many equilibrium states.

Physical quantities of these models are shown in Table \[tab:m-mu\]. It can be seen that values of $\Pi / |W|$ and $\alpha$ are almost the same among these models. Although the strength of the averaged surface magnetic field is $H_{sur} = 1.5 \times10^{15}$ G, the values of ${\cal H} / |W|$ are much smaller than those of $\Pi / |W|$. It implies that the effect of the magnetic fields in these configurations on their global structures is very small. On the other hand, values of $H_c / H_{sur}$ and ${\cal H}/ |W|$ vary rather considerably for different values of $m$. As the value of $m$ is decreased, values of $H_c / H_{sur}$ and ${\cal H}/ |W|$ increase. In Fig. \[fig:magnetic\_structure\] the structure and strength of magnetic fields are shown for three different values of $m$, i.e. $m = -2.0$ (negative $m$ model), $m = 0.0$ ($\hat{\mu}$ = constant model) and $m = 1.0$ (positive $m$ model). The left-hand panels show the [*poloidal*]{} magnetic field lines and the regions where the [*toroidal*]{} magnetic field exists. The right-habd panels display the strength of the magnetic field $|\Vec{H}|$ normalized by the averaged surface magnetic field $H_{sur}$.

As seen from these 