s1243 — house checks of A1766: charge conjugation on states, the exhibited isomorphism, the cycle-selected isotope
receipts {'s1240': '79e9e2b7422b68cd'}
  C56            {'orthogonal_involution_symplectic': True, 'preserves_X': True, 'reverses_the_four_charges': True, 'fixes_F0_pointwise': True, 'is_gauge_times_minus_R': True}
  C_on_states    {'C8_is_the_lift_of_C56': True, 'charges_reversed_on_gravitini_and_spin_half': True, 'gravitino_and_spin_half_mass_terms_invariant': True, 'scalar_hessian_invariant': True, 'established_on_F0_at_P08': True}
  isomorphism    {'all_64_products_match': True, 'norm_is_diag_plus4_minus4': True, 'table_entries_in_minus1_0_1': True}
  cycle          {'fixed_algebra_dim': 14, 'killing_signature': [8, 6], 'fixed_lines_per_eight': [1, 1, 1], 'fixed_line_in_adjoint_block': 1, 'all_of_positive_norm': True, 'torus_in_fixed_algebra_dim': 2, 'adapted_unit_on_fixed_line': True, 'fixed_algebra_acts_by_derivations': True, 'sign_change_is_an_isomorphism': True, 'derivation_torus_rank': {'cycle_adapted_units': 2, 'house_units': 0}}
  a_flat         {'threshold_x1_lane_formula_equals_house_bisection': True, 'hoelder_margin_min': 0.000899245, 'hessian_at_o': [0.0304683, 0.0304683, 0.0304683], 'fourth_difference_jump_over_prediction': 1.005}
  blind          {'G_eigenvalues_BL1_BL3_match_to_9_decimals': True, 'V_Lambda_and_gradient_match_to_9_decimals': True, 'normal_derivatives_match': True, 'unstipulated_s1240_values_match': True}
  receipt   PASS s1240_is_the_filed_kernel_whose_product_is_tested_unaltered
  receipt   PASS the_filed_lane_code_is_the_file_its_two_run_certificate_names_NOT_imported
  receipt   PASS the_filed_lane_output_holds_the_printed_blind_values
  receipt   PASS the_house_withheld_file_as_it_stood_when_the_return_arrived
  receipt   PASS s1239_is_the_filed_kernel_whose_head_supplies_T0_and_the_three_planes
  receipt   PASS s1225_is_the_filed_evaluator_kernel_executed_head_only
  receipt   PASS s1235_is_the_filed_kernel_whose_charge_construction_is_copied
  receipt   PASS s1238_is_the_filed_house_check_of_the_lanes_point_c_c
  receipt   PASS the_filed_A1764_lane_report_is_the_source_of_B_c_and_of_the_lattice_weights_NOT_imported
  receipt   PASS s1220_is_the_filed_kernel_whose_construction_is_copied
  receipt   PASS s121a_is_the_file_whose_potential_is_copied
  computed  PASS the_two_generator_stacks_agree
  computed  PASS golden_vacuum_is_a_Minkowski_critical_point_as_s121a_says
  computed  PASS golden_vacuum_is_2lnphi_from_the_origin
  receipt   PASS s640_lib_is_the_S220_A_layer_executed_verbatim
  receipt   PASS s646_is_the_source_of_the_SV_vector_operator_executed_verbatim
  receipt   PASS s645c_results_hold_the_P6_gradient_reproduced_here
  computed  PASS the_S220_frame_is_this_kernels_frame
  computed  PASS Z0_the_torus_T0_its_fixed_directions_p0_and_three_commuting_sl2R_planes
  computed  PASS Z0_the_commutant_of_the_three_planes_is_so44_and_each_plane_carries_a_real_eight_with_an_invariant_44_form
  computed  PASS Z1_the_e7_action_between_the_eights_obeys_the_composition_law_for_the_three_44_forms
  computed  PASS Z2_a_unital_alternative_nonassociative_composition_algebra_of_dimension_eight_with_isotropic_norm
  computed  PASS V1_the_lanes_charge_conjugation_preserves_X_reverses_all_four_charges_and_fixes_F0_pointwise
  computed  PASS V2_charge_conjugation_acts_on_the_states_reversing_every_charge_and_leaving_every_registered_mass_operator_invariant
  computed  PASS V3_the_house_product_is_the_split_cayley_dickson_octonions_under_the_lanes_exhibited_map
  computed  PASS V4_HOUSE_EXTENSION_the_cycle_fixed_g2_fixes_one_positive_line_in_each_eight_and_selects_the_unital_product_up_to_a_sign_isomorphism
  computed  PASS V5_on_the_a_flat_o_is_the_global_minimum_by_hoelder_and_the_potential_is_C3_not_C4_across_the_massless_fermion_threshold
  computed  PASS V6_the_lanes_blind_values_equal_the_house_withheld_values
  argument  ARG  the_cycle_selects_the_product_up_to_isomorphism
  argument  ARG  reading

VERDICT A1766 confirmed on the house substrate: C56 preserves X, reverses the four charges, fixes F0 pointwise and acts on states leaving every registered mass operator invariant; the house product is the split Cayley–Dickson octonions under the lane's map (64 products); the cycle-fixed algebra is g2(2) (14; Killing (8,6)), fixes one positive line per eight and selects the unital product up to z ↦ −z, with a rank-2 sub-torus of T0 acting by derivations (rank 0 for the house units); o is the a-flat minimum (Hölder) and the threshold is C³ not C⁴; every blind value matched
RESULT_HASH 150270ff27eaea1f
s1243: 14 computed, 14 receipt, 2 argument, 0 failed
