Table 4: Comparison between the observed periods of PG 1707+427 (taken from Kawaler et al. 2004) and the theoretical ( $\ell = 1$ ) periods of the best-fit model ( $\overline {\delta \Pi }= 2.31$ s, $\sigma _{\delta \Pi }= 2.70$ s).
$\Pi_i^{\rm O}$ $\Pi_k^{\rm T}$ k $\delta \Pi_i$ $\delta \Pi_i/ \Pi_i$

[s] [s] [s] $[\%]$

334.62 332.14 12 2.48 0.74

- 352.76 13 - -

- 377.17 14 - -

- 399.73 15 - -

- 420.53 16 - -

448.07 445.72 17 2.35 0.52

- 467.50 18 - -

494.39 489.62 19 4.77 0.96

- 514.23 20 - -

536.41 535.84 21 0.57 0.11

- 559.94 22 - -

- 581.88 23 - -

- 606.38 24 - -

- 628.83 25 - -

- 651.41 26 - -

677.89 677.48 27 0.41 0.06

- 697.36 28 - -

726.02 723.05 29 2.97 0.41

745.78 747.18 30 - 1.4 -0.19

- 769.01 31 - -

- 792.73 32 - -

- 818.54 33 - -

- 841.27 34 - -

- 862.57 35 - -

- 890.30 36 - -

909.05 912.62 37 -3.57 -0.39

**Table 4:** Comparison between the observed periods of PG 1707+427 (taken from Kawaler et al. 2004) and the theoretical ( $\ell = 1$ ) periods of the best-fit model ( $\overline {\delta \Pi }= 2.31$ s, $\sigma _{\delta \Pi }= 2.70$ s).
$\Pi_i^{\rm O}$	$\Pi_k^{\rm T}$	k	$\delta \Pi_i$	$\delta \Pi_i/ \Pi_i$
[s]	[s]		[s]	$[\%]$
334.62	332.14	12	2.48	0.74
-	352.76	13	-	-
-	377.17	14	-	-
-	399.73	15	-	-
-	420.53	16	-	-
448.07	445.72	17	2.35	0.52
-	467.50	18	-	-
494.39	489.62	19	4.77	0.96
-	514.23	20	-	-
536.41	535.84	21	0.57	0.11
-	559.94	22	-	-
-	581.88	23	-	-
-	606.38	24	-	-
-	628.83	25	-	-
-	651.41	26	-	-
677.89	677.48	27	0.41	0.06
-	697.36	28	-	-
726.02	723.05	29	2.97	0.41
745.78	747.18	30	- 1.4	-0.19
-	769.01	31	-	-
-	792.73	32	-	-
-	818.54	33	-	-
-	841.27	34	-	-
-	862.57	35	-	-
-	890.30	36	-	-
909.05	912.62	37	-3.57	-0.39

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