Table 1: Parameters for two "Hot Jupiters''. The values used for the calculation of the magnetic moments are given in units normalized to Jupiter, while the relative core radius, resulting from Eqs. (6) and (8), is normalized to the planetary radius. The magnetic moment is given for two cases: "tidal locking'' (using the value of $\omega$ given above), and "fast rotation'' (for the hypothetical case $\omega =\omega _{\rm J}$ ).
HD 209458b OGLE-TR-56b

Semimajor axis r [AU] 0.045 0.0225

Radius R [ $R_{\rm J}$ ] 1.42 1.23

Mass M [ $M_{\rm J}$ ] 0.69 1.45

Rotation rate $\omega$ [ $\omega_{\rm J}$ ] 0.12 0.34

Core density $\rho_{\rm c}$ [ $\rho_{\rm c, J}$ ] 0.24 0.78

Relative core radius $r_{\rm c}/R$ (6) 0.54 0.86

Relative core radius $r_{\rm c}/R$ (8) 0.34 0.79

$\mathcal{M}$ [ $\mathcal{M}_{\rm J}$ ] (for tidal locking) 0.005 ...0.10 0.40 ...0.84

$\mathcal{M}$ [ $\mathcal{M}_{\rm J}$ ] (for fast rotation) 0.042 ...0.30 1.1 ...1.7

**Table 1:** Parameters for two "Hot Jupiters''. The values used for the calculation of the magnetic moments are given in units normalized to Jupiter, while the relative core radius, resulting from Eqs. (6) and (8), is normalized to the planetary radius. The magnetic moment is given for two cases: "tidal locking'' (using the value of $\omega$ given above), and "fast rotation'' (for the hypothetical case $\omega =\omega _{\rm J}$ ).
	HD 209458b	OGLE-TR-56b
Semimajor axis r [AU]	0.045	0.0225
Radius R [ $R_{\rm J}$ ]	1.42	1.23
Mass M [ $M_{\rm J}$ ]	0.69	1.45
Rotation rate $\omega$ [ $\omega_{\rm J}$ ]	0.12	0.34
Core density $\rho_{\rm c}$ [ $\rho_{\rm c, J}$ ]	0.24	0.78
Relative core radius $r_{\rm c}/R$ (6)	0.54	0.86
Relative core radius $r_{\rm c}/R$ (8)	0.34	0.79
$\mathcal{M}$ [ $\mathcal{M}_{\rm J}$ ] (for tidal locking)	0.005 ...0.10	0.40 ...0.84
$\mathcal{M}$ [ $\mathcal{M}_{\rm J}$ ] (for fast rotation)	0.042 ...0.30	1.1 ...1.7

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