{
 "kernel": "s1176",
 "session": "S341",
 "row": "REV32.9 S303.7",
 "L_vac_27_multiplicities": [
  1,
  8,
  1,
  8,
  8,
  1
 ],
 "L_vac_27_values": [
  0.618033989,
  0.809016994,
  1.0,
  1.118033989,
  1.309016994,
  1.618033989
 ],
 "H_56_multiplicities": [
  1,
  27,
  27,
  1
 ],
 "H_56_values": [
  -3.0,
  -1.0,
  1.0,
  3.0
 ],
 "L_vac_odd_blocks": 3,
 "H_odd_blocks": 4,
 "L_vac_max_even_subcarrier": 24,
 "H_max_even_subcarrier": 52,
 "gates": {
  "G1_dim27": true,
  "G2_dim56": true,
  "G3_L_vac_has_odd_block": true,
  "G4_H_all_blocks_odd": true,
  "G5_lemma_positive_control": true,
  "G6_lemma_negative_control": true
 },
 "all_pass": true,
 "verdict": "NO_GLOBAL_J: no real J with J^2=-I commutes with L_vac on the full 27 or with H on the full 56; an even-dimensional invariant subcarrier is at most 24 of 27 and 52 of 56 (parity bounds; they do not select)."
}
