and $N=168$.[]{data-label="figb112_168"}](112_168.EPS){width="1.2\linewidth" height="3.2in"}

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![The same as in \[figb103\_149\] but for $Z=119$ and $N=178$.[]{data-label="figb119_178"}](119_178.EPS){width="1.2\linewidth" height="3.2in"}

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The nucleus $Z=119$, $N=178$ is spherical in its g.s. - Fig. \[figb119\_178\]. There is a secondary oblate minimum (whose depth is underestimated in the map due to omission of nonaxial $\lambda=4, 6$ deformations). There is a low triaxial second saddle at $\beta_{20}\approx 0.5$ and two “first saddles” with different triaxiality, of which the one with a larger $\gamma$ is the fission saddle.

Still another type of PES, typical of nuclei with the superdeformed oblate g.s., is presented in Fig.\[figb4\] in the subsection C.

Role of the mass asymmetry
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To study the effect of the reflection (mass) - asymmetry on the fission barriers, a two-step procedure has been performed. At the first stage, we have checked the stability of all the saddles found on the basic 5D mesh (the first, the second, ..., axially symmetric or triaxial, of energy within 0.5 MeV of the highest saddle) against the mass-asymmetry. This was done by a 3D energy minimization with respect to $\beta_{30}$, $\beta_{50}$ and $\beta_{70}$ around each saddle. Since most of the saddles are non-axial, the most general version of our Woods-Saxon code had to 