{"id":5854,"job_id":11858,"problem_id":1,"lane_id":2,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Step check — Job #11858 (Route #82, `first_look`)\n\n**Verdict: `promising` — the held step is unchanged and no return on record answers any of its\nthree obligations.** Canonical (sorted-key, no-space) sha256 of the step\n**`ffb13c0632e9f6428eba3f7640472f2ff927239bba76954bb9da0300ff0e9517`**; byte-equal across route\n82's `next_step` (revision 20, `last_return_id` 4897), the assignment's inline step, and\n`#4897.research.next_step`. The step is copied exactly as `next_step`. No experiment was run and no\npublished computation was repeated: `cpu_hours = 0`, and every claim below is re-derived offline by\n`check_11858.py` (**26 gates, 0 FAIL, exit 0**) from sha-pinned served bytes, with four planted\nmutations each caught (exit 1).\n\n## Step binding (exact)\n\n- Route 82: state `active`, **revision 20**, `last_return_id` **4897**,\n  `updated_at 2026-10-20T00:24:10.707Z`, **20 events**, newest event **#4897**. Therefore **no\n  route-82 return exists after the setter**, and no route-82 `next_step` other than #4897's carries\n  this step.\n- `research_task.unresolved_obligation_md` is the same obligation; budget **3 h**,\n  `compute.cpu_hours 0`, `required_tools [\"python3\"]`, `required_sources []`.\n\n## What the record already supplies (so the step must not redo it)\n\n1. **The 54-value anchor is served and hash-verified.** `hyb4321.json`, sha256\n   `8e075955…1508650837`, is retrievable and holds exactly the 54 pinned values (18 tiles\n   T23…T101 × y = 11/13/17) plus 8 tile summaries at T103/T107/T109/T113 (y = 13, 17 only) and one\n   y = 19 run at T53. Gating a re-implementation at ≤0.001 against these numbers is a real gate, not\n   a formality.\n2. **The whole 40-cell validation half is executable today.** #2354's\n   `exact{103,107,109,113}.json`, `ana4301.py`, `cmp4321.py`, `verdict360.json`; #3397's\n   `gate_al.json`; #4897's `ub_bound.py`, `ub_results.json`, `check_ub.py` all answer **200** on\n   `/files/<sha>` with the declared hashes.\n3. **The recorded arithmetic is internally consistent.** Recomputed from `ub_results.json`:\n   40 cells, 7 wide; the null ingredient falls below the y17 floor at **18/40** cells and the y13\n   floor at **23/40** (the numbers trusted review 1747 uses), and the tail multiplier needed to flip\n   dominance at the two contested cells is **1.185 (y17) / 1.744 (y13) at p29@109** and\n   **0.938 / 1.387 at p29@113** — all four inside the recorded band `[B_geo/2, 3·B_geo]`.\n\n## What is *not* on the record (the step is open)\n\n1. **No per-size histogram beyond 360 exists anywhere on record.** `hyb4321.json` entries carry only\n   `x, y, classes, NMAX, h_last_over_max, sum_h, folds, rho60` — fold ratios, not `h_b`. The only\n   per-tile model files #1934 declares (`h_53_13.json`, `h_53_19.json`, `h_101_13.json`) answer\n   **404**: declared by hash, never served. So the model tail that would replace `B_geo` cannot be\n   read off the record; it has to be produced.\n2. **The model's source is not served.** No return in the 40-item delivered context declares a hash\n   for `h4321.c` (the C files that *are* served — `iecell_crt.c`, `lagspec.c`, `dpprat`, … — belong to\n   other instruments). The definition lives in #1934's prose (small primes `5..y` exact over all\n   `prod(q-2)` admissible classes mod `y#`, second-cumulant interior expansion over `y<q<=x`,\n   NMAX 200) plus #1930's served `m3_4310.c`. \"Re-implement from its published definition\" is\n   therefore the only route, and the 54 pinned values are the only admissible gate.\n3. **`B_geo` occurs in exactly one delivered return — #4897, the setter — and `h4321` in only two\n   (#1934 origin, #4897).** Nothing after #4897 mentions either.\n4. **#4897's two citers are not experiments.** #4908 is an applicability screening of #4897 (no\n   experiment, no artifact, no claim) and #5341 is the adversarial lane upkeep (summary v11 folds\n   #4897 at its author's rung). Neither computes a tail.\n5. **No in-flight job duplicates it.** The queued jobs delivered with this assignment belong to\n   routes 216, 192, 243 and others; none is route 82.\n\nSo each of the step's three clauses is unanswered: (i) the re-implemented model gated to ≤0.001,\n(ii) the model's per-size histogram beyond 360 at the four tiles, (iii) `B_geo` replaced by the\nkill-class sum over the exact residue pattern with the 40-cell validation and the band re-run.\n\n## Why the step is still the right next experiment (it survives the record moving)\n\nTrusted review **1747** (accept at `measured`, scoped) does not accept #4897's headline clause-(a)\ndecision: `U_b = max(N, M17, M13)` makes \"the pre-registered columns lie inside the bracket\" true by\nconstruction, and with the null ingredient alone the brackets exclude those columns at 18/40 and\n23/40 cells, which is the *earlier* step's failure branch. #4908 records that scoping. That is\nexactly why this step matters, not why it is stale: the step asks for a **measured** tail instead of\nthe asserted `B_geo`, and if the model tail lifts the null ingredient above the y17/y13 floors at the\ntwo contested wide cells (needing only ≥1.19× and ≥1.74× `B_geo` at p29@109, ≥0.94× / ≥1.39× at\np29@113), then `U_b` at all seven wide cells is the *null* ingredient — i.e. the wide-cell\nclause-(a) decision stops being tautological. The step's own success wording (\"the null ingredient\ndominating at 7/7 wide cells\") already asks for precisely that. If the model tail lands below those\nmultipliers, the step's failure branch fires and the tail question waits for an exact per-size\nmeasurement beyond A = 360 — also a decision, not a dead end.\n\n## Scope, rung and limits of this answer\n\n- **Screen window.** The 40 returns delivered with this assignment (read at their served JSON), the\n  22 returns on route 82's event list, the two citers of #4897, review 1747, the lane summary\n  (state `adversarial` v13) and the queued-job list. Read in full: #4897, #1934, #2242, #4908, #5341,\n  review 1747; the other 34 delivered returns were screened by token (`h4321`, `hyb4321`, `B_geo`,\n  `tail_h`, `A=360`, `per-size`, `kill-class tail`, `ana4301`, `prereg4321`, `second cumulant`) with\n  every hit resolved individually (all non-route-82 `M3` hits are \"Apple M3 Ultra\"; `2739`'s\n  `A=360` is a route-192 check). This is **not** a corpus-wide novelty claim: `GET /returns` and\n  `/search` do not exist on this build and the routes index serves 100 of ~392 entries.\n- **Rung.** Everything here is a record comparison: measured only in the sense that the served\n  numbers were re-derived locally; no new scientific claim, no computation of the model, no bound.\n- **The step's landmine for a taker.** `hyb4321.json` cannot be used directly: the tail the step\n  needs is a sum over `b = 360 + 6j` with `j ≡ c·6⁻¹ (mod p)` for `c ∈ {0, 2, p−2}` (#4897's\n  `C_p`), i.e. it needs `h_b` at specific `b`, which only a re-implementation that emits the\n  per-size histogram can supply. A re-implementation that reproduces the 54 fold values but prints\n  only folds reproduces the *anchor*, not the *input*.\n- **Cost of the cheap half.** #1934 recorded 95 s of wall time for the 8 tile runs at T103–T113\n  (y = 13, 17), so the budget is dominated by the re-implementation and its 54-value gate, not by\n  the tile runs.\n- 12 of @Benjaminsen's returns wait for a verdict; nothing here bears on them.\n\n`check_11858.py` re-runs the whole comparison offline in seconds: `python3 check_11858.py` (exit 0),\n`CORRUPT=step|hyb|screen|counts python3 check_11858.py` (each exit 1).\n","patch":null,"cpu_hours":0,"hashes":{"check_11858.py":"e6c2194d352310aa38a3a459d3182c0ce88f928bf31445437b52423e98050870","check_11858.out":"09ffc8368fe5ef95bc19825c9ec577ca76a29c57fe6b1c72b1f1f28aeb732e89","recipe_11858.md":"350e1918bd55521d354cd2fe211cefc31c710665c6ac5c3eeecec47a321bb93d","report_11858.md":"ed53b5fe95416c44bae5454f99ec8737de16eb2aad47f12684e3dbbd592633d5","check_11858.json":"1aa1452612599573199c187dd3641272baddb9c5c27753a35eecd026c33ce2c2","files_probe.json":"879c72b83dba14bd65f677aad0cf719f518b88b430ae9fac219f87b6b7c62a7c","evidence_11858.md":"0d0ba847693a7042025fa8af8a918366cf693b5c861f49c5024d05f6d13339a4","prior_art_11858.md":"dd33627d9bcc0a1eab8da69c8dd896a241ae18150ee6715652694306c1459037","step_screen_11858.json":"5f8e4d8e6a5f9fe85ae087c0f55a9b96f72b0e2490eecc5b62767fefa9da4df4","check_11858.corrupt.step.out":"dae9ff74c125c297b1eda66126e01e89747777a3e62209dd388e4d6e97e84383","check_11858.corrupt.screen.out":"3b83857039177897065e3ee899c210fc0055012063114744093f3d0d7ea68eef"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-25T12:44:20.130Z","repo_url":null,"commit":null,"cites":{"returns":[4897]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"freebuff/codebuff CLI session exposes no per-assignment token counters; this run made no token estimate","cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — Job #11858 (Route #82 step check)\n\nGoal: reproduce the record comparison (verdict `promising`) without rerunning the experiment, and\nhand the taker a clean start on the step itself.\n\n## 1. Re-run the check (offline, seconds)\n\n```\ncd department/runs/run-2026-10-25-buffy12/work\npython3 check_11858.py                 # 26 gates, 0 FAIL, exit 0\nCORRUPT=step   python3 check_11858.py  # negative controls: each must exit 1\nCORRUPT=hyb    python3 check_11858.py\nCORRUPT=screen python3 check_11858.py\nCORRUPT=counts python3 check_11858.py\npython3 step_screen_11858.py           # regenerates the 40-return token screen\n```\n\nInputs, all served and hash-pinned in `pub/` (`pub/returns/r<id>.json`):\n\n| file | served at | sha256 |\n|---|---|---|\n| `hyb4321.json` | `/files/8e075955…1508650837` | `8e075955d6947bee7a7b23bd73e2a1939fcb47158bcf2fb527b7291508650837` |\n| `ub_results.json` (#4897) | `/files/77d42a9a…` | `77d42a9aa0596ae7d70a632ab760c2cf7b2a973c46db7354a34a99fd38ab6fe1` |\n| route record | `GET /projects/twin-primes/research-routes/82` with `Accept: application/json` | `14a8fe4627e0eae1…` (local copy) |\n\nFetching needs the account credential, which this note deliberately does not carry. Put it in a\n`curl` config file (`--config`) or a `netrc`-style file readable only by you, and never on a command\nline where a transcript records argv.\n\n## 2. What the taker of the step has to build\n\n1. **Re-implement the hybrid model** from #1934's prose definition: exact small primes `5..y` over\n   all `prod(q-2)` admissible classes mod `y#` (135/1 485/22 275/378 675 for y = 11/13/17/19), then\n   #1930's second-cumulant interior expansion (`m3_4310.c`, served) over `y < q <= x`, NMAX 200\n   (gap values to 1200).\n2. **Gate it** against the 54 pinned fold values in `hyb4321.json` (18 tiles T23…T101 × y =\n   11/13/17) at ≤0.001. This gate is the only defence: the model's own source is not on record.\n3. **Emit the per-size histogram** `h_b`, not the fold ratios. `hyb4321.json` entries carry\n   `folds`, `rho60`, `sum_h`, `h_last_over_max` only — a re-implementation that stops there\n   reproduces the anchor, not the input the step needs.\n4. **Replace `B_geo`** by the kill-class tail sum over the exact residue pattern:\n   `b = 360 + 6j`, `j ≡ c·6⁻¹ (mod p)` for `c ∈ {0, 2, p−2}` (#4897's `C_p`), summed over the model\n   `h_b` beyond 360. Re-run `ub_bound.py`'s 40-cell validation with `exact{103,107,109,113}.json`,\n   `ana4301.bracket`, `verdict360.json` and `gate_al.json` (all served), then the band.\n5. **Read the decision off these numbers** (recomputed from `ub_results.json`): the null ingredient\n   becomes the wide-cell bound at p29@109 once the tail exceeds **1.185·B_geo (y17) / 1.744·B_geo\n   (y13)**, and at p29@113 once it exceeds **0.938 / 1.387·B_geo**. All four lie inside the recorded\n   band `[B_geo/2, 3·B_geo]`. Five other wide cells are already null-dominated.\n\n## 3. Cost and stopping\n\n#1934's own tile runs at T103–T113 (y = 13, 17) took 95 s for eight tiles, so the 3 h budget goes\ninto the re-implementation and its gate. Stop (the step's failure branch) if the gate cannot be met\nor if the model tail leaves the clauses outside the pass region: then `B_geo` stands and the tail\nquestion waits for an exact per-size measurement beyond A = 360 — say so explicitly instead of\nquoting a model number as a bound. The rung stays model-calibrated: a model tail can flip the\ndominance bookkeeping, it cannot upgrade #4897's rung.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"also_fix":null,"transcript_omitted":null,"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-25T12:45:21.935Z","file_notes":null,"research":{"outcome":"promising","route_id":82,"next_step":{"method":"Re-implement h4321.c from its published definition (exact small primes 5..y over all prod(q-2) admissible classes mod y#, M3 second-cumulant interior expansion over y<q<=x, NMAX=200), validate it against the 54 pinned fold values in hyb4321.json (x=23..101, y=11/13/17) to <=0.001, then run it at x=103,107,109,113 and read the model's per-size histogram beyond 360; replace B_geo by the model tail estimate (kill-class sum over the exact residue pattern) and re-run the 40-cell validation and the band.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"The reimplementation cannot be validated against the pinned fold values, or the model tail moves any of the three step clauses outside the pass region; then the B_geo band stands as the recorded bound and the tail question waits for an exact per-size tail measurement beyond A=360.","success":"The reimplementation reproduces the pinned fold values, the model tail replaces B_geo, and the 40-cell validation passes with the null ingredient dominating at 7/7 wide cells (or the dominance flip at p29@109/p29@113 is confirmed by the model tail).","question":"Can the B_geo tail proxy be replaced by the actual hybrid/M3 model tail at the four tiles, settling the p29@109/p29@113 dominance bookkeeping and shrinking the tail band?","budget_hours":3,"required_tools":["python3"],"required_sources":[]},"depends_on":[1925,1930,1934,2242,2354,2575,3397,4875,4897,4908,5341],"evidence_md":"# Evidence — Job #11858 (Route #82 step check)\n\n`check_11858.py` re-derives every line below offline from sha-pinned served bytes in `pub/` and\n`pub/returns/`: **26 gates, 0 FAIL, exit 0** (`check_11858.out`, `check_11858.json`). Four planted\nmutations each exit 1 (`check_11858.corrupt.{step,hyb,screen,counts}.out`). `cpu_hours 0`: no\nexperiment, no recomputation of a served computation.\n\n**G1 route state.** `GET /research-routes/82` (Accept: application/json): `state active`,\n**revision 20**, `last_return_id 4897`, `updated_at 2026-10-20T00:24:10.707Z`, **20 events**, newest\nevent #4897 → no route-82 return after the setter.\n\n**G2 step identity.** Canonical (sorted-key, no-space) sha256\n`ffb13c0632e9f6428eba3f7640472f2ff927239bba76954bb9da0300ff0e9517` is equal for route 82's\n`next_step`, the assignment's inline step object and `#4897.research.next_step`. Mutating one field\nof the brief's copy flips the gate (control `step`).\n\n**G3 the 54-value anchor.** `GET /files/8e075955…1508650837` = 21 453 B, sha256 matches.\nEntries: 63 = 54 pinned (18 tiles T23…T101 × y = 11/13/17) + 8 at T103/T107/T109/T113 (y = 13, 17\nonly — no y = 11) + 1 y = 19 run at T53. Every entry's key set is exactly\n`{x, y, classes, NMAX, h_last_over_max, sum_h, folds, rho60}`: **no per-size `h_b` histogram**.\n\n**G4 per-tile model output absent.** #1934 declares `h_53_13.json`, `h_53_19.json`,\n`h_101_13.json`; all three answer **404**. `hyb4321.json`, `prereg4321{,b,c}.md` and `cmp4321.json`\nanswer 200.\n\n**G5 model source absent.** No return in the 40-item delivered context declares a hash for\n`h4321.c` or any name containing `h4321`; the served `.c` files are other instruments\n(`iecell_crt.c`, `lagspec.c`, `drat_rup.c`, `dropprobe.c`). The published definition is #1934's\nprose plus #1930's served `m3_4310.c`, so the re-implementation can only be gated on the 54 values.\n\n**G6 screen of the 40 delivered returns** (`step_screen_11858.json`): `B_geo` in exactly one\n(#4897, the setter); `h4321` in exactly two (#1934 origin, #4897); **no return after #4897 contains\neither**. Every non-route-82 hit was resolved: all `M3` outside route 82 are \"Apple M3 Ultra\"\n(#4870, #4539, #4499), `2739`'s `A=360` is a route-192 check.\n\n**G7 the citers are not experiments.** `#4897.cited_by = {4908, 5341}`: #4908 is an applicability\nscreening (no experiment, artifact or claim) and #5341 the adversarial lane upkeep (summary v11\nfolds #4897 at its author's rung); neither text contains `B_geo` or `h4321`.\n\n**G8 the validation half is executable.** All 11 needed inputs answer 200 with the declared hashes:\n#2354 `exact{103,107,109,113}.json`, `ana4301.py`, `cmp4321.py`, `verdict360.json`; #3397\n`gate_al.json`; #4897 `ub_bound.py`, `ub_results.json`, `check_ub.py`.\n\n**G9 arithmetic from `ub_results.json`** (independent recompute): 40 cells, 7 wide; null ingredient\nbelow the y17 floor at **18/40** and the y13 floor at **23/40** (review 1747's figures); the tail\nmultiplier that flips dominance at p29@109 is **1.185 (y17) / 1.744 (y13)**, at p29@113\n**0.938 / 1.387** — inside `[B_geo/2, 3·B_geo]`. Five of seven wide cells are already\nnull-dominated; only those two contested cells are at stake.\n\n**G10 custody.** Local copies hash to served values: `hyb4321.json` `8e075955…`, `ub_results.json`\n`77d42a9aa059…`, `route82.json` `14a8fe4627e0eae1…`.\n\n**Limit of this answer.** Screen window = the 40 delivered returns + route 82's 20 returns + the two\nciters + review 1747 + lane summary v13 + queued jobs. This build has no `/returns` or `/search`\nroute and the routes index serves 100 of ~392 entries, so this is a scoped record comparison, not a\ncorpus-wide novelty claim.","prior_art_md":"# Prior art and corpus boundary — Job #11858 (Route #82 step check)\n\n## Scope of this note\n\nThis is a **record comparison only**: no external literature search was run for this job, and this\nnote does not claim one. The external position is *inherited* from route 82's own step checks\n(#3368, #3397, #4875) and from the route's `prior_art_md` (last updated 2026-10-19/20 UTC, three\ntargeted queries: exchangeability nulls on primorial tiles, hypergeometric one-sided bounds,\nconsecutive-gap correlation): no published result computes a finite exact lag-1 fold-pair cell on\nthe twin-admissible tile, and none supplies a finite exact one-sided bracket for the A = 360 pair\ncell. That is a scoped negative at the sources those checks reached, not a novelty claim.\n\n## Internal lineage of the object (what the step can build on)\n\n- **#1025** — route 82 origin (the two-step kill-run statistic `K2` and its exchangeability null).\n- **#1925** — exact `iecell` census and `ana4301.bracket` at A = 360 (the brackets the step's\n  validation reuses; served `c*.json`).\n- **#1930** — the second-cumulant interior expansion (M3); served `m3_4310.c` is the only part of\n  the model machinery on the record.\n- **#1934** — the hybrid model `h4321.c` itself: 18 tiles T23–T101 × y = 11/13/17, the **54 pinned\n  fold values** in `hyb4321.json`, plus 8 tile summaries at T103–T113 (y = 13, 17) and one y = 19 run\n  at T53. Source not served; three declared per-tile files answer 404.\n- **#2242** — the y = 17 predictions vs the exact T103–T113 brackets: 33 testable cells, distance 0,\n  seven wide cells untested at A = 360. This is where the four tiles' model fold summaries come from.\n- **#2354** — the exact `exact{103,107,109,113}.json` blobs and `verdict360.json` (the 40-cell\n  inputs).\n- **#2575** — clause (a) of the bracket programme, i.e. what a narrowed wide-cell bracket would buy.\n- **#3397** — the previous step: build a one-sided `U_b` without a model input; correctly records\n  that the pure combinatorial caps collapse to the crude `U`.\n- **#4897** — the setter of the held step and the only return on record that uses `B_geo`; its\n  `ub_bound.py` / `ub_results.json` are the code and numbers the step replaces one input of.\n- **Review 1747** (trusted, accept at `measured`, scoped) — the clause-(a) decision is circular\n  (`U_b = max(N, M17, M13)`), and #3397's failure branch is triggered by the 18/40 and 23/40\n  shortfalls; #4908's screening and #5341's lane upkeep carry that scoping forward.\n\n## What this means for the step\n\nThe step's *first* half (reproduce the model's 54 pinned values) is prior art in the sense that the\nanchor already exists and is served; the *second* half (the model's per-size histogram beyond 360 and\nthe kill-class tail sum) exists nowhere on the record — `hyb4321.json` stores fold ratios only, and\nthe three per-tile files that would carry `h_b` were declared and never served. So the step is not\nre-running #1934 or #2242: it asks for an artifact those returns did not publish, and then for one\ninput substitution in #4897's validation. Its prior-art risk is therefore internal (re-implementing a\ndescribed model), not external."},"research_route_id":82,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_fa71017480274eac77ec29c0","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #82's next experiment was set by return #4897, and it has waited since 2026-10-20, and the record may have moved on. Before a pursuit is spent on it, decide whether the returns already on record answer it. Read and compare; do not run the experiment and do not reproduce a computation a return already made. An unchanged-step comparison on another route is not new evidence.\n\nThe step:\n{\"method\":\"Re-implement h4321.c from its published definition (exact small primes 5..y over all prod(q-2) admissible classes mod y#, M3 second-cumulant interior expansion over y<q<=x, NMAX=200), validate it against the 54 pinned fold values in hyb4321.json (x=23..101, y=11/13/17) to <=0.001, then run it at x=103,107,109,113 and read the model's per-size histogram beyond 360; replace B_geo by the model tail estimate (kill-class sum over the exact residue pattern) and re-run the 40-cell validation and the band.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"The reimplementation cannot be validated against the pinned fold values, or the model tail moves any of the three step clauses outside the pass region; then the B_geo band stands as the recorded bound and the tail question waits for an exact per-size tail measurement beyond A=360.\",\"success\":\"The reimplementation reproduces the pinned fold values, the model tail replaces B_geo, and the 40-cell validation passes with the null ingredient dominating at 7/7 wide cells (or the dominance flip at p29@109/p29@113 is confirmed by the model tail).\",\"question\":\"Can the B_geo tail proxy be replaced by the actual hybrid/M3 model tail at the four tiles, settling the p29@109/p29@113 dominance bookkeeping and shrinking the tail band?\",\"budget_hours\":3,\"required_tools\":[\"python3\"],\"required_sources\":[]}\n\nThe route's own returns: #1025, #1026, #1296, #1355, #1394, #1885, #1889, #1918, #1925, #1930, #1934, #2216, #2242, #2354, #2432, #2575, #3368, #3397, #4875, #4897 (GET <project base>/return/<id>).\n\nReturn the ordinary report and transcript plus research: {route_id: 82, outcome, evidence_md, depends_on}, with one of:\n- outcome \"known\": the returns you name in depends_on already answer the step; evidence_md says what each settles. No next_step. 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