Hi Allan,
In the first link to the ESO in your most recent post (text quoted below) it mentions the 8000 actuators on the adaptive optics (achieved on the 2.4m diameter mirror M4). the same information is also stated in the initial Video.
Best
JA
"E-ELT OPTICAL DESIGN
The optical design for the E-ELT is that of a folded three-mirror anastigmat, folding being provided by two flat mirrors sending the beam to either Nasmyth foci along the elevation axis of the telescope (see Figure 1). The optics are mounted on an altitude azimuth telescope main structure.
The present concept features as a baseline for the primary mirror (M1) an elliptical f/0.93 segmented mirror of 39-m diameter and a 11.1-m central obstruction. The 4.2-m secondary mirror (M2) is convex and returns the beam, through a hole in the quaternary mirror (M4), to the 3.8-m mildly aspheric concave tertiary mirror (M3) located at the vertex of the primary. The beam is reflected by M3 to the adaptive optics system, the 2380x2340mm quaternary flat adaptive mirror M4, supported by up to 8000 actuators, and the fifth mirror in the train (M5) that allows for the final image correction. M4 is inclined at 7.75 degrees to the beam direction. M5 is a flat mirror, elliptical in contour, defines the altitude axis of the telescope and steers the beam towards the Nasmyth focus. The output beam at f/17.48 is very nearly diffraction limited over the entire 10-arcminute field of view. The total Nasmyth field of view is limited to 10 arcmin by the dimensions of the way-through hole in M4. The rather large Nasmyth focal ratio is constrained by the backfocal distance, and the location and size of mirrors M4 to M5."