resulting from the minimization amounts to 0.44 MeV, which, just in this case, is quite similar to 0.46 MeV obtained from the IWF technique; however, in Z=113 and N=163 one obtains $\approx 0.5$ MeV difference between saddles obtained by both methods. In this particular nucleus, the $\approx 0.77$ MeV barrier lowering by the mass-asymmetry is the largest among all studied nuclei. It should be also noted that for the isotopes of Z = 113 the effect of the mass-asymmetry is particularly large, see the the top panel in Fig. \[oct\].

In the bottom panel of Fig. \[oct\], we show the difference between the results of the both methods - the minimization - (MIN) and “Imaginary Water Flow” - (IWF). One can see that this difference increases with the neutron number. In particular, there is practically no effect derived from the mass-asymmetry in $^{281}113$ when IWF is used. On the contrary, the approach based on minimization suggests still a quite substantial (spurious) effect (0.55 MeV). One might notice that our conclusion concerning decoupling of the variables describing the axial and reflection asymmetries is in a delicate contradiction with the studies [@Lu].

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& N & IWF & MIN & N & 