All 31 S8 x S3 target-matching branches have support survivors (76 to 132 active entries, median 118), so inherited support conditions close zero branches, and on the sparsest branch Support 7 avoids eight signed-Laurent cuts while cap-5 elimination hit fill-in before a membership decision.
hunts/r_044dd2 (Record 57 of 98 in chronological sequence)
Guiding Question
For each of the 31 S8 x S3 target-matching branches, does any support on the 252 aggregate edge entries survive target nonemptiness, non-target non-singleton cancellation, star-anchor, pair-pencil, and full-column necessities?
Method & Verification
A support optimizer returned 31 of 31 survivors and an independent replay checked 203,391 branch-colouring conditions with zero failures, then signed-Laurent certificates and fixed-degree spans were run on orbit-18 supports including Support 7.
Lineage & Relationships
Primary Sources (at pin 8fa46e134)
Editorial Notes
RESULTS status is exact support census settled; algebraic sieve open. Hunt #71's statement that the 31 orbits reduce the full polynomial system is withdrawn here. No branch is closed and no complex witness was found. Disposition is partly settled for that split.
Date Provenance
commit 1550235e4be9a4d44c485ff94e82a2ed42f6f4ed, hunts/r_044dd2/RESULTS.md, author 2026-08-22T11:21:53-05:00