s1316 — house checks of A1788: the pasted sharp map and the 1/8-BPS filter
  Q1_lane_zorn_algebra   {"N(pq) − N(p)N(q) monomials": 0, "conj(pq) − q̄p̄ nonzero slots": 0, "p·p̄ − N(p)1 nonzero slots": 0, "(pp)q − p(pq) nonzero slots": 0, "CONTROL (pq)r − p(qr) nonzero slots of 8": 8}
  Q2_lane_sharp          {"sharp(sharp X) − N X: nonzero components of 27": 24, "monomials": 2736, "nonzero components on the diagonal (x1,x2,x3)": 0, "N(sharp X) − N² monomials": 2538, "dN(X)[Y] − Σxy − Σ t(A·δ) (UNBARRED pairing) monomials": 0, "dN(X)[Y] − Σxy − Σ t(A·δ̄) (barred pairing) monomials": 150}
  Q3_corrected_sharp     {"sharp_std − bar∘sharp_lane nonzero components": 0, "diagonal of X∘X off the real line (nonzero entries)": 0, "det_J − (T³ − 3T trX² + 2 trX³)/6 monomials": 0, "sharp_std − (X∘X − T X + S 1) nonzero components": 0, "sharp_lane − (X∘X − T X + S 1) nonzero components": 24, "X## − N X (std) nonzero components of 27": 0, "N(X#) − N² (std) monomials": 0, "monomials in N(X) (generic element)": 45}
  Q4_bps_filter          {"max |ρ_recovered − ρ| over 50 normal forms": "<1e-10", "rank of a one-ρ Z (tol 1e-9·‖Z‖)": 2, "is_one_eighth_bps(one-ρ, ρ=2)": true, "is_one_eighth_bps(two-ρ, ρ=(2,1))": false, "is_one_eighth_bps(one-ρ, ρ=1e-9) — same orbit, rescaled": false}
  receipt   PASS lane_object_A1788_extracted_kernel
  receipt   PASS s973_expected_output_house_split_J3_sharp_sharp_numeric
  computed  PASS Q1_the_lane_zorn_algebra_composes_conjugates_anti_automorphically_and_is_alternative_identically
  computed  PASS Q1_control_the_lane_zorn_algebra_is_not_associative
  computed  PASS Q2_the_lane_sharp_fails_the_adjoint_identity_off_the_diagonal
  computed  PASS Q2_the_lane_sharp_is_the_gradient_of_det_J_under_the_unbarred_pairing_a_covector_not_an_element
  computed  PASS Q3_det_J_is_the_jordan_cubic_norm_and_the_corrected_sharp_is_the_basis_free_jordan_adjoint
  computed  PASS Q3_control_the_lane_sharp_is_not_the_jordan_adjoint
  computed  PASS Q3_ticket1_the_adjoint_identity_and_the_norm_of_the_adjoint_hold_identically_on_27_variables
  computed  PASS Q4_the_filter_recovers_the_normal_form_and_separates_one_rho_from_two
  computed  PASS Q4_the_filter_is_not_scale_free_a_rescaled_one_rho_charge_is_rejected
  argument  ARG  reading
  argument  ARG  bps_filter
  argument  ARG  scope
VERDICT: the pasted sharp fails X## = N(X)X (24 of 27 components); it is the conjugated gradient of det_J. The standard sharp conj(bc) − x1·a is the Jordan adjoint and passes X## = N(X)X and N(X#) = N(X)² identically on 27 variables. The 1/8-BPS filter is right but not scale-free.
RESULT_HASH f0848ba220dc716d
s1316: 9 computed, 2 receipt, 3 argument, 0 failed
