s1301 — house checks of A1784
  L1_coherent_symbol   {"ν = 1": {"max |⟨w;ν|w;ν⟩ − 1|": "<1e-12", "max |⟨f̂_q⟩ − ½qᵀgq|": "<1e-12"}, "ν = 3": {"max |⟨w;ν|w;ν⟩ − 1|": "<1e-12", "max |⟨f̂_q⟩ − ½qᵀgq|": "<1e-12"}}
  L2_berezin_factor    {"ν = 4, z = 0j": "<1e-06", "ν = 4, z = (0.3+0.2j)": "<1e-06", "ν = 6, z = 0j": "<1e-06", "ν = 6, z = (0.3+0.2j)": "<1e-06"}
  L3_gram              {"Gram at (0, ½)": [["1", "1"], ["1", "3/4"]], "det": "-1/4"}
  L4_weight            {"w² coefficient of the image": "-A*nu - A", "ν keeping degree ≤ 1": ["-1"]}
  L5_cutoff            {"I₋₁(η)": "-pi/2 + pi/(2*eta**2)", "limit η → 0⁺": "oo"}
  receipt   PASS filed_A1784_lane_printed_output
  receipt   PASS s1299_results_hodge_norm_per_factor
  computed  PASS L1_the_lane_coherent_states_reproduce_the_hodge_norm_as_a_lower_symbol_at_nu_1_and_3
  computed  PASS L2_the_normalised_berezin_average_of_the_hodge_symbol_is_nu_over_nu_minus_2_times_it
  computed  PASS L3_the_continued_kernel_one_minus_w_zbar_has_a_negative_gram_determinant
  computed  PASS L4_the_degree_le_1_polynomials_are_invariant_only_at_nu_minus_1
  symbolic  PASS L5_the_cutoff_integral_at_nu_minus_1_is_pi_over_2_times_eta_to_minus_2_minus_1
  argument  ARG  normalisation_cancels
  argument  ARG  reading
VERDICT: A1784 confirmed where checkable in house — ν = −1 (unique), divergent positive norm and indefinite continued kernel at the charges' weight; the Hodge norm is a coherent-state lower symbol at ν = 1 and 3; the Berezin factor ν/(ν − 2) holds off the centre. No volume constant survives normalisation.
RESULT_HASH 1fddf94a5e5d6079
s1301: 4 computed, 1 symbolic, 2 receipt, 2 argument, 0 failed
