Sr Examen
Otras calculadoras
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¿Cómo usar?
- La ecuación:
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Ecuación x^3+4x^2-x-4=0
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Ecuación x^3-3x^2+4=0
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Ecuación x^2=23
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Ecuación x^2=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
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Expresiones idénticas
- sqrt((q1-p)^ dos +m^ dos)=q0-sqrt(p^ dos +m^ dos)
- raíz cuadrada de ((q1 menos p) al cuadrado más m al cuadrado ) es igual a q0 menos raíz cuadrada de (p al cuadrado más m al cuadrado )
- raíz cuadrada de ((q1 menos p) en el grado dos más m en el grado dos) es igual a q0 menos raíz cuadrada de (p en el grado dos más m en el grado dos)
- √((q1-p)^2+m^2)=q0-√(p^2+m^2)
- sqrt((q1-p)2+m2)=q0-sqrt(p2+m2)
- sqrtq1-p2+m2=q0-sqrtp2+m2
- sqrt((q1-p)²+m²)=q0-sqrt(p²+m²)
- sqrt((q1-p) en el grado 2+m en el grado 2)=q0-sqrt(p en el grado 2+m en el grado 2)
- sqrtq1-p^2+m^2=q0-sqrtp^2+m^2
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Expresiones semejantes
- sqrt((q1-p)^2+m^2)=q0+sqrt(p^2+m^2)
- sqrt((q1+p)^2+m^2)=q0-sqrt(p^2+m^2)
- sqrt((q1-p)^2-m^2)=q0-sqrt(p^2+m^2)
- sqrt((q1-p)^2+m^2)=q0-sqrt(p^2-m^2)
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt3×+sqrt1=8
- Sqrt25b-Sqrt16b+3Sqrt(b)
- sqrt(log(1+6x,4)+|log(1+7x,1/8)|)=0
- sqrt(7x-2)=3
- sqrt(2x-5)=1.3
- Raíz cuadrada sqrt
- sqrt3×+sqrt1=8
- Sqrt25b-Sqrt16b+3Sqrt(b)
- sqrt(log(1+6x,4)+|log(1+7x,1/8)|)=0
- sqrt(7x-2)=3
- sqrt(2x-5)=1.3
sqrt((q1-p)^2+m^2)=q0-sqrt(p^2+m^2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
________________ _________ / 2 2 / 2 2 \/ (q1 - p) + m = q0 - \/ p + m
$$\sqrt{m^{2} + \left(- p + q_{1}\right)^{2}} = q_{0} - \sqrt{m^{2} + p^{2}}$$
Gráfica
Suma y producto de raíces
[src]
suma
/ / / _________________________________________\ \ / / _________________________________________\ \ \ / / _________________________________________\ \ / / _________________________________________\ \ / / / _________________________________________\\ / / _________________________________________\\ \ / / _________________________________________\\ / / _________________________________________\\ | | | / / 2 2 2\ | / 2 2 2 2 \ | | | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \| | | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \ | | / / 2 2 2\ | / 2 2 2 2 \ | | |/ 2 2 2 2 \ | / / 2 2 2\ || | / 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \| |/ 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \ | / 2 2 2 2 \ | / / 2 2 2\ || |(-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\- re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1)/ \- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/| \- re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/ (-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1)/ |(-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / // \(-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/| \\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/ (-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / // I*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + I*|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | / 2\ / 2\ | / 2\ / 2\ | / 2\ / 2\ | / 2\ / 2\ | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | \ 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / \ 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ /
$$\left(- \frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + i \left(\frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} - \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + \frac{\left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} - \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + \left(- \frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + i \left(\frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + \frac{\left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right)$$
=
/ / / _________________________________________\ \ / / _________________________________________\ \ \ / / / _________________________________________\\ / / _________________________________________\\ \ / / _________________________________________\ \ / / _________________________________________\\ / / _________________________________________\ \ / / _________________________________________\\ | | | / / 2 2 2\ | / 2 2 2 2 \ | | | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \| | |/ 2 2 2 2 \ | / / 2 2 2\ || | / 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \| | | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \ |/ 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \ | | / / 2 2 2\ | / 2 2 2 2 \ | | / 2 2 2 2 \ | / / 2 2 2\ || |(-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\- re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1)/ \- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/| |(-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / // \(-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/| \- re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/ \\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/ (-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1)/ (-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / // I*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | / 2\ / 2\ | | / 2\ / 2\ | / 2\ / 2\ / 2\ / 2\ | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | \ 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / \ 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ /
$$- \frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} - \frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + i \left(\frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} - \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + i \left(\frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + \frac{\left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} - \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}$$
producto
/ / / / _________________________________________\ \ / / _________________________________________\ \ \ / / _________________________________________\ \ / / _________________________________________\ \\ / / / / _________________________________________\\ / / _________________________________________\\ \ / / _________________________________________\\ / / _________________________________________\\\ | | | | / / 2 2 2\ | / 2 2 2 2 \ | | | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \| | | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \ | | / / 2 2 2\ | / 2 2 2 2 \ || | | |/ 2 2 2 2 \ | / / 2 2 2\ || | / 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \| |/ 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \ | / 2 2 2 2 \ | / / 2 2 2\ ||| | |(-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\- re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1)/ \- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/| \- re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/ (-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1)/| | |(-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / // \(-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/| \\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/ (-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //| |I*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|I*|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| | | / 2\ / 2\ | / 2\ / 2\ | | | / 2\ / 2\ | / 2\ / 2\ | | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | \ \ 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / \ \ 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / /
$$\left(- \frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + i \left(\frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} - \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + \frac{\left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} - \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) \left(- \frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + i \left(\frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + \frac{\left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right)$$
=
/ // / _________________________________________\ \ / / _________________________________________\\\ / / _________________________________________\\ / / _________________________________________\ \\ / // / _________________________________________\\ / / _________________________________________\\\ / / _________________________________________\\ / / _________________________________________\\\
| || | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \ | / 2 2 2 2 \ | / / 2 2 2\ ||| | / 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \ | | / / 2 2 2\ | / 2 2 2 2 \ || | ||/ 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \ |/ 2 2 2 2 \ | / / 2 2 2\ ||| |/ 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \ |/ 2 2 2 2 \ | / / 2 2 2\ |||
\I*\\- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*re(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/ + 2*(im(q0)*re(q0) - im(q1)*re(q1))*\- \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / /// - \- \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/ + 2*(im(q0)*re(q0) - im(q1)*re(q1))*\- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*re(q1)//*\I*\\\im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*re(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/ - 2*(im(q0)*re(q0) - im(q1)*re(q1))*\\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - 2*(im(q0)*re(q0) - im(q1)*re(q1))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / /// + \\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - 2*(im(q0)*re(q0) - im(q1)*re(q1))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/ + 2*(im(q0)*re(q0) - im(q1)*re(q1))*\\im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*re(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / ///
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
/ 2 \
|/ 2 2 2 2 \ 2|
4*\\im (q1) + re (q0) - im (q0) - re (q1)/ + 4*(im(q0)*re(q0) - im(q1)*re(q1)) /
$$\frac{\left(i \left(- 2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- 2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) + \left(2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)\right) + 2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) + \left(- 2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)\right) \left(i \left(2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} - \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) + \left(2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)\right) + 2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) - \left(2 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} - \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)\right)}{4 \left(4 \left(\operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)^{2}}$$
(i*((-im(q0*sqrt(-(q0 + q1)*(q0 - q1)*(q1^2 - q0^2 + 4*m^2))) + (im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)*im(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*re(q1))*(im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*(-(im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)*re(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*im(q1) + re(q0*sqrt(-(q0 + q1)*(q0 - q1)*(q1^2 - q0^2 + 4*m^2))))) - (-(im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)*re(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*im(q1) + re(q0*sqrt(-(q0 + q1)*(q0 - q1)*(q1^2 - q0^2 + 4*m^2))))*(im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*(-im(q0*sqrt(-(q0 + q1)*(q0 - q1)*(q1^2 - q0^2 + 4*m^2))) + (im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)*im(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*re(q1)))*(i*(((im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)*im(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*re(q1) + im(q0*sqrt(-(q0 + q1)*(q0 - q1)*(q1^2 - q0^2 + 4*m^2))))*(im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2) - 2*(im(q0)*re(q0) - im(q1)*re(q1))*((im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)*re(q1) - 2*(im(q0)*re(q0) - im(q1)*re(q1))*im(q1) + re(q0*sqrt(-(q0 + q1)*(q0 - q1)*(q1^2 - q0^2 + 4*m^2))))) + ((im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)*re(q1) - 2*(im(q0)*re(q0) - im(q1)*re(q1))*im(q1) + re(q0*sqrt(-(q0 + q1)*(q0 - q1)*(q1^2 - q0^2 + 4*m^2))))*(im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*((im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)*im(q1) + 2*(im(q0)*re(q0) - im(q1)*re(q1))*re(q1) + im(q0*sqrt(-(q0 + q1)*(q0 - q1)*(q1^2 - q0^2 + 4*m^2)))))/(4*((im(q1)^2 + re(q0)^2 - im(q0)^2 - re(q1)^2)^2 + 4*(im(q0)*re(q0) - im(q1)*re(q1))^2)^2)
Respuesta rápida
[src]
/ / / _________________________________________\ \ / / _________________________________________\ \ \ / / _________________________________________\ \ / / _________________________________________\ \
| | | / / 2 2 2\ | / 2 2 2 2 \ | | | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \| | | / / 2 2 2\ | / 2 2 2 2 \ | / 2 2 2 2 \ | | / / 2 2 2\ | / 2 2 2 2 \ |
|(-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\- re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1)/ \- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/| \- re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + \im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1)/*\im (q1) + re (q0) - im (q0) - re (q1)/ (-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\- im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / / + (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1)/
p1 = I*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| / 2\ / 2\ | / 2\ / 2\
| | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ |
\ 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ /
$$p_{1} = - \frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + i \left(\frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} - \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} - \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + \frac{\left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} - \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}$$
/ / / _________________________________________\\ / / _________________________________________\\ \ / / _________________________________________\\ / / _________________________________________\\
| |/ 2 2 2 2 \ | / / 2 2 2\ || | / 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \| |/ 2 2 2 2 \ | / / 2 2 2\ || / 2 2 2 2 \ | / 2 2 2 2 \ | / / 2 2 2\ ||
|(-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / // \(-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/| \\im (q1) + re (q0) - im (q0) - re (q1)/*re(q1) - (-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*im(q1) + re\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //*\im (q1) + re (q0) - im (q0) - re (q1)/ (-2*im(q0)*re(q0) + 2*im(q1)*re(q1))*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0))*re(q1) + \im (q1) + re (q0) - im (q0) - re (q1)/*im(q1) + im\q0*\/ -(q0 + q1)*(q0 - q1)*\q1 - q0 + 4*m / //
p2 = I*|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| / 2\ / 2\ | / 2\ / 2\
| | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ | | | 2 / 2 2 2 2 \ | | 2 / 2 2 2 2 \ |
\ 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ / 2*\(-2*im(q1)*re(q1) + 2*im(q0)*re(q0)) + \im (q1) + re (q0) - im (q0) - re (q1)/ /
$$p_{2} = - \frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + i \left(\frac{\left(- 2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} + 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)} + \frac{\left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{re}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{im}{\left(q_{1}\right)} + \operatorname{im}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}\right) + \frac{\left(- \left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right) \operatorname{im}{\left(q_{1}\right)} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right) \operatorname{re}{\left(q_{1}\right)} + \operatorname{re}{\left(q_{0} \sqrt{- \left(q_{0} - q_{1}\right) \left(q_{0} + q_{1}\right) \left(4 m^{2} - q_{0}^{2} + q_{1}^{2}\right)}\right)}\right) \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)}{2 \left(\left(2 \operatorname{re}{\left(q_{0}\right)} \operatorname{im}{\left(q_{0}\right)} - 2 \operatorname{re}{\left(q_{1}\right)} \operatorname{im}{\left(q_{1}\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(q_{0}\right)}\right)^{2} - \left(\operatorname{re}{\left(q_{1}\right)}\right)^{2} - \left(\operatorname{im}{\left(q_{0}\right)}\right)^{2} + \left(\operatorname{im}{\left(q_{1}\right)}\right)^{2}\right)^{2}\right)}$$
p2 = -(-2*re(q0)*im(q0) + 2*re(q1)*im(q1))*((2*re(q0)*im(q0) - 2*re(q1)*im(q1))*re(q1) + (re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)*im(q1) + im(q0*sqrt(-(q0 - q1)*(q0 + q1)*(4*m^2 - q0^2 + q1^2))))/(2*((2*re(q0)*im(q0) - 2*re(q1)*im(q1))^2 + (re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)^2)) + i*((-2*re(q0)*im(q0) + 2*re(q1)*im(q1))*(-(2*re(q0)*im(q0) - 2*re(q1)*im(q1))*im(q1) + (re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)*re(q1) + re(q0*sqrt(-(q0 - q1)*(q0 + q1)*(4*m^2 - q0^2 + q1^2))))/(2*((2*re(q0)*im(q0) - 2*re(q1)*im(q1))^2 + (re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)^2)) + ((2*re(q0)*im(q0) - 2*re(q1)*im(q1))*re(q1) + (re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)*im(q1) + im(q0*sqrt(-(q0 - q1)*(q0 + q1)*(4*m^2 - q0^2 + q1^2))))*(re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)/(2*((2*re(q0)*im(q0) - 2*re(q1)*im(q1))^2 + (re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)^2))) + (-(2*re(q0)*im(q0) - 2*re(q1)*im(q1))*im(q1) + (re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)*re(q1) + re(q0*sqrt(-(q0 - q1)*(q0 + q1)*(4*m^2 - q0^2 + q1^2))))*(re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)/(2*((2*re(q0)*im(q0) - 2*re(q1)*im(q1))^2 + (re(q0)^2 - re(q1)^2 - im(q0)^2 + im(q1)^2)^2))