) + im(sqrt(-40000*a*b*c^2 + 144400*a*b + 10000*c^4 - 72200*c^2 + 130321)/b^2) - 722*re(b)*im(b)/(re(b)^2 + im(b)^2)^2, 200*re(a/b) - 100*re(c^2/b^2) + re(sqrt(-40000*a*b*c^2 + 144400*a*b + 10000*c^4 - 72200*c^2 + 130321)/b^2) + 361*re(b)^2/(re(b)^2 + im(b)^2)^2 - 361*im(b)^2/(re(b)^2 + im(b)^2)^2)/2)/20)
Suma y producto de raíces
[src]
suma
/ / / __________________________________________________________\ / __________________________________________________________\ \\ / / / __________________________________________________________\ / __________________________________________________________\ \\ / / / __________________________________________________________\ / __________________________________________________________\ \\ / / / __________________________________________________________\ / __________________________________________________________\ \\ / / / __________________________________________________________\ / __________________________________________________________\\\ / / / __________________________________________________________\ / __________________________________________________________\\\ / / / __________________________________________________________\ / __________________________________________________________\\\ / / / __________________________________________________________\ / __________________________________________________________\\\
| | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 || | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 || | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 || | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 || | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 ||| | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 ||| | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 ||| | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 |||
__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) || __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) || __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) || __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) || __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c |||
/ 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------|| / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------|| / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------|| / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------|| / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------||| / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------||| / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------||| / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|||
/ / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2|| / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2|| / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2|| / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2|| / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 ||| / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 ||| / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 ||| / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 |||
/ | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ || / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ || / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ || / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ || / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /|| / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /|| / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /|| / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /||
___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|
\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
/ | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 / / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 / / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 / / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 / / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 / / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 / / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 / / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 /
4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /|
\/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ /
- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
20 20 20 20 20 20 20 20
$$\left(\frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} + \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}\right) + \left(\left(- \frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} - \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}\right) + \left(\left(- \frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} - \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}\right) + \left(\frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} + \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}\right)\right)\right)$$
=
0
$$0$$
producto
/ / / / __________________________________________________________\ / __________________________________________________________\ \\ / / / __________________________________________________________\ / __________________________________________________________\ \\\ / / / / __________________________________________________________\ / __________________________________________________________\ \\ / / / __________________________________________________________\ / __________________________________________________________\ \\\ / / / / __________________________________________________________\ / __________________________________________________________\\\ / / / __________________________________________________________\ / __________________________________________________________\\\\ / / / / __________________________________________________________\ / __________________________________________________________\\\ / / / __________________________________________________________\ / __________________________________________________________\\\\ | | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 || | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 ||| | | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 || | | | / 2 4 2 | / 2\ | / 2 4 2 | / 2\ 2 2 ||| | | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 ||| | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 |||| | | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 ||| | | / 2\ | / 2 4 2 | / 2\ 2 2 | / 2 4 2 |||| | __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) || __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) ||| | __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) || __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) ||| | __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c |||| | __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c |||| | / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------|| / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------||| | / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------|| / 2 2 |atan2|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------, - re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------||| | / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------||| / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|||| | / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------||| / 2 2 |atan2|- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|, - 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|||| | / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2|| / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2||| | / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2|| / / / __________________________________________________________\ \ / / __________________________________________________________\ \ | | | 2 | | 2| \b/ 2 | 2 | | 2| \b/ 2 2||| | / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 ||| / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 |||| | / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 ||| / / / __________________________________________________________\\ / / __________________________________________________________\\ | | | 2| \b/ 2 | 2 | | 2| \b/ 2 2 | 2 |||| | / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ || / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ ||| | / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ || / | | / 2 4 2 | / 2\ | | | / 2 4 2 | / 2\ 2 2 | | | \ b / \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ ||| | / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /|| / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /||| | / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /|| / | / 2\ | / 2 4 2 || | / 2\ 2 2 | / 2 4 2 || | | \b / / 2 2 \ \ b / \b / / 2 2 \ / 2 2 \ \ b /||| | ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|| | ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 722*im(b)*re(b) | | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\ 361*im (b) 361*re (b) | | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|| | ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|| | ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /| ___ / | |c | /a\ 722*im(b)*re(b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | |c | /a\ 361*im (b) 361*re (b) |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | \ \im (b) + re (b)/ \im (b) + re (b)/ \im (b) + re (b)/ /|| | \/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-| - ------------------| + |- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-| - ------------------ + ------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | \/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| I*\/ 2 * / |- 100*im|--| + 200*im|-| - ------------------ + im|-------------------------------------------------------------|| + |- 100*re|--| + 200*re|-| - ------------------ + ------------------ + re|-------------------------------------------------------------|| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 / / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 /| | / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 / / | | 2 | | 2| \b/ 2| | | 2 | | 2| \b/ 2 2| \ 2 /| | / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 / / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 /| | / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 / / | | 2| \b/ 2 | 2 || | | 2| \b/ 2 2 | 2 || \ 2 /| | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | | | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | 4 / | \ b / \b / / 2 2 \ | | \ b / \b / / 2 2 \ / 2 2 \ | | | 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| | | 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| 4 / | \b / / 2 2 \ \ b /| | \b / / 2 2 \ / 2 2 \ \ b /| | | \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / | | \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / | | \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / | | \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / \/ \ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ / | |- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 20 20 / \ 20 20 / \ 20 20 / \ 20 20 /
$$\left(- \frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} - \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}\right) \left(\frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} + \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}\right) \left(- \frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} - \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}\right) \left(\frac{\sqrt{2} i \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20} + \frac{\sqrt{2} \sqrt[4]{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2} + \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} - \frac{722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)} + \frac{361 \left(\operatorname{re}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} - \frac{361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}{2} \right)}}{20}\right)$$
=
/ / / __________________________________________________________\ \ / / __________________________________________________________\ \\ / / / __________________________________________________________\\ / / __________________________________________________________\\\
| 2 | | / 2 4 2 | / 2\ | 2 | | / 2 4 2 | / 2\ || | 2 | / 2\ | / 2 4 2 || 2 | / 2\ | / 2 4 2 |||
|/ 2 2 \ | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\| 2 2 / 2 2 \ | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c | |c | /a\|| |/ 2 2 \ | |c | /a\ |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || 2 2 / 2 2 \ | |c | /a\ |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c |||
|\im (b) + re (b)/ *|- im|-------------------------------------------------------------| - 100*im|--| + 200*im|-|| - 722*im(b)*re(b) - 361*im (b) + 361*re (b) + \im (b) + re (b)/ *|- re|-------------------------------------------------------------| - 100*re|--| + 200*re|-||| |\im (b) + re (b)/ *|- 100*im|--| + 200*im|-| + im|-------------------------------------------------------------|| - 722*im(b)*re(b) - 361*im (b) + 361*re (b) + \im (b) + re (b)/ *|- 100*re|--| + 200*re|-| + re|-------------------------------------------------------------|||
| | | 2 | | 2| \b/| | | 2 | | 2| \b/|| | | | 2| \b/ | 2 || | | 2| \b/ | 2 |||
___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | \ \ b / \b / / \ \ b / \b / /| | \ \b / \ b // \ \b / \ b //|
/ 2 2 / 2 2 I*atan2|-----------------------------------------------------------------------------------------------------------------------------------, ---------------------------------------------------------------------------------------------------------------------------------------------| + I*atan2|-----------------------------------------------------------------------------------------------------------------------------------, ---------------------------------------------------------------------------------------------------------------------------------------------|
/ / / / __________________________________________________________\\ \ / / / __________________________________________________________\\\ / / / / __________________________________________________________\\ \ / / / __________________________________________________________\\\ | 2 2 | | 2 2 |
/ | 2 | / 2\ | / 2 4 2 || | | 2 | / 2\ | / 2 4 2 ||| / | 2 | / 2\ | / 2 4 2 || | | 2 | / 2\ | / 2 4 2 ||| | / 2 2 \ / 2 2 \ | | / 2 2 \ / 2 2 \ |
/ |/ 2 2 \ | /a\ |c | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | | 2 2 / 2 2 \ | /a\ |c | |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| / |/ 2 2 \ | |c | /a\ |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c || | | 2 2 / 2 2 \ | |c | /a\ |\/ 130321 - 72200*c + 10000*c + 144400*a*b - 40000*a*b*c ||| \ \im (b) + re (b)/ \im (b) + re (b)/ / \ \im (b) + re (b)/ \im (b) + re (b)/ /
/ |\im (b) + re (b)/ *|- 200*im|-| + 100*im|--| + im|-------------------------------------------------------------|| + 722*im(b)*re(b)| + |- 361*re (b) + 361*im (b) + \im (b) + re (b)/ *|- 200*re|-| + 100*re|--| + re|-------------------------------------------------------------||| * / |\im (b) + re (b)/ *|- 100*im|--| + 200*im|-| + im|-------------------------------------------------------------|| - 722*im(b)*re(b)| + |- 361*im (b) + 361*re (b) + \im (b) + re (b)/ *|- 100*re|--| + 200*re|-| + re|-------------------------------------------------------------||| *e
/ | | \b/ | 2| | 2 || | | | \b/ | 2| | 2 ||| / | | | 2| \b/ | 2 || | | | | 2| \b/ | 2 |||
\/ \ \ \b / \ b // / \ \ \b / \ b /// \/ \ \ \b / \ b // / \ \ \b / \ b ///
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4
/ 2 2 \
40000*\im (b) + re (b)/
$$\frac{\sqrt{\left(\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2} \left(- 200 \operatorname{im}{\left(\frac{a}{b}\right)} + 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)}\right) + 722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}\right)^{2} + \left(\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2} \left(- 200 \operatorname{re}{\left(\frac{a}{b}\right)} + 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)}\right) - 361 \left(\operatorname{re}{\left(b\right)}\right)^{2} + 361 \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \sqrt{\left(\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2} \left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)}\right) - 722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}\right)^{2} + \left(\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2} \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)}\right) + 361 \left(\operatorname{re}{\left(b\right)}\right)^{2} - 361 \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(\frac{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2} \left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)}\right) - 722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},\frac{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2} \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} - \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)}\right) + 361 \left(\operatorname{re}{\left(b\right)}\right)^{2} - 361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)} + i \operatorname{atan_{2}}{\left(\frac{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2} \left(200 \operatorname{im}{\left(\frac{a}{b}\right)} - 100 \operatorname{im}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{im}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)}\right) - 722 \operatorname{re}{\left(b\right)} \operatorname{im}{\left(b\right)}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}},\frac{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2} \left(200 \operatorname{re}{\left(\frac{a}{b}\right)} - 100 \operatorname{re}{\left(\frac{c^{2}}{b^{2}}\right)} + \operatorname{re}{\left(\frac{\sqrt{- 40000 a b c^{2} + 144400 a b + 10000 c^{4} - 72200 c^{2} + 130321}}{b^{2}}\right)}\right) + 361 \left(\operatorname{re}{\left(b\right)}\right)^{2} - 361 \left(\operatorname{im}{\left(b\right)}\right)^{2}}{\left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{2}} \right)}}}{40000 \left(\left(\operatorname{re}{\left(b\right)}\right)^{2} + \left(\operatorname{im}{\left(b\right)}\right)^{2}\right)^{4}}$$
sqrt(((im(b)^2 + re(b)^2)^2*(-200*im(a/b) + 100*im(c^2/b^2) + im(sqrt(130321 - 72200*c^2 + 10000*c^4 + 144400*a*b - 40000*a*b*c^2)/b^2)) + 722*im(b)*re(b))^2 + (-361*re(b)^2 + 361*im(b)^2 + (im(b)^2 + re(b)^2)^2*(-200*re(a/b) + 100*re(c^2/b^2) + re(sqrt(130321 - 72200*c^2 + 10000*c^4 + 144400*a*b - 40000*a*b*c^2)/b^2)))^2)*sqrt(((im(b)^2 + re(b)^2)^2*(-100*im(c^2/b^2) + 200*im(a/b) + im(sqrt(130321 - 72200*c^2 + 10000*c^4 + 144400*a*b - 40000*a*b*c^2)/b^2)) - 722*im(b)*re(b))^2 + (-361*im(b)^2 + 361*re(b)^2 + (im(b)^2 + re(b)^2)^2*(-100*re(c^2/b^2) + 200*re(a/b) + re(sqrt(130321 - 72200*c^2 + 10000*c^4 + 144400*a*b - 40000*a*b*c^2)/b^2)))^2)*exp(i*atan2(((im(b)^2 + re(b)^2)^2*(-im(sqrt(130321 - 72200*c^2 + 10000*c^4 + 144400*a*b - 40000*a*b*c^2)/b^2) - 100*im(c^2/b^2) + 200*im(a/b)) - 722*im(b)*re(b))/(im(b)^2 + re(b)^2)^2, (-361*im(b)^2 + 361*re(b)^2 + (im(b)^2 + re(b)^2)^2*(-re(sqrt(130321 - 72200*c^2 + 10000*c^4 + 144400*a*b - 40000*a*b*c^2)/b^2) - 100*re(c^2/b^2) + 200*re(a/b)))/(im(b)^2 + re(b)^2)^2) + i*atan2(((im(b)^2 + re(b)^2)^2*(-100*im(c^2/b^2) + 200*im(a/b) + im(sqrt(130321 - 72200*c^2 + 10000*c^4 + 144400*a*b - 40000*a*b*c^2)/b^2)) - 722*im(b)*re(b))/(im(b)^2 + re(b)^2)^2, (-361*im(b)^2 + 361*re(b)^2 + (im(b)^2 + re(b)^2)^2*(-100*re(c^2/b^2) + 200*re(a/b) + re(sqrt(130321 - 72200*c^2 + 10000*c^4 + 144400*a*b - 40000*a*b*c^2)/b^2)))/(im(b)^2 + re(b)^2)^2))/(40000*(im(b)^2 + re(b)^2)^4)