Evolution of the distribution of the relative angle between the magnetic field and the filament (θ_Bφ) in High_B (top) and Low_B (bottom). The black dashed lines mark the random distribution for the relative orientation of two independent vectors in 3D. The yellow dotted lines mark the average Alfvén Mach number ℳ_A for filament portions at a given θ_Bφ (scale on the right axis). With a strong magnetic field, filaments align perpendicularly to B, while a weak magnetic field stimulates parallel configurations. The positive dependence of ℳ_A on θ_Bφ and the angle distribution suggests that filament orientation relative to B is governed by alfvénic modes in strong fields and by turbulent flows in weak fields.