Mass-weighted spherically binned radial profiles of density, temperature, radial velocity, vorticity squared, sonic Mach number, magnetic field strength, magnetic field amplification B/ρ^2/3, and the magnetic-to-kinetic energy density ratio E_B/E_K for halo 1 when reaching a peak density of 3 × 10⁻¹³ g cm⁻³ using a fixed Jeans resolution of 128 cells per Jeans length. The quantity B/ρ^2/3 is normalised by with B₀ the initial magnetic field strength and ρ₀ the cosmic mean baryon density at z = 100. The light blue lines represent the simulations with J₂₁ = 10³ where the cooling is driven via molecular hydrogen, and the red lines are for simulations with J₂₁ = 10⁵ where the cooling is driven by atomic hydrogen. The solid lines are for runs with B₀ = 10⁻⁸ [G] (proper), dashed lines for runs with B₀ = 10⁻¹⁰ [G] (proper), and dotted lines for runs with B₀ = 10⁻¹⁴ [G] (proper). The infall velocity tends to be higher and the vorticity tends to be larger for the simulations using J₂₁ = 10⁵, while the sonic mach number tends to be smaller compared to the simulations with J₂₁ = 10³ following the thermal evolution of the halo. Magnetic field strength, B/ρ^2/3 and E_B/E_K also tend to be higher for the simulations in the atomic cooling regime, which is consistent with the behaviour of the physical properties of the halo.