# epsilonN_certify L=0.545 N=24 dps=25 tail_target=1.0e-09 primes=[2]
# CCM dictionary: lambda = e^L = 1.724608 (interval [1/lambda, lambda], evenness = invariance under u -> 1/u)
parity checks (all balls must contain 0):
  prime cross-parity entry (1,2): [+/- 1.88e-25]  contains0=True
  v+_2 (cosh, k even): [+/- 4.18e-25]  contains0=True
  v-_1 (sinh, k odd):  [+/- 4.24e-26]  contains0=True
  vp_1-(v+_1+v-_1): [+/- 8.54e-25]  contains0=True
  vm_2-(v+_2-v-_2): [+/- 8.67e-25]  contains0=True
  parity structure verified: True
# using 7 worker processes
  sector even: 78 entries done (pool) t=21s
  sector odd: 78 entries done (pool) t=41s
entries done t=42s; R_entry range [3891, 34355]

[U] UNCONSTRAINED 24x24 sections (pole term inside the form; dim 24 = 12 even + 12 odd)
U even sector: delta=6.68e-15  clusters: 1 in [5.5800036349e-08, 1.1898831854e-07] | 1 in [2.1314929768e-03, 2.1315616677e-03] | 1 in [7.1687590644e-01, 7.1687600632e-01] | ...
U odd  sector: delta=5.37e-15  clusters: 1 in [2.2654060045e-05, 2.2725490317e-05] | 1 in [1.3328587056e-01, 1.3328599118e-01] | 1 in [8.5497831686e-01, 8.5497843976e-01] | ...
[U] eps_N enclosure (Gershgorin): [5.5800036349e-08, 1.1898831854e-07]
[U] certified sign (Gershgorin): POSITIVE
[U] sector of minimizer: EVEN (certified: min even cluster [5.580004e-08, 1.189883e-07] < other-sector min >= 2.265406e-05)
[U] SIMPLICITY: certified. lambda_2 in [2.2654060045e-05, 2.2725490317e-05]; certified gap lambda_2 - lambda_1 >= 2.2535071727e-05
[U] ball-Cholesky sign certificate: W_N >= 5.9952405709e-08 on the FULL 24-dim section
[U] COMBINED certified enclosure: eps_N in [5.9952405709e-08, 1.1898831854e-07]

[C] POLE-CONSTRAINED family (explicit float Q per sector; dim 22 = 11 + 11)
C even sector: constraint residual <= 4.1e-17  delta=2.97e-15
  clusters: 1 in [1.3831099870e-03, 1.3831963325e-03] | 1 in [6.9945901477e-01, 6.9945913836e-01] | 1 in [1.0676545174e+00, 1.0676546170e+00] | ...
C odd sector: constraint residual <= 3.7e-18  delta=3.81e-15
  clusters: 1 in [5.9211091815e-02, 5.9211286447e-02] | 1 in [8.3690216454e-01, 8.3690235565e-01] | 1 in [1.1142961973e+00, 1.1142963879e+00] | ...
[C] eps_N enclosure (Gershgorin): [1.3831099870e-03, 1.3831963325e-03]
[C] certified sign (Gershgorin): POSITIVE
[C] sector of minimizer: EVEN (certified: min even cluster [1.383110e-03, 1.383196e-03] < other-sector min >= 5.921109e-02)
[C] SIMPLICITY: certified. lambda_2 in [5.9211091815e-02, 5.9211286447e-02]; certified gap lambda_2 - lambda_1 >= 5.7827895482e-02
[C] ball-Cholesky sign certificate: W >= 1.3554900966e-03 ||f||^2 on the explicit 22-dim family
[C] COMBINED certified enclosure: eps_N in [1.3831099870e-03, 1.3831963325e-03]

total time 42 s  (dps=25, tail_target=1.0e-09)
