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1/(a*x-1)-1/(a*x+1)*24*a^3-c-3*a^2-c=3*a la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1 24 3 2 ------- - -------*a - c - 3*a - c = 3*a a*x - 1 a*x + 1
$$- c + \left(- 3 a^{2} + \left(- c + \left(- a^{3} \frac{24}{a x + 1} + \frac{1}{a x - 1}\right)\right)\right) = 3 a$$
Solución detallada
Tenemos la ecuación:
$$- c + \left(- 3 a^{2} + \left(- c + \left(- a^{3} \frac{24}{a x + 1} + \frac{1}{a x - 1}\right)\right)\right) = 3 a$$
Multipliquemos las dos partes de la ecuación por los denominadores:
-1 + a*x y 1 + a*x
obtendremos:
$$\left(- c + \left(- 3 a^{2} + \left(- c + \left(- a^{3} \frac{24}{a x + 1} + \frac{1}{a x - 1}\right)\right)\right)\right) \left(a x - 1\right) = 3 a \left(a x - 1\right)$$
$$\frac{24 a^{3} \left(- a x + 1\right) + a x - \left(3 a^{2} + 2 c\right) \left(a x - 1\right) \left(a x + 1\right) + 1}{a x + 1} = 3 a \left(a x - 1\right)$$
$$\frac{24 a^{3} \left(- a x + 1\right) + a x - \left(3 a^{2} + 2 c\right) \left(a x - 1\right) \left(a x + 1\right) + 1}{a x + 1} \left(a x + 1\right) = 3 a \left(a x - 1\right) \left(a x + 1\right)$$
$$- 3 a^{4} x^{2} - 24 a^{4} x + 24 a^{3} - 2 a^{2} c x^{2} + 3 a^{2} + a x + 2 c + 1 = 3 a^{3} x^{2} - 3 a$$
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$- 3 a^{4} x^{2} - 24 a^{4} x + 24 a^{3} - 2 a^{2} c x^{2} + 3 a^{2} + a x + 2 c + 1 = 3 a^{3} x^{2} - 3 a$$
en
$$- 3 a^{4} x^{2} - 24 a^{4} x - 3 a^{3} x^{2} + 24 a^{3} - 2 a^{2} c x^{2} + 3 a^{2} + a x + 3 a + 2 c + 1 = 0$$
Es la ecuación de la forma
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = - 3 a^{4} - 3 a^{3} - 2 a^{2} c$$
$$b = - 24 a^{4} + a$$
$$c = 24 a^{3} + 3 a^{2} + 3 a + 2 c + 1$$
, entonces
La ecuación tiene dos raíces.
o
$$x_{1} = \frac{24 a^{4} - a + \sqrt{\left(- 24 a^{4} + a\right)^{2} - \left(- 12 a^{4} - 12 a^{3} - 8 a^{2} c\right) \left(24 a^{3} + 3 a^{2} + 3 a + 2 c + 1\right)}}{- 6 a^{4} - 6 a^{3} - 4 a^{2} c}$$
$$x_{2} = \frac{24 a^{4} - a - \sqrt{\left(- 24 a^{4} + a\right)^{2} - \left(- 12 a^{4} - 12 a^{3} - 8 a^{2} c\right) \left(24 a^{3} + 3 a^{2} + 3 a + 2 c + 1\right)}}{- 6 a^{4} - 6 a^{3} - 4 a^{2} c}$$
$$- c + \left(- 3 a^{2} + \left(- c + \left(- a^{3} \frac{24}{a x + 1} + \frac{1}{a x - 1}\right)\right)\right) = 3 a$$
Multipliquemos las dos partes de la ecuación por los denominadores:
-1 + a*x y 1 + a*x
obtendremos:
$$\left(- c + \left(- 3 a^{2} + \left(- c + \left(- a^{3} \frac{24}{a x + 1} + \frac{1}{a x - 1}\right)\right)\right)\right) \left(a x - 1\right) = 3 a \left(a x - 1\right)$$
$$\frac{24 a^{3} \left(- a x + 1\right) + a x - \left(3 a^{2} + 2 c\right) \left(a x - 1\right) \left(a x + 1\right) + 1}{a x + 1} = 3 a \left(a x - 1\right)$$
$$\frac{24 a^{3} \left(- a x + 1\right) + a x - \left(3 a^{2} + 2 c\right) \left(a x - 1\right) \left(a x + 1\right) + 1}{a x + 1} \left(a x + 1\right) = 3 a \left(a x - 1\right) \left(a x + 1\right)$$
$$- 3 a^{4} x^{2} - 24 a^{4} x + 24 a^{3} - 2 a^{2} c x^{2} + 3 a^{2} + a x + 2 c + 1 = 3 a^{3} x^{2} - 3 a$$
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$- 3 a^{4} x^{2} - 24 a^{4} x + 24 a^{3} - 2 a^{2} c x^{2} + 3 a^{2} + a x + 2 c + 1 = 3 a^{3} x^{2} - 3 a$$
en
$$- 3 a^{4} x^{2} - 24 a^{4} x - 3 a^{3} x^{2} + 24 a^{3} - 2 a^{2} c x^{2} + 3 a^{2} + a x + 3 a + 2 c + 1 = 0$$
Es la ecuación de la forma
a*x^2 + b*x + c = 0
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = - 3 a^{4} - 3 a^{3} - 2 a^{2} c$$
$$b = - 24 a^{4} + a$$
$$c = 24 a^{3} + 3 a^{2} + 3 a + 2 c + 1$$
, entonces
D = b^2 - 4 * a * c =
(a - 24*a^4)^2 - 4 * (-3*a^3 - 3*a^4 - 2*c*a^2) * (1 + 2*c + 3*a + 3*a^2 + 24*a^3) = (a - 24*a^4)^2 - (-12*a^3 - 12*a^4 - 8*c*a^2)*(1 + 2*c + 3*a + 3*a^2 + 24*a^3)
La ecuación tiene dos raíces.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
o
$$x_{1} = \frac{24 a^{4} - a + \sqrt{\left(- 24 a^{4} + a\right)^{2} - \left(- 12 a^{4} - 12 a^{3} - 8 a^{2} c\right) \left(24 a^{3} + 3 a^{2} + 3 a + 2 c + 1\right)}}{- 6 a^{4} - 6 a^{3} - 4 a^{2} c}$$
$$x_{2} = \frac{24 a^{4} - a - \sqrt{\left(- 24 a^{4} + a\right)^{2} - \left(- 12 a^{4} - 12 a^{3} - 8 a^{2} c\right) \left(24 a^{3} + 3 a^{2} + 3 a + 2 c + 1\right)}}{- 6 a^{4} - 6 a^{3} - 4 a^{2} c}$$
Gráfica
Respuesta rápida
[src]
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|| / 2 2 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \\ | | / 2 2 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \\ | | | / 2 2 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \\ | | / 2 2 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \\ |
|| 3 4 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 \ / 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \ |atan2\- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a), 1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/| 2 | / 1 \ | 3 4 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 \ / 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \ |atan2\- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a), 1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/| 2 | / 1 \| | 3 4 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 \ / 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \ |atan2\- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a), 1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/| 2 | / 1 \ | 3 4 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 \ / 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \ |atan2\- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a), 1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/| 2 | / 1 \
||24*im (a) - \/ \- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a)/ + \1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - 72*re (a)*im(a)|*re|--------------------| |1 - 24*re (a) - \/ \- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a)/ + \1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 72*im (a)*re(a)|*im|--------------------|| |1 - 24*re (a) - \/ \- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a)/ + \1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 72*im (a)*re(a)|*re|--------------------| |24*im (a) - \/ \- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a)/ + \1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - 72*re (a)*im(a)|*im|--------------------|
|\ \ 2 / / | / 2\| \ \ 2 / / | / 2\|| \ \ 2 / / | / 2\| \ \ 2 / / | / 2\|
| \a*\2*c + 3*a + 3*a // \a*\2*c + 3*a + 3*a //| \a*\2*c + 3*a + 3*a // \a*\2*c + 3*a + 3*a //
x1 = I*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\ 2 2 / 2 2
$$x_{1} = i \left(\frac{\left(- \sqrt[4]{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)}\right)^{2} + \left(576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)},576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1 \right)}}{2} \right)} - 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 24 \left(\operatorname{im}{\left(a\right)}\right)^{3}\right) \operatorname{re}{\left(\frac{1}{a \left(3 a^{2} + 3 a + 2 c\right)}\right)}}{2} + \frac{\left(- \sqrt[4]{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)}\right)^{2} + \left(576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)},576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1 \right)}}{2} \right)} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 1\right) \operatorname{im}{\left(\frac{1}{a \left(3 a^{2} + 3 a + 2 c\right)}\right)}}{2}\right) - \frac{\left(- \sqrt[4]{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)}\right)^{2} + \left(576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)},576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1 \right)}}{2} \right)} - 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 24 \left(\operatorname{im}{\left(a\right)}\right)^{3}\right) \operatorname{im}{\left(\frac{1}{a \left(3 a^{2} + 3 a + 2 c\right)}\right)}}{2} + \frac{\left(- \sqrt[4]{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)}\right)^{2} + \left(576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)},576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1 \right)}}{2} \right)} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 1\right) \operatorname{re}{\left(\frac{1}{a \left(3 a^{2} + 3 a + 2 c\right)}\right)}}{2}$$
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|| / 2 2 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \\ | | / 2 2 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \\ | | | / 2 2 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \\ | | / 2 2 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \\ |
|| 3 4 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 \ / 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \ |atan2\- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a), 1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/| 2 | / 1 \ | 3 4 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 \ / 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \ |atan2\- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a), 1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/| 2 | / 1 \| | 3 4 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 \ / 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \ |atan2\- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a), 1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/| 2 | / 1 \ | 3 4 / / 3 / 2\ / 3\ 5 3 3 3 2 3 2 3 4 5 5 \ / 6 2 2 2 3 2 / 2\ / 3\ 5 4 4 6 2 4 2 3 2 2 2 4 4 2 \ |atan2\- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a), 1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/| 2 | / 1 \
||24*im (a) + \/ \- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a)/ + \1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - 72*re (a)*im(a)|*re|--------------------| |1 - 24*re (a) + \/ \- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a)/ + \1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 72*im (a)*re(a)|*im|--------------------|| |1 - 24*re (a) + \/ \- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a)/ + \1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 72*im (a)*re(a)|*re|--------------------| |24*im (a) + \/ \- 24*im (a) + 8*im(c) + 12*im(a) + 48*im(a*c) + 48*im\c*a / + 192*im\c*a / + 288*im (a) - 11520*im (a)*re (a) - 2880*im (a)*re (a) - 1296*im (a)*re(a) + 32*im(c)*re(c) + 72*re (a)*im(a) + 96*im(a)*re(a) + 1296*re (a)*im(a) + 1440*re (a)*im(a) + 3456*im (a)*re(a) + 3456*re (a)*im(a)/ + \1 - 576*im (a) - 48*im (a) - 16*im (c) + 8*re(c) + 12*re(a) + 16*re (c) + 24*re (a) + 48*re (a) + 48*re(a*c) + 48*re\c*a / + 192*re\c*a / + 288*re (a) + 324*im (a) + 324*re (a) + 576*re (a) - 8640*im (a)*re (a) - 2880*im (a)*re (a) - 1944*im (a)*re (a) - 72*im (a)*re(a) + 1440*im (a)*re(a) + 8640*im (a)*re (a)/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - 72*re (a)*im(a)|*im|--------------------|
|\ \ 2 / / | / 2\| \ \ 2 / / | / 2\|| \ \ 2 / / | / 2\| \ \ 2 / / | / 2\|
| \a*\2*c + 3*a + 3*a // \a*\2*c + 3*a + 3*a //| \a*\2*c + 3*a + 3*a // \a*\2*c + 3*a + 3*a //
x2 = I*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\ 2 2 / 2 2
$$x_{2} = i \left(\frac{\left(\sqrt[4]{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)}\right)^{2} + \left(576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)},576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1 \right)}}{2} \right)} - 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 24 \left(\operatorname{im}{\left(a\right)}\right)^{3}\right) \operatorname{re}{\left(\frac{1}{a \left(3 a^{2} + 3 a + 2 c\right)}\right)}}{2} + \frac{\left(\sqrt[4]{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)}\right)^{2} + \left(576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)},576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1 \right)}}{2} \right)} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 1\right) \operatorname{im}{\left(\frac{1}{a \left(3 a^{2} + 3 a + 2 c\right)}\right)}}{2}\right) - \frac{\left(\sqrt[4]{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)}\right)^{2} + \left(576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)},576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1 \right)}}{2} \right)} - 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 24 \left(\operatorname{im}{\left(a\right)}\right)^{3}\right) \operatorname{im}{\left(\frac{1}{a \left(3 a^{2} + 3 a + 2 c\right)}\right)}}{2} + \frac{\left(\sqrt[4]{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)}\right)^{2} + \left(576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(3456 \left(\operatorname{re}{\left(a\right)}\right)^{5} \operatorname{im}{\left(a\right)} + 1440 \left(\operatorname{re}{\left(a\right)}\right)^{4} \operatorname{im}{\left(a\right)} - 11520 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 1296 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} + 3456 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{5} - 1296 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} + 96 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 32 \operatorname{re}{\left(c\right)} \operatorname{im}{\left(c\right)} + 288 \left(\operatorname{im}{\left(a\right)}\right)^{5} - 24 \left(\operatorname{im}{\left(a\right)}\right)^{3} + 12 \operatorname{im}{\left(a\right)} + 8 \operatorname{im}{\left(c\right)} + 48 \operatorname{im}{\left(a c\right)} + 48 \operatorname{im}{\left(a^{2} c\right)} + 192 \operatorname{im}{\left(a^{3} c\right)},576 \left(\operatorname{re}{\left(a\right)}\right)^{6} + 288 \left(\operatorname{re}{\left(a\right)}\right)^{5} - 8640 \left(\operatorname{re}{\left(a\right)}\right)^{4} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 324 \left(\operatorname{re}{\left(a\right)}\right)^{4} - 2880 \left(\operatorname{re}{\left(a\right)}\right)^{3} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 8640 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 1944 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 1440 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{4} - 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 12 \operatorname{re}{\left(a\right)} + 16 \left(\operatorname{re}{\left(c\right)}\right)^{2} + 8 \operatorname{re}{\left(c\right)} + 48 \operatorname{re}{\left(a c\right)} + 48 \operatorname{re}{\left(a^{2} c\right)} + 192 \operatorname{re}{\left(a^{3} c\right)} - 576 \left(\operatorname{im}{\left(a\right)}\right)^{6} + 324 \left(\operatorname{im}{\left(a\right)}\right)^{4} - 48 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 16 \left(\operatorname{im}{\left(c\right)}\right)^{2} + 1 \right)}}{2} \right)} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{3} + 72 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} + 1\right) \operatorname{re}{\left(\frac{1}{a \left(3 a^{2} + 3 a + 2 c\right)}\right)}}{2}$$
x2 = i*((((3456*re(a)^5*im(a) + 1440*re(a)^4*im(a) - 11520*re(a)^3*im(a)^3 + 1296*re(a)^3*im(a) - 2880*re(a)^2*im(a)^3 + 72*re(a)^2*im(a) + 3456*re(a)*im(a)^5 - 1296*re(a)*im(a)^3 + 96*re(a)*im(a) + 32*re(c)*im(c) + 288*im(a)^5 - 24*im(a)^3 + 12*im(a) + 8*im(c) + 48*im(a*c) + 48*im(a^2*c) + 192*im(a^3*c))^2 + (576*re(a)^6 + 288*re(a)^5 - 8640*re(a)^4*im(a)^2 + 324*re(a)^4 - 2880*re(a)^3*im(a)^2 + 24*re(a)^3 + 8640*re(a)^2*im(a)^4 - 1944*re(a)^2*im(a)^2 + 48*re(a)^2 + 1440*re(a)*im(a)^4 - 72*re(a)*im(a)^2 + 12*re(a) + 16*re(c)^2 + 8*re(c) + 48*re(a*c) + 48*re(a^2*c) + 192*re(a^3*c) - 576*im(a)^6 + 324*im(a)^4 - 48*im(a)^2 - 16*im(c)^2 + 1)^2)^(1/4)*sin(atan2(3456*re(a)^5*im(a) + 1440*re(a)^4*im(a) - 11520*re(a)^3*im(a)^3 + 1296*re(a)^3*im(a) - 2880*re(a)^2*im(a)^3 + 72*re(a)^2*im(a) + 3456*re(a)*im(a)^5 - 1296*re(a)*im(a)^3 + 96*re(a)*im(a) + 32*re(c)*im(c) + 288*im(a)^5 - 24*im(a)^3 + 12*im(a) + 8*im(c) + 48*im(a*c) + 48*im(a^2*c) + 192*im(a^3*c, 576*re(a)^6 + 288*re(a)^5 - 8640*re(a)^4*im(a)^2 + 324*re(a)^4 - 2880*re(a)^3*im(a)^2 + 24*re(a)^3 + 8640*re(a)^2*im(a)^4 - 1944*re(a)^2*im(a)^2 + 48*re(a)^2 + 1440*re(a)*im(a)^4 - 72*re(a)*im(a)^2 + 12*re(a) + 16*re(c)^2 + 8*re(c) + 48*re(a*c) + 48*re(a^2*c) + 192*re(a^3*c) - 576*im(a)^6 + 324*im(a)^4 - 48*im(a)^2 - 16*im(c)^2 + 1)/2) - 72*re(a)^2*im(a) + 24*im(a)^3)*re(1/(a*(3*a^2 + 3*a + 2*c)))/2 + (((3456*re(a)^5*im(a) + 1440*re(a)^4*im(a) - 11520*re(a)^3*im(a)^3 + 1296*re(a)^3*im(a) - 2880*re(a)^2*im(a)^3 + 72*re(a)^2*im(a) + 3456*re(a)*im(a)^5 - 1296*re(a)*im(a)^3 + 96*re(a)*im(a) + 32*re(c)*im(c) + 288*im(a)^5 - 24*im(a)^3 + 12*im(a) + 8*im(c) + 48*im(a*c) + 48*im(a^2*c) + 192*im(a^3*c))^2 + (576*re(a)^6 + 288*re(a)^5 - 8640*re(a)^4*im(a)^2 + 324*re(a)^4 - 2880*re(a)^3*im(a)^2 + 24*re(a)^3 + 8640*re(a)^2*im(a)^4 - 1944*re(a)^2*im(a)^2 + 48*re(a)^2 + 1440*re(a)*im(a)^4 - 72*re(a)*im(a)^2 + 12*re(a) + 16*re(c)^2 + 8*re(c) + 48*re(a*c) + 48*re(a^2*c) + 192*re(a^3*c) - 576*im(a)^6 + 324*im(a)^4 - 48*im(a)^2 - 16*im(c)^2 + 1)^2)^(1/4)*cos(atan2(3456*re(a)^5*im(a) + 1440*re(a)^4*im(a) - 11520*re(a)^3*im(a)^3 + 1296*re(a)^3*im(a) - 2880*re(a)^2*im(a)^3 + 72*re(a)^2*im(a) + 3456*re(a)*im(a)^5 - 1296*re(a)*im(a)^3 + 96*re(a)*im(a) + 32*re(c)*im(c) + 288*im(a)^5 - 24*im(a)^3 + 12*im(a) + 8*im(c) + 48*im(a*c) + 48*im(a^2*c) + 192*im(a^3*c), 576*re(a)^6 + 288*re(a)^5 - 8640*re(a)^4*im(a)^2 + 324*re(a)^4 - 2880*re(a)^3*im(a)^2 + 24*re(a)^3 + 8640*re(a)^2*im(a)^4 - 1944*re(a)^2*im(a)^2 + 48*re(a)^2 + 1440*re(a)*im(a)^4 - 72*re(a)*im(a)^2 + 12*re(a) + 16*re(c)^2 + 8*re(c) + 48*re(a*c) + 48*re(a^2*c) + 192*re(a^3*c) - 576*im(a)^6 + 324*im(a)^4 - 48*im(a)^2 - 16*im(c)^2 + 1)/2) - 24*re(a)^3 + 72*re(a)*im(a)^2 + 1)*im(1/(a*(3*a^2 + 3*a + 2*c)))/2) - (((3456*re(a)^5*im(a) + 1440*re(a)^4*im(a) - 11520*re(a)^3*im(a)^3 + 1296*re(a)^3*im(a) - 2880*re(a)^2*im(a)^3 + 72*re(a)^2*im(a) + 3456*re(a)*im(a)^5 - 1296*re(a)*im(a)^3 + 96*re(a)*im(a) + 32*re(c)*im(c) + 288*im(a)^5 - 24*im(a)^3 + 12*im(a) + 8*im(c) + 48*im(a*c) + 48*im(a^2*c) + 192*im(a^3*c))^2 + (576*re(a)^6 + 288*re(a)^5 - 8640*re(a)^4*im(a)^2 + 324*re(a)^4 - 2880*re(a)^3*im(a)^2 + 24*re(a)^3 + 8640*re(a)^2*im(a)^4 - 1944*re(a)^2*im(a)^2 + 48*re(a)^2 + 1440*re(a)*im(a)^4 - 72*re(a)*im(a)^2 + 12*re(a) + 16*re(c)^2 + 8*re(c) + 48*re(a*c) + 48*re(a^2*c) + 192*re(a^3*c) - 576*im(a)^6 + 324*im(a)^4 - 48*im(a)^2 - 16*im(c)^2 + 1)^2)^(1/4)*sin(atan2(3456*re(a)^5*im(a) + 1440*re(a)^4*im(a) - 11520*re(a)^3*im(a)^3 + 1296*re(a)^3*im(a) - 2880*re(a)^2*im(a)^3 + 72*re(a)^2*im(a) + 3456*re(a)*im(a)^5 - 1296*re(a)*im(a)^3 + 96*re(a)*im(a) + 32*re(c)*im(c) + 288*im(a)^5 - 24*im(a)^3 + 12*im(a) + 8*im(c) + 48*im(a*c) + 48*im(a^2*c) + 192*im(a^3*c), 576*re(a)^6 + 288*re(a)^5 - 8640*re(a)^4*im(a)^2 + 324*re(a)^4 - 2880*re(a)^3*im(a)^2 + 24*re(a)^3 + 8640*re(a)^2*im(a)^4 - 1944*re(a)^2*im(a)^2 + 48*re(a)^2 + 1440*re(a)*im(a)^4 - 72*re(a)*im(a)^2 + 12*re(a) + 16*re(c)^2 + 8*re(c) + 48*re(a*c) + 48*re(a^2*c) + 192*re(a^3*c) - 576*im(a)^6 + 324*im(a)^4 - 48*im(a)^2 - 16*im(c)^2 + 1)/2) - 72*re(a)^2*im(a) + 24*im(a)^3)*im(1/(a*(3*a^2 + 3*a + 2*c)))/2 + (((3456*re(a)^5*im(a) + 1440*re(a)^4*im(a) - 11520*re(a)^3*im(a)^3 + 1296*re(a)^3*im(a) - 2880*re(a)^2*im(a)^3 + 72*re(a)^2*im(a) + 3456*re(a)*im(a)^5 - 1296*re(a)*im(a)^3 + 96*re(a)*im(a) + 32*re(c)*im(c) + 288*im(a)^5 - 24*im(a)^3 + 12*im(a) + 8*im(c) + 48*im(a*c) + 48*im(a^2*c) + 192*im(a^3*c))^2 + (576*re(a)^6 + 288*re(a)^5 - 8640*re(a)^4*im(a)^2 + 324*re(a)^4 - 2880*re(a)^3*im(a)^2 + 24*re(a)^3 + 8640*re(a)^2*im(a)^4 - 1944*re(a)^2*im(a)^2 + 48*re(a)^2 + 1440*re(a)*im(a)^4 - 72*re(a)*im(a)^2 + 12*re(a) + 16*re(c)^2 + 8*re(c) + 48*re(a*c) + 48*re(a^2*c) + 192*re(a^3*c) - 576*im(a)^6 + 324*im(a)^4 - 48*im(a)^2 - 16*im(c)^2 + 1)^2)^(1/4)*cos(atan2(3456*re(a)^5*im(a) + 1440*re(a)^4*im(a) - 11520*re(a)^3*im(a)^3 + 1296*re(a)^3*im(a) - 2880*re(a)^2*im(a)^3 + 72*re(a)^2*im(a) + 3456*re(a)*im(a)^5 - 1296*re(a)*im(a)^3 + 96*re(a)*im(a) + 32*re(c)*im(c) + 288*im(a)^5 - 24*im(a)^3 + 12*im(a) + 8*im(c) + 48*im(a*c) + 48*im(a^2*c) + 192*im(a^3*c), 576*re(a)^6 + 288*re(a)^5 - 8640*re(a)^4*im(a)^2 + 324*re(a)^4 - 2880*re(a)^3*im(a)^2 + 24*re(a)^3 + 8640*re(a)^2*im(a)^4 - 1944*re(a)^2*im(a)^2 + 48*re(a)^2 + 1440*re(a)*im(a)^4 - 72*re(a)*im(a)^2 + 12*re(a) + 16*re(c)^2 + 8*re(c) + 48*re(a*c) + 48*re(a^2*c) + 192*re(a^3*c) - 576*im(a)^6 + 324*im(a)^4 - 48*im(a)^2 - 16*im(c)^2 + 1)/2) - 24*re(a)^3 + 72*re(a)*im(a)^2 + 1)*re(1/(a*(3*a^2 + 3*a + 2*c)))/2)