Matrices and Determinants

Let $$S$$ denote the set of all real values of $$\lambda$$ such that the system of equations $$\lambda x+y+z=1$$ $$x+\lambda y+z=1$$ $$x+y+\lambda z=1$$ is inconsistent, then \sum_\limits{\lambda \in S}\left(|\lambda|^{2}+|\lambda|\right) is equal to