Top: corrective OGC weighting W(i), as defined per Eq. (18), for the ELT simulation with N = 4309 modes. Bottom: distribution of the weighting W(i) in the Fourier plane of the pupil. At each frequency in the Fourier plane, the weight shown is the W(i) of the KL mode which bears the most energy at that specific frequency. This representation is obtained by computing the Fourier transform of all modes and finding the mode that is most representative of any given spatial frequency. The dashed hexagon shows the correction zone of the M4 DM. The displayed area is 100 across.