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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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Seam rp exclusion

v903_seam_rp_exclusion.py · core

Read the original description and evidence links

SEAM.STATE.DERIVATION.01 + CFIN.MIXING.NORMALIZATION.01 + CFIN.MINIMAL.MEDIATOR.01 + CFIN.TWISTED.RP.01 + CFIN.RP.DILATION.01 + CFIN.GAP.PENCIL.01: **die Seam-RP/Modular-Exklusion + zwei tote Lesarten (25/25 + 23/23 + 20/20 + 20/20 + 23/23 + 18/18)** — strikte RP erzwingt t = 0 unter BEIDEN räumlichen Reflexionen (odd-Gram-Eigenwerte EXAKT ±|a_J| der {4,5}-Duade auf 2.2e-16: OS-Positivität ⟺ a_J = 0 ⟺ der v898-Mischungs-Floor FÄLLT — RP und Mischung schließen sich auf dieser Familie gegenseitig aus); u ≥ t erzwungen (u = 0 RP-ausgeschlossen, Runde-57-Lesart korrigiert); 2π-KMS-Locus = der Punkt (t=0, β=2π); der komplette getwistete OS-Zensus EXKLUSIONÄR (48 Kandidaten, 16 involutiv, 6 admissibel, 0/6 mit strikter RP bei t > 0); die Dilations-Route GESPALTEN (der v898-M2-Parent ist θ_abT-marginaler Zeuge AUF dem Kegelrand, die Schur-Kompression trägt die VOLLE Pfaffian-Mischung mit t²·3m/(1−m²) = 1/200 EXAKT; die strikte Kollar-Route familienweit exakt obstruiert, 30 Defekteinträge ALLE mit Betrag 2t); t_gap = 0.230949 THEOREM-FÖRMIG (Pf(A_dep + t·A_int) = −(t−1)(3t²−1)·q(t) EXAKT, q = 9t³+21t²−t−1 irreduzibel, Sturm-Eindeutigkeit auf (0, 1/4], Kern-Dimension exakt 2, drei kritische Flächen = Projektionen EINER Varietät, KEINE Wurzel ist 1/8); DIE ZWEI TOTEN LESARTEN als erstklassige Negative: 't = 1/8 ist ein Compiler-Wert' ist eine DEKORATION (55/55 t bestehen alle eingefrorenen v898-Gates, erlaubte Menge (0, ∞), PIN-ABSENT), 'N_fam = 3 = minimaler Mediations-Rang' ist WIDERLEGT (Rang 1 genügt per Vorzeichengesetz + Ganzzahl-Zeuge, deployter S-Rang exakt 2; die 3 pint Rand-Reinheit = Dimensions-Buchhaltung); die [O]-Prämisse von v898 bleibt UNBEWEGT.

Read the original Python source

Linked claims: SEAM.STATE.DERIVATION.01 SEAM.CFIN.MIXING.NORMALIZATION.01 SEAM.CFIN.MINIMAL.MEDIATOR.01 SEAM.CFIN.TWISTED.RP.01 SEAM.CFIN.RP.DILATION.01 SEAM.CFIN.GAP.PENCIL.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 Source section 11

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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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