s1252 — house checks of A1770: the pointed solder, the census in the right frame, the clock, the dual cone, the spin factor, the twist
  intertwiner      {'block_form': '<1e-12', 'h6_orthogonal': '<1e-12', 'det_h6': 1.0, 'so6_in_gauge_levi': '<1e-12', 'symplectic': '<1e-12', 'commutes_D56': '<1e-12', 'commutes_Z': '<1e-12', 'e7_normaliser': '<1e-10', 'gauge_normaliser': '<1e-10', 'dim(g P_ij ∩ eight_k)': [0, 8, 0, 8, 0, 0, 0, 0, 8], 'dim(g f-span ∩ complement)': 3}
  isotope          {'N(c)': 1.0, 'c∘c⁻¹ − 1': '<1e-12', 'c⁻¹ vs lane': '<1e-12', 'isotope vs lane': '<1e-12', 'idempotent residual': '<1e-12', 'sum − c': '<1e-12', 'spec L_f′': [[(0.0, 10), (0.5, 16), (1.0, 1)], [(0.0, 10), (0.5, 16), (1.0, 1)], [(0.0, 10), (0.5, 16), (1.0, 1)]], 'cycle lifts to the Albert coords': '<1e-12', 'cycle f′_i → f′_{i+1}': '<1e-11', 'cycle automorphism of ∘_c': '<1e-12'}
  census           {'transports': 1440, 'P_ij ∩ eight_k histograms': {'P12/eight1': {0: 1440}, 'P12/eight2': {0: 576, 2: 768, 6: 96}, 'P12/eight3': {0: 1440}, 'P13/eight1': {0: 1440}, 'P13/eight2': {0: 576, 2: 768, 6: 96}, 'P13/eight3': {0: 1440}, 'P23/eight1': {0: 1440}, 'P23/eight2': {0: 576, 2: 768, 6: 96}, 'P23/eight3': {0: 1440}}, 'diagonal ∩ eights (sum)': 0, 'raw-frame projected eights: total intersection dimension (reported)': 31104, "UNPROJECTED eights (probe5's object): total intersection dimension": 0}
  clock            {'brackets': ['<1e-12', '<1e-12', '<1e-12'], 'trace form − 72diag(1,1,−1)': '<1e-09', 'Casimir H²+S²−K²': [(3.0, 52), (15.0, 4)], 'commutant dim in e7': 52, 'O on (H,S,K)': [[-1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, -1.0]], 'T on (H,S,K)': [[-1.0, 0.0, -0.0], [-0.0, -1.0, -0.0], [0.0, 0.0, 1.0]], 'gauge-normaliser O / T / C56': ['<1e-10', 0.872192, '<1e-10']}
  dual             {'BᵀΩB⁺ − Tr₂': '<1e-12', 'D56·B⁺ − 2B⁺': '<1e-12', 'O·B − B⁺𝒫': '<1e-12', 'N(𝒫x) + N(x) rel': '<1e-12'}
  spin_factor      {'½N(f3,ι,ι)': [[1.0, 0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, -1.0, 0.0], [0.0, 0.0, 0.0, -1.0]], 'trace pairing': [[2.0, 0.0, 0.0, 0.0], [0.0, 2.0, 0.0, 0.0], [0.0, 0.0, 2.0, 0.0], [0.0, 0.0, 0.0, 2.0]]}
  twist_blindness  {'symplectic': '<1e-12', 'commutes D56': '<1e-12', 'e7-normaliser': '<1e-10', '‖Z·g*·B_diag‖': 0.4, '‖Z·B_diag‖ (control)': '<1e-12'}
  receipt   PASS filed_d1410_solder_npz
  receipt   PASS filed_d1409_generators_npz
  receipt   PASS filed_chatgpt_d1410_maps_npz
  receipt   PASS filed_chatgpt_d1406_maps_npz
  receipt   PASS the_lane_program_is_the_filed_one
  computed  PASS K1_the_lanes_g56_is_a_compact_gauge_SO6_rotation_commuting_with_D56_and_Z_carrying_P12_P13_P23_onto_eights_2_1_3_and_the_diagonal_onto_their_complement
  computed  PASS K2_c_has_norm_one_the_house_c_isotope_equals_the_lanes_its_three_idempotents_frame_c_and_the_registered_cycle_permutes_them_as_an_automorphism
  computed  PASS K3_the_census_with_the_projected_eights_in_the_house_frame_reproduces_the_lanes_histogram_and_the_unprojected_eights_meet_nothing
  computed  PASS K4_the_clock_is_split_sl2_with_56_equal_Sym3_plus_26_copies_of_R2_its_commutant_has_dim_52_O_flips_end_and_nappe_T_flips_the_end_only_and_is_not_a_gauge_symmetry
  computed  PASS K5_the_lanes_dual_solder_pairs_to_the_trace_form_and_O_maps_B_to_B_dual_times_minus_diag_I3_eta_eta_eta_which_negates_the_cubic
  computed  PASS K6_the_lanes_J2_C_inclusion_has_Jordan_determinant_diag_1_minus1_minus1_minus1_and_trace_pairing_2I
  computed  PASS K7_an_element_of_the_D56_centraliser_spoils_the_twists_blindness_to_the_three_diagonal_slots
  argument  ARG  no_so31_through_the_clock
  argument  ARG  end_and_nappe
  argument  ARG  scope
RESULT_HASH 210b83a27c965af5
s1252: 7 computed, 5 receipt, 3 argument, 0 failed
