ner_tags: O O O O O O O O O O O O O O O O B-Model I-Model O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Software O O O O O O O O O O O O B-Software O O O O O O O O O B-Software O O B-Model I-Model O O O O O O O O O O O O O O O O O O O O O O O B-Model I-Model O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B-Model I-Model O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
tokens: which fall within of the HRD position of both stars and have equal composition. Fig. 5 Chi-squared distribution of central hydrogen mass fraction for the same models as in Fig. 4 . The models for the primary are indicated by the dark blue points, while the models for the secondary are indicated by the light blue points. So far, we have only taken into account the mean of the observed -mode period spacing, neglecting the effect of rotation and the information that is held in the spacing morphology. In the next step, we therefore calculate the adiabatic frequencies of our models with GYRE and compare their seismic properties to the observations. 3.2. Period spacing with GYRE We calculated the zonal dipole and quadrupole modes with GYRE for the coeval models with the lowest . As we clearly see the effect of rotation in the observed frequency spectrum (see Fig. 1 ), we apply Ledoux splitting to the zonal modes to obtain the theoretical prograde and retrograde modes and the rotational frequencies near the core for both components. We derive and and a negligible difference between the models with exponential and those with step overshooting. For these rotation rates and the co-rotating dipole-mode frequencies we find and . The comparison between the calculated modes of Models 2 and 3 and the observed period spacings is illustrated in Fig. 6 , while Fig. 7 shows the comparison of the -modes. Our main focus lies in comparing the mean period spacing values and the structure of the period spacing pattern, rather than individual frequencies. We find a satisfactory fit for both models and cannot distinguish between exponential or step overshooting. Furthermore, we are able to assign the series (yellow stars in Fig. 1 ) to the primary, as there is a clear overlap with the retrograde sectoral modes of both models, while there is a gap for the models of the secondary. From Eq. ( 3 ), we expect that the ratio of the asymptotic period spacing of the quadrupole modes to the asymptotic period spacing of the dipole modes is . We use the derived to shift the observed quadrupole sectoral modes to their zonal counterparts, and find s and . For the secondary and we find s and . These results support that the series originates in the primary. Fig. 6 Comparison of theoretical (empty symbols) to observed (filled symbols) period spacing for the primary ( top panels ) and the secondary ( bottom panels ). Ledoux splitting has been applied to the theoretical zonal modes to fit the retrograde and prograde modes. The uncertainties of the observed period spacings are smaller than the symbols. The radial orders are indicated near selected modes. Dipole modes of radial order are shown for the primary and for the secondary, while the radial orders of the quadrupole modes are and , respectively. Fig. 7 Comparison of the theoretical zonal -modes (empty symbols) to the observed modes (filled symbols) as a function of degree . Modes of the primary are shown in the top panels and