Top panel: Reconstructed radial velocity perturbations U′_R(R, Z) of the most unstable SMRI eigenmode in the following regime, Ek = 10⁻⁵, Λ = 1.6, Pm = 1, Pr = 0.1, β = 0 for a radial stratification (N/Ω)²(R) = 1.3/R² and 5 different rotation profiles Ω(R) = Ω_inr^−2Ro with a constant shear |Ro| of 0.1, 0.2, 0.25, 0.3 and 0.5. The fastest growth rate computed is given below the shear value considered. The red overlayed curves correspond to the local estimate (Eq. 11). The other perturbations U_ϕ′,U′_Z, B′_R, B′_ϕ, B′_Z, T′ are located in the same regions. Bottom panel: Same for AMRI eigenmode with m = 2 and in the following regime, Ek = 10⁵, Λ_ϕ = 2.5 × 10⁴, Pm = 2, Pr = 0.001, (N/Ω)²(R) = 100/R² and 5 different rotation profiles Ω(R) = Ω_inr^−2|Ro| with a constant shear |Ro| of 0.1, 0.2, 0.25, 0.3 and 0.5.