Derived p-values for the angular correlation of TT and EE dipole directions in Commander maps as a function of ℓ_max, determined using the HM split with the full-mission common mask (black), the HM split with the HM common mask (green), the OE map with the full-mission common mask (red), and the OE map with the OE common mask (blue), based on FFP10 simulations. The magenta line shows the corresponding correlation between TE and EE directions for the Commander HM split with the common mask. The p-values are based on the fraction of simulations with a higher RS, determined over the ℓ range up to the given ℓ_max, compared to the data, hence small p-values would correspond to anomalously aligned dipole directions. The results shown here have been marginalized over bin sizes in the range Δℓ = 8 to Δℓ = 32.