Notes. We form a χ² for the three measured modes of β, using the mean and covariance matrix measured for simulations either with or without velocity effects. The covariance matrices are very similar in both cases, and so the difference between these two cases is only the mean-field subtraction. The “PTE” columns give the corresponding probability-to-exceed values for a χ² distribution with three degrees of freedom. The measured χ² values are extremely unlikely under the “no velocity” hypothesis, but very compatible for the “with velocity” case.