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Fig. 3

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Dependence of maintaining the MMR chain among the three innermost super-Jupiter planets as a function of the ratios τa,e+/τa,d+$\tau _{a,e}^ + /\tau _{a,d}^ + $ and τa,d+/τa,c+$\tau _{a,d}^ + /\tau _{a,c}^ + $. The plot exhibits a grid composed of 20 × 40 simulations. The color scale represents the standard deviation normalized to the minimum value of the resonant angle λe – 2λdλc + 2λb over 20 Myr of evolution. Thus, values close to 0 indicate that the MMR is preserved throughout the entire evolutionary period. Here, τa,c+$\tau _{a,c}^ + $ and Td are fixed at 1 and 2.75 Myr, respectively, while τa,e+$\tau _{a,e}^ + $ and τa,d+$\tau _{a,d}^ + $ are varied. The green and black crosses represent the values that correspond to the fiducial model and the simulation in Panel (C) of Figure 4.

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