research(proximity): add G313 all-rank scale audit

[OxBenji]

Summary

• add G313 exact all-rank window scale audit for coefficient-1 vs coefficient-2 adjacent-rank alignment
• reproduce G300 small window oscillation at p=113,n=8 and G297 small coefficient-anchor mismatch at p=113,n=16
• certify p=111*2^128+1 with Proth witness 5, then verify for n=16 that coefficient 1 is negative and coefficient 2 is positive for every rank r=1..15

Verification

• python scripts/probes/g313_all_rank_window_scale_audit.py
• git diff --check
• python scripts/forbidden_tokens.py

Known pre-existing docs check issue on Windows:

• python scripts/check-docs-integrity.py fails with: CLAUDE.md must be a symlink to AGENTS.md

[shane9coy]

Independent read: G313 exact all-rank window scale audit for
coefficient-1 vs coefficient-2 adjacent-rank alignment. Reproduces
G300 small window oscillation at p=113,n=8 and G297 small
coefficient-anchor mismatch at p=113,n=16, then certifies
p=111*2^128+1 with Proth witness 5 and verifies for n=16 that
coefficient 1 is negative and coefficient 2 is positive for every
rank r=1..15. Two small-field reproductions plus one large-field
sweep with explicit honest-scope (finite audit, not prize
closure). Concur.