How to calculate the following Jacobian on Lie group SO(3)?

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everyone, I've met a problem to calculate the following question(see https://openaccess.thecvf.com/content_CVPR_2020/papers/Sommer_Efficient_Derivative_Computation_for_Cumulative_B-Splines_on_Lie_Groups_CVPR_2020_paper.pdf): The partial differential is: SO(3) partial with respect to vector I've tried to calculate this but it seems that the result does not coincide with the code which contains in so3_spline.h of basalt:

J_helper = coeff[i + 1] * res.matrix() * Jl_k_delta * Jl_inv_delta * p0.inverse().matrix();
Does anyone know the reasons?

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