v20.0: Cluster Analysis — The Residue 6 Double-Load

Executive Summary

v19.0 discovered that the 8-symbol system {3, 4, 7, 55, 100, 111, 124, 127} covers all 7 modulo-7 residues. But the distribution is uneven: residue 6 has two symbols (55 and 111) while all other residues have exactly one.

This report investigates why and what it tells us about the sy