Kinematic maps for DELS J0411–0907 (top) and VDES J0020–3653 (bottom), after the subtraction of the quasar emission using the BLR subtraction technique. The top panels show the flux of the narrow component of the [O III] λ5007, Hβ, and Hα lines (GN), as fit by a Gaussian. The [O III] λ4959 line is not shown as it was constrained to have an amplitude three times fainter than that of [O III] λ5007. The bottom left panel shows the flux of the broader GB component of the [O III] λ5007 line, a second Gaussian with a larger σ. The lower middle and right panels show our kinematic maps, showing the non-parametric central velocity of the line (v₅₀; middle) and the line width (w₈₀; right). As these are non-parametric, this combines both the GN and GB components. We describe our method for creating these maps in Section 2.3.4. The black ellipses in the lower middle panels depict the regions as in Figures 5 and 7.