s1358 — house checks of A1792 (D1426 return)
  receipt   PASS   filed_d1414_house_frames_npz
  receipt   PASS   filed_chatgpt_d1425_maps_npz
  receipt   PASS   filed_chatgpt_d1426_maps_npz
  receipt   PASS   lane_program_as_shipped
  receipt   PASS   lane_results_json_as_shipped
  computed  PASS   H1_house_first_symbol_equals_house_T_and_times_96_equals_the_lane_L1   [closed form vs T on a random connection (rel) < 1e-12; T(W) in 56 ⊗ (e7 ⊕ ℝ) residual < 1e-12; max |96·L1_house − L1_lane| < 1e-09]
  computed  PASS   H2_all_25_representative_blocks_rebuilt_by_the_house_equal_the_lane_blocks_with_the_printed_ranks   [25/25 equal ×96; ranks by SVD (density/E7) all == printed; largest block 2174 × 4229 rank 2097/2069]
  computed  PASS   H3_totals_rank_1516352_and_1509816_cokernels_28576_and_35112   [{"rows": 1544928, "rank_density": 1516352, "rank_e7": 1509816, "cokernel_density": 28576, "cokernel_e7": 35112, "columns_density": 4134704} — house ranks of the 25 types × the lane's orbit counts (its transport certificate, not re-run); rows == 1596·968, columns == 30856·134]
  computed  PASS   H4a_ell_annihilates_every_column_of_the_full_third_symbol_touching_its_rows_density_included   [423842 columns (all 3163 triples containing a witness pair × 134, density column included): max |ℓ·L3 column| ×96 < 1e-09; ℓ·M_lane = 0 exactly; ℓ has 69 nonzero entries]
  computed  PASS   H4b_both_shipped_second_jets_pair_nonzero_with_ell_so_neither_extends_to_third_order_even_with_density   [{"density": {"ell_dot_house_source": -0.030923, "equals_minus_lane_pairing_rel_1e-10": true, "nonzero": true}, "e7": {"ell_dot_house_source": 0.040412, "equals_minus_lane_pairing_rel_1e-10": true, "nonzero": true}} (house source T(S(A, B_old)) on the witness pairs; the lane prints the RHS −T(S), hence the sign)]
  computed  PASS   H5_both_new_second_jets_are_the_printed_13_tensor_combinations_and_solve_every_second_jet_equation   [{"density": {"combination_identity_exact": true, "symmetric": true, "identity_part_zero": false, "second_jet_rel_residual": "< 1e-12", "ok": true}, "e7": {"combination_identity_exact": true, "symmetric": true, "identity_part_zero": true, "second_jet_rel_residual": "< 1e-12", "ok": true}}]
  computed  PASS   H6_both_new_third_jets_are_e7_valued_and_solve_T_C_eq_minus_T_S_on_all_1596_pairs   [{"density": {"C_nonzero": 20488, "C_identity_entries": 0, "S_in_e7_plus_R_residual": "< 1e-12", "house_source_support_equals_lane": true, "house_over_lane_ratio_constant_rel_1e-10": true, "pairs_with_nonzero_source": 1596, "max_rel_residual_T_C_plus_T_S": "< 1e-11", "max_abs_residual_where_source_zero": "< 1e-12", "ok": true}, "e7": {"C_nonzero": 20996, "C_identity_entries": 0, "S_in_e7_plus_R_residual": "< 1e-12", "house_source_support_equals_lane": true, "house_over_lane_ratio_constant_rel_1e-10": true, "pairs_with_nonzero_source": 1596, "max_rel_residual_T_C_plus_T_S": "< 1e-11", "max_abs_residual_where_source_zero": "< 1e-12", "ok": true}}]
  computed  PASS   H7_house_generalized_Lie_derivative_of_exp_Phi_closes_to_cubic_order_ratio_8_with_order_2_controls_ratio_4_and_matches_the_lane   [12 evaluations (2 jets × 3 lane directions × log order 3 / 2 control) at h = 0.1, 0.05, 0.025: order-3 ratios [8.0]; order-2 ratios [4.0]; all == the lane's printed defects to 1e-6; EΩEᵀ = λΩ < 1e-12]
  argument  ARG    scope
  argument  ARG    reading

VERDICT A1792 HOUSE CHECKS: house first symbol == lane L1; 25/25 third-symbol blocks and ranks reproduced; totals 1,516,352 / 1,509,816; both shipped second jets obstructed by one integer covector (density allowed); both new second jets extend to complete third jets; exp Φ closes to cubic order (ratio 8). Block A CONFIRMED in house.
RESULT_HASH 38c9f6847d8836b3
s1358: 13 computed/receipt PASS-able, 2 argument, 0 failed
