s1295 — house checks of A1782
  B1_blind_ratio               {"limit a→∞": "4", "literal-amplitude reading limit": "oo", "values (6 d.p.)": {"1/10": 1.433084, "1/4": 2.740077, "1/2": 3.788048, "1": 3.995977}}
  RAY_lane_table               {"a": [0.0, 0.1, 0.25, 0.5, 1.0], "ε vs sech 12a": "<1e-12", "θ vs tanh 12a (absolute)": "<1e-12", "m² vs ½cosh³ 4a": "<1e-12", "ratio vs ε(0)m²(0)/(ε m²) from the lane columns": "<1e-12", "ratio vs 4 − 3 sech² 4a": "<1e-12"}
  N28_cross_route              {"P1": {"‖𝒩(house blocks, lane V) − lane 𝒩₂₈‖": "<1e-12", "lane V symmetric (‖V − Vᵀ‖)": "<1e-12"}, "P2": {"‖𝒩(house blocks, lane V) − lane 𝒩₂₈‖": "<1e-12", "lane V symmetric (‖V − Vᵀ‖)": "<1e-12"}}
  DIR_directional_coefficient  {"z (torus coords)": [0.5, 0.5, 0.5, 0.5], "R4 z − cZ": "<1e-12", "P1": {"zᵀε₄z": "0.826692714520", "zᵀε₄⁻¹z": "1.597571581028", "1/(zᵀε₄z)": "1.209639304226", "product": "1.320701", "|zᵀε₄z − printed ε_Z|": "<1e-11", "|zᵀε₄⁻¹z − printed mixed norm|": "<1e-11"}, "P2": {"zᵀε₄z": "0.579591159031", "zᵀε₄⁻¹z": "1.941981141068", "1/(zᵀε₄z)": "1.725354130095", "product": "1.125555", "|zᵀε₄z − printed ε_Z|": "<1e-11", "|zᵀε₄⁻¹z − printed mixed norm|": "<1e-11"}}
  FF_four_form_flat            {"CHI": [[1, 1, 1], [1, -1, -1], [-1, 1, -1], [-1, -1, 1]], "rank of χ differences": 3, "product at s = 0": "1.000000000000000", "min product over the 44 sampled s ≠ 0": "1.154750", "one axis s = (t,0,0): both equal cosh 2t (t = .3)": "<1e-14"}
  LAT_lattice_frame            {"‖E_L − √2E‖": "<1e-14", "‖F_L − F/√2‖": "<1e-14", "‖E_LᵀΩF_L − I‖": "<1e-14", "‖E_LᵀΩE_L‖, ‖F_LᵀΩF_L‖": ["<1e-14", "<1e-14"], "P1 ‖𝒩_L − 2𝒩‖": "<1e-12", "P2 ‖𝒩_L − 2𝒩‖": "<1e-12"}
  Q_charges                    {"max |Re λ|": "<1e-12", "Im λ (sorted)": [-0.5, -0.5, -0.5, -0.5, 0.5, 0.5, 0.5, 0.5]}
  receipt   PASS filed_chatgpt_d1421_maps_npz
  receipt   PASS filed_d1414_house_frames_npz
  receipt   PASS filed_lane_printed_output
  receipt   PASS filed_AS_SENT_D1421_md
  symbolic  PASS B1_cosh12a_over_cosh4a_cubed_is_4_minus_3_sech2_4a
  symbolic  PASS B1_equals_the_withheld_form_4cosh12a_over_cosh12a_plus_3cosh4a
  computed  PASS B1_limit_is_4_the_literal_amplitude_reading_diverges_and_the_values_match_the_withheld_forecast
  computed  PASS RAY_the_lane_ray_rows_obey_the_house_closed_forms_and_its_own_ratio_definition
  computed  PASS N28_the_house_real_block_formula_on_the_lane_V_reproduces_the_lane_N28_at_P1_and_P2
  computed  PASS DIR_epsilon_Z_is_z_eps_z_the_Z_charge_coupling_is_z_epsinv_z_and_they_are_not_reciprocal_at_P1_P2
  computed  PASS FF_on_the_four_form_flat_epsilon_Z_times_the_Z_charge_coupling_exceeds_one_except_at_s_0
  computed  PASS LAT_the_A1768_lattice_frame_is_symplectic_and_doubles_N
  computed  PASS Q_the_lane_Z8_has_eigenvalues_plus_minus_i_over_2_four_each
  argument  ARG  reading
  argument  ARG  scope
VERDICT: A1782 confirmed where checkable in house — the blind ratio 4 − 3 sech²(4a) → 4 (B1 HIT), the lane ray table, its P1 / P2 kinetic matrices by a second route, ε_Z directional (Z-charge coupling zᵀε⁻¹z), the lattice frame doubling 𝒩, and Z-charges ±½ on the spin-3/2 eight.
RESULT_HASH 3c3aadcac8b9753a
s1295: 7 computed, 2 symbolic, 4 receipt, 2 argument, 0 failed
