Correlation between the posterior density of Ω_E (right) and Ω_I (top) for KIC 006116048 before the application of a prior (in grayscale). From the posteriors themselves it is clear that the two parameters are poorly constrained, with a standard deviation of several μHz in both cases. The two parameters are, however, strongly anti-correlated. In the center frame the dashed black line indicates Ω_E = Ω_I. Dashed red denotes the median of the Ω_S probability density function, and the shaded bar corresponds to the 68% confidence interval. The full distribution of Ω_S is shown in the right panel, which is used as a prior to constrain Ω_E.