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La ecuación:
Ecuación (3x−36)⋅(x+8)=0
Ecuación x+y-4=0
Ecuación 4-x/7=x/9
Ecuación z^4=1
Expresar {x} en función de y en la ecuación:
4*x-1*y=-3
9*x+17*y=13
-2*x-19*y=3
6*x+17*y=-11
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
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(x+2)-sqrt(x-6)=2
sqrt(4+2x−x^2)=x−2.
sqrt(5+2*x)=8+-sqrt(x-1)
sqrt(2x^2-5x+1)=x-1
sqrt(3*x+1)=x-1

sqrt((a-bw^2)^2+(cw)^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}

Simplificar

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}

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                                                                                                                                                                                                                                                                                            |     |        / 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

producto

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|                                                                                                                                                                                                                                                                                       |     |    |  /                 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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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     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)

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