Dependency of the predictability index on the dark halo orientation φ. The flattening is fixed to q_z = 1.25. A higher value means a better shadowing, thus a better predictability. Left: L-orbits, close to the disc orbits. Right: H-orbits, initial conditions with higher z. The inset zooms on the orientation angles around 90 deg. In this interval we see that HC2 and HF2, the blue orbits with higher initial velocities, have very low predictabilities. Specifically, HC2 has a close-to-zero predictability at φ = 115. This orbit is plotted in Fig. 5.