s1298 — house checks of A1783 (the Wyler linkage check)
  W1_so52_in_the_gauge_algebra       {"max |Aᵀη + ηA|": "<1e-15", "gauge algebra dim (span X_M)": 28, "max residual of ρ(A) off span{X_M}": "<1e-12", "max |δ_X ρ(A)|": "<1e-12", "dim span": 21, "max closure residual": "<1e-12", "compact / noncompact": [11, 10], "trace-form inertia (+, −)": [10, 11]}
  W2_the_so2_is_Z                    {"min ‖Z ∓ ρ(A₆₇)‖ (orientation-free)": "<1e-12", "max ‖ad(Z)²P + P‖ (ten noncompact)": "<1e-12"}
  W3_pure_gauge                      {"gauge-orbit tangent dim at o": 12, "max relative residual of the ten noncompact parts off it": "<1e-12"}
  W4_W5_no_selector_and_Z_is_not_K   {"‖Σ_{so(6)} AᵀA − 5I‖": "<1e-15", "rank Z, rank K": [24, 56]}
  W6_the_s1294_branch                {"fixed algebra of Ad(r₅) dim": 21, "‖span(lane 21) − fixed algebra‖ (projectors)": "<1e-12", "‖r₅ Z₈ r₅ − Z₈‖": "<1e-15"}
  W7_CODATA_gap                      {"1/α_W": "137.036082448164", "CODATA 2022 1/α (NIST, fetched S389)": "137.035999177 ± 0.000000021", "gap": "8.327116e-05", "ppm": "0.607659", "gap / u": "3965.29"}
  receipt   PASS filed_d1414_house_frames_npz
  receipt   PASS filed_chatgpt_d1414_maps_npz
  receipt   PASS filed_chatgpt_d1417_maps_npz
  receipt   PASS filed_chatgpt_d1405_maps_npz
  receipt   PASS s1283_results_construction_and_machinery
  receipt   PASS s1284_results_face_and_twist_definitions
  receipt   PASS s1286_results_neutral_count_machinery
  receipt   PASS s1290_results_kinetic_matrix_machinery
  receipt   PASS s1291_results_period_matrix
  receipt   PASS s1292_results_truncation_content
  receipt   PASS s1293_results_machinery_and_literature_forms
  computed  PASS W1_the_lane_so52_lies_in_the_registered_gauge_algebra_preserves_X_closes_and_has_inertia_10_11
  computed  PASS W2_the_compact_so2_is_the_registered_Z_and_adZ_is_the_complex_structure_on_the_ten_noncompact_directions
  computed  PASS W3_the_ten_domain_directions_are_gauge_orbit_directions_at_o
  computed  PASS W4_the_unbroken_so6_fixes_no_positive_axis
  computed  PASS W5_rank_Z_24_and_rank_K_56_exclude_conjugacy
  computed  PASS W6_the_lane_so52_is_the_fixed_algebra_of_reflecting_positive_axis_5_the_s1294_branch_that_keeps_Z
  computed  PASS W7_Wyler_misses_CODATA_2022_by_0_6077_ppm_or_about_3965_standard_uncertainties
  argument  ARG  reading
  argument  ARG  scope
VERDICT: A1783 confirmed where checkable in house — an explicit so(5,2) in the gauge algebra, preserving X, with Z as its so(2); its domain directions are pure gauge and no registered object selects it; Z is not K; Wyler's number misses CODATA 2022 by 0.6077 ppm.
RESULT_HASH cbcafb00bf858f22
s1298: 7 computed, 11 receipt, 2 argument, 0 failed
