each panel shows the ratio of the event rates with and without shock. We calculate for the four cases of the mixing angles: sin $^{2}$2 θ$_{13}$ = 10 − 2 (red), 10 − 3 (green), 10 − 4 (blue) and 10 − 5 (purple). In the case of normal hierarchy (left panel of Figure 6), the event rate of ν$_{e}$ of each parameter is not separated clearly from one another. The event rate is commonly about 70 at t = 0 s and decreases to about 3 at t = 10 s. On the other hand, the ratio of the event rates of ν$_{e}$ with and without shock shows some different θ$_{13}$ dependence (left lower panel of Figure 6). After 2 s, we can see slight enhancement of this ratio. We find from this change that the shock front does not reach H-resonance before ∼ 2 s. Once the shock wave reaches H-resonance region the event rate increases from the low-energy neutrinos because of energy dependence of the resonance density Eq. (6). This ratio then decreases after 3 s because the event rate of the high-energy neutrinos decreases when the shock wave propagates through the resonance. The obtained time profile thus depends on the θ$_{13}$ values. The effect of shock propagation appears most clearly in the case of sin $^{2}$2 θ$_{13}$ = 10 − 3 (green). However, the decrease in the ratio of the event rates is by at most 15 % in the case of small θ$_{13}$ . It is smaller than the case for sin $^{2}$2 θ$_{13}$ = 10 − 3 at any time for the other θ$_{13}$ values. In the case of the inverted mass hierarchy (right panel of Figure 6), the time variation of the event rate of ν$_{e}$ does not depend on θ$_{13}$ . Shock wave effect is not clearly seen (lower part of right panel of Figure 6). The adiabaticity of ν$_{e}$ is not influenced by the shock wave because ν$_{e}$ is not related to H-resonance in the case of inverted hierarchy. Therefore, the spectra of ν$_{e}$ do not change for any values of θ$_{13}$ . Figure 7 is the same as Figure 6, but for ¯ ν$_{e}$ . In the case of the normal hierarchy (left panel of Figure 7), the event rate and the shock wave effect of ¯ ν$_{e}$ are insensitive to θ$_{13}$ throughout the time profile, and event rate decreases from about 3,200 at t = 0 s to about 100 at t = 10 s. This is attributed to the fact that the adiabaticity of ¯ ν$_{e}$ is not influenced by θ$_{13}$ or the shock wave as discussed in the previous section. In the case of the inverted hierarchy (right panel of Figure 7), the behavior of event rate of ¯ ν$_{e}$ is different from ν$_{e}$ in normal hierarchy. At t = 0 s, the event rate is about 4,200 for sin $^{2}$2 θ$_{13}$ = 10 − 2 and 10 − $^{3}$, and it is about 3,200 − 3,500 for sin $^{2}$2 θ$_{13}$ = 10 − 5 − 10 − $^{4}$. The event rate for large θ$_{13}$ (i.e. sin $^{2}$2 θ$_{13}$ = 10 − 2 and 10 − $^{3}$) is larger than that for small θ$_{13}$ (i.e. sin $^{2}$2 θ$_{13}$ = 10 − 4 and 10 − $^{5}$). When H-resonance is adiabatic, almost all ¯ ν$_{e}$ are completely converted from ¯ ν$_{x}$ . On the other hand, when H-resonance is non-adiabatic, some ¯ ν$_{e}$ remain 14