Evolution of the total angular momentum vs energy phase space (L_tot, E) (left panels, top to bottom), zth component of the angular momentum vs energy (L_z, E) (middle, top to bottom), and the perpendicular component of the angular momentum vs energy (L_perp, E) (right, top to bottom) for 411321, 441327, and 451323 TNG-TVPs. The colours represent data at different times in Gyr lookback time: magenta for T = 0, orange for T = 2.5, green for T = 5, cyan for T = 7.5, and red for T = 10. The GCs Pal 3, Crater, and Sagittarius II are not shown in the (L_tot, E) and (L_perp, E) phase spaces, and Sagittarius II is not shown in (L_z, E) phase space because their values are extremely high.