Uniform bound ℓ(a) ≤ −159/100 on [a₋, a₊].
ℓ = 2log(a/2) + (1/3)J₀ + (4/3)J₁ − (1/3)J₅ with J₀ = −a, J₁ = −log(2/(1+U₁)) − (U₁−1),
J₅ = −5log(10/(5+U₅)) − (U₅−5), U_c = √(c²+a²). Each term is bounded separately by
monotonicity in a
(U₁ ∈ [2647/1250, 105881/50000], U₅ ∈ [266853/50000, 533707/100000]), the three logs by
log_le/log_ge'.
Upper bound obtained: −1.60135. Data: tools/b2_numerics.py.