Local V/σ − h₃ diagram for slow rotators separated into core (dashed red line) and core-less (solid blue line). Contours are based on logarithmic number counts starting from 0.25 and 0.5 and then increase with a step of 0.5 until 2.5 for core slow rotators and 1.5 for core-less slow rotators, respectively. Only bins with an uncertainty δh₃ <  0.05 and σ_e >  120 km s⁻¹ are plotted. Straight lines show the slope of the distributions as measured by the ξ₃ parameter (see text for details). The inset histogram shows the distribution of the ξ₃ obtained using the jackknife method, where from the original distributions for core slow rotators and core-less slow rotators one galaxy (in each sub-sample) was randomly removed, and the ξ₃ remeasured. The histograms are notably different, with core-less slow rotators having steeper slopes (ξ₃ <  1). This confirms the robustness of the weak anti-correlation between the V/σ and h₃ distributions of core-less slow rotators.