Sr Examen
Otras calculadoras
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¿Cómo usar?
- La ecuación:
-
Ecuación 2+x=6
-
Ecuación -20-x=-13
-
Ecuación x^6=-3
- Ecuación x^4+y^6=-4
- Expresar {x} en función de y en la ecuación:
- 9*x+7*y=4
- -1*x+7*y=-11
- -11*x+17*y=-17
- -8*x+20*y=4
- Derivada de:
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-4
- Integral de d{x}:
- -4
- Límite de la función:
- -4
-
Expresiones idénticas
- x^ cuatro +y^ seis =- cuatro
- x en el grado 4 más y en el grado 6 es igual a menos 4
- x en el grado cuatro más y en el grado seis es igual a menos cuatro
- x4+y6=-4
- x⁴+y⁶=-4
-
Expresiones semejantes
- x^4+y^6=+4
- x^4-y^6=-4
x^4+y^6=-4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Respuesta rápida
[src]
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/ 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\
8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|
x1 = \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------| - I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------|
\ 4 / \ 4 /
$$x_{1} = \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} - i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}$$
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/ 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\
8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|
x2 = - \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------| + I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------|
\ 4 / \ 4 /
$$x_{2} = - \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} + i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}$$
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/ 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\
8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|
x3 = - \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------| - I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------|
\ 4 / \ 4 /
$$x_{3} = - i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} - \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}$$
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/ 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\
8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|
x4 = \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------| + I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------|
\ 4 / \ 4 /
$$x_{4} = i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} + \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}$$
x4 = i*((-6*re(y)^5*im(y) + 20*re(y)^3*im(y)^3 - 6*re(y)*im(y)^5)^2 + (-re(y)^6 + 15*re(y)^4*im(y)^2 - 15*re(y)^2*im(y)^4 + im(y)^6 - 4)^2)^(1/8)*sin(atan2(-6*re(y)^5*im(y) + 20*re(y)^3*im(y)^3 - 6*re(y)*im(y^5, -re(y)^6 + 15*re(y)^4*im(y)^2 - 15*re(y)^2*im(y)^4 + im(y)^6 - 4)/4) + ((-6*re(y)^5*im(y) + 20*re(y)^3*im(y)^3 - 6*re(y)*im(y)^5)^2 + (-re(y)^6 + 15*re(y)^4*im(y)^2 - 15*re(y)^2*im(y)^4 + im(y)^6 - 4)^2)^(1/8)*cos(atan2(-6*re(y)^5*im(y) + 20*re(y)^3*im(y)^3 - 6*re(y)*im(y)^5, -re(y)^6 + 15*re(y)^4*im(y)^2 - 15*re(y)^2*im(y)^4 + im(y)^6 - 4)/4))
Suma y producto de raíces
[src]
suma
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/ 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\
8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|
\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------| - I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------| + - \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------| + I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------| + - \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------| - I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------| + \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------| + I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------|
\ 4 / \ 4 / \ 4 / \ 4 / \ 4 / \ 4 / \ 4 / \ 4 /
$$\left(i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} + \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right) + \left(\left(- i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} - \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right) + \left(\left(- \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} + i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right) + \left(\sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} - i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right)\right)\right)$$
=
0
$$0$$
producto
/ _________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________ \ | / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\| | / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\| | / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\| | / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\ / 2 2 / / 5 5 3 3 6 6 4 2 2 4 \\| |8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|| | 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|| | 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|| |8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| 8 / / 5 5 3 3 \ / 6 6 4 2 2 4 \ |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|| |\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------| - I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------||*|- \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------| + I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------||*|- \/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------| - I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------||*|\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *cos|-----------------------------------------------------------------------------------------------------------------------| + I*\/ \- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y)/ + \-4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ *sin|-----------------------------------------------------------------------------------------------------------------------|| \ \ 4 / \ 4 // \ \ 4 / \ 4 // \ \ 4 / \ 4 // \ \ 4 / \ 4 //
$$\left(- \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} + i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right) \left(\sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} - i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right) \left(- i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} - \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right) \left(i \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} + \sqrt[8]{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5}\right)^{2} + \left(- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right)$$
=
/ 5 5 3 3 6 6 4 2 2 4 \
__________________________________________________________________________________________________________________________ 2 I*atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/
/ 2 2 / / / 5 5 3 3 6 6 4 2 2 4 \\ / / 5 5 3 3 6 6 4 2 2 4 \\\ -------------------------------------------------------------------------------------------------------------------------
/ / 6 6 2 4 4 2 \ / 4 4 2 2 \ 2 2 | |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/| |atan2\- 6*im (y)*re(y) - 6*re (y)*im(y) + 20*im (y)*re (y), -4 + im (y) - re (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/|| 2
\/ \4 + re (y) - im (y) - 15*im (y)*re (y) + 15*im (y)*re (y)/ + 4*\3*im (y) + 3*re (y) - 10*im (y)*re (y)/ *im (y)*re (y) *|- I*cos|-----------------------------------------------------------------------------------------------------------------------| + sin|-----------------------------------------------------------------------------------------------------------------------|| *e
\ \ 4 / \ 4 //
$$\sqrt{4 \left(3 \left(\operatorname{re}{\left(y\right)}\right)^{4} - 10 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \left(\operatorname{im}{\left(y\right)}\right)^{4}\right)^{2} \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{6} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} - \left(\operatorname{im}{\left(y\right)}\right)^{6} + 4\right)^{2}} \left(\sin{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)} - i \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{4} \right)}\right)^{2} e^{\frac{i \operatorname{atan_{2}}{\left(- 6 \left(\operatorname{re}{\left(y\right)}\right)^{5} \operatorname{im}{\left(y\right)} + 20 \left(\operatorname{re}{\left(y\right)}\right)^{3} \left(\operatorname{im}{\left(y\right)}\right)^{3} - 6 \operatorname{re}{\left(y\right)} \left(\operatorname{im}{\left(y\right)}\right)^{5},- \left(\operatorname{re}{\left(y\right)}\right)^{6} + 15 \left(\operatorname{re}{\left(y\right)}\right)^{4} \left(\operatorname{im}{\left(y\right)}\right)^{2} - 15 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{4} + \left(\operatorname{im}{\left(y\right)}\right)^{6} - 4 \right)}}{2}}$$
sqrt((4 + re(y)^6 - im(y)^6 - 15*im(y)^2*re(y)^4 + 15*im(y)^4*re(y)^2)^2 + 4*(3*im(y)^4 + 3*re(y)^4 - 10*im(y)^2*re(y)^2)^2*im(y)^2*re(y)^2)*(-i*cos(atan2(-6*im(y)^5*re(y) - 6*re(y)^5*im(y) + 20*im(y)^3*re(y)^3, -4 + im(y)^6 - re(y)^6 - 15*im(y)^4*re(y)^2 + 15*im(y)^2*re(y)^4)/4) + sin(atan2(-6*im(y)^5*re(y) - 6*re(y)^5*im(y) + 20*im(y)^3*re(y)^3, -4 + im(y)^6 - re(y)^6 - 15*im(y)^4*re(y)^2 + 15*im(y)^2*re(y)^4)/4))^2*exp(i*atan2(-6*im(y)^5*re(y) - 6*re(y)^5*im(y) + 20*im(y)^3*re(y)^3, -4 + im(y)^6 - re(y)^6 - 15*im(y)^4*re(y)^2 + 15*im(y)^2*re(y)^4)/2)