**Table 6:** Summary of the seismic inferences for PG 1159-035, PG 2131+066, PG 1707+427 and PG 0122+200 from $\chi ^2$ period fits. The values of the observed mean period spacing were extracted from Table 6 of Kawaler et al. (2004).
Quantity	Model	PG 1159-035	Model	PG 2131+066	Model	PG 1707+427	Model	PG 0122+200
$\overline {\Delta \Pi }$ [s]	21.21	$21.5 \pm 0.1$	20.86	$21.6 \pm 0.4$	23.22	$23.0 \pm 0.3$	20.92	$21.10 \pm 0.4$
$T_{\rm eff}$ [K]	137 620	$140~000 \pm 6000$	94 740	$95~000 \pm 5000$	87 585	$85~000 \pm 4500$	81 810	$80~000 \pm 4000$
$M_*/M_{\odot}$	0.56	$0.54 \pm 0.1$	0.60	$0.55 \pm 0.1$	0.55	$0.54 \pm 0.1$	0.64	$0.54 \pm 0.1$
$\log g$ [cm/s²]	7.31	$7.0 \pm 0.3$	7.71	$7.5 \pm 0.3$	7.59	$7.5 \pm 0.3$	7.89	$7.5 \pm 0.3$
$\log (L_*/L_{\odot})$	2.38	$2.7 \pm 0.4$	1.37	$1.6 \pm 0.3$	1.31	$1.4 \pm 0.3$	0.96	$1.3 \pm 0.3$
$R_*/R_{\odot}$	0.0273	-	0.0179	-	0.02	-	0.015	-
$M_{\rm He}$ $[10^{-3} M_{\odot}]$	4.94	-	5.29	-	4.85	-	5.65	-
distance [pc]	$482 \pm 44$	800^{+ 600 (a)}_{- 400}	716^{+ 185}_-147	681^{+ 170 (b)}_-137	697^{+ 180}_-144	1300^{+ 1000 (a)}_-600

References: ^(a) Werner et al. (1991); ^(b) Reed et al. (2000).

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