s1251 — house checks of A1769: golden bridge, conjugators, shells, the old swap, finite orders, fields
  omega                {'compact_dim': 63, 'Omega_rank': 56}
  golden               {'G_closed_form_rel': '<1e-12', 'exp_lnphi_G_minus_Hphi_rel': '<1e-12', 'G_in_e7_rel': '<1e-12', 'G_spectrum': [(-1.0, 12), (0.0, 32), (1.0, 12)], 'ad_pattern': [(-2.0, 1), (-1.0, 32), (0.0, 67), (1.0, 32), (2.0, 1)]}
  conjugators          {'Z': {'C G C^-1 - i target': '<1e-11', 'C^T Om C - Om': '<1e-11', 'max e7 normaliser residual': '<1e-10'}, 'T1': {'C G C^-1 - i target': '<1e-11', 'C^T Om C - Om': '<1e-11', 'max e7 normaliser residual': '<1e-10'}, 'T2': {'C G C^-1 - i target': '<1e-11', 'C^T Om C - Om': '<1e-11', 'max e7 normaliser residual': '<1e-10'}, 'T3': {'C G C^-1 - i target': '<1e-11', 'C^T Om C - Om': '<1e-11', 'max e7 normaliser residual': '<1e-10'}, 'T4': {'C G C^-1 - i target': '<1e-11', 'C^T Om C - Om': '<1e-11', 'max e7 normaliser residual': '<1e-10'}}
  shells               {'4': {'dim': 27, 'Z_charges': [(-1.0, 6), (0.0, 15), (1.0, 6)], 'max_real': '<1e-09', 'charged_dim': 12, 'span_gap_to_x': '<1e-09'}, '-4': {'dim': 27, 'Z_charges': [(-1.0, 6), (0.0, 15), (1.0, 6)], 'max_real': '<1e-09', 'charged_dim': 12, 'span_gap_to_x': '<1e-09'}}
  commutators_abs_rel  {'D56': (17.527122, 0.130744), 'Z': (7.899367, 0.204124), 'K': (11.777632, 0.175711), 'T1': (5.585696, 0.144338), 'T2': (5.585696, 0.144338), 'T3': (5.585696, 0.144338), 'T4': (5.585696, 0.144338)}
  old_swap             {'T^2+I': '<1e-10', 'symplectic_rel': '<1e-12', 'max_e7_normaliser_residual': 1.0}
  traces               {'H_phi': 58.83281573, 'W_h': 68.0}
  finite               {'trace_Z_quarter_powers': [56.0, 32.0, 8.0, 32.0], 'trace_T_powers': [56.0, 0.0, -56.0, 0.0], 'T^2+I': '<1e-10', 'invariant_dims_8_L38': {'Z_quarter': (0, 0), 'K_half': (0, 0), 'T_quarter(=K at pi/2)': (0, 0)}}
  fields               {'minpoly_phi^-12': 'x**2 - 322*x + 1', 'L105': '8784200221406821330636', 'x16_poly_irreducible': True, 'deg_zeta60': 16, 'deg_zeta120': 32, 'sqrt_d_in_Q_zeta60': {'2': False, '3': True, '5': True, '6': False}}
  receipt   PASS filed_d1409_generators_npz
  receipt   PASS filed_D1200_A1512_ARTIFACTS_npz
  receipt   PASS filed_chatgpt_d1409_maps_npz
  receipt   PASS the_lane_program_is_the_filed_one
  computed  PASS H0_the_compact_span_is_63_dimensional_e7_closes_and_the_lanes_Omega_is_a_nondegenerate_e7_invariant_symplectic_form
  computed  PASS H1_the_golden_bridge_is_exp_of_ln_phi_times_the_boost_G_and_G_lies_in_e7_of_the_s1250_frame_with_the_ad_pattern_of_Z_and_T_a
  computed  PASS H2_the_lanes_five_conjugators_are_in_E7_C_and_carry_G_to_iZ_and_to_each_iT_a
  computed  PASS H3_both_D56_4_shells_are_15_plus_6_plus_6_under_Z_the_charged_halves_are_the_nilpotent_gauge_halves_and_G_commutes_with_none_of_D56_Z_K_T_a
  computed  PASS H4_T_phi_is_a_symplectic_square_root_of_minus_one_outside_the_normaliser_of_e7_and_H_phi_has_irrational_trace
  computed  PASS H5_the_two_order_four_actions_are_distinguished_by_their_power_traces_and_the_finite_fermion_lifts_have_no_invariants_on_8_or_Lambda3_8
  computed  PASS H6_the_field_facts_of_the_census_hold
  argument  ARG  omega_unique_by_schur
  argument  ARG  scope_complex_not_real
  argument  ARG  the_cartan_sign
RESULT_HASH a95dd043d514ef1e
s1251: 7 computed, 4 receipt, 3 argument, 0 failed
