The Primitive-Square-Incidence Packet Is Faithful for One Split but Not for Multiple Factors
The positive factor triples
have the same first two power sums, 6 and 14. Their connected logarithms
therefore have identical primitive and square grades, 6 and -7, with the
same numerator incidence. Their third connected grades differ:
Their factors and divisors are correspondingly different. Reciprocal reflection preserves the same collision in the opposite chart.
Thus the primitive-square-incidence packet is faithful for one reciprocal
quadratic but not for a multifactor divisor. The connected k>=3 carrier
connection is the next coherence rung required to distinguish global source
packets that coincide after low-current projection.
Research packet:
research/grothendieck/the-primitive-square-incidence-packet-is-faithful-for-one-split-but-not-for-multiple-factors.md
Exact checker:
research/grothendieck/checkers/check_primitive_square_multifactor_collision.py
The checker passes 7/7 exact gates.