of the last quadrupole, FRF3QT32. 1st-order transfer matrix elements at the focal planes in the Ring Branch. Matrix element FMF1 FMF2 FRF1 FRF2 FRF3 (x,x) -4.18 1.84 -1.82 4.18 -2.00 (x,a) (x,d) 6.35 -5 [...] -5.59 5.52 -6.35 (a,a) -0.24 0.54 -0.55 0.24 -0.50 (a,d) 0.09 0.03 (y,y) 0.25 0.11 1.34 1.37 (y,b) -0.61 0.63 -0.76 1.34 -0.10 (b,b) -0.19 0.03 -0.25 -0.36 0.71 Path length (m) 98.08 123.86 150.46 176.24 [...] that of the other branches, particularly in the vertical ( y ) dimension. The table below gives the 1 st -order transfer matrix elements at the focal planes in the Ring Branch of the Main-Separator. The