Diagnostics — nonlinear_beta_gamma/subcritical

Diagnostic archive — not quantitative evidence

These are raw solver diagnostics kept for inspection and provenance. They are not reader-facing evidence and must not be cited for quantitative claims. The curated, validated figures live on the Results page. Archives marked provenance-only in the evidence manifest are excluded here.

8 case(s), 240 panel(s).

a1_b1_alpha1_m0p5_beta0p5_gamma2_mu1_nu1_L1_n1 · n₀=1 · χ*=8.4647 · 30 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=0.5, \(\beta\)=0.5, \(\gamma\)=2, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=8.4647, \(A\)=-1.6161e-02, \(\beta^+\)=2.540, \(\beta_{n_0}(\beta)\)=+5.0451e+00 → supercritical at this \(\beta\)

chi8-0355_A_rel1e-01_m

chi8-0355_A_rel1e-01_p

chi8-0355_A_rel1e-02_m

chi8-0355_A_rel1e-02_p

chi8-0355_A_rel1e-03_m

chi8-0355_A_rel1e-03_p

chi8-0355_A_rel1e-04_m

chi8-0355_A_rel1e-04_p

chi8-2892_A_rel1e-01_m

chi8-2892_A_rel1e-01_p

chi8-2892_A_rel1e-02_m

chi8-2892_A_rel1e-02_p

chi8-2892_A_rel1e-03_m

chi8-2892_A_rel1e-03_p

chi8-2892_A_rel1e-04_m

chi8-2892_A_rel1e-04_p

chi8-3738_A_rel1e-01_m

chi8-3738_A_rel1e-01_p

chi8-3738_A_rel1e-02_m

chi8-3738_A_rel1e-02_p

chi8-3738_A_rel1e-03_m

chi8-3738_A_rel1e-03_p

chi8-3738_A_rel1e-04_m

chi8-3738_A_rel1e-04_p

chi8-5494_ep0-0010_m

chi8-5494_ep0-0010_p

chi8-8880_ep0-0010_m

chi8-8880_ep0-0010_p

chi9-3112_ep0-0010_m

chi9-3112_ep0-0010_p

a1_b1_alpha1_m0p5_beta0p5_gamma3_mu1_nu1_L1_n1 · n₀=1 · χ*=5.6431 · 30 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=0.5, \(\beta\)=0.5, \(\gamma\)=3, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=5.6431, \(A\)=-3.6363e-02, \(\beta^+\)=27.808, \(\beta_{n_0}(\beta)\)=+6.6428e+00 → supercritical at this \(\beta\)

chi5-3570_A_rel1e-01_m

chi5-3570_A_rel1e-01_p

chi5-3570_A_rel1e-02_m

chi5-3570_A_rel1e-02_p

chi5-3570_A_rel1e-03_m

chi5-3570_A_rel1e-03_p

chi5-3570_A_rel1e-04_m

chi5-3570_A_rel1e-04_p

chi5-5262_A_rel1e-01_m

chi5-5262_A_rel1e-01_p

chi5-5262_A_rel1e-02_m

chi5-5262_A_rel1e-02_p

chi5-5262_A_rel1e-03_m

chi5-5262_A_rel1e-03_p

chi5-5262_A_rel1e-04_m

chi5-5262_A_rel1e-04_p

chi5-5826_A_rel1e-01_m

chi5-5826_A_rel1e-01_p

chi5-5826_A_rel1e-02_m

chi5-5826_A_rel1e-02_p

chi5-5826_A_rel1e-03_m

chi5-5826_A_rel1e-03_p

chi5-5826_A_rel1e-04_m

chi5-5826_A_rel1e-04_p

chi5-6996_ep0-0010_m

chi5-6996_ep0-0010_p

chi5-9253_ep0-0010_m

chi5-9253_ep0-0010_p

chi6-2075_ep0-0010_m

chi6-2075_ep0-0010_p

a1_b1_alpha1_m0p5_beta1_gamma2_mu1_nu1_L1_n1 · n₀=1 · χ*=11.9709 · 30 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=0.5, \(\beta\)=1, \(\gamma\)=2, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=11.9709, \(A\)=-1.6161e-02, \(\beta^+\)=2.540, \(\beta_{n_0}(\beta)\)=+3.8212e+00 → supercritical at this \(\beta\)

chi11-3639_A_rel1e-01_m

chi11-3639_A_rel1e-01_p

chi11-3639_A_rel1e-02_m

chi11-3639_A_rel1e-02_p

chi11-3639_A_rel1e-03_m

chi11-3639_A_rel1e-03_p

chi11-3639_A_rel1e-04_m

chi11-3639_A_rel1e-04_p

chi11-7228_A_rel1e-01_m

chi11-7228_A_rel1e-01_p

chi11-7228_A_rel1e-02_m

chi11-7228_A_rel1e-02_p

chi11-7228_A_rel1e-03_m

chi11-7228_A_rel1e-03_p

chi11-7228_A_rel1e-04_m

chi11-7228_A_rel1e-04_p

chi11-8424_A_rel1e-01_m

chi11-8424_A_rel1e-01_p

chi11-8424_A_rel1e-02_m

chi11-8424_A_rel1e-02_p

chi11-8424_A_rel1e-03_m

chi11-8424_A_rel1e-03_p

chi11-8424_A_rel1e-04_m

chi11-8424_A_rel1e-04_p

chi12-0906_ep0-0010_m

chi12-0906_ep0-0010_p

chi12-5695_ep0-0010_m

chi12-5695_ep0-0010_p

chi13-1680_ep0-0010_m

chi13-1680_ep0-0010_p

a1_b1_alpha1_m0p5_beta1_gamma3_mu1_nu1_L1_n1 · n₀=1 · χ*=7.9806 · 30 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=0.5, \(\beta\)=1, \(\gamma\)=3, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=7.9806, \(A\)=-3.6363e-02, \(\beta^+\)=27.808, \(\beta_{n_0}(\beta)\)=+7.0086e+00 → supercritical at this \(\beta\)

chi7-5759_A_rel1e-01_m

chi7-5759_A_rel1e-01_p

chi7-5759_A_rel1e-02_m

chi7-5759_A_rel1e-02_p

chi7-5759_A_rel1e-03_m

chi7-5759_A_rel1e-03_p

chi7-5759_A_rel1e-04_m

chi7-5759_A_rel1e-04_p

chi7-8152_A_rel1e-01_m

chi7-8152_A_rel1e-01_p

chi7-8152_A_rel1e-02_m

chi7-8152_A_rel1e-02_p

chi7-8152_A_rel1e-03_m

chi7-8152_A_rel1e-03_p

chi7-8152_A_rel1e-04_m

chi7-8152_A_rel1e-04_p

chi7-8949_A_rel1e-01_m

chi7-8949_A_rel1e-01_p

chi7-8949_A_rel1e-02_m

chi7-8949_A_rel1e-02_p

chi7-8949_A_rel1e-03_m

chi7-8949_A_rel1e-03_p

chi7-8949_A_rel1e-04_m

chi7-8949_A_rel1e-04_p

chi8-0604_ep0-0010_m

chi8-0604_ep0-0010_p

chi8-3796_ep0-0010_m

chi8-3796_ep0-0010_p

chi8-7787_ep0-0010_m

chi8-7787_ep0-0010_p

a1_b1_alpha1_m0p5_beta2_gamma2_mu1_nu1_L1_n1 · n₀=1 · χ*=23.9419 · 30 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=0.5, \(\beta\)=2, \(\gamma\)=2, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=23.9419, \(A\)=-1.6161e-02, \(\beta^+\)=2.540, \(\beta_{n_0}(\beta)\)=+1.3493e+00 → supercritical at this \(\beta\)

chi22-7278_A_rel1e-01_m

chi22-7278_A_rel1e-01_p

chi22-7278_A_rel1e-02_m

chi22-7278_A_rel1e-02_p

chi22-7278_A_rel1e-03_m

chi22-7278_A_rel1e-03_p

chi22-7278_A_rel1e-04_m

chi22-7278_A_rel1e-04_p

chi23-4455_A_rel1e-01_m

chi23-4455_A_rel1e-01_p

chi23-4455_A_rel1e-02_m

chi23-4455_A_rel1e-02_p

chi23-4455_A_rel1e-03_m

chi23-4455_A_rel1e-03_p

chi23-4455_A_rel1e-04_m

chi23-4455_A_rel1e-04_p

chi23-6848_A_rel1e-01_m

chi23-6848_A_rel1e-01_p

chi23-6848_A_rel1e-02_m

chi23-6848_A_rel1e-02_p

chi23-6848_A_rel1e-03_m

chi23-6848_A_rel1e-03_p

chi23-6848_A_rel1e-04_m

chi23-6848_A_rel1e-04_p

chi24-1813_ep0-0010_m

chi24-1813_ep0-0010_p

chi25-1389_ep0-0010_m

chi25-1389_ep0-0010_p

chi26-3360_ep0-0010_m

chi26-3360_ep0-0010_p

a1_b1_alpha1_m0p5_beta2_gamma3_mu1_nu1_L1_n1 · n₀=1 · χ*=15.9612 · 30 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=0.5, \(\beta\)=2, \(\gamma\)=3, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=15.9612, \(A\)=-3.6363e-02, \(\beta^+\)=27.808, \(\beta_{n_0}(\beta)\)=+7.6856e+00 → supercritical at this \(\beta\)

chi15-1519_A_rel1e-01_m

chi15-1519_A_rel1e-01_p

chi15-1519_A_rel1e-02_m

chi15-1519_A_rel1e-02_p

chi15-1519_A_rel1e-03_m

chi15-1519_A_rel1e-03_p

chi15-1519_A_rel1e-04_m

chi15-1519_A_rel1e-04_p

chi15-6303_A_rel1e-01_m

chi15-6303_A_rel1e-01_p

chi15-6303_A_rel1e-02_m

chi15-6303_A_rel1e-02_p

chi15-6303_A_rel1e-03_m

chi15-6303_A_rel1e-03_p

chi15-6303_A_rel1e-04_m

chi15-6303_A_rel1e-04_p

chi15-7898_A_rel1e-01_m

chi15-7898_A_rel1e-01_p

chi15-7898_A_rel1e-02_m

chi15-7898_A_rel1e-02_p

chi15-7898_A_rel1e-03_m

chi15-7898_A_rel1e-03_p

chi15-7898_A_rel1e-04_m

chi15-7898_A_rel1e-04_p

chi16-1208_ep0-0010_m

chi16-1208_ep0-0010_p

chi16-7593_ep0-0010_m

chi16-7593_ep0-0010_p

chi17-5574_ep0-0010_m

chi17-5574_ep0-0010_p

a1_b1_alpha1_m2_beta2_gamma2_mu1_nu1_L1_n1 · n₀=1 · χ*=23.9419 · 30 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=2, \(\gamma\)=2, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=23.9419, \(A\)=-1.6161e-02, \(\beta^+\)=5.312, \(\beta_{n_0}(\beta)\)=+7.3569e+00 → supercritical at this \(\beta\)

chi22-7278_A_rel1e-01_m

chi22-7278_A_rel1e-01_p

chi22-7278_A_rel1e-02_m

chi22-7278_A_rel1e-02_p

chi22-7278_A_rel1e-03_m

chi22-7278_A_rel1e-03_p

chi22-7278_A_rel1e-04_m

chi22-7278_A_rel1e-04_p

chi23-4455_A_rel1e-01_m

chi23-4455_A_rel1e-01_p

chi23-4455_A_rel1e-02_m

chi23-4455_A_rel1e-02_p

chi23-4455_A_rel1e-03_m

chi23-4455_A_rel1e-03_p

chi23-4455_A_rel1e-04_m

chi23-4455_A_rel1e-04_p

chi23-6848_A_rel1e-01_m

chi23-6848_A_rel1e-01_p

chi23-6848_A_rel1e-02_m

chi23-6848_A_rel1e-02_p

chi23-6848_A_rel1e-03_m

chi23-6848_A_rel1e-03_p

chi23-6848_A_rel1e-04_m

chi23-6848_A_rel1e-04_p

chi24-1813_ep0-0010_m

chi24-1813_ep0-0010_p

chi25-1389_ep0-0010_m

chi25-1389_ep0-0010_p

chi26-3360_ep0-0010_m

chi26-3360_ep0-0010_p

a1_b1_alpha1_m2_beta2_gamma3_mu1_nu1_L1_n1 · n₀=1 · χ*=15.9612 · 30 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=2, \(\gamma\)=3, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=15.9612, \(A\)=-3.6363e-02, \(\beta^+\)=40.182, \(\beta_{n_0}(\beta)\)=+1.0225e+01 → supercritical at this \(\beta\)

chi15-1519_A_rel1e-01_m

chi15-1519_A_rel1e-01_p

chi15-1519_A_rel1e-02_m

chi15-1519_A_rel1e-02_p

chi15-1519_A_rel1e-03_m

chi15-1519_A_rel1e-03_p

chi15-1519_A_rel1e-04_m

chi15-1519_A_rel1e-04_p

chi15-6303_A_rel1e-01_m

chi15-6303_A_rel1e-01_p

chi15-6303_A_rel1e-02_m

chi15-6303_A_rel1e-02_p

chi15-6303_A_rel1e-03_m

chi15-6303_A_rel1e-03_p

chi15-6303_A_rel1e-04_m

chi15-6303_A_rel1e-04_p

chi15-7898_A_rel1e-01_m

chi15-7898_A_rel1e-01_p

chi15-7898_A_rel1e-02_m

chi15-7898_A_rel1e-02_p

chi15-7898_A_rel1e-03_m

chi15-7898_A_rel1e-03_p

chi15-7898_A_rel1e-04_m

chi15-7898_A_rel1e-04_p

chi16-1208_ep0-0010_m

chi16-1208_ep0-0010_p

chi16-7593_ep0-0010_m

chi16-7593_ep0-0010_p

chi17-5574_ep0-0010_m

chi17-5574_ep0-0010_p