Luminosity function of Hβ+[O III]λλ4960, 5008 for our two redshift ranges. The GLIMPSE data points give the mean and standard deviation of the LF, while the fits provide the median value as a solid line, and the 16–84 percentile in the shaded area. We added previous studies of the LF using JWST/NIRCam GRISM slitless spectroscopy (Meyer et al. 2024; Matthee et al. 2023; Sun et al. 2023), a JWST/NIRCam medium band survey by Wold et al. (2025) and a former Spitzer study by De Barros et al. (2019). All the JWST surveys specifically study the [O III]λ5007Å, so we converted them to [O III]+Hβ by considering their respective measured R3 factor as well as [O III]λ5008/[O III]λ4960 = 2.98 (Storey & Zeippen 2000). The data can be found in Table C.2 and the parametrisation can be found in Table 1.