s1255 — house checks of A1772: polarization, inertias, modules, cone, quartic, Clifford, antiunitary sign, line, fermions
  polarization  {"J + Ω": "<1e-12", "ΩJ − I": "<1e-12", "lane J − house J": "<1e-12"}
  forms         {"inertia ΩK": [26, 30, 0], "inertia ΩZ": [12, 12, 32], "inertia ΩT_a": [[12, 12, 32], [12, 12, 32], [12, 12, 32], [12, 12, 32]], "h_K spectrum": [[-1.0, 15], [1.0, 12], [3.0, 1]], "h_Z spectrum": [[-1.0, 6], [0.0, 16], [1.0, 6]], "hermiticity": "<1e-12"}
  modules       {"Levi complex-linear on the 28 (antilinear part)": "<1e-12", "ranks +/−": [13, 15], "house leakage (Frobenius, both projectors)": 1.457435969, "generated module dims": [28, 28], "lane projectors − house": "<1e-10"}
  cone          {"I": [1.0, -1.0, -1.0, -1.0], "O": [-1.0, 1.0, 1.0, 1.0], "C56": [-1.0, 1.0, 1.0, 1.0], "CP": [1.0, -1.0, -1.0, -1.0]}
  cone_checks   {"vs expected": "<1e-12", "vs lane": "<1e-12", "C56 keeps D56": "<1e-12", "O reverses D56": "<1e-12"}
  quartic       {"monomials": 2312, "max rel Lie derivative (lane e7_integer)": "<1e-10", "house S70 generators": "<1e-10", "house compact brackets": "<1e-10", "O-invariance rel": "<1e-10", "α²β² coefficient": 1.0, "CONTROL D56² (not in e7)": 0.110423}
  clifford      {"gamma13 (squares, anticomm residual, span, commutant dim)": [[1.0, -1.0, -1.0, -1.0], 0.0, 16, 4], "gamma31": [[1.0, 1.0, 1.0, -1.0], 0.0, 16, 1]}
  antiunitary   {"U_O·h̄_K·U_O† − h_K": "<1e-12", "U_O unitary": "<1e-12", "lane antiO28 − house": "<1e-12"}
  line          {"-0.8": {"min eig ΩJ_s": 0.567970712, "[J_s, K_s]": "<1e-12", "‖[J_s, K]‖": 3.298015566, "⟨Q_ΩK⟩": "<1e-12", "lane J_s − house": "<1e-10"}, "+0.0": {"min eig ΩJ_s": 1.0, "[J_s, K_s]": "<1e-12", "‖[J_s, K]‖": 0.0, "⟨Q_ΩK⟩": "<1e-12", "lane J_s − house": "<1e-10"}, "+0.8": {"min eig ΩJ_s": 0.567970712, "[J_s, K_s]": "<1e-12", "‖[J_s, K]‖": 3.298015566, "⟨Q_ΩK⟩": "<1e-12", "lane J_s − house": "<1e-10"}}
  fermions      {"k8 hermiticity": "<1e-12", "K on the 8": [[-0.5, 6], [1.5, 2]], "K on Λ³8 (from the 8)": [[-1.5, 20], [0.5, 30], [2.5, 6]]}
  receipt   PASS filed_d1412_house_frames_npz
  receipt   PASS filed_d1410_solder_npz
  receipt   PASS filed_d1409_generators_npz
  receipt   PASS filed_chatgpt_d1410_maps_npz
  receipt   PASS filed_chatgpt_d1412_maps_npz
  receipt   PASS the_lane_program_is_the_filed_one
  receipt   PASS s1253_results_hold_the_golden_eight_grading
  computed  PASS M1_the_shipped_positive_polarization_is_J_equal_minus_Omega
  computed  PASS M2_inertia_of_OmegaK_is_26_30_and_the_clock_frequencies_on_the_28_are_minus1x15_plus1x12_plus3x1
  argument  ARG  no_compatible_positive_polarization_makes_the_clock_positive
  computed  PASS M3_the_13_and_15_frequency_sectors_are_not_invariant_under_the_unbroken_compact_algebra_and_each_generates_the_whole_28
  computed  PASS M4_C56_keeps_the_end_but_flips_the_shell_cone_form_as_O_does_so_the_form_sign_is_not_sigma_epsilon_or_chi
  computed  PASS M5_the_lanes_FTS_quartic_is_E7_invariant_by_the_lanes_and_the_house_generators_O_preserves_it_and_a_non_e7_control_fails
  computed  PASS M6_gamma13_generates_Cl13_as_M2_H_on_R8_and_gamma31_generates_Cl31_as_M4_R_on_R4
  argument  ARG  clifford_reading
  computed  PASS M7_the_antiunitary_O_keeps_the_clock_energy_on_the_polarized_28
  argument  ARG  app_H_antiunitary_sentence
  computed  PASS M8_the_transported_polarization_is_positive_and_commutes_with_the_transported_clock_bare_K_does_not_and_the_Gaussian_clock_mean_is_zero
  computed  PASS M9_the_clock_weights_on_the_fermion_8_and_on_Lambda3_8
  argument  ARG  scope
VERDICT A1772 house-checked: J = −Ω; ΩK (26, 30) and the clock on the 28 is −1 ×15, +1 ×12, +3 ×1 — neither nappe positive; the 13 / 15 sectors are not gauge modules; C56 flips the shell cone form as O does, so the form sign is not σ, ε or χ; the FTS quartic is E7-invariant and O-invariant; Cl(1,3) ≅ M₂(ℍ), Cl(3,1) ≅ M₄(ℝ); the antiunitary O keeps the clock energy (App H :261–264 has the sign wrong); the line polarization is positive; the Gaussian clock mean is zero; the fermion clock weights are as printed.
RESULT_HASH 31317aaca5014f85
s1255: 9 computed, 7 receipt, 4 argument, 0 failed
