Complex eigenspectrum of the two-loop system and of the left and right loops as a function of ζ_R. a) Complex spectrum for the higher (crosses) and lower (diagonal crosses) eigenfrequencies of the two-loop system, and the eigenfrequencies of the equivalent left (solid diamond) and right (boxes) loop in cylindrical coordinates as a function of ζ_R. The damping rates of the left and right loop have been corrected for geometric effects (see text). The parameter ζ_R increases from 1 to 9 in steps of 0.2. The direction in which the eigenfrequencies move when ζ_R increases are indicated with arrows. b) Damping rates of the two-loop system γ₊ (thick dashed line) and γ₋ (full line) and of the left (dotted line) and the right (dashed line) loop as a function of ζ_R. The damping rates of the left and right loop have been corrected for geometric effects (see text). c) The density ζ_R of the right loop as a function of the eigenfrequencies ω₊ (thick dashed line) and ω₋ (full line) of the two-loop system, and ω_kL (dotted line) and ω_kR (dashed line) of the left and right loop, respectively.