s1335 — Wind_ev tightened
  N1_unitary                 {"unitarity": "<1e-12", "eig_modulus_minus_1": "<1e-12", "words": 60}
  N2_lift_of_g               {"word": ["s1", "s1", "s2^-1", "s1^-1"], "burau_t_minus_1_equals": "+1 g", "homology_trace": 3, "F_phi_block_eig_moduli": [1.0, 1.0], "F_phi_block_trace": [0.381966011, "<1e-12"], "resultant_abs": 6.854101966}
  N3_dimension_reading       {"trq_id_equals_phi_N_N_le_12": true, "multiplicative": true, "ring_characters_of_K0": [-0.61803398875, 1.61803398875], "positive_on_tau": [false, true]}
  N4_meeting_point           {"spectral_radius_g_n_vs_FPdim_2n": [[0, 1.0, 1.0], [1, 2.618034, 2.618034], [2, 6.854102, 6.854102], [3, 17.944272, 17.944272], [4, 46.978714, 46.978714], [5, 122.991869, 122.991869], [6, 321.996894, 321.996894]], "equal": true}
  U1_RF_braiding_vs_skein    "<1e-12"
  U2_tangle_relations        {"zigzag": "<1e-12", "loop_phi": "<1e-12", "RII": "<1e-12", "RIII": "<1e-12", "cup_slides": "<1e-12", "cap_slides": "<1e-12", "kinks": {"left_+1": [-0.809016994375, 0.587785252292], "right_+1": [-0.809016994375, 0.587785252292], "left_-1": [-0.809016994375, -0.587785252292], "right_-1": [-0.809016994375, -0.587785252292]}, "kinks_scalar": "<1e-12", "theta": [-0.809016994375, 0.587785252292]}
  U3_JW_in_the_planar_part   {"f2": {"diagrams": 2, "norm_coeffs": 1.175570505, "idempotent": "<1e-12", "markov_trace": 1.61803398875, "q_N_plus_1": 1.61803398875, "F_phi_norm": "1.00e+00"}, "f3": {"diagrams": 5, "norm_coeffs": 1.940085571, "idempotent": "<1e-12", "markov_trace": 1.0, "q_N_plus_1": 1.0, "F_phi_norm": "1.00e+00"}, "f4": {"diagrams": 14, "norm_coeffs": 6.217111535, "idempotent": "<1e-12", "markov_trace": "<1e-12", "q_N_plus_1": "<1e-12", "F_phi_norm": "<1e-12"}}
  receipt   PASS source_s1334_kernel_py
  receipt   PASS source_A1349_md
  receipt   PASS source_s706_a1349_verification_py
  computed  PASS N1_F_phi_is_unitary_on_every_sampled_braid_word_all_eigenvalues_on_the_unit_circle
  computed  PASS N2_the_B3_lift_of_T3S_is_hyperbolic_in_homology_and_elliptic_under_F_phi_resultant_nonzero
  computed  PASS N3_FPdim_of_tau_N_is_phi_N_multiplicative_and_the_unique_positive_character_so_D_N_is_the_dimension_for_every_N
  computed  PASS N4_spectral_radius_of_g_n_equals_FPdim_of_2n_strands
  computed  PASS U1_the_braiding_built_from_E3_R_F_data_alone_equals_A_plus_Ainv_e_on_every_path_space_N_le_6
  computed  PASS U2_F_phi_satisfies_Turaev_framed_tangle_relations_zigzag_loop_RII_RIII_slides_and_both_kinks_are_theta_pm1
  computed  PASS U3_f4_is_a_nonzero_idempotent_of_planar_TL4_at_delta_phi_with_Markov_trace_q5_zero_and_F_phi_kills_it
  argument  ARG  theorem_N
  argument  ARG  dimension_reading
  argument  ARG  choice_reduction
  argument  ARG  correction
  argument  ARG  recommendation
VERDICT: E1's mass grade meets the strand count only as the Frobenius–Perron dimension (braid-level identification impossible: F_φ is unitary); under the PI's reading D_N = dimension, no parity issue. The initial realisation of E2–E4 is the framed tangle category T_δ; the only genuine choice left is C1 (W ↦ N). s1334's C3 typing corrected (S392.9).
RESULT_HASH 9a96c2f6bfa68c64
s1335: 7 computed, 3 receipt, 5 argument, 0 failed
