Table 3.

Stationary points of the upper dispersion surface for $1/3<\tilde{\alpha }<\sqrt{7/27}$.

point	$({\tilde{k}}_1,{\tilde{k}}_2)$	${\tilde{\omega }}_2$	type
A	$(\pi ,{\displaystyle \frac{\pi }{\sqrt{3}}})$	$\sqrt{{\displaystyle \frac{6}{2-\sqrt{1+3{\tilde{\alpha }}^2}}}}$	maximum
D	$({\displaystyle \frac{4\pi }{3}},0)$	$\sqrt{{\displaystyle \frac{9}{2(1-\tilde{\alpha })}}}$	maximum
F	$(2\pi -\arccos [{\displaystyle \frac{-1-27{\tilde{\alpha }}^2}{8}}],\sqrt{3}\arccos [{\displaystyle \frac{-1-27{\tilde{\alpha }}^2}{8}}]-{\displaystyle \frac{2\pi }{\sqrt{3}}})$	${\displaystyle \frac{9\sqrt{1+3{\tilde{\alpha }}^2}}{4}}$	saddle point