s1218 — κ provenance: the slot-norm involution P
receipts {'d692': 'f72e724f81f24ca9', 's1213': '8ebfd610d75098b2', 's1182_results_json': '670028f5e2ed1d36'}
  receipt   PASS   d692_is_the_file_A1750_receipted
  computed  PASS   numpy_octonions_match_d692   [τ(e_i,e_j,e_k) numpy vs d692.tau0, all 512]
  computed  PASS   split_signature_4_4   [N(e_i) from the d692 table]
  computed  PASS   K1_BminusL_from_exterior_degree_matches_the_SM_table   [B−L = (X + 4Y)/5 with X by exterior degree vs the SM assignment, 16 slots]
  computed  PASS   K1_electric_charges_are_the_SM_ones   [Q = T3 + Y from the d692 exterior data, T3(4) = −1/2: [('L', '-1'), ('L', '0'), ('Q', '-1/3'), ('Q', '2/3'), ('dc', '1/3'), ('ec', '1'), ('nuc', '0'), ('uc', '-2/3')]]
  computed  PASS   K1_slot_norm_equals_2Q_minus_BminusL_on_all_16   [P(f) = N(B(f)) vs 2Q − (B−L), 16 fermion slots]
  computed  PASS   K1_slot_norm_is_frame_invariant_over_the_384   [N(M·B(f)) = N(B(f)) for all 16 slots and all 384 valid signed permutations]
  computed  PASS   K2_P_is_a_valid_frame   [P = diag(η) against the 76 equations]
  computed  PASS   K2_P_is_an_automorphism_the_CD_flip   [P(xy) = P(x)P(y) on all 64 basis pairs; P = (a,b)↦(a,−b)]
  computed  PASS   K2_P_equals_R_I_minus1_the_Hu_Hd_exchange_in_K   [P vs R(A = I, s = −1) of the A1750 gauge family; P e7 = −e7 (H_u ↔ H_d)]
  computed  PASS   mass_triples_three_top_three_bottom_all_at_weak_index_4   [nonzero τ with Higgs index 4, Q_up = (c,3) for top, Q_dn = (c,4) for bottom: 6]
  computed  PASS   K3_the_16_diagonal_R_frames_are_all_valid   [eq residual of each R(A,s), A diagonal: 16 valid]
  computed  PASS   K3_only_P_and_P_Cf_are_colour_blind_odd_equal   [ODD-EQUAL hits: [['R(A=+++,s=-1)', 'doublet'], ['R(A=+++,s=-1)', 'singlet'], ['R(A=---,s=-1)', 'doublet'], ['R(A=---,s=-1)', 'singlet']] (lock 9cdf5f4fb2a598f1)]
  computed  PASS   K3_P_Cf_is_minus_P_on_V6   [R(−I,−1)|V6 vs −P|V6]
  computed  PASS   K3_higgs_leg_is_even_for_every_candidate   [Higgs-leg class over 17 candidates]
  computed  PASS   K3_U1_weights_classified_as_claimed   [single-leg U(1) weights (doublet, singlet): {'Y': ('EVEN', 'MIXED'), 'B-L': ('EVEN', 'EVEN'), 'Qem': ('MIXED', 'MIXED'), 'T3L': ('ODD-EQUAL', 'EVEN'), 'T3R': ('EVEN', 'ODD-EQUAL')}]
  computed  PASS   K3_T3L_and_T3R_are_P_over_2_on_their_legs   [2T3L vs P on the 6 Q slots; 2Y − (B−L) vs P on the 6 quark-singlet slots]
  argument  ARG    K3_Jvac_is_T3_blind_cited
  computed  PASS   K4_singlet_leg_deformation_is_exactly_1_minus_k_1_plus_k   [τ(x,y,(1+κP)z)/τ on the 6 mass triples, κ ∈ (0.00912, -0.0137, 0.25)]
  computed  PASS   K4_doublet_leg_deformation_is_exactly_1_plus_k_1_minus_k   [τ(x,(1+κP)y,z)/τ on the 6 mass triples]
  computed  PASS   K4_higgs_leg_deformation_is_universal   [τ((1+κP)x,y,z)/τ on the 6 mass triples]
  computed  PASS   K4_control_a_generic_diagonal_leg_weight_is_not_odd_equal   [random diagonal singlet-leg weight: top [0.7676, 0.9584, 0.9994], bottom [1.0205, 0.9551, 1.1086]]
  argument  ARG    K4_reading
  computed  PASS   K5_even_part_consistent_with_zero_within_1sigma   [s1182 kappa_even 0.0484 % vs sigma_even 0.1061 %]
  computed  PASS   K5_observed_sign_is_positive_kappa_on_the_singlet_leg   [top -0.8638 %, bottom +0.9606 % ⇒ singlet-leg κ_s = +0.9122 % (doublet-leg −0.9122 %)]
  computed  PASS   K5_magnitude_ratio_clause_0p5_to_2   [|δ_t|/|δ_b| = 0.8991]
  computed  PASS   K6_Jc_is_the_complex_structure_compact_colour_commutes_with   [J_c² = −1 and [T, J_c] = 0 for the 8 compact generators]
  computed  PASS   K6_compact_colour_has_one_invariant_positive_form_proportional_to_I   [null space of {TᵀS + ST = 0} over symmetric S on V6: dim 1]
  computed  PASS   K6_P_on_V6_is_the_Cartan_involution_delta_inverse_eta   [δ_c⁻¹ η|V6 vs P|V6]
  computed  PASS   K6_split_J_is_paracomplex_and_anticommutes_with_P   [J = L_{ē7}|V6: J² = +1 (s1213 T2) and PJ = −JP]
  computed  PASS   K6_compact_colour_structure_is_P_times_split_J   [J_c vs P·J on V6]
  computed  PASS   K6_P_anticommutes_with_Jc   [P J_c P = −J_c]
  argument  ARG    K6_reading
  argument  ARG    K7_limits

K3 census (lock 9cdf5f4fb2a598f1): ODD-EQUAL hits [['R(A=+++,s=-1)', 'doublet'], ['R(A=+++,s=-1)', 'singlet'], ['R(A=---,s=-1)', 'doublet'], ['R(A=---,s=-1)', 'singlet']]
K5 κ_s = +0.9122 %  even/σ = 0.457  |δt/δb| = 0.8991

VERDICT κ's T₃ weighting is carried by ONE registered object, the slot-norm involution P (= 2Q − (B−L) on the 16; the CD flip; the H_u↔H_d element of K; δ_c⁻¹η with J_c = P·J). A leg-local P deformation of the one trilinear FORCES δ_t = −δ_b for every colour (the relative up/down sign of the two completed operators); the leg × sign of κ is ONE input bit (data: +0.9122 % on the singlet leg ⇔ −0.9122 % on the doublet leg), |κ| stays fitted. Census (lock 9cdf5f4fb2a598f1): no other registered candidate is colour-blind and odd-equal. Limits: generation-blind; scheme-conditional; the form is not derived.
RESULT_HASH a84afb607bec1b41
s1218: 30 computed/receipt PASS-able, 4 argument, 0 failed
