The strong Atiyah–Sutcliffe conjecture

Let $D\colon\operatorname{Conf}_n(\mathbb{R}^3)\to\mathbb{C}$ be the normalized determinant associated with the complex lines constructed from a configuration of points. Atiyah–Sutcliffe's strong conjecture. For every configuration $(p_1,\dots,p_n)$,

$$|D(p_1,\dots,p_n)|\geq1.$$

This stronger inequality implies the weak conjecture, since it implies $D(p_1,\dots,p_n)\neq0$. Numerical evidence supports it, and it is known for $n\leq4$ and for configurations of some special types, but it remains open in general.