As reported on this question, tangent_vector_eval_at doesn't work if the option solve_across_charts is set to True in the geodesic declaration.
This is because the resulting interpolation is stored in a segmented way (one for each chart encountered during the integration), which is not expected by tangent_vector_eval_at.
CC: @egourgoulhon
Component: manifolds
Keywords: geodesic, charts
Issue created by migration from https://trac.sagemath.org/ticket/31813