Magnetic-field structure surrounding the jet. Left to right: Standard- and blowout-jet phases at the same times as in Fig. 1. In each panel the bottom shows a zoom-in of the magnetogram at the respective time. The synthesized EUI 174 Å images integrated over the x- and y-directions are depicted in the vertical slices of each 3D box. The colored lines represent the magnetic-field lines in and around the jet. The white arrows point to field lines in the jet spire that become misaligned during the blowout-jet phase, compared to the more aligned configuration during the standard phase. This indicates the untwisting motions likewise visible in the EUI 174 Å images on the vertical slices of the animation showing the temporal evolution. The animation is available online. See Sect. 3.2.