The universal finite-N N-5 scaling-law conjecture

Let $N$ be the number of rotor directions and let $K$ denote the number of distinct one-dimensional solution branches. The numerical exhaustion method and solver resolution are the methods used to isolate these branches. The universal N-5 scaling-law conjecture. While $K=N-5$ was definitively observed for $N\in\{6,7,8,9,10\}$, we conjecture that this law holds for all finite $N$. For $N>10$, failure to strictly isolate $K$ branches is attributed to the resolution limit of the numerical methods and solver, rather than to a breakdown of the underlying algebraic structure. This extends the observed empirical relation beyond the tested range, but no proof or higher-precision symbolic verification is supplied.