[{"type":"thinking","thinking":"Fixed. Now answer the standing question clearly — the last pending decision before the shutdown: which direction next. My recommendation: Track C, task 3.1, with the concrete first steps. Keep it decisive.","signature":""},{"type":"text","text":"Database is now complete and consistent — we can continue exactly where we left off.\n\n**And the answer to the standing question** (what continuation does / which direction): my recommendation is **Track C — task 3.1 (Weil positivity on growing supports)**, for these evidence-based reasons:\n\n1. **It's untouched by all six walls** — the walls only constrain the certificate/moment data class; positivity criteria are a different mathematical object entirely.\n2. **It has a concrete cross-pollination opening nobody has tried** (task 3.4): does the paper's 2/3-simplicity result improve any positivity criterion? The paper is from 2026 — this intersection is unexplored by definition.\n3. **It starts cheap**: a literature check on Yoshida's support record, then a numerical \"positivity horizon\" experiment using our existing 10⁴-zero sandbox (smallest eigenvalue of truncated Weil forms vs. support size) — no new heavy infrastructure.\n4. Track B (spectral) has the highest ceiling but no concrete entry point yet; better started after Track C's quick reconnaissance tells us more.\n\n**First sub-stage if you approve:** Track C setup — (a) web-research the current record for Weil-positivity support range, (b) design E-006 (positivity horizon numerics), (c) log both into the archive.\n\nShall I proceed with Track C, task 3.1?"}]