s1341 — the s748 scale class on T_δ
  control_A1347_lattice      {"dim_H2_Z2_x_bothflip": 1, "dim_H2_Z2_x_singleflip": 0, "s741_filed": {"dim_H2_G_R": 1, "wedge2_dims_n234": {"2": 1, "3": 3, "4": 6}}, "wedge2_dims_n234": {"2": 1, "3": 3, "4": 6}}
  a_fib_universal_grading    {"U_order": 1, "adjoint_subcategory": ["1", "t"], "free_rank": 0}
  c_picard                   {"X_invertible": false, "dim_End_X_tensor_X": 2, "free_rank": 0}
  d_framing                  {"free_rank_in_T_delta": 1, "note": "in T_δ the framing number of a kink is a free ℤ (the twist is a scalar on End(X)); in the Fibonacci image it is ℤ/5", "order_in_F_phi_image": 5, "theta": [-0.809016994375, 0.587785252292]}
  count_on_T_delta           {"C_nT_2": 0, "dim_H2": 0, "n_T": 1}
  b_strand_grading           parity_only=True catalan=True
  receipt   PASS filed_s741_results_json
  receipt   PASS filed_s748_results_json
  computed  PASS R0_the_s748_card_states_dim_H2_C22_1
  computed  PASS C1_CONTROL_the_census_on_Z2_with_the_bothflip_returns_1_and_the_wedge2_dims_equal_s741
  computed  PASS A_the_Fibonacci_universal_grading_group_is_trivial
  computed  PASS B_T_delta_Hom_spaces_are_Catalan_and_vanish_exactly_on_odd_parity
  computed  PASS C_X_is_not_invertible_End_of_XX_has_dim_2_so_the_Picard_group_is_trivial
  computed  PASS D_theta_is_e_4pi_i_over_5_of_order_5_in_the_image
  computed  PASS E_T_delta_carries_free_translation_rank_at_most_1_so_no_area_class
  argument  ARG  what_this_says
  argument  ARG  what_is_not_done
VERDICT: T_δ carries free translation rank 1 ⇒ dim H² = 0; the s748 "one scale class" is a statement about A1347's two-cylinder lattice (control 1 == s741).
RESULT_HASH 8b30ffc96b730e66
s1341: 7 computed, 2 receipt, 2 argument, 0 failed
