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Choose a result, inspect its assumptions, then run the calculation that supports it. Each check answers a specific question. The original status and the scope of that answer stay attached.

Start with the E₈ construction.

The first module builds the lattice explicitly. It checks the glue, constructs its 240 roots and tests the lattice basis. You can read the source before running it.

Question: Does the explicit construction give the even, unimodular E₈ lattice?
What is tested: Shared ℤ₄ discriminant data; glue norms 5/4 + 3/4 = 2; 240 roots of squared length 2; an integral, even basis with determinant 1.

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This is a mathematical lattice check. Identifying that lattice with a physical system requires additional arguments and retains its own status.

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Search all 707 registered Python modules by subject, filename, claim or source section. This catalogue records source presence and links. It does not report a new execution or a passing result for every module.

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Curve code 2torsion

v784_curve_code_2torsion.py · core

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CURVE.CODE.2TORSION.01: der Kurven/Code-2-Torsions-Entscheider — **CURVE-CODE-PARTIAL (33/33): die eingefrorene CM-Modell-Route durch die Naht-Kurve y³ = x⁴ − 1 (exakte Differentialcharaktere zeta^11, zeta^7 = v610; JEDE Generator-Periode als ganzzahlige O = Z[zeta_12]-Erkennung zertifiziert, dps 120, Residuen < 1e−35, HNF-Index 1; A[2] = O/2O = F2⁴ ab dort EXAKT; tau = Mult. mit zeta⁴ als einzige Ordnung-3-Klasse ABGELEITET; minimale UNGERADE tau-invariante Polarisation Typ (1,3) — keine Hauptform im tau-invarianten Kegel, Einheiten-Vorzeichen-Obstruktion; q_Theta = die eindeutige tau-fixe Verfeinerung): die Korrespondenz STIRBT an zwei exakten Schichten — (1) SIGMA: tau wirkt FREI auf A[2] (Zykeltyp [3,3] auf den 6 ungeraden Theta-Charakteristiken, Synthem-Seite), der Code-sigma-bar fixiert eine 2-Ebene ([3,1,1,1], Duaden-Seite) — nur die ÄUSSERE S6-Automorphie tauscht die Klassen, äquivarianter Zensus 0; (2) VERFEINERUNG: q_Theta ist GERADE (Arf 0, 1+6+9), der Code-Selektor q* UNGERADE (Arf 1, 1+5+10) — Arf ist Transport-Invariante, Zensus 0; Gesamt-Zensus 0 mit Positiv-Kontrolle 6; alle Muss-Kontrollen feuern

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Linked claims: CURVE.CODE.2TORSION.01
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4 Source section 5 Source section 6 Source section 7 Source section 8 Source section 9 Source section 10

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A numerical calculation, a formal theorem and an experimental comparison carry different kinds of information. Follow the source appropriate to the claim.

Python calculations: Inspect the algorithm, its inputs and its negative controls. Run a browser compatible module here, or use the repository for the complete environment.Browse Python sources
Formal mathematics: Read the actual Lean statement and its assumptions. The carrier formalization has a defined mathematical scope.Inspect the Lean formalization
Independent implementation: The Wolfram implementation checks algebraic results through a separate computational path. The recorded runs report 116/116 base checks and 603/603 extension checks. This is distinct from external experimental replication.Read the Wolfram implementation
Physical comparison: Read each prediction with its freeze, conditions and failure criterion. A passing mathematical check does not decide the experimental comparison.Open the prediction register

Run the same check on your machine.

From a checkout of the repository, install its Python requirements and run the first lattice module. The complete suite is a separate step.

Set up the repository

git clone https://github.com/sthamann/tfpt.git
cd tfpt
python3 -m venv .venv
.venv/bin/pip install -r requirements.txt

Check the E₈ lattice

.venv/bin/python verification/v1_e8_glue.py

Read the individual checks and the final pass or fail result.

Run the registered suite

cd verification
../.venv/bin/python run_all.py

The full suite uses the dependencies and source context documented in the repository.

Repository setup and maintenance instructions

Read the current claim beside its source.

The research snapshot dated 2026-11-02 includes the active ledger, reviewed findings and registered scripts. It records source coverage and stated scope; it is not a new execution of every proof or calculation.

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