Regularity witness
A compact payload whose format depends on rs_regularity_method. An empty string means the method needs no payload; NULL means nothing is stored.
direct_mixed_jacobian: empty when regular, otherwise the comma-separated non-regular primes.direct_vertical_fiber_jacobian: empty when regular, otherwise its non-regular prime.three_lines_deletion:e=>target_id, the deleted element and the target's id.simple_core: the id of the simple core.smooth: normally empty. 809 rows keep an older, still valide=>target_iddeletion witness.unresolved_*: restart metadataprimes=p1,p2,...;basis=b1,b2,b3;attempts=N. This is not a certificate either way.- all other methods: empty.
Full details: docs/realization_scheme_singularity_census.md (Section 18.1).