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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def sym_exp_map(cls, q, eta):
 """Quaternion symmetrized exponential map. Find the symmetrized exponential map on the quaternion Riemannian manifold. Params: q: the base point as a Quaternion object eta: the tangent vector argument of the exponential map as a Quaternion object Returns: A quaternion p. Note: The symmetrized exponential formulation is akin to the exponential formulation for symmetric positive definite tensors [Source](http://www.academia.edu/7656761/On_the_Averaging_of_Symmetric_Positive-Definite_Tensors) """

        sqrt_q = q ** 0.5
        return sqrt_q * Quaternion.exp(eta) * sqrt_q