# epsilonN_certify L=0.5 N=24 dps=25 tail_target=1.0e-09 primes=[2]
# CCM dictionary: lambda = e^L = 1.648721 (interval [1/lambda, lambda], evenness = invariance under u -> 1/u)
parity checks (all balls must contain 0):
  prime cross-parity entry (1,2): [+/- 1.11e-25]  contains0=True
  v+_2 (cosh, k even): [+/- 3.31e-25]  contains0=True
  v-_1 (sinh, k odd):  [+/- 2.60e-26]  contains0=True
  vp_1-(v+_1+v-_1): [+/- 6.67e-25]  contains0=True
  vm_2-(v+_2-v-_2): [+/- 6.33e-25]  contains0=True
  parity structure verified: True
# using 7 worker processes
  sector even: 78 entries done (pool) t=22s
  sector odd: 78 entries done (pool) t=45s
entries done t=45s; R_entry range [4256, 37549]

[U] UNCONSTRAINED 24x24 sections (pole term inside the form; dim 24 = 12 even + 12 odd)
U even sector: delta=1.38e-14  clusters: 1 in [1.0464763614e-06, 1.1122934806e-06] | 1 in [2.2652399423e-02, 2.2652482852e-02] | 1 in [8.4672250414e-01, 8.4672262233e-01] | ...
U odd  sector: delta=2.97e-15  clusters: 1 in [2.4405655045e-04, 2.4412032438e-04] | 1 in [4.0262769738e-01, 4.0262781752e-01] | 1 in [8.9566822729e-01, 8.9566832480e-01] | ...
[U] eps_N enclosure (Gershgorin): [1.0464763614e-06, 1.1122934806e-06]
[U] certified sign (Gershgorin): POSITIVE
[U] sector of minimizer: EVEN (certified: min even cluster [1.046476e-06, 1.112293e-06] < other-sector min >= 2.440566e-04)
[U] SIMPLICITY: certified. lambda_2 in [2.4405655045e-04, 2.4412032438e-04]; certified gap lambda_2 - lambda_1 >= 2.4294425697e-04
[U] ball-Cholesky sign certificate: W_N >= 1.0577972226e-06 on the FULL 24-dim section
[U] COMBINED certified enclosure: eps_N in [1.0577972226e-06, 1.1122934806e-06]

[C] POLE-CONSTRAINED family (explicit float Q per sector; dim 22 = 11 + 11)
C even sector: constraint residual <= 5.7e-17  delta=3.05e-15
  clusters: 1 in [1.5010924255e-02, 1.5011033822e-02] | 1 in [8.4466141832e-01, 8.4466156949e-01] | 1 in [1.1096978868e+00, 1.1096980244e+00] | ...
C odd sector: constraint residual <= 7.0e-18  delta=3.18e-15
  clusters: 1 in [2.1783163065e-01, 2.1783183692e-01] | 1 in [8.6670552659e-01, 8.6670569447e-01] | 1 in [1.2345703460e+00, 1.2345705415e+00] | ...
[C] eps_N enclosure (Gershgorin): [1.5010924255e-02, 1.5011033822e-02]
[C] certified sign (Gershgorin): POSITIVE
[C] sector of minimizer: EVEN (certified: min even cluster [1.501092e-02, 1.501103e-02] < other-sector min >= 2.178316e-01)
[C] SIMPLICITY: certified. lambda_2 in [2.1783163065e-01, 2.1783183692e-01]; certified gap lambda_2 - lambda_1 >= 2.0282059682e-01
[C] ball-Cholesky sign certificate: W >= 1.4710759458e-02 ||f||^2 on the explicit 22-dim family
[C] COMBINED certified enclosure: eps_N in [1.5010924255e-02, 1.5011033822e-02]

total time 45 s  (dps=25, tail_target=1.0e-09)
