The option(s) with the values of a and L that satisfy the following equation is (are) $\frac{{\int }_0^{4\pi }{e}^t\left({\sin }^{6}at+{\cos }^{4}at\right)dt}{{\int }_0^{\pi }{e}^t\left({\sin }^{6}at+{\cos }^{4}at\right)dt}=L$

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