Diagnostics — high_modes/supercritical

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.

6 case(s), 85 panel(s).

a10_b1_alpha1_m1_beta0_gamma1_mu1_nu1_L3p5_n2 · n₀=2 · χ*=1.7326 · 13 panels

Parameters — \(a\)=10, \(b\)=1, \(\alpha\)=1, \(m\)=1, \(\beta\)=0, \(\gamma\)=1, \(\mu\)=1, \(\nu\)=1, \(L\)=3.5, \(n_0\)=2

Derived — \(u^*\)=10.0000, \(\chi^*\)=1.7326, \(A\)=-2.5740e-03, \(\beta^+\)=1.135, \(\beta_{n_0}(\beta)\)=+1.1810e-01 → supercritical at this \(\beta\)

chi1-6459_ep0-0010_m

chi1-6459_ep0-0010_p

chi1-6979_ep0-0010_m

chi1-6979_ep0-0010_p

chi1-7152_ep0-0010_m

chi1-7152_ep0-0010_p

chi1-7499_ep0-0010_m

chi1-7499_ep0-0010_m_T150

chi1-7499_ep0-0010_p

chi1-7672_ep0-0010_m

chi1-7672_ep0-0010_p

chi1-8192_ep0-0010_m

chi1-8192_ep0-0010_p

a10_b1_alpha1_m1_beta0_gamma1_mu1_nu1_L5p3_n3 · n₀=3 · χ*=1.7325 · 12 panels

Parameters — \(a\)=10, \(b\)=1, \(\alpha\)=1, \(m\)=1, \(\beta\)=0, \(\gamma\)=1, \(\mu\)=1, \(\nu\)=1, \(L\)=5.3, \(n_0\)=3

Derived — \(u^*\)=10.0000, \(\chi^*\)=1.7325, \(A\)=-2.6961e-03, \(\beta^+\)=1.146, \(\beta_{n_0}(\beta)\)=+1.2138e-01 → supercritical at this \(\beta\)

chi1-6458_ep0-0010_m

chi1-6458_ep0-0010_p

chi1-6978_ep0-0010_m

chi1-6978_ep0-0010_p

chi1-7151_ep0-0010_m

chi1-7151_ep0-0010_p

chi1-7498_ep0-0010_m

chi1-7498_ep0-0010_p

chi1-7671_ep0-0010_m

chi1-7671_ep0-0010_p

chi1-8191_ep0-0010_m

chi1-8191_ep0-0010_p

a1_b1_alpha1_m2_beta1_gamma2_mu1_nu1_L5p3_n2 · n₀=2 · χ*=4.1170 · 18 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=1, \(\gamma\)=2, \(\mu\)=1, \(\nu\)=1, \(L\)=5.3, \(n_0\)=2

Derived — \(u^*\)=1.0000, \(\chi^*\)=4.1170, \(A\)=-1.1006e-01, \(\beta^+\)=4.818, \(\beta_{n_0}(\beta)\)=+2.2622e+00 → supercritical at this \(\beta\)

chi3-9087_ep0-0010_m

chi3-9087_ep0-0010_p

chi3-9110_ep0-0010_m

chi3-9110_ep0-0010_p

chi4-0321_ep0-0010_m

chi4-0321_ep0-0010_p

chi4-0345_ep0-0010_m

chi4-0345_ep0-0010_p

chi4-0733_ep0-0010_m

chi4-0733_ep0-0010_p

chi4-0757_ep0-0010_m

chi4-0757_ep0-0010_p

chi4-1581_ep0-0010_m

chi4-1581_ep0-0010_p

chi4-1993_ep0-0010_m

chi4-1993_ep0-0010_p

chi4-3228_ep0-0010_m

chi4-3228_ep0-0010_p

a1_b1_alpha1_m2_beta1_gamma2_mu1_nu1_L8_n3 · n₀=3 · χ*=4.1084 · 18 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=1, \(\gamma\)=2, \(\mu\)=1, \(\nu\)=1, \(L\)=8, \(n_0\)=3

Derived — \(u^*\)=1.0000, \(\chi^*\)=4.1084, \(A\)=-1.1170e-01, \(\beta^+\)=4.795, \(\beta_{n_0}(\beta)\)=+2.2518e+00 → supercritical at this \(\beta\)

chi3-8978_ep0-0010_m

chi3-8978_ep0-0010_p

chi3-9029_ep0-0010_m

chi3-9029_ep0-0010_p

chi4-0209_ep0-0010_m

chi4-0209_ep0-0010_p

chi4-0262_ep0-0010_m

chi4-0262_ep0-0010_p

chi4-0620_ep0-0010_m

chi4-0620_ep0-0010_p

chi4-0673_ep0-0010_m

chi4-0673_ep0-0010_p

chi4-1495_ep0-0010_m

chi4-1495_ep0-0010_p

chi4-1906_ep0-0010_m

chi4-1906_ep0-0010_p

chi4-3138_ep0-0010_m

chi4-3138_ep0-0010_p

a1_b1_alpha1_m2_beta1_gamma3_mu1_nu1_L5p3_n2 · n₀=2 · χ*=2.7446 · 12 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=1, \(\gamma\)=3, \(\mu\)=1, \(\nu\)=1, \(L\)=5.3, \(n_0\)=2

Derived — \(u^*\)=1.0000, \(\chi^*\)=2.7446, \(A\)=-2.4764e-01, \(\beta^+\)=6.855, \(\beta_{n_0}(\beta)\)=+1.6939e+00 → supercritical at this \(\beta\)

chi2-6073_ep0-0010_m

chi2-6073_ep0-0010_p

chi2-6897_ep0-0010_m

chi2-6897_ep0-0010_p

chi2-7171_ep0-0010_m

chi2-7171_ep0-0010_p

chi2-7721_ep0-0010_m

chi2-7721_ep0-0010_p

chi2-7995_ep0-0010_m

chi2-7995_ep0-0010_p

chi2-8819_ep0-0010_m

chi2-8819_ep0-0010_p

a1_b1_alpha1_m2_beta1_gamma3_mu1_nu1_L8_n3 · n₀=3 · χ*=2.7389 · 12 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=1, \(\gamma\)=3, \(\mu\)=1, \(\nu\)=1, \(L\)=8, \(n_0\)=3

Derived — \(u^*\)=1.0000, \(\chi^*\)=2.7389, \(A\)=-2.5133e-01, \(\beta^+\)=6.783, \(\beta_{n_0}(\beta)\)=+1.6752e+00 → supercritical at this \(\beta\)

chi2-6019_ep0-0010_m

chi2-6019_ep0-0010_p

chi2-6841_ep0-0010_m

chi2-6841_ep0-0010_p

chi2-7115_ep0-0010_m

chi2-7115_ep0-0010_p

chi2-7663_ep0-0010_m

chi2-7663_ep0-0010_p

chi2-7937_ep0-0010_m

chi2-7937_ep0-0010_p

chi2-8759_ep0-0010_m

chi2-8759_ep0-0010_p