 breaking of symmetries.  \[lam0\] Suppose that for every $z\in{\mathcal{Z}}$ either $a(z)+c(z)>0$ or $a(z)+c(z)<0$. Let $z_0,\ z_0\in {\mathcal{Z}}$ be such that $m_0=\beta_0(z_0),\ M_0=\beta_0(z_0)$ and assume that $\widetilde{i^0}(\nabla^0 F(z_0))=\widetilde{i^0}(\nabla^0 F(z_0))=0.$ Suppose that one of the following conditions is satisfied:  0.  There exists $\mu_j\in\sigma(-\Delta,\Omega)$ such that $m_0<\mu_j<M_0$, where ${\mathbb{V}}_{-\Delta}(\mu_j)^K\ominus{\mathbb{V}}_{-\Delta}(\mu_j)^G$ is a nontrivial $N(K)$-representation and for every $\mu_