Euclidean distance degree conjectures for anchored line multiview varieties

For generic arrangements of cameras, let $\mathcal{L}_n^{L,3,3}$, $\mathcal{L}_n^{L,3,2}$, $\mathcal{L}_n^{L^2,3,3}$, $\mathcal{L}_n^{L^2,3,2}$, $\mathcal{L}_n^{L^3,3,3}$, and $\mathcal{L}_n^{L^3,3,2}$ denote the indicated anchored line multiview varieties, and let $\mathrm{EDD}$ denote Euclidean distance degree. Anchored line multiview EDD conjectures.

$$\begin{aligned} \mathrm{EDD}(\mathcal{L}_n^{L,3,3})&=9n^3-12n^2+15n-6 && (n\ge1),\\ \mathrm{EDD}(\mathcal{L}_n^{L,3,2})&=9n^3-21n^2+14n-6 && (n\ge4),\\ \mathrm{EDD}(\mathcal{L}_n^{L^2,3,3})&=9n^2-7n+4 && (n\ge1),\\ \mathrm{EDD}(\mathcal{L}_n^{L^2,3,2})&=9n^2-10n+4 && (n\ge1),\\ \mathrm{EDD}(\mathcal{L}_n^{L^3,3,3})&=6n-2 && (n\ge1),\\ \mathrm{EDD}(\mathcal{L}_n^{L^3,3,2})&=6n-2 && (n\ge1). \end{aligned}$$

The source observes patterns in the constant and leading coefficients, but leaves their further investigation for future work; the formulas themselves are conjectural and numerically motivated.