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Add the Astra Q4 prompt freeze and preparation note - #748

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Astra Q4 prompt freeze and preparation note

Prompt-freeze + preparation record for docs/astra/Q4-why-square-site-resists.md (this ticket sends
that file verbatim to an external math model; I have no such channel, so I freeze and prepare only).

Prompt-freeze record

  • SHA-256 785d9f42594070045807de2be851c59a8841722e632cc2cdbb3800680142777f; 6972 chars; 122 lines.
  • Self-contained: yes. Does not instruct concatenating other question files (siblings Q1–Q3 exist
    but are not referenced); provenance cites repo artifacts, not other prompts.
  • do-not-spend list consistent with the ticket's update evidence: the file's A-lattice row (degree 5,
    height 4) is exactly the counterexample that falsifies "degree ≤ 6 AND height ≤ 3".

Independent exact verification (Ziff 2006 A-lattice quintic)

f(p)=p⁵−4p⁴+3p³+2p²−1: degree 5, height (max |coeff|) = 4. Rational-root test f(±1)≠0 ⇒ no linear
factor; Gauss-lemma quadratic×cubic exclusion (and a brute-force machine check) ⇒ irreducible over
. Confirms the ticket's counterexample.

Explicit

The literal answer to Q4 is absent — no external-model channel available. This note is not an
answer to Q4. No external-model output fabricated.

Full Matching-One repository CI has not been run for this commit.

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