s1219 — is the X charge exact?
receipts {'d692': 'f72e724f81f24ca9', 's1216_results_json': '4b69afee696b47c1', 's1218': 'f77e404dbc3d313b'}
  receipt   PASS   d692_is_the_file_A1750_receipted
  receipt   PASS   s1218_is_the_filed_C1_kernel
  computed  PASS   numpy_octonions_match_d692   [τ(e_i,e_j,e_k) numpy vs d692.tau0, all 512]
  computed  PASS   C1_BminusL_equals_X_plus_4Y_over_5_on_every_field   [(X + 4Y)/5 vs the SM B−L on all 20 components (fermions + Higgs)]
  computed  PASS   C1_p5_identity_Dirac_sum_zero   [X(L) + X(H_u) + X(ν^c) = -3 + -2 + 5]
  computed  PASS   C1_p5_identity_Majorana_charge_10   [X(ν^cν^c) = 2·5]
  computed  PASS   C1_neutral_Higgs_components_are_weak_index_4   [Q = 0 Higgs components: [('Hd', 4), ('Hu', 4)]]
  computed  PASS   C2_every_nonzero_registered_trilinear_conserves_X_Y_BminusL_Q   [14 nonzero τ entries of the 76: violations {'X': 0, 'Y': 0, 'BL': 0, 'Q': 0}]
  computed  PASS   C2_control_zero_entries_do_carry_charge   [ZERO τ entries with Σ Q_em ≠ 0: 38 of 62 (the conservation check can fail)]
  computed  PASS   C2_Dirac_neutrino_trilinear_is_supplied_by_tau_and_is_X_neutral   [τ(H_u^0, ν_L, ν^c) = 1; X 0, Q 0]
  computed  PASS   C2_Higgs_doublet_components_share_one_X   [X(H_u^+) = X(H_u^0) = -2; X(H_d^-) = X(H_d^0) = 2]
  argument  ARG    C2_spurion_is_X_neutral
  computed  PASS   C3_vacuum_breaks_X   [X(H_u^0) = -2, X(H_d^0) = 2]
  computed  PASS   C3_unique_unbroken_combination_is_X_plus_4Y   [null space of [X, Y] on (H_u^0, H_d^0): dim 1, combination X + 4.000000·Y]
  computed  PASS   C3_BminusL_unbroken_and_equal_to_X_over_5_on_nuc_pair   [B−L(H^0) = 0; on ν^cν^c: X = 10 = 5·(B−L = 2)]
  computed  PASS   C4_s1216_computed_BminusL_has_no_traceless_lift   [s1216 json: best traceless lift misses B−L by 0.585366; uniform part 0.5; s1216 failed 0]
  computed  PASS   C4_Y_has_a_traceless_lift   [s1216 y_s377_lift = [2, 2, 2, -3, -3, 6, -6, 0]/6 (json within 1e-6); exact trace 0 — an su(8) Cartan]
  argument  ARG    C4_X_has_no_traceless_lift
  computed  PASS   C4_registered_Z2_P_leaves_the_Majorana_bilinear_even   [P(ν^c)² with P(ν^c) = N(e7) = -1 (s1218 K2: P is a valid frame)]
  computed  PASS   C5_Majorana_bilinear_is_SM_gauge_invariant   [ν^c: Y = 0, T3 = 0 (weak and colour singlet, Λ⁰)]
  computed  PASS   C5_split_norm_pairs_nuc_with_itself   [N(B(ν^c)) = η(e7, e7) = -1 ≠ 0]
  computed  PASS   C5_BminusL_equals_2Q_minus_P_on_the_16_recomputed   [B−L vs 2Q − N(B(f)) on 16 fermion components]
  computed  PASS   C5_Majorana_obstruction_is_additive_P_charge   [B−L = −(P₁ + P₂) for neutral bilinears: {'Dirac nu_L nu^c': 0, 'Majorana nu^c nu^c': 2, 'Majorana nu_L nu_L (Weinberg core)': -2}]
  computed  PASS   C5_Weinberg_operator_violates_X_by_minus_10   [(L H_u)²: X -10, B−L -2, Q 0]
  computed  PASS   C6_Z_N_forbidding_both_violators_are_N_not_dividing_10   [keepers [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]; forbidding ν^cν^c and (LH_u)²: [3, 4, 6, 7, 8, 9, 11, 12]]
  argument  ARG    C6_reading
  computed  PASS   verdict_X_is_accidental_not_structural   [E1 True · E2(X) False · E3 False · E4 False]
  argument  ARG    print_consequence

tests {'E1_conserved_by_every_registered_operator': True, 'E2_unbroken_by_the_vacuum_X': False, 'E2_unbroken_by_the_vacuum_BminusL': True, 'E3_in_the_registered_structure_algebra': False, 'E4_violator_absent_from_the_structure': False}

VERDICT X is ACCIDENTAL: conserved by every registered operator (14 nonzero trilinears, the Dirac ν trilinear τ = 1, the spurion); broken by the vacuum to X + 4Y = 5(B−L); outside su(8) ⊂ e7(7) (s1216 ⇒ no traceless lift); the violator ν^cν^c is gauge-invariant with N(B(ν^c)) = -1 and is EVEN under the registered Z₂ P. Its obstruction is the additive P-charge (B−L = 2Q − P). Nothing registered makes X exact: the Majorana exclusion is the Dirac-loaded CHOICE (p7:159 right; p5:327 "exact" = arithmetic only). Z_N ⊂ U(1)_X forbidding both violators: N ∤ 10.
RESULT_HASH 4d48dda795c54f16
s1219: 24 computed/receipt PASS-able, 4 argument, 0 failed
