Neutrino spectra displaying the effect of the proton distribution post-break slope s_p for the NGC 1068 case– see Appendix A. Red and blue refer to s_p = 2 and 3 respectively. Solid lines include π and μ cooling while dashed lines neglect it. The solid and dashed vertical lines show the position of the cooling break for each species according to Eq. A.1. The dotted line refers to the neutrino energy produced by the most energetic protons of the distribution.