Differential rotation between the inner and outer spheres ΔΩ = Ω(r_i)−Ω(r₀) normalised to the top value Ω₀ obtained after subtracting the numerical Taylor–Proudman contribution, plotted as a function of the inverse of the integral of the background density profile normalised to the outer sphere value ρ₀ for different latitudes: θ = π/2, π/4, π/8, π/16, and π/32 shown respectively in green, cyan, light blue, purple, and blue. The parameters are E = 10⁻⁵, P_r(N₀/Ω₀)² = 10⁻¹, and Re_c = 10⁻². The symbols, circles, diamonds, squares, and triangles, respectively correspond to the different density contrasts between the inner and outer spheres ρ_i/ρ₀ = 1.75, 10.8, 20.9, and 60.2 (runs 1.1–1.4 in Table 8).