Parameter maps of the initial neutrino luminosity L _{ν0, 52} and its decay time t _d that separates the non-exploding regime (blue region) from the exploding one (red region) in 1D simulations for the four different progenitors. A horizontal yellow region inbetween (clearly visible for the LC15 progenitor; top left) shows the parameter region in which 1D explosions are obtained when the network calculation is performed.