Left panel: comparison between the observed giant exoplanet population (grey dots) and all the simulations for the three-planet systems. The initial values of these planets are denoted as orange for the case where the planets located in a wide configuration while brown dots denote planets located in a compact configuration, where the small numbers indicate the position of the first, second, and third planet. Purple, green, and red data points symbolise the simulations for the different α, 10⁻³, 3.16 × 10⁻⁴, and 10⁻⁴, respectively, whereas the coloured numbers shows the mean value and the standard deviation of the eccentricity for each case for all the simulated three- planet systems. The horizontal lines refers to the perihelion and aphelion of the planet a(1 ± e). The vertical black dashed line represents the current RV detection limit at 5 AU. Right panel: cumulative frequency of the eccentricity for planets up to 5 AU and mass between 0.5 ≤ mass(M_Jup) ≤ 13. We also note that these plots include both cases for the initial mass (fixed and random value).