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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_log_map(cls, q, p):
 """Quaternion symmetrized logarithm map. Find the symmetrized logarithm map on the quaternion Riemannian manifold. Params: q: the base point at which the logarithm is computed, i.e. a Quaternion object p: the argument of the quaternion map, a Quaternion object Returns: A tangent vector corresponding to the symmetrized geodesic curve formulation. Note: Information on the symmetrized formulations given in [Source](https://www.researchgate.net/publication/267191489_Riemannian_L_p_Averaging_on_Lie_Group_of_Nonzero_Quaternions). """

        inv_sqrt_q = (q ** (-0.5))
        return Quaternion.log(inv_sqrt_q * p * inv_sqrt_q)