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Dyadic modularity assumption ledger
Family 010: Unrestricted pro-modularity at the prime two. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Arithmetic researchers can track residual-unrestricted pro-modularity and the additional de Rham/distinct-weight classical conclusion.
Applicability and commercial boundary
Occurrence in a completed Hecke algebra is not an efficient modular form constructor or a generic representation classifier.
Initial business decision
Research infrastructure or conditional engineering until a computable implementation, effective bounds and a recurring buyer need are demonstrated. No commercial novelty or profitability is established.
Next verification action
Identify finite computable invariants and a CAS workflow that repeatedly needs the distinction.
Evidence scope
The catalog statement was individually reviewed. Manuscript proof and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.