s1239 — the charge form over the torus-fixed Minkowski branch F0
receipts {'s1225': '3a34d719cd256201', 's1221': '223df3ac5e9efa17', 's1220': '516a5537c347cd72', 's121a': 'af01f1b96491c5ac', 'substrate': '43341215b5224b20'}
  carrier                {'stab_o': 16, 'stab_c_c': 8, 'rank_T0': 4, 'dim_p0': 6, 'dim_p0_bracket': 3, 'cstar_is_outside_p0': True, 'c_c_is_a_single_b_axis': True}
  minkowski              {'samples': 66, 'all_V_below_1e-10': True, 'all_grad_below_1e-8': True, 'off_branch_control_grad': 0.032465, 'off_branch_control_V': 0.002318}
  ansatz                 {'max_spin_half_residual_below_1e-12': True, 'max_gravitino_holdout_below_1e-12': True, 'max_vector_multiset_deviation_below_1e-9': True, 'negative_control_residual': 0.575}
  shape                  {'pair_identities_below_1e-10': True, 'gram_identity_below_1e-10': True, 'misoriented_control': 1.993785}
  strata_rank_signature  {'o': [[1, [1, 0]]], 'D': [[1, [1, 0]]], 'C': [[2, [2, 0]]], 'A': [[1, [1, 0]]], 'R1': [[1, [1, 0]]], 'AB': [[2, [2, 0]]], 'G': [[4, [3, 1]]]}
  c_c                    {'B_eigenvalues': [0.0, 0.0, 0.25, 2.25], 'distance_to_lane_B_c_up_to_permutation_below_1e-11': True}
  prod_mu                {'a_flat_is_one_quarter': True, 'rank_one_sheet_is_one_over_4cos6delta': True, 'all_samples_min': 0.25, 'all_samples_max': 4.333434005}
  stab_dim_by_stratum    {'o': [16], 'D': [16], 'C': [8], 'A': [4], 'R1': [4], 'AD': [4], 'AB': [4], 'G': [4]}
  jacobian_rank          {'o': 3, 'D56 s=0.8': 4, 'a-flat': 3, 'rank-one sheet': 4, 'a-flat + D56 combination': 6, 'c_c': 6, 'generic': 6}
  golden                 {'mu': [0.6506218, 0.68498607, 0.722232243, 0.77669907], 'representative_norm': 0.3212573, 'cstar_norm': 0.4812118, 'V1_representative': -0.072029564, 'V1_cstar': -0.072029564, 'isospectral_in_all_four_sectors': True}
  stability              {'generic_tachyonic': 13, 'generic_tachyon_free': 17, 'most_tachyonic_tau': -1.900624289, 'potential_second_derivative_there': -1.90062, 'tau_range_other_strata': {'D': [0.0, 0.0], 'C': [0.0, 0.0], 'A': [1.4604e-05, 0.175033207], 'R1': [0.004845663, 0.278539444], 'AD': [0.00069352, 0.032057918], 'AB': [0.000105335, 0.011201683]}}
  closed_form            {'max_relative_deviation_below_1e-10': True, 'prod_mu_is_one_over_4_prod_cos2_delta': True, 'samples': 67}
  FULL c_c                    {'stab': 8, 'orbit': 20, 'physical_scalars': 50, 'STrM8': 3803.344, 'lattice_M8': 3803.344, 'V1': -0.078383374, 'V_Lambda_B': -0.078383375, 'tau': 0.0, 'lowest_scalar_m2': 0.0, 'negative_scalars': 0, 'mu': [0.790569415, 0.790569415, 0.790569415, 0.790569415], 'B_eigenvalues': [0.0, 0.0, 0.25, 2.25]}
  FULL D56 s=0.8              {'stab': 16, 'orbit': 12, 'physical_scalars': 58, 'STrM8': 3115.345, 'lattice_M8': 3115.345, 'V1': -0.081815247, 'V_Lambda_B': -0.081815247, 'tau': 0.0, 'lowest_scalar_m2': 0.0, 'negative_scalars': 0, 'mu': [0.726102953, 0.726102953, 0.726102953, 0.726102953], 'B_eigenvalues': [0.0, 0.0, 0.0, 2.108901992]}
  FULL a-flat                 {'stab': 4, 'orbit': 24, 'physical_scalars': 46, 'STrM8': 2520.0, 'lattice_M8': 2520.0, 'V1': -0.055576361, 'V_Lambda_B': -0.055576361, 'tau': 0.132113781, 'lowest_scalar_m2': 0.0, 'negative_scalars': 0, 'mu': [0.599910661, 0.610780569, 0.659776514, 1.034121016], 'B_eigenvalues': [0.0, 0.0, 0.0, 2.23765703]}
  FULL rank-one sheet         {'stab': 4, 'orbit': 24, 'physical_scalars': 46, 'STrM8': 4360.378, 'lattice_M8': 4360.378, 'V1': -0.034373471, 'V_Lambda_B': -0.034373472, 'tau': 0.019961552, 'lowest_scalar_m2': 0.0, 'negative_scalars': 0, 'mu': [0.501698454, 0.548869863, 0.728968893, 1.638251855], 'B_eigenvalues': [0.0, 0.0, 0.0, 3.768224251]}
  FULL generic tachyon-free   {'stab': 4, 'orbit': 24, 'physical_scalars': 46, 'STrM8': 2748.897, 'lattice_M8': 2748.897, 'V1': -0.017892, 'V_Lambda_B': -0.017891994, 'tau': 0.978796962, 'lowest_scalar_m2': 0.0, 'negative_scalars': 0, 'mu': [0.46440076, 0.513940299, 0.669571613, 2.092321444], 'B_eigenvalues': [-0.030732827, 0.035678368, 0.231855208, 5.069137118]}
  FULL generic tachyonic      {'stab': 4, 'orbit': 24, 'physical_scalars': 46, 'STrM8': 10979.787, 'lattice_M8': 10979.787, 'V1': -0.110321783, 'V_Lambda_B': -0.102976619, 'tau': -1.900624289, 'lowest_scalar_m2': -1.900624, 'negative_scalars': 2, 'mu': [0.847201911, 1.134887022, 1.318303689, 1.340010548], 'B_eigenvalues': [-0.493713137, 0.85185991, 1.798867635, 3.382258107]}
  FULL golden representative  {'stab': 4, 'orbit': 24, 'physical_scalars': 46, 'STrM8': 2520.0, 'lattice_M8': 2520.0, 'V1': -0.072029564, 'V_Lambda_B': -0.072029565, 'tau': 0.000404113, 'lowest_scalar_m2': 0.0, 'negative_scalars': 0, 'mu': [0.6506218, 0.68498607, 0.722232243, 0.77669907], 'B_eigenvalues': [0.0, 0.0, 0.0, 2.017395501]}
  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 Z1_every_sampled_point_of_F0_is_tree_flat_and_tree_critical_and_an_off_branch_point_is_not
  computed  PASS Z2_at_every_sample_the_physical_spin_half_operator_is_a_quadratic_form_in_the_four_charges_and_the_same_form_gives_gravitini_and_vectors
  computed  PASS Z3_at_the_full_points_the_same_form_gives_the_physical_scalars_and_the_unclipped_supertraces
  computed  PASS Z4_OBSERVED_pair_and_gram_identities_of_the_cosines_hold_at_every_sample_in_the_Z_oriented_weight_basis
  computed  PASS Z5_rank_one_on_the_constructed_four_dimensional_sheet_rank_two_on_the_walls_rank_four_indefinite_at_generic_points
  computed  PASS Z6_dim_of_the_unbroken_algebra_is_four_plus_the_number_of_root_weights_on_which_B_vanishes
  computed  PASS Z7_the_map_from_the_six_coordinates_to_B_has_full_rank_six_at_generic_points_and_at_c_c
  computed  PASS Z8_the_golden_vacuum_has_an_isospectral_representative_on_the_a_flat_of_F0
  computed  PASS Z9_generic_points_of_the_branch_are_of_both_kinds_and_tau_is_the_lowest_scalar_mass_squared
  computed  PASS Z10_on_tachyon_free_points_the_registered_one_loop_potential_is_the_lattice_sum_of_B
  computed  PASS Z11_OBSERVED_closed_form_for_B_on_F0_in_three_plane_coordinates_holds_at_every_sample
  argument  ARG  every_rank_four_Minkowski_point_is_gauge_equivalent_to_a_point_of_F0
  argument  ARG  reading

VERDICT F0 = the fixed set of the unbroken 4-torus (6 directions, three sl(2,R) planes): 66 samples all tree-flat and tree-critical; M² = Σ B_ab Q_aQ_b on spin-½ at every sample, hold-outs (gravitini, vectors, scalars, supertraces) pass; closed form B_ij = μ_iμ_j cos(δ_a − δ_b) holds at every sample; B rank 1 on the 4-dim sheet δ₁ = δ₂ = δ₃ (a-flat with the golden representative, D56 line), rank 2 where two δ agree (c_c: the lane's B_c), rank 4 signature (3,1) at generic points; generic samples 13 tachyonic / 17 tachyon-free (τ = min sᵀBs); V₁ = V_Λ[B] where tachyon-free
RESULT_HASH 12ade668fcb89dec
first-run record: draft1 RESULT_HASH 113a07ce67984a84 (6 PASS / 5 FAIL of the Z-gates) — superseded; see the header
s1239: 16 computed, 9 receipt, 2 argument, 0 failed
