{
 "meta": {
  "date": "2026-07-05",
  "lane": "op3_fk1 (gamma16 OP3)",
  "FK1_def": "FK1(ze) = (ze-1)*(S1-S2), S_k = int_0^1 zb^k K dzb, K = Inner/a1 (paper norm)",
  "word_form": "FK1 = (ze-1) * sum_(w,mu) r_{w,mu}(ze) * W_{w, zb(1-zb)*mu},  W_{w,nu} = int_0^1 nu(zb) [G(t+,w;zb)-G(t-,w;zb)] dzb/sqrt(Q)",
  "coeff_ring": "QQ[c0]*(ze-1), c0 = log(ze/(1-ze)); the 'r' field already includes the global (ze-1)",
  "n_pure_words": 159,
  "letters": "IDENTICAL to S0: elliptic prefixes t+-, rational inner alphabet {0, zb, 1, -zb(1-ze)/ze, (1-ze)zb/(zb-ze)}; NO NEW LETTERS (measure shift is outer-polynomial only)",
  "derivation": "linearity of int_0^1 p(zb) K dzb in the outer weight p, applied to the certified G4 form; (w,mu,r) table re-derived from g4_words.json and matched EXACTLY to s0_words.json (159/159, sympy)",
  "provenance": [
   "symb_g4/g4_words.json (G4 theorem, certified 42-45d, 6 pts)",
   "symb_ell/s0_words.json + S0_WORDS.md (S0 word form, 37d gate)",
   "symb_adj/SYMBOLIC_VERDICT.md section 5 OP3 remark (executed)",
   "op2_prove/{CORE.md,RIDER_A.md,RIDER_B.md,VERIFY.md} (banked exact relations used in second_kind_reduction)"
  ],
  "conventions": "letters/words per symb_g4/g4_words.json (Goncharov)",
  "no_fitted_coefficients": true
 },
 "exact": {
  "measure_split": "zb(1-zb) = -M + ze(2ze-1), M = zb^2-zb+2ze^2-ze (sympy-verified here)",
  "zb2_split": "zb^2 = M + zb - (2ze^2-ze) (sympy-verified here)",
  "Q_M": "Q = M^2 + 4ze^3(1-ze); Q(1-zb) = Q(zb); M(1-zb) = M(zb)",
  "pf_split": "1/(t-t+) - 1/(t-t-) = -sqrt(Q)/D_K (E2, re-asserted)"
 },
 "second_kind_reduction": {
  "statement": "The zb, zb^2 measures introduce exactly ONE second-kind generator: the M-measure. FK1 = (ze-1)*[ ze(2ze-1)*S0 - SM ], SM := sum_(w,mu) r_{w,mu} W_{w, M*mu}. Its bottom layer (pure-period sector) is CLOSED by the banked derived relations below; NO second-kind content beyond their closure appears (SYMBOLIC_VERDICT section 5 OP3 remark CONFIRMED). At word level the M-twisted words remain explicit integrals of the same letter tower (no reduction needed for the word form itself).",
  "banked_relations": {
   "I0": "int_0^1 dzb/sqrtQ = A/3 EXACT (op2_prove CORE corollary + RIDER_A psi_3; A = real period of E'')",
   "I1": "int_0^1 zb dzb/sqrtQ = I0/2 = A/6 EXACT (Q(1-zb)=Q)",
   "sigma_theorem": "J_M = int_0^1 M dzb/sqrtQ = Omega_M/3 + (4ze-1)/3; sigma = J_M - (1/3)int_R(M/sqrtQ-1) - 1 = -(4/3)(1-ze) THEOREM (op2_prove, VERIFIED-CLOSED)",
   "I2": "int_0^1 zb^2 dzb/sqrtQ = Omega_M/3 + (4ze-1)/3 + A/6 - (2ze^2-ze)A/3 (zb^2 split + the above; = E_b/3 block frame, confirmed 1e-32 in S0_WORDS.md section 2)"
  },
  "what_is_NOT_provided": "a closed form for the cycle quasi-period Omega_M itself (E_b) \u2014 the consumer's cycle-level lane, unchanged from OP2 (VERIFY.md FORM GAPS); NOT needed for the FK1 word form or its evaluation."
 },
 "words": [
  {
   "w": "",
   "mu": "Si12",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "",
   "mu": "La3",
   "poly": "zb*(1-zb)",
   "r_S0": "-3/4",
   "r": "3/4 - 3*ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "",
   "mu": "La2",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/2",
   "r": "c0*ze/2 - c0/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "",
   "mu": "l1*La2",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "c0**2/8",
   "r": "c0**2*ze/8 - c0**2/8",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "",
   "mu": "lz*La2",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "",
   "mu": "lz*l1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "",
   "mu": "lz^2*l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/8",
   "r": "1/8 - ze/8",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "",
   "mu": "lz^3",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/24",
   "r": "1/24 - ze/24",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0",
   "mu": "La2",
   "poly": "zb*(1-zb)",
   "r_S0": "1/2",
   "r": "ze/2 - 1/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0",
   "mu": "lz*l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "b",
   "mu": "La2",
   "poly": "zb*(1-zb)",
   "r_S0": "1/2",
   "r": "ze/2 - 1/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "b",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "b",
   "mu": "lz*l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0**2/8",
   "r": "c0**2*ze/8 - c0**2/8",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d",
   "mu": "La2",
   "poly": "zb*(1-zb)",
   "r_S0": "-3/4",
   "r": "3/4 - 3*ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d",
   "mu": "lz*l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d",
   "mu": "lz^2",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/8",
   "r": "1/8 - ze/8",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0**2/8",
   "r": "-c0**2*ze/8 + c0**2/8",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m",
   "mu": "La2",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m",
   "mu": "lz*l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m",
   "mu": "lz^2",
   "poly": "zb*(1-zb)",
   "r_S0": "1/8",
   "r": "ze/8 - 1/8",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0**2/8",
   "r": "-c0**2*ze/8 + c0**2/8",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p",
   "mu": "La2",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p",
   "mu": "lz*l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p",
   "mu": "lz^2",
   "poly": "zb*(1-zb)",
   "r_S0": "1/8",
   "r": "ze/8 - 1/8",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "00",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0b",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0d",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0d",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0m",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0p",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "b0",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bb",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bd",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d0",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d0",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "db",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "db",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "db",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dd",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dm",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dm",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dp",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dp",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m0",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mb",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "md",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "md",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/2",
   "r": "ze/2 - 1/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "md",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mm",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mm",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mp",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mp",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p0",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-c0/4",
   "r": "-c0*ze/4 + c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pb",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "c0/4",
   "r": "c0*ze/4 - c0/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pd",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/2",
   "r": "ze/2 - 1/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pd",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pm",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pm",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pp",
   "mu": "l1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pp",
   "mu": "lz",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0d0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0db",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0dd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/2",
   "r": "ze/2 - 1/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0dm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0dp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0m0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0mb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0md",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0mm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0mp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0p0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0pb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0pd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0pm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "0pp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bd0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bdb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bdd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/2",
   "r": "ze/2 - 1/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bdm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bdp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bm0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bmb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bmd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bmm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bmp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bp0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bpb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bpd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bpm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "bpp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d00",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d0b",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "d0d",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "db0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dbb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dbd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "ddd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "ddm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/2",
   "r": "ze/2 - 1/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "ddp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/2",
   "r": "ze/2 - 1/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dm0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dmb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dmd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "3/4",
   "r": "3*ze/4 - 3/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dmm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dmp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dp0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dpb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dpd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "3/4",
   "r": "3*ze/4 - 3/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dpm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "dpp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/2",
   "r": "1/2 - ze/2",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m00",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m0b",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "m0d",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mb0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mbb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mbd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "md0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mdb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mdm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mdp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mmd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mmm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mmp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mpd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mpm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "mpp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p00",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p0b",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "p0d",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pb0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pbb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pbd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pd0",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pdb",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pdm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pdp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pmd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pmm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "pmp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "ppd",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "-1/4",
   "r": "1/4 - ze/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "ppm",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  },
  {
   "w": "ppp",
   "mu": "1",
   "poly": "zb*(1-zb)",
   "r_S0": "1/4",
   "r": "ze/4 - 1/4",
   "note": "FK1 word: r * W_{w, zb(1-zb)*mu}; equivalently r * (W_{w,zb*mu} - W_{w,zb^2*mu})"
  }
 ],
 "blocks": [
  {
   "mono": [
    2,
    1,
    0,
    0,
    0
   ],
   "mono_str": "L0*L0*L1",
   "coeff": "1/8",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    2,
    0,
    0,
    0,
    0
   ],
   "mono_str": "L0*L0",
   "coeff": "-lz/8",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    1,
    1,
    0,
    0,
    0
   ],
   "mono_str": "L0*L1",
   "coeff": "l1/4",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    1,
    0,
    1,
    0,
    0
   ],
   "mono_str": "L0*Li2",
   "coeff": "1/2",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    1,
    0,
    0,
    0,
    0
   ],
   "mono_str": "L0",
   "coeff": "-La2/2 - l1*lz/4",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    0,
    3,
    0,
    0,
    0
   ],
   "mono_str": "L1*L1*L1",
   "coeff": "-1/24",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    0,
    2,
    0,
    0,
    0
   ],
   "mono_str": "L1*L1",
   "coeff": "l1/8 + lz/8",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    0,
    1,
    0,
    0,
    0
   ],
   "mono_str": "L1",
   "coeff": "-La2/4 - l1*lz/4 - lz**2/8",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    0,
    0,
    1,
    0,
    0
   ],
   "mono_str": "Li2",
   "coeff": "l1/4",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    0,
    0,
    0,
    1,
    0
   ],
   "mono_str": "Li3",
   "coeff": "-3/4",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    0,
    0,
    0,
    0,
    1
   ],
   "mono_str": "S12",
   "coeff": "-1/4",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  },
  {
   "mono": [
    0,
    0,
    0,
    0,
    0
   ],
   "mono_str": "1",
   "coeff": "-La2*l1/4 + La2*lz/4 + 3*La3/4 + Si12/4 + l1*lz**2/8 + lz**3/24",
   "outer_measure_factor": "zb*(1-zb)",
   "note": "FK1 block: (ze-1) int_0^1 zb(1-zb) coeff_j(zb) B_j(zb) dzb, B_j = int_0^zb mono_j/D_K dt"
  }
 ]
}