s1349 — the κ bit, split
  receipt   PASS   d692_is_the_file_A1750_receipted
  receipt   PASS   s1218_source
  receipt   PASS   s1218_results
  computed  PASS   numpy_octonions_match_d692   [τ(e_i,e_j,e_k) numpy vs d692.tau0, all 512]
  computed  PASS   P_is_a_valid_frame_and_every_registered_slot_is_P_eigen   [P = diag(η) against the 76 equations; P v = ±v for every x, y, z of the 76 (all are ±e_i)]
  computed  PASS   L1_doublet_kappa_equals_singlet_kappa_times_p_x_on_every_nonzero_entry   [14 nonzero entries × 3 κ: 0 failures; p_x p_y p_z = 1 on all]
  computed  PASS   L2_neutral_index_4_flips_the_sign_charged_index_3_keeps_it_in_all_three_sectors   [p_x by sector and Higgs index: {'top': {'index_4': [-1], 'index_3': [1]}, 'down': {'index_3': [1], 'index_4': [-1]}, 'lepton': {'index_3': [1], 'index_4': [-1]}}; entry counts {'top': {'index_4': 3, 'index_3': 3}, 'down': {'index_3': 3, 'index_4': 3}, 'lepton': {'index_3': 1, 'index_4': 1}}]
  computed  PASS   L3_singlet_leg_uniform_on_every_invariant_doublet_leg_non_uniform_on_every_invariant   [7 singlet groups; singlet-leg factor sets [(0.75,), (1.25,)]; doublet-leg factor sets [(0.75, 1.25)]]
  computed  PASS   L4a_all_384_valid_frames_commute_with_P_none_flips_it   [384 valid frames: M P Mᵀ = P for 384; = −P on V6 for 0; any change 0]
  computed  PASS   L4b_the_gauge_family_K_is_valid_and_commutes_with_P   [8 seeded R(A, ±1), A ∈ SO(3) (Rodrigues): max equation residual < 1e-12, max |[R, P]| < 1e-12]
  computed  PASS   L4c_sigma_oct_commutes_with_P   [σ_oct = diag(1,…,1,−1) and P both diagonal]
  argument  ARG    L4_scope
  argument  ARG    reading

L3 groups:
   {"singlet": "('down', 0)", "entries": 2, "higgs_indices": [3, 4], "singlet_leg_factors": [1.25], "doublet_leg_factors": [0.75, 1.25]}
   {"singlet": "('down', 1)", "entries": 2, "higgs_indices": [3, 4], "singlet_leg_factors": [1.25], "doublet_leg_factors": [0.75, 1.25]}
   {"singlet": "('down', 2)", "entries": 2, "higgs_indices": [3, 4], "singlet_leg_factors": [1.25], "doublet_leg_factors": [0.75, 1.25]}
   {"singlet": "('lepton', 'ec')", "entries": 2, "higgs_indices": [3, 4], "singlet_leg_factors": [1.25], "doublet_leg_factors": [0.75, 1.25]}
   {"singlet": "('top', (0, 1))", "entries": 2, "higgs_indices": [3, 4], "singlet_leg_factors": [0.75], "doublet_leg_factors": [0.75, 1.25]}
   {"singlet": "('top', (0, 2))", "entries": 2, "higgs_indices": [3, 4], "singlet_leg_factors": [0.75], "doublet_leg_factors": [0.75, 1.25]}
   {"singlet": "('top', (1, 2))", "entries": 2, "higgs_indices": [3, 4], "singlet_leg_factors": [0.75], "doublet_leg_factors": [0.75, 1.25]}

VERDICT κ BIT SPLIT: matched on the vacuum (κ_singlet = −κ_doublet makes them agree on every neutral entry), the two leg-local P deformations differ on every charged entry; the singlet leg is a dimension-4 SU(2)_L-invariant reweighting, the doublet leg is the weak-adjoint spurion — the LEG is a choice of OPERATOR (invisible to masses), not a free sign. The SIGN is fixed by no registered symmetry: all 384 valid frames and the gauge family K commute with P (0 flips). Residual with the operator named: one sign (data) + |κ|.
RESULT_HASH 93cebf9c795346ec
s1349: 11 computed/receipt PASS-able, 2 argument, 0 failed
