\[ \boxed { \left \{ {\it a1}\,{\frac {{\rm d}^{2}}{{\rm d}{t}^{2}}}x \left ( t \right ) +{\it b1}\,{\frac {\rm d}{{\rm d}t}}x \left ( t \right ) +{\it c1}\,x \left ( t \right ) -A{\frac {\rm d}{{\rm d}t}}y \left ( t \right ) =B{{\rm e}^{i\omega \,t}},{\it a2}\,{\frac {{\rm d}^{2}}{{\rm d}{t}^{2}}}y \left ( t \right ) +{\it b2}\,{\frac {\rm d}{{\rm d}t}}y \left ( t \right ) +{\it c2}\,y \left ( t \right ) +A{\frac {\rm d}{{\rm d}t}}x \left ( t \right ) =0 \right \} } \]
Mathematica: cpu = 369.474917 (sec), leaf count = 5538 \[ \left \{\left \{x(t)\to -\text {A0} \text {a1}^2 \text {c2} c_3 \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a2}^2-\text {A0} \text {a1}^2 \text {c2} \left (\int _1^t -\text {A0} \text {a1} \text {a2} \text {B0} e^{i \omega K[3]} \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{-\frac {K[3] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \, dK[3]\right ) \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a2}^2+\text {A0} \text {a1} c_4 \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a2}^2+\text {A0} \text {a1} \left (\int _1^t -\text {A0} \text {B0} e^{i \omega K[4]} \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{-\frac {K[4] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \, dK[4]\right ) \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a2}^2+\text {a1} c_2 \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {\text {a2} \text {c2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {a1}^2+\text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1} \text {a1}+e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a2}+\text {a1} \left (\int _1^t \frac {\text {B0} e^{i \omega K[2]} \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{-\frac {K[2] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^3+\text {a1} \text {b2} e^{-\frac {K[2] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} e^{-\frac {K[2] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ]}{\text {a1}} \, dK[2]\right ) \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {\text {a2} \text {c2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {a1}^2+\text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1} \text {a1}+e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a2}+c_1 \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^3+\text {a2} \text {b1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {a1} \text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {A0}^2 \text {a1} \text {a2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1} \text {a2} \text {b1} \text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1}^2 \text {a2} \text {c2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ]+\left (\int _1^t \text {a2} \text {B0} e^{i \omega K[1]} \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {\text {a2} \text {c2} e^{-\frac {K[1] \text {$\#$1}}{\text {a1} \text {a2}}} \text {a1}^2+\text {b2} e^{-\frac {K[1] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1} \text {a1}+e^{-\frac {K[1] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \, dK[1]\right ) \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^3+\text {a2} \text {b1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {a1} \text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {A0}^2 \text {a1} \text {a2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1} \text {a2} \text {b1} \text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1}^2 \text {a2} \text {c2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ],y(t)\to \text {A0} \text {a2}^2 \text {c1} c_1 \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a1}^2+\text {A0} \text {a2}^2 \text {c1} \left (\int _1^t \text {a2} \text {B0} e^{i \omega K[1]} \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {\text {a2} \text {c2} e^{-\frac {K[1] \text {$\#$1}}{\text {a1} \text {a2}}} \text {a1}^2+\text {b2} e^{-\frac {K[1] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1} \text {a1}+e^{-\frac {K[1] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \, dK[1]\right ) \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a1}^2-\text {A0} \text {a2} c_2 \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a1}^2-\text {A0} \text {a2} \left (\int _1^t \frac {\text {B0} e^{i \omega K[2]} \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{-\frac {K[2] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^3+\text {a1} \text {b2} e^{-\frac {K[2] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} e^{-\frac {K[2] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ]}{\text {a1}} \, dK[2]\right ) \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a1}^2+\text {a2} c_4 \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {\text {a1} \text {c1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {a2}^2+\text {b1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1} \text {a2}+e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a1}+\text {a2} \left (\int _1^t -\text {A0} \text {B0} e^{i \omega K[4]} \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{-\frac {K[4] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \, dK[4]\right ) \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {\text {a1} \text {c1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {a2}^2+\text {b1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1} \text {a2}+e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \text {a1}+c_3 \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^3+\text {a2} \text {b1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {a1} \text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {A0}^2 \text {a1} \text {a2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1} \text {a2} \text {b1} \text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1} \text {a2}^2 \text {c1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ]+\left (\int _1^t -\text {A0} \text {a1} \text {a2} \text {B0} e^{i \omega K[3]} \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{-\frac {K[3] \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ] \, dK[3]\right ) \text {RootSum}\left [\text {$\#$1}^4+\text {a2} \text {b1} \text {$\#$1}^3+\text {a1} \text {b2} \text {$\#$1}^3+\text {A0}^2 \text {a1} \text {a2} \text {$\#$1}^2+\text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}^2+\text {a1} \text {a2}^2 \text {c1} \text {$\#$1}^2+\text {a1}^2 \text {a2} \text {c2} \text {$\#$1}^2+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2} \text {$\#$1}+\text {a1}^3 \text {a2}^3 \text {c1} \text {c2}\& ,\frac {e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^3+\text {a2} \text {b1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {a1} \text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}^2+\text {A0}^2 \text {a1} \text {a2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1} \text {a2} \text {b1} \text {b2} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1} \text {a2}^2 \text {c1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1} e^{\frac {t \text {$\#$1}}{\text {a1} \text {a2}}}}{4 \text {$\#$1}^3+3 \text {a2} \text {b1} \text {$\#$1}^2+3 \text {a1} \text {b2} \text {$\#$1}^2+2 \text {A0}^2 \text {a1} \text {a2} \text {$\#$1}+2 \text {a1} \text {a2} \text {b1} \text {b2} \text {$\#$1}+2 \text {a1} \text {a2}^2 \text {c1} \text {$\#$1}+2 \text {a1}^2 \text {a2} \text {c2} \text {$\#$1}+\text {a1}^2 \text {a2}^2 \text {b2} \text {c1}+\text {a1}^2 \text {a2}^2 \text {b1} \text {c2}}\& \right ]\right \}\right \} \]
Maple: cpu = 0.858 (sec), leaf count = 4516 \[ \left \{ \left \{ x \left ( t \right ) = \left ( {\frac { \left ( -{\it \_C4}\,{{\it a1}}^{2}{{\it a2}}^{2}{\omega }^{4}+ \left ( i{{\it a1}}^{2 }{\it a2}\,{\it b2}+i{\it a1}\,{{\it a2}}^{2}{\it b1} \right ) {\it \_C4}\,{\omega }^{3}+ \left ( {A}^{2}{\it a1}\,{\it a2}+{{\it a1}}^{2}{ \it a2}\,{\it c2}+{\it a1}\,{{\it a2}}^{2}{\it c1}+{\it a1}\,{\it a2} \,{\it b1}\,{\it b2} \right ) {\it \_C4}\,{\omega }^{2}+ \left ( -i{\it a1}\,{\it a2}\,{\it b1}\,{\it c2}-i{\it a1}\,{\it a2}\,{\it b2}\,{\it c1} \right ) {\it \_C4}\,\omega -{\it \_C4}\,{\it a1}\,{\it a2}\,{\it c1 }\,{\it c2} \right ) \left ( {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{ \it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{ \it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{ \it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{ \it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=4 \right ) \right ) ^{3}}{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}}+{\frac { \left ( \left ( -{{\it a1}}^{2}{\it a2}\,{\it b2}-{\it a1}\,{{\it a2}} ^{2}{\it b1} \right ) {\it \_C4}\,{\omega }^{4}+ \left ( i{{\it a1}}^{2}{ {\it b2}}^{2}+2\,i{\it a1}\,{\it a2}\,{\it b1}\,{\it b2}+i{{\it a2}}^{ 2}{{\it b1}}^{2} \right ) {\it \_C4}\,{\omega }^{3}+ \left ( \left ( {{ \it a1}}^{2}{\it b2}+{\it a1}\,{\it a2}\,{\it b1} \right ) {\it c2}+ \left ( {\it a1}\,{\it a2}\,{\it b2}+{{\it a2}}^{2}{\it b1} \right ) { \it c1}+{\it a1}\,{\it b1}\,{{\it b2}}^{2}+ \left ( {A}^{2}{\it a1}+{ \it a2}\,{{\it b1}}^{2} \right ) {\it b2}+{A}^{2}{\it a2}\,{\it b1} \right ) {\it \_C4}\,{\omega }^{2}+ \left ( \left ( -i{\it a1}\,{\it b1} \,{\it b2}-i{\it a2}\,{{\it b1}}^{2} \right ) {\it c2}+ \left ( -i{\it a1}\,{{\it b2}}^{2}-i{\it a2}\,{\it b1}\,{\it b2} \right ) {\it c1} \right ) {\it \_C4}\,\omega + \left ( -{\it a1}\,{\it b2}-{\it a2}\,{ \it b1} \right ) {\it c1}\,{\it c2}\,{\it \_C4} \right ) \left ( {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{ \it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{ \it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=4 \right ) \right ) ^{2}}{ \left ( - {\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2} \,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{ \it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{ \it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2 } \right ) {\it c1}\,A}}+{\frac { \left ( \left ( -{A}^{2}{\it a1}\,{ \it a2}-{{\it a1}}^{2}{\it a2}\,{\it c2}-{\it a1}\,{\it a2}\,{\it b1} \,{\it b2} \right ) {\it \_C4}\,{\omega }^{4}+ \left ( \left ( i{{\it a1} }^{2}{\it b2}+i{\it a1}\,{\it a2}\,{\it b1} \right ) {\it c2}+i{\it a1} \,{\it b1}\,{{\it b2}}^{2}+ \left ( i{A}^{2}{\it a1}+i{\it a2}\,{{\it b1}}^{2} \right ) {\it b2}+i{A}^{2}{\it a2}\,{\it b1} \right ) {\it \_C4 }\,{\omega }^{3}+ \left ( {{\it a1}}^{2}{{\it c2}}^{2}+ \left ( 2\,{A}^{2 }{\it a1}+{\it a1}\,{\it a2}\,{\it c1}+2\,{\it a1}\,{\it b1}\,{\it b2} \right ) {\it c2}+ \left ( {A}^{2}{\it a2}+{\it a2}\,{\it b1}\,{\it b2} \right ) {\it c1}+{A}^{4}+2\,{A}^{2}{\it b1}\,{\it b2}+{{\it b2}}^{2}{ {\it b1}}^{2} \right ) {\it \_C4}\,{\omega }^{2}+ \left ( -i{\it a1}\,{ \it b1}\,{{\it c2}}^{2}+ \left ( -i{A}^{2}{\it b1}-i{\it a1}\,{\it b2} \,{\it c1}-i{{\it b1}}^{2}{\it b2} \right ) {\it c2}+ \left ( -i{A}^{2}{ \it b2}-i{\it b1}\,{{\it b2}}^{2} \right ) {\it c1} \right ) {\it \_C4} \,\omega + \left ( -{\it a1}\,{\it c1}\,{{\it c2}}^{2}+ \left ( -{A}^{2}- {\it b2}\,{\it b1} \right ) {\it c1}\,{\it c2} \right ) {\it \_C4} \right ) {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=4 \right ) }{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+ i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{ \it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}}+{\frac {-{\it \_C4}\,{\it a1}\,{ \it a2}\,{\it b1}\,{\it c2}\,{\omega }^{4}+ \left ( i{\it a1}\,{\it b1} \,{\it b2}+i{\it a2}\,{{\it b1}}^{2} \right ) {\it c2}\,{\it \_C4}\,{ \omega }^{3}+ \left ( {\it a1}\,{\it b1}\,{{\it c2}}^{2}+ \left ( {A}^{2} {\it b1}+{\it a2}\,{\it b1}\,{\it c1}+{\it b2}\,{{\it b1}}^{2} \right ) {\it c2} \right ) {\it \_C4}\,{\omega }^{2}+ \left ( -i{{\it b1} }^{2}{{\it c2}}^{2}-i{\it b1}\,{\it b2}\,{\it c1}\,{\it c2} \right ) { \it \_C4}\,\omega -{\it \_C4}\,{\it b1}\,{\it c1}\,{{\it c2}}^{2}}{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+ i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{ \it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}} \right ) {{\rm e}^{{\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2} +{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\, {\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2} + \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=4 \right ) t}}+ \left ( {\frac { \left ( -{\it \_C3}\,{{\it a1}}^{2}{{\it a2}}^{2}{\omega }^{4}+ \left ( i{{\it a1}}^{2 }{\it a2}\,{\it b2}+i{\it a1}\,{{\it a2}}^{2}{\it b1} \right ) {\it \_C3}\,{\omega }^{3}+ \left ( {A}^{2}{\it a1}\,{\it a2}+{{\it a1}}^{2}{ \it a2}\,{\it c2}+{\it a1}\,{{\it a2}}^{2}{\it c1}+{\it a1}\,{\it a2} \,{\it b1}\,{\it b2} \right ) {\it \_C3}\,{\omega }^{2}+ \left ( -i{\it a1}\,{\it a2}\,{\it b1}\,{\it c2}-i{\it a1}\,{\it a2}\,{\it b2}\,{\it c1} \right ) {\it \_C3}\,\omega -{\it \_C3}\,{\it a1}\,{\it a2}\,{\it c1 }\,{\it c2} \right ) \left ( {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{ \it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{ \it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{ \it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{ \it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=3 \right ) \right ) ^{3}}{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}}+{\frac { \left ( \left ( -{{\it a1}}^{2}{\it a2}\,{\it b2}-{\it a1}\,{{\it a2}} ^{2}{\it b1} \right ) {\it \_C3}\,{\omega }^{4}+ \left ( i{{\it a1}}^{2}{ {\it b2}}^{2}+2\,i{\it a1}\,{\it a2}\,{\it b1}\,{\it b2}+i{{\it a2}}^{ 2}{{\it b1}}^{2} \right ) {\it \_C3}\,{\omega }^{3}+ \left ( \left ( {{ \it a1}}^{2}{\it b2}+{\it a1}\,{\it a2}\,{\it b1} \right ) {\it c2}+ \left ( {\it a1}\,{\it a2}\,{\it b2}+{{\it a2}}^{2}{\it b1} \right ) { \it c1}+{\it a1}\,{\it b1}\,{{\it b2}}^{2}+ \left ( {A}^{2}{\it a1}+{ \it a2}\,{{\it b1}}^{2} \right ) {\it b2}+{A}^{2}{\it a2}\,{\it b1} \right ) {\it \_C3}\,{\omega }^{2}+ \left ( \left ( -i{\it a1}\,{\it b1} \,{\it b2}-i{\it a2}\,{{\it b1}}^{2} \right ) {\it c2}+ \left ( -i{\it a1}\,{{\it b2}}^{2}-i{\it a2}\,{\it b1}\,{\it b2} \right ) {\it c1} \right ) {\it \_C3}\,\omega + \left ( -{\it a1}\,{\it b2}-{\it a2}\,{ \it b1} \right ) {\it c1}\,{\it c2}\,{\it \_C3} \right ) \left ( {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{ \it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{ \it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=3 \right ) \right ) ^{2}}{ \left ( - {\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2} \,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{ \it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{ \it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2 } \right ) {\it c1}\,A}}+{\frac { \left ( \left ( -{A}^{2}{\it a1}\,{ \it a2}-{{\it a1}}^{2}{\it a2}\,{\it c2}-{\it a1}\,{\it a2}\,{\it b1} \,{\it b2} \right ) {\it \_C3}\,{\omega }^{4}+ \left ( \left ( i{{\it a1} }^{2}{\it b2}+i{\it a1}\,{\it a2}\,{\it b1} \right ) {\it c2}+i{\it a1} \,{\it b1}\,{{\it b2}}^{2}+ \left ( i{A}^{2}{\it a1}+i{\it a2}\,{{\it b1}}^{2} \right ) {\it b2}+i{A}^{2}{\it a2}\,{\it b1} \right ) {\it \_C3 }\,{\omega }^{3}+ \left ( {{\it a1}}^{2}{{\it c2}}^{2}+ \left ( 2\,{A}^{2 }{\it a1}+{\it a1}\,{\it a2}\,{\it c1}+2\,{\it a1}\,{\it b1}\,{\it b2} \right ) {\it c2}+ \left ( {A}^{2}{\it a2}+{\it a2}\,{\it b1}\,{\it b2} \right ) {\it c1}+{A}^{4}+2\,{A}^{2}{\it b1}\,{\it b2}+{{\it b2}}^{2}{ {\it b1}}^{2} \right ) {\it \_C3}\,{\omega }^{2}+ \left ( -i{\it a1}\,{ \it b1}\,{{\it c2}}^{2}+ \left ( -i{A}^{2}{\it b1}-i{\it a1}\,{\it b2} \,{\it c1}-i{{\it b1}}^{2}{\it b2} \right ) {\it c2}+ \left ( -i{A}^{2}{ \it b2}-i{\it b1}\,{{\it b2}}^{2} \right ) {\it c1} \right ) {\it \_C3} \,\omega + \left ( -{\it a1}\,{\it c1}\,{{\it c2}}^{2}+ \left ( -{A}^{2}- {\it b2}\,{\it b1} \right ) {\it c1}\,{\it c2} \right ) {\it \_C3} \right ) {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=3 \right ) }{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+ i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{ \it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}}+{\frac {-{\it \_C3}\,{\it a1}\,{ \it a2}\,{\it b1}\,{\it c2}\,{\omega }^{4}+ \left ( i{\it a1}\,{\it b1} \,{\it b2}+i{\it a2}\,{{\it b1}}^{2} \right ) {\it c2}\,{\it \_C3}\,{ \omega }^{3}+ \left ( {\it a1}\,{\it b1}\,{{\it c2}}^{2}+ \left ( {A}^{2} {\it b1}+{\it a2}\,{\it b1}\,{\it c1}+{\it b2}\,{{\it b1}}^{2} \right ) {\it c2} \right ) {\it \_C3}\,{\omega }^{2}+ \left ( -i{{\it b1} }^{2}{{\it c2}}^{2}-i{\it b1}\,{\it b2}\,{\it c1}\,{\it c2} \right ) { \it \_C3}\,\omega -{\it \_C3}\,{\it b1}\,{\it c1}\,{{\it c2}}^{2}}{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+ i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{ \it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}} \right ) {{\rm e}^{{\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2} +{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\, {\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2} + \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=3 \right ) t}}+ \left ( {\frac { \left ( -{\it \_C2}\,{{\it a1}}^{2}{{\it a2}}^{2}{\omega }^{4}+ \left ( i{{\it a1}}^{2 }{\it a2}\,{\it b2}+i{\it a1}\,{{\it a2}}^{2}{\it b1} \right ) {\it \_C2}\,{\omega }^{3}+ \left ( {A}^{2}{\it a1}\,{\it a2}+{{\it a1}}^{2}{ \it a2}\,{\it c2}+{\it a1}\,{{\it a2}}^{2}{\it c1}+{\it a1}\,{\it a2} \,{\it b1}\,{\it b2} \right ) {\it \_C2}\,{\omega }^{2}+ \left ( -i{\it a1}\,{\it a2}\,{\it b1}\,{\it c2}-i{\it a1}\,{\it a2}\,{\it b2}\,{\it c1} \right ) {\it \_C2}\,\omega -{\it \_C2}\,{\it a1}\,{\it a2}\,{\it c1 }\,{\it c2} \right ) \left ( {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{ \it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{ \it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{ \it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{ \it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=2 \right ) \right ) ^{3}}{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}}+{\frac { \left ( \left ( -{{\it a1}}^{2}{\it a2}\,{\it b2}-{\it a1}\,{{\it a2}} ^{2}{\it b1} \right ) {\it \_C2}\,{\omega }^{4}+ \left ( i{{\it a1}}^{2}{ {\it b2}}^{2}+2\,i{\it a1}\,{\it a2}\,{\it b1}\,{\it b2}+i{{\it a2}}^{ 2}{{\it b1}}^{2} \right ) {\it \_C2}\,{\omega }^{3}+ \left ( \left ( {{ \it a1}}^{2}{\it b2}+{\it a1}\,{\it a2}\,{\it b1} \right ) {\it c2}+ \left ( {\it a1}\,{\it a2}\,{\it b2}+{{\it a2}}^{2}{\it b1} \right ) { \it c1}+{\it a1}\,{\it b1}\,{{\it b2}}^{2}+ \left ( {A}^{2}{\it a1}+{ \it a2}\,{{\it b1}}^{2} \right ) {\it b2}+{A}^{2}{\it a2}\,{\it b1} \right ) {\it \_C2}\,{\omega }^{2}+ \left ( \left ( -i{\it a1}\,{\it b1} \,{\it b2}-i{\it a2}\,{{\it b1}}^{2} \right ) {\it c2}+ \left ( -i{\it a1}\,{{\it b2}}^{2}-i{\it a2}\,{\it b1}\,{\it b2} \right ) {\it c1} \right ) {\it \_C2}\,\omega + \left ( -{\it a1}\,{\it b2}-{\it a2}\,{ \it b1} \right ) {\it c1}\,{\it c2}\,{\it \_C2} \right ) \left ( {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{ \it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{ \it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=2 \right ) \right ) ^{2}}{ \left ( - {\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2} \,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{ \it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{ \it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2 } \right ) {\it c1}\,A}}+{\frac { \left ( \left ( -{A}^{2}{\it a1}\,{ \it a2}-{{\it a1}}^{2}{\it a2}\,{\it c2}-{\it a1}\,{\it a2}\,{\it b1} \,{\it b2} \right ) {\it \_C2}\,{\omega }^{4}+ \left ( \left ( i{{\it a1} }^{2}{\it b2}+i{\it a1}\,{\it a2}\,{\it b1} \right ) {\it c2}+i{\it a1} \,{\it b1}\,{{\it b2}}^{2}+ \left ( i{A}^{2}{\it a1}+i{\it a2}\,{{\it b1}}^{2} \right ) {\it b2}+i{A}^{2}{\it a2}\,{\it b1} \right ) {\it \_C2 }\,{\omega }^{3}+ \left ( {{\it a1}}^{2}{{\it c2}}^{2}+ \left ( 2\,{A}^{2 }{\it a1}+{\it a1}\,{\it a2}\,{\it c1}+2\,{\it a1}\,{\it b1}\,{\it b2} \right ) {\it c2}+ \left ( {A}^{2}{\it a2}+{\it a2}\,{\it b1}\,{\it b2} \right ) {\it c1}+{A}^{4}+2\,{A}^{2}{\it b1}\,{\it b2}+{{\it b2}}^{2}{ {\it b1}}^{2} \right ) {\it \_C2}\,{\omega }^{2}+ \left ( -i{\it a1}\,{ \it b1}\,{{\it c2}}^{2}+ \left ( -i{A}^{2}{\it b1}-i{\it a1}\,{\it b2} \,{\it c1}-i{{\it b1}}^{2}{\it b2} \right ) {\it c2}+ \left ( -i{A}^{2}{ \it b2}-i{\it b1}\,{{\it b2}}^{2} \right ) {\it c1} \right ) {\it \_C2} \,\omega + \left ( -{\it a1}\,{\it c1}\,{{\it c2}}^{2}+ \left ( -{A}^{2}- {\it b2}\,{\it b1} \right ) {\it c1}\,{\it c2} \right ) {\it \_C2} \right ) {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=2 \right ) }{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+ i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{ \it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}}+{\frac {-{\it \_C2}\,{\it a1}\,{ \it a2}\,{\it b1}\,{\it c2}\,{\omega }^{4}+ \left ( i{\it a1}\,{\it b1} \,{\it b2}+i{\it a2}\,{{\it b1}}^{2} \right ) {\it c2}\,{\it \_C2}\,{ \omega }^{3}+ \left ( {\it a1}\,{\it b1}\,{{\it c2}}^{2}+ \left ( {A}^{2} {\it b1}+{\it a2}\,{\it b1}\,{\it c1}+{\it b2}\,{{\it b1}}^{2} \right ) {\it c2} \right ) {\it \_C2}\,{\omega }^{2}+ \left ( -i{{\it b1} }^{2}{{\it c2}}^{2}-i{\it b1}\,{\it b2}\,{\it c1}\,{\it c2} \right ) { \it \_C2}\,\omega -{\it \_C2}\,{\it b1}\,{\it c1}\,{{\it c2}}^{2}}{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+ i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{ \it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}} \right ) {{\rm e}^{{\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2} +{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\, {\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2} + \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=2 \right ) t}}+ \left ( {\frac { \left ( -{\it \_C1}\,{{\it a1}}^{2}{{\it a2}}^{2}{\omega }^{4}+ \left ( i{{\it a1}}^{2 }{\it a2}\,{\it b2}+i{\it a1}\,{{\it a2}}^{2}{\it b1} \right ) {\it \_C1}\,{\omega }^{3}+ \left ( {A}^{2}{\it a1}\,{\it a2}+{{\it a1}}^{2}{ \it a2}\,{\it c2}+{\it a1}\,{{\it a2}}^{2}{\it c1}+{\it a1}\,{\it a2} \,{\it b1}\,{\it b2} \right ) {\it \_C1}\,{\omega }^{2}+ \left ( -i{\it a1}\,{\it a2}\,{\it b1}\,{\it c2}-i{\it a1}\,{\it a2}\,{\it b2}\,{\it c1} \right ) {\it \_C1}\,\omega -{\it \_C1}\,{\it a1}\,{\it a2}\,{\it c1 }\,{\it c2} \right ) \left ( {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{ \it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{ \it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{ \it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{ \it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=1 \right ) \right ) ^{3}}{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}}+{\frac { \left ( \left ( -{{\it a1}}^{2}{\it a2}\,{\it b2}-{\it a1}\,{{\it a2}} ^{2}{\it b1} \right ) {\it \_C1}\,{\omega }^{4}+ \left ( i{{\it a1}}^{2}{ {\it b2}}^{2}+2\,i{\it a1}\,{\it a2}\,{\it b1}\,{\it b2}+i{{\it a2}}^{ 2}{{\it b1}}^{2} \right ) {\it \_C1}\,{\omega }^{3}+ \left ( \left ( {{ \it a1}}^{2}{\it b2}+{\it a1}\,{\it a2}\,{\it b1} \right ) {\it c2}+ \left ( {\it a1}\,{\it a2}\,{\it b2}+{{\it a2}}^{2}{\it b1} \right ) { \it c1}+{\it a1}\,{\it b1}\,{{\it b2}}^{2}+ \left ( {A}^{2}{\it a1}+{ \it a2}\,{{\it b1}}^{2} \right ) {\it b2}+{A}^{2}{\it a2}\,{\it b1} \right ) {\it \_C1}\,{\omega }^{2}+ \left ( \left ( -i{\it a1}\,{\it b1} \,{\it b2}-i{\it a2}\,{{\it b1}}^{2} \right ) {\it c2}+ \left ( -i{\it a1}\,{{\it b2}}^{2}-i{\it a2}\,{\it b1}\,{\it b2} \right ) {\it c1} \right ) {\it \_C1}\,\omega + \left ( -{\it a1}\,{\it b2}-{\it a2}\,{ \it b1} \right ) {\it c1}\,{\it c2}\,{\it \_C1} \right ) \left ( {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{ \it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{ \it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=1 \right ) \right ) ^{2}}{ \left ( - {\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2} \,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{ \it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{ \it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2 } \right ) {\it c1}\,A}}+{\frac { \left ( \left ( -{A}^{2}{\it a1}\,{ \it a2}-{{\it a1}}^{2}{\it a2}\,{\it c2}-{\it a1}\,{\it a2}\,{\it b1} \,{\it b2} \right ) {\it \_C1}\,{\omega }^{4}+ \left ( \left ( i{{\it a1} }^{2}{\it b2}+i{\it a1}\,{\it a2}\,{\it b1} \right ) {\it c2}+i{\it a1} \,{\it b1}\,{{\it b2}}^{2}+ \left ( i{A}^{2}{\it a1}+i{\it a2}\,{{\it b1}}^{2} \right ) {\it b2}+i{A}^{2}{\it a2}\,{\it b1} \right ) {\it \_C1 }\,{\omega }^{3}+ \left ( {{\it a1}}^{2}{{\it c2}}^{2}+ \left ( 2\,{A}^{2 }{\it a1}+{\it a1}\,{\it a2}\,{\it c1}+2\,{\it a1}\,{\it b1}\,{\it b2} \right ) {\it c2}+ \left ( {A}^{2}{\it a2}+{\it a2}\,{\it b1}\,{\it b2} \right ) {\it c1}+{A}^{4}+2\,{A}^{2}{\it b1}\,{\it b2}+{{\it b2}}^{2}{ {\it b1}}^{2} \right ) {\it \_C1}\,{\omega }^{2}+ \left ( -i{\it a1}\,{ \it b1}\,{{\it c2}}^{2}+ \left ( -i{A}^{2}{\it b1}-i{\it a1}\,{\it b2} \,{\it c1}-i{{\it b1}}^{2}{\it b2} \right ) {\it c2}+ \left ( -i{A}^{2}{ \it b2}-i{\it b1}\,{{\it b2}}^{2} \right ) {\it c1} \right ) {\it \_C1} \,\omega + \left ( -{\it a1}\,{\it c1}\,{{\it c2}}^{2}+ \left ( -{A}^{2}- {\it b2}\,{\it b1} \right ) {\it c1}\,{\it c2} \right ) {\it \_C1} \right ) {\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=1 \right ) }{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+ i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{ \it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}}+{\frac {-{\it \_C1}\,{\it a1}\,{ \it a2}\,{\it b1}\,{\it c2}\,{\omega }^{4}+ \left ( i{\it a1}\,{\it b1} \,{\it b2}+i{\it a2}\,{{\it b1}}^{2} \right ) {\it c2}\,{\it \_C1}\,{ \omega }^{3}+ \left ( {\it a1}\,{\it b1}\,{{\it c2}}^{2}+ \left ( {A}^{2} {\it b1}+{\it a2}\,{\it b1}\,{\it c1}+{\it b2}\,{{\it b1}}^{2} \right ) {\it c2} \right ) {\it \_C1}\,{\omega }^{2}+ \left ( -i{{\it b1} }^{2}{{\it c2}}^{2}-i{\it b1}\,{\it b2}\,{\it c1}\,{\it c2} \right ) { \it \_C1}\,\omega -{\it \_C1}\,{\it b1}\,{\it c1}\,{{\it c2}}^{2}}{ \left ( -{\it a1}\,{\it a2}\,{\omega }^{4}+ \left ( i{\it b2}\,{\it a1}+ i{\it a2}\,{\it b1} \right ) {\omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{ \it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{\it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\,A}} \right ) {{\rm e}^{{\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2} +{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\, {\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2} + \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=1 \right ) t}}+{\frac { \left ( -iAB{\it b2}\, {\it c1}\,\omega +AB{\it a2}\,{\it c1}\,{\omega }^{2}-AB{\it c1}\,{\it c2} \right ) {{\rm e}^{i\omega \,t}}}{ \left ( -{\it a1}\,{\it a2}\,{ \omega }^{4}+ \left ( i{\it b2}\,{\it a1}+i{\it a2}\,{\it b1} \right ) { \omega }^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1}\,{\it a2}+{ \it b2}\,{\it b1} \right ) {\omega }^{2}+ \left ( -i{\it b1}\,{\it c2}-i{ \it b2}\,{\it c1} \right ) \omega -{\it c1}\,{\it c2} \right ) {\it c1}\, A}},y \left ( t \right ) ={\frac {i{{\rm e}^{i\omega \,t}}\omega \,BA}{i{ \it a1}\,{\it b2}\,{\omega }^{3}+i{\it a2}\,{\it b1}\,{\omega }^{3}-{ \it a1}\,{\it a2}\,{\omega }^{4}+{A}^{2}{\omega }^{2}-i{\it c2}\,{\it b1 }\,\omega -i{\it b2}\,{\it c1}\,\omega +{\it a1}\,{\it c2}\,{\omega }^{2} +{\it c1}\,{\it a2}\,{\omega }^{2}+{\it b2}\,{\it b1}\,{\omega }^{2}-{ \it c1}\,{\it c2}}}+{\it \_C1}\,{{\rm e}^{{\it RootOf} \left ( {\it a1} \,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+{\it c1 }\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2 }\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{ \it index}=1 \right ) t}}+{\it \_C2}\,{{\rm e}^{{\it RootOf} \left ( { \it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2}+{\it a2} \,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\,{\it c2}+ {\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{ \it c2},{\it index}=2 \right ) t}}+{\it \_C3}\,{{\rm e}^{{\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{\it b2} +{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{\it a1}\, {\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2} + \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=3 \right ) t}}+{\it \_C4}\,{{\rm e}^{{\it RootOf} \left ( {\it a1}\,{\it a2}\,{{\it \_Z}}^{4}+ \left ( {\it a1}\,{ \it b2}+{\it a2}\,{\it b1} \right ) {{\it \_Z}}^{3}+ \left ( {A}^{2}+{ \it a1}\,{\it c2}+{\it c1}\,{\it a2}+{\it b2}\,{\it b1} \right ) {{\it \_Z}}^{2}+ \left ( {\it c2}\,{\it b1}+{\it b2}\,{\it c1} \right ) {\it \_Z}+{\it c1}\,{\it c2},{\it index}=4 \right ) t}} \right \} \right \} \]