s1334 — Wind_ev presented
  W12_parameter    {"e^{2pi i/5}": {"delta_is_phi": true, "reproduces_E3_R1_Rtau": false}, "e^{-2pi i/5}": {"delta_is_phi": true, "reproduces_E3_R1_Rtau": false}, "e^{3pi i/5}": {"delta_is_phi": true, "reproduces_E3_R1_Rtau": true}, "e^{-3pi i/5}": {"delta_is_phi": true, "reproduces_E3_R1_Rtau": false}}
  W1_relations     {"loop": "<1e-12", "zigzag": "<1e-12"}
  W2_consequences  {"inverse": "<1e-12", "YB": "<1e-12", "far": "<1e-12", "naturality_RII_with_cup": "<1e-12"}
  W3_E3            {"basis": [[0, 1, 0, 1], [0, 1, 1, 1]], "sigma1_vs_s1": "<1e-12", "sigma2_vs_s2": "<1e-12"}
  W4_dagger        "<1e-12"
  W5_monoidal      {"ext_residual": "<1e-12", "K0_of_tensor_tau_is_N_tau": true, "N_tau": [[0, 1], [1, 1]]}
  W6_JW            {"q_5_at_phi": "<1e-12", "tr_f1": 1.61803398875, "idempotent_f1": "<1e-12", "tr_f2": 1.61803398875, "idempotent_f2": "<1e-12", "tr_f3": 1.0, "idempotent_f3": "<1e-12", "F_f4": "<1e-12"}
  W7_kernel        {"N4": {"catalan": 14, "rank_F": 13, "sum_path_sq": 13, "ker_dim": 1, "ideal_f4_dim": 1, "ideal_in_ker": "<1e-10", "rank_gap": "5.64e-01 / <1e-12", "F_is_hom_on_generators": "<1e-10"}, "N5": {"catalan": 42, "rank_F": 34, "sum_path_sq": 34, "ker_dim": 8, "ideal_f4_dim": 8, "ideal_in_ker": "<1e-10", "rank_gap": "5.65e-01 / <1e-12", "F_is_hom_on_generators": "<1e-10"}, "N6": {"catalan": 132, "rank_F": 89, "sum_path_sq": 89, "ker_dim": 43, "ideal_f4_dim": 43, "ideal_in_ker": "<1e-10", "rank_gap": "4.32e-01 / <1e-12", "F_is_hom_on_generators": "<1e-10"}}
  W8_mirror        {"norm_R_minus_Rinv": 2.2360679775, "sqrt5": 2.2360679775, "covariant_antilinear_mirror_vs_dagger_on_sigma1_sigma2": 1.798907439948, "covariant_mirror_is_a_functor_conj_s1_s2": "<1e-12"}
  W9_markov        {"max_residual_40_words": "<1e-12", "theta": [-0.809016994375, 0.587785252292], "figure8_trace_over_delta": -1.2360679775, "minus_2_over_phi": -1.2360679775, "figure8_imag": "<1e-12"}
  W10_K0_ladder    {"g_T3S": [[3, -1], [1, 0]], "N_tau_sq": [[1, 1], [1, 2]], "abs_spec_equals_D_N_all_N_0_12": true, "signed_spec_equals_D_N_even_N": true, "odd_N_det_minus_1_never_D_N": true, "GL2Z_conjugator_P_with_P_Ntau2_eq_g_P": [[-2, -3], [-1, -1]]}
  W11_mu20         {"R1_nu_power": [12], "Rtau_nu_power": [6], "theta_nu_power": [8]}
  receipt   PASS source_D1051_chatgpt_A1347_raw_md
  receipt   PASS source_A1349_md
  receipt   PASS source_s706_a1349_verification_py
  receipt   PASS source_p9_nuclear_cluster_tier_tex
  computed  PASS P0_at_A_e3pi_i_over_5_delta_is_phi_vacuum_channel_eigenvalue_is_R1_and_twist_is_e4pi_i_over_5
  computed  PASS W12_of_the_four_A_with_delta_phi_only_e3pi_i_over_5_reproduces_E3
  computed  PASS W1_zigzag_and_loop_phi_hold_under_F_phi_at_every_position_N_le_6
  computed  PASS W2_skein_braiding_is_invertible_Yang_Baxter_far_commuting_and_natural
  computed  PASS W3_F_phi_of_sigma1_sigma2_on_Hom_tau_tau3_equal_E3_s1_s2
  computed  PASS W4_F_phi_intertwines_the_mirror_dagger_with_conjugate_transpose
  computed  PASS W5_U_M_is_the_endofunctor_tensor_1_and_F_phi_carries_it_to_tensor_tau_with_K0_matrix_N_tau
  computed  PASS W6_q5_vanishes_at_phi_F_phi_of_f4_is_zero_and_f1_f2_f3_are_idempotents_of_trace_q2_q3_q4
  computed  PASS W7_ker_F_phi_on_TL_N_is_the_ideal_generated_by_f4_N_4_5_6
  computed  PASS W8_mirror_as_a_morphism_relation_kills_F_phi_norm_R_minus_Rinv_root5_and_variance_matters
  computed  PASS W9_framed_Markov_moves_hold_on_the_trace_and_the_figure8_closure_is_minus_2_over_phi
  computed  PASS W10_K0_of_U_M_meets_E1_D_N_in_absolute_spectrum_signed_only_for_even_N_and_N_tau_squared_is_GL2Z_conjugate_to_T3S
  computed  PASS W11_F_phi_braiding_eigenvalues_and_twist_lie_in_mu20_nu12_nu6_nu8
  argument  ARG  presentation_and_choices
  argument  ARG  mirror_theorem
  argument  ARG  kernel
  argument  ARG  not_presented
  argument  ARG  reading
VERDICT: Wind_ev PRESENTED as a construction — the Kauffman skein category on one framed self-dual strand, mirror = dagger, U_M = (−)⊗[1]; F_φ (A = e^{3πi/5}) holds on generators and relations, reproduces E3, and its kernel through six strands is the ideal of f₄. The record still does not determine Wind_ev; Π_ev and the §7 two-cell are not presented.
RESULT_HASH b934b74523c5da6a
s1334: 13 computed, 0 symbolic, 4 receipt, 5 argument, 0 failed
