Full-band images obtained by integrating the signal of the HSIM output cubes in the spectral band of the IzJ (left and central; 0.81−1.34 μm) and the H + K (right; 1.45−2.40 μm) gratings when considering the lenticular host (i.e. NGC 809) as a galaxy at redshifts 0.76 (left), 1.50 (middle), and 2.30 (right) scaled to 10¹² L_v, ⊙ (top), 10¹¹ L_v, ⊙ (middle), and 10¹⁰ L_v, ⊙ (bottom) as also labelled in each panel. Intensity is in logarithmic scale and normalised to the peak of the brightest case (top left panel). As in Figs. 6 and 7, contours correspond to the average S/N in the rest-frame 5050−5250 Å (black contours are S/Ns of 0.06, 0.1, 0.3, and 0.6; S/N values of 2, 5, 9, 14, and 20 are drawn as blue contours; the purple contour indicates an S/N of 1).