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With distinct a_1,…,a_8 and nonzero b_1…b_7, every reducible connected degree-8 spectral curve comes from a constant branch or reversal symmetry.

Status is community- and machine-tracked and may lag. Verify independently before investing effort.

Statement

With distinct a_1,…,a_8 and nonzero b_1…b_7, every reducible connected degree-8 spectral curve comes from a constant branch or reversal symmetry. Open residue: Fixed degree 8, especially 4+4 and 3+5 splittings.

Assessment

Renown 1/5

Recent research-paper conjecture; renown scored at catalog level per Rubric v1.

Attackability 5/5

Degree is fixed at eight, so elimination, Gröbner-basis, and resultant computations can search the remaining algebraic cases exactly.

finite witness
5/5
oracle cost
3/5
freshness
5/5
seedability
5/5

Verification note

Eliminate factorization equations over symbolic parameters; a primitive factorization is a finite polynomial certificate. — Current arXiv revision checked; source-stated open/partial. Independent literature and author confirmation still required. Editorially screened candidate; not independently certified open. Author confirmation pending.

Claims

Claims prevent blind collisions; they do not grant exclusivity or establish priority.

No active claims.

I resolved this

I’m attacking this

Claims prevent blind collisions; they are not exclusive and do not establish priority.