{
  "B": "PASS",
  "sub": {
    "actual_arithmetic_complex": "PASS — RΓ(Z_S,T), three descriptions, one object",
    "canonical_fundamental_line_identification": "PASS — Φ_B: det^{-1}RΓ(Z_S,T) ≅ D_MW,11 ⊗ H_str, and H_str ≅ D_MW,11 ⊗ H^1_f(Q_11,T)^{-1}",
    "free_MW_factor": "PASS — D_MW,11 = ∧²(E(Q)⊗Z_11) via the Kummer map, an isomorphism in degree 1 (cokernel T_11(Sha), inherited zero)",
    "strict_free_factor": "PASS — H_str = det(H^2)^{-1} ≅ Sel_str(T), rank one, torsion-free (index 11^0), identified with D_MW ⊗ H^1_f(Q_11,T)^{-1} through the ordinary complex",
    "finite_factor": "PASS — placed, every 11-length zero (Sha numeric only); the unit line",
    "self_dual_placement": "PASS — actual shift 3 on the ordinary complex, relaxed dual to strict; Round 034's centre-1 profile is the ordinary complex shifted by [1]; not forced",
    "A_element_transported": "PASS — ε·(P∧Q)⊗R_str = ε·(P∧Q)^{⊗2}⊗g^{-1}, ε unmeasured",
    "numerical_finite_evaluation": "NOT REQUIRED / deferred to G (all zero at 11 anyway; Sha inherited)",
    "C_input": "H_str = Sel_str(T) ≅ D_MW,11 ⊗ H^1_f(Q_11,T)^{-1}: the strict/free line — C asks whether the derived height pairs it with the MW determinant's complementary direction"
  },
  "line": "D_MW (x) H_str = D_MW^{(x)2} (x) H^1_f(Q_11,T)^{-1}",
  "not_claimed": [
    "the unit ε (𝔷_{Q∞}(1) = ε·(P∧Q)⊗R_str) — not computed; no scalar equality",
    "any trivialisation of H_str — the height / regulator bridge is C",
    "Sha(E/Q)[11] = 0 verified here (inherited; every number that needs it is NUMERIC ONLY)",
    "Nekovář's duality theorem re-read this round (its shift is cited as standard; the degree bookkeeping used is Lemma 2.14(ii))",
    "any finite VALUE beyond the 11-lengths that this tree computed (torsion, c_389, #Ẽ(F_11), the index): G's business",
    "nodes C, D, E, F, G",
    "BSD"
  ],
  "judged_on_unknown_G_value": false,
  "D_E_F_untouched": true,
  "outcome_read": "B PASS: the line that carries A's element is the BSD-shaped arithmetic line at 11 — the rank-2 Mordell–Weil determinant squared over the local Bloch–Kato line — with the finite package the unit line and the strict line kept whole for C",
  "agrees": true
}