s1232 — D56 grades the gauging into four closed pieces; J0·P exchanges them; the spectrum is homothetic along the D56 line
receipts {'s1225': '3a34d719cd256201', 's1221': '223df3ac5e9efa17', 's1220': '516a5537c347cd72', 's121a': 'af01f1b96491c5ac', 'substrate': '43341215b5224b20'}
spectrum at o (m² level: multiplicity):
  scalars    {'0.000000': 48, '2.000000': 20, '8.000000': 2}
  vectors    {'0.000000': 16, '2.000000': 12}
  gravitini  {'0.500000': 8}
  spin_half  {'0.500000': 40, '2.000000': 8, '4.500000': 8}
  receipt   PASS s1225_is_the_filed_evaluator_kernel_executed_head_only
  receipt   PASS s1229_part1_is_the_filed_file_read_for_Z8
  receipt   PASS s1229_part2_is_the_filed_file_read_for_Z8
  receipt   PASS s1220_is_the_filed_kernel_whose_construction_is_copied
  receipt   PASS s121a_is_the_file_whose_potential_is_copied
  computed  PASS the_two_generator_stacks_agree
  computed  PASS golden_vacuum_is_a_Minkowski_critical_point_as_s121a_says
  computed  PASS golden_vacuum_is_2lnphi_from_the_origin
  receipt   PASS s640_lib_is_the_S220_A_layer_executed_verbatim
  receipt   PASS s646_is_the_source_of_the_SV_vector_operator_executed_verbatim
  receipt   PASS s645c_results_hold_the_P6_gradient_reproduced_here
  computed  PASS the_S220_frame_is_this_kernels_frame
  computed  PASS Z1_X_is_the_sum_of_four_pure_D56_weight_pieces
  computed  PASS Z2_J0P_exchanges_e6_with_m6_and_e2_with_m2
  computed  PASS Z3_controls_full_X_closes_and_a_random_tensor_does_not
  computed  PASS Z3_each_weight_piece_closes_alone_and_the_two_equal_weight_pairs_do_not
  computed  PASS Z4_ranks_of_the_gauge_generator_spans
  computed  PASS Z5_unit_D56_direction_is_D56_over_12_root_2
  computed  PASS Z6_dressed_norm_of_X_along_the_line_is_cosh_cubed
  computed  PASS Z7_all_four_spectra_scale_by_cosh_cubed_along_the_D56_line
  computed  PASS Z8_s1229_filed_V1_and_STrM8_follow_the_closed_form
  argument  ARG  closed_form_consequences
  argument  ARG  reading

VERDICT X = e6 + e2 + m6 + m2 with D56-exponents {'e6': 2, 'e2': -6, 'm6': -2, 'm2': 6} and norm² fractions 3/8, 1/8, 3/8, 1/8; J0·P: e6 ↔ m6, e2 ↔ m2; every piece closes alone (ranks e2, m2: 13; e6, m6: 27), the equal-weight pairs e2+m2, e6+m6 do not; Φ_q = D56/(12√2); spectrum homothetic along the D56 line with m² ∝ cosh³(s/(3√2)) (HOLDS); s1229's filed V₁ = V₁(0)·cosh⁶(s/(3√2)) on all 12 points
RESULT_HASH 043522b93484384c
s1232: 13 computed, 8 receipt, 2 argument, 0 failed
