s1227 — the clock operator table
receipts {'s392': '080c41acaddfa525', 's381_original': 'd0be03c3ea061389', 'bein': '8075f28d77773d13', 'vacuum': 'fca4c0c6c2c92a78', 'substrate': '43341215b5224b20', 's1214_source': 'e13c9d8cbe232525', 's1226': '6490507fc2b6c711'}
op    Omega    square  H      Phi       J0(charge) eps kept    tip plane cubic    role
J0    +        -I      -      -         +          13/13       kept      [1.0]    internal (no C, no T)
-J0   +        -I      -      -         +          13/13       kept      [1.0]    internal (no C, no T)
P     -        +I      +      -         -          0/13        kept      [1.0]    CT-type
-P    -        +I      +      -         -          0/13        kept      [1.0]    CT-type
J0P   -        +I      -      +         -          0/13        kept      [1.0]    CT-type
-J0P  -        +I      -      +         -          0/13        kept      [1.0]    CT-type
C0    -        +I      +      neither   -          0/13        kept      [1.0]    CT-type
  computed  PASS J0_equals_Omega_and_metric_is_identity
  computed  PASS P_is_the_A1759_parity_and_its_real_realisation
  computed  PASS J0_is_the_image_of_the_SU8_centre_element
  computed  PASS group_J0_P_is_dihedral_of_order_8
  computed  PASS X1_J0_unitary_type_flips_ray_and_H_keeps_charge_and_arrow
  computed  PASS X2_P_antiunitary_type_flips_ray_charge_arrow_and_fixes_H
  computed  PASS X3_J0P_antiunitary_type_ray_even_flips_charge_and_arrow
  computed  PASS X4_C0_antisymplectic_H_fixed_ray_not_preserved_flips_charge_and_arrow
  computed  PASS all_operators_normalise_e7
  computed  PASS X5_dihedral_split_symplectic_keep_antisymplectic_flip
  computed  PASS X7_bridge_relation_covariant_on_every_transported_seed
  computed  PASS anchor_relation_on_transported_seeds_where_the_tip_plane_is_kept
  argument  ARG  S378_4_transported_cubic_is_orthogonally_invariant
  computed  PASS fixed_anchor_cubic_flips_for_H_fixing_antisymplectic_ops_and_eps_eq_sign_a_survives
  computed  PASS X6_LEMMA_charge_flip_iff_antisymplectic_iff_arrow_flip_on_random_coset_elements
  computed  PASS LEMMA_negative_control_the_swapped_rule_fails
  computed  PASS no_C_type_and_no_T_type_among_the_tabled_operators
  argument  ARG  headline
  argument  ARG  the_ray
  argument  ARG  limits

VERDICT clock operator table: ⟨J0,P⟩ dihedral of order 8; J0 = internal (no C, no T); P = CT-type; J0P = CT-type; C0 = CT-type; lemma (charge-flip ⇔ anti-symplectic ⇔ arrow-flip) holds on 24/24 random coset elements; no C-type or T-type element
RESULT_HASH 3b0ac1cf836559c2
s1227: 16 computed PASS-able, 4 argument, 0 failed
