  Similar to the symplectic cases, there is a family of fourteen orthogonal
hypergeometric groups with a maximally unipotent monodromy (cf. Table 1.1). We
show that two of the fourteen orthogonal hypergeometric groups associated to
the pairs of parameters $(0, 0, 0, 0, 0)$, $(\frac{1}{6}, \frac{1}{6},
\frac{5}{6}, \frac{5}{6}, \frac{1}{2})$; and $(0, 0, 0, 0, 0)$, $(\frac{1}{4},
\frac{1}{4}, \frac{3}{4}, \frac{3}{4}, \frac{1}{2})$ are arithmetic.
  We also give a table (cf. Table 2.1) which lists the quadratic forms
$\mathrm{Q}$ preserved by these fourteen hypergeometric groups, and their two
linearly independent $\mathrm{Q}$- orthogonal isotropic vectors in
$\mathbb{Q}^5$; it shows in particular that the orthogonal groups of these
quadratic forms have $\mathbb{Q}$- rank two.
