s1282 — house checks of A1777
  Q1_closed_forms_and_ledger   {"lane p,q,r forms vs house (m₃/₂², μ_A², μ_B²), pq²r − 1, μ_A² + μ_B² − 4m₃/₂² (max, 6 points, 30 digits)": "<1e-12", "ledger (−¾|Â1|², +|Â2|²/24, V) by signature": {"(8, 0)": [-6.0, 0.0, -6.0], "(6, 2)": [-1.5, 1.5, 0.0], "(4, 4)": [0.0, 2.0, 2.0], "(7, 1)": [-3.375, 0.875, -2.5], "(5, 3)": [-0.375, 1.875, 1.5]}, "max |‖Â1‖² − s²/8|, |‖Â2‖² − (48 − 3s²/4)| over 5 signatures × ω ∈ {π/4, 0.3}": "<1e-10", "Σ_M X_Mᵀ X_M − 12·I": "<1e-12", "R_A = μ_A²/m₃/₂² at radius 3 along directions": {"(1, ½)": 8.7e-05, "(½, 1)": 3.999913, "(1, 1)": 2.0, "(1, −1)": 2.0}}
  Q2_four_form_branch          {"generators: max in-e7 residual; symmetric; mutually commuting; commute with Q₁₂, Q₇₈": ["<1e-12", "<1e-12", "<1e-12", "<1e-12"], "χ rows": [[1, 1, 1], [1, -1, -1], [-1, 1, -1], [-1, -1, 1]], "X − ΣXᵢ; max Lₖ Xᵢ − χᵢₖ Xᵢ; min ‖Xᵢ‖/‖X‖": ["<1e-12", "<1e-12", 0.5], "dressing sign: ‖actX(e^{+s·A}) X − Σe^{−χ·s}Xᵢ‖, ‖actX(e^{−s·A}) X − …‖": [0.441497, 0.0], "branch points": {"triple t = 0.2": {"d": [0.818731, 0.67032, 0.548812, 3.320117], "V": "<1e-10", "|∇V|": "<1e-10", "gravitino m² − sort(d²/2 ×2)": "<1e-09", "lowest 12·Hessian": "<1e-09", "m/m_heaviest for d₁, d₂, d₃ vs e^{−7t}, e^{−8t}, e^{−9t}": "<1e-12"}, "triple t = 0.4": {"d": [0.67032, 0.449329, 0.301194, 11.023176], "V": "<1e-10", "|∇V|": "<1e-10", "gravitino m² − sort(d²/2 ×2)": "<1e-09", "lowest 12·Hessian": "<1e-09", "m/m_heaviest for d₁, d₂, d₃ vs e^{−7t}, e^{−8t}, e^{−9t}": "<1e-12"}, "dual t = 0.3": {"d reachable (Π d = 1, χ-solve residual)": "<1e-12", "V": "<1e-10", "|∇V|": "<1e-10", "gravitino m² − sort(d²/2 ×2)": "<1e-09", "lowest 12·Hessian": "<1e-09"}}}
  Q3_golden_line               {"‖Y‖ − 2√3; distance of Y from span{D56, D_sol}; relative projection": ["<1e-12", 3.196732, 0.385239], "n = 3: 2m² of the eight-fold levels vs φ^{−6}, φ^{6}": ["<1e-12", "<1e-12"], "golden line": {"n = 0": {"V": "<1e-10", "|∇V|": "<1e-10", "scalar inertia (+, −, 0)": [22, 0, 48], "lowest − 4(1 − C)": "<1e-09", "spin-½ m² vs lane formula (max relative)": "<1e-09", "spin-½ m² levels": {"0.5": 40, "4.5": 8}}, "n = 1": {"V": "<1e-10", "|∇V|": "<1e-10", "scalar inertia (+, −, 0)": [38, 2, 30], "lowest − 4(1 − C)": "<1e-09", "spin-½ m² vs lane formula (max relative)": "<1e-09", "spin-½ m² levels": {"0.388932": 8, "0.625": 16, "1.125": 16, "4.861068": 8}}, "n = 2": {"V": "<1e-10", "|∇V|": "<1e-10", "scalar inertia (+, −, 0)": [38, 2, 30], "lowest − 4(1 − C)": "<1e-09", "spin-½ m² vs lane formula (max relative)": "<1e-09", "spin-½ m² levels": {"0.125": 8, "1.125": 16, "3.625": 16, "6.125": 8}}, "n = 3": {"V": "<1e-10", "|∇V|": "<1e-10", "scalar inertia (+, −, 0)": [38, 2, 30], "lowest − 4(1 − C)": "<1e-09", "spin-½ m² vs lane formula (max relative)": "<1e-09", "spin-½ m² levels": {"0.027864": 8, "2.5": 16, "8.972136": 8, "10.5": 16}}}}
  receipt   PASS filed_d1414_house_frames_npz
  receipt   PASS filed_chatgpt_d1414_maps_npz
  receipt   PASS filed_chatgpt_d1417_maps_npz
  receipt   PASS s1281_results_spin_half_machinery
  receipt   PASS s1279_results_jet_and_golden_line
  computed  PASS Q1_the_lane_radius_functions_equal_the_house_closed_forms_the_shift_norms_are_s2_over_8_and_48_minus_3s2_over_4_and_no_common_fixed_vector
  computed  PASS Q2_the_lane_four_form_generators_are_noncompact_commuting_e7_elements_splitting_X_and_the_branch_is_flat_tachyon_free_with_gravitino_pairs_d2_over_2
  computed  PASS Q3_the_golden_line_has_inertia_38_2_30_off_o_and_its_physical_spin_half_spectrum_is_the_lane_formula_with_phi_minus6_and_phi6_at_the_third_rung
  argument  ARG  reading
  argument  ARG  scope
VERDICT: the lane's derived radius functions are the house closed forms; shift norms s²/8 and 48 − 3s²/4; no common fixed vector; the lane's four-form branch is flat and tachyon-free at the sampled points with unequal gravitino pairs d²/2 (triple path included); the golden line is a flat saddle line (38 / 2 / 30) whose spin-½ spectrum gives φ^{∓6} at t = 3 ln φ.
RESULT_HASH 447cf863de0236ed
s1282: 3 computed, 5 receipt, 2 argument, 0 failed
