  Let $[Z]\in\text{Hilb}^d \mathbb A^3$ be a zero-dimensional subscheme of the
affine three-dimensional complex space of length $d>0$. Okounkov and
Pandharipande have conjectured that the dimension of the tangent space of
$\text{Hilb}^d \mathbb A^3$ at $[Z]$ and $d$ have the same parity. The
conjecture was proven by Maulik, Nekrasov, Okounkov and Pandharipande for
points $[Z]$ defined by monomial ideals and very recently by Ramkumar and
Sammartano for homogeneous ideals. In this paper we exhibit a family of
zero-dimensional schemes in $\text{Hilb}^{12} \mathbb A^3$, which disproves the
conjecture in the general non-homogeneous case.
