Invariant magnetic-field strength, b; the spatial magnetic-field components, B^r and B^θ; and four-vector-potential component, A_ϕ, over the polar angle at the initialization step (t = 0 M). Colors correspond to simulations K.60 (orange), K.80 (green), K.90 (blue), K.95 (magenta), and K.99 (red). In the middle row, the solid lines show B^r and the dashed lines B^θ. We chose polar slices at radii close to the inner edge of the torus at r_in = 20 M and at the pressure maximum in the tori at r = 50 M. Note that in columns going from left to right, i.e., radially outwards, the simulations with higher filling factors show increased magnetic-field strengths and extended magnetic field, both radially and in the polar-angle, especially at the inner edge of the torus.