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6485 bytes, as of the version from 2026-11-10 01:43 (current). Recorded here, not run.
# Build handoff: T702
Built **Elliptic trilogarithm L31 at CM torsion points**,
https://numberdb.org/T702, as a populated private draft. It has not been
published, offered, reviewed or approved. The controller must run the
independent critique and any repair stages before offering it. No independent
argument-review acceptance sidecar was created by this build.
## Policy and proposal
Read numberdb-data family #311 first with `python3 agents/queue.py show 311`.
The authoritative archived skill manifest is
`agents/runs/20261110T013256Z-build-skills/manifest.json`.
Both `skill-local.md` and `skill-live.md` match SHA-256
`886390324dd1971e381a43cf3b46b822ab0bc67d62f31d8481e29ec79556746b`;
the snapshot's canonical file also matches. Read campaign-gate.md and
argument_review.py. `skills-read.json` records both versions and the manifest.
The refreshed catalogue included drafts. The required `already_here` and
`already_asked` checks, three value lookups and tag inspection found no duplicate
of this family. Inspected the live family companions T700 and T701 and the
family coverage-map tables. T700 is published; T701 was offered for review.
The draft links both companions, using the canonical T701 address returned
by the API, and links T83, T145, T175, T176 and T402 at the relevant relations.
No published table was edited, and no second quantity or extra table was built.
## Selection and conventions
494 real values, with 100 significant digits each. The marking and ordered
keys `(Delta,N,r,s)` agree with the family. All thirteen class-number-one
quadratic orders are included, and every exact torsion order 1 through 6 has
all its directions modulo inversion: 38 points per discriminant. The origin
and all 2-torsion are retained. Signs are retained. The principal branch,
normalization, positive square root, natural logarithms, negative q for odd
Delta, and continuous origin term are explicit.
`argument-selection.md` justifies every parameter jointly where necessary:
Delta is an arithmetic slice, N is a bounded discrete index, and r,s describe
exact finite-group points rather than independent continuous samples. The
cutoff and representative choice are explicitly noncanonical. There is no
claim of a separate application for every combination. The completeness note
and generator enumeration agree.
## Computation and evidence
* `generate.py`: standalone Arb q-average with explicit geometric-quadratic
bounds for both tails. The minimum measured relative accuracy is 390 bits,
about 117 decimal digits. It uses 128 extra working bits and 7–55 terms on
each side. All selected values are nonzero; none was made exact from its digits.
* `dry-run.log`: 494 entries pass named-import, exactness/enclosure and prose
checks. The longest computed enclosure is 152 characters, with a 98 KB
measured block before rounding to the stored 100-digit representation.
* `checks.py`, `numerical-evidence.json`: every entry was recomputed at 30
extra decimal working digits and checked against independent 150- and
190-digit Fourier calculations. The Fourier implementation analytically
sums the geometric q-direction and uses Hurwitz zeta on the unit circle.
A known nonzero Hurwitz grouping control passed first. Maximum relative
discrepancies: 2.85e-148 against the higher-precision Arb midpoint and
1.24e-134 between Fourier precisions.
* Every input passes recomputed inversion and conjugation tests (988 checks).
The full finite-group distributions for orders 1–6 and the applicable
rectangular 4-torsion identities pass (83 checks).
* The square-lattice origin agrees with 4*pi*beta(2)/9 computed independently
from Hurwitz zeta. Six direct lattice sums check the normalization with
explicit coarse tails; these are not certificates for the 100 digits.
* `readback.log`, `stored-evidence.json`: `verify(sample=None)` reports
**494/494 matched, 0 differing, 0 missing, 0 extra**. Every stored decimal
interval contains the higher-precision enclosure, and the independent
Fourier and finite-group checks were rerun on the retrieved values.
* Versions in the Sage computation: SageMath 10.9, numberdb 0.1.10,
mpmath 1.4.1. The local cheap screening used mpmath 1.3.0 from the shared
disposable dependency directory.
* `audit.json`: `clean: true`, no findings. The initial audit requested an
installation command in the generator docstring; that was added. The
numerical source was unchanged by this documentation fix.
## Source caveat resolved during the build
The simplified relation in Samart (2.13) fails for all eight selected rhombic
markings. It implicitly identifies two diagonal 3-torsion directions that
agree on rectangular lattices but need not agree on rhombic ones. At Delta=-3
its residual is 4.74800082621622488378..., rigorously separated from zero.
The full E[3] distribution sum succeeds everywhere. This is a discrepancy in
a stated relation, not an ambiguity in the defining q-average. The draft
states the necessary restriction and does not claim the unrestricted
simplification. The attached lesson artifact records the finding and its
cause; no skill or source file was changed.
## Independent critique and remaining human decisions
`selection-fingerprint.json` was obtained with the required command against
the live draft and its attachments, including generate.py, checks.py and
argument-selection.md. It is an observation, not an acceptance. The critic
must obtain a fresh fingerprint, independently assess all selected parameters
and numerical claims, and record its own NUMBERDB_RUN_ID as reviewer_run in
its sidecar. This build has not impersonated that stage.
Existing tags used: special values, special functions, elliptic curves,
period. The tag page still lacks `polylogarithm` (which would join T175, T176,
T700, T701 and T702) and `complex multiplication` (T83, T649, T700, T701,
T702). These remain proposals for a person. T701 is still a draft companion;
coordinate its publication before T702 becomes public. No link or identifier
was invented for the unbuilt L32 proposal. Family issue #263 remains an
umbrella request, and no closure of that request was attempted.
All code, numerical results, source archives, screening, manifests and logs
are under this run's TMPDIR. The only required build receipt outside that
work directory is `agents/runs/20261110T013256Z-build.table.json`, naming T702.
There were no commits, pushes, deployments, publication actions or offers.