  In this article, we study the topology of real analytic germs $F \colon
(\C^3,0) \to (\C,0)$ given by $F(x,y,z)=\overline{xy}(x^p+y^q)+z^r$ with $p,q,r
\in \N$, $p,q,r \geq 2$ and $(p,q)=1$. Such a germ gives rise to a Milnor
fibration $\frac{F}{\mid F \mid} \colon \Sp^5\setminus L_F \to \Sp^1$. We
describe the link $L_F$ as a Seifert manifold and we show that in many cases
the open-book decomposition of $\Sp^5$ given by the Milnor fibration of $F$
cannot come from the Milnor fibration of a complex singularity in $\C^3$.
