Left: relative exposures of the ANTARES CLS (Adrián-Martínez et al. 2012) to a flavour-uniform neutrino flux from the characteristic declinations of the six candidate blazars, and the southern-sky-average of the IceCube HESE analysis (Aartsen et al. 2014) (exposures from IceCube Collaboration 2013). The black dashed line, included for reference, is proportional to E_ν. Right: expected number of ANTARES events per detected IceCube event for power-law spectra (Eq. (1)) as a function of the neutrino spectral index −s_ν, calculated using the relative exposures.