1{
 2  "grid": 24,
 3  "divergence_max_abs_by_amplitude": [
 4    0.0,
 5    8.326672684688674e-17,
 6    4.547473508864641e-13,
 7    7.450580596923828e-09
 8  ],
 9  "prediction_1": {
10    "predicted": "0 exactly (up to floating point)",
11    "observed_max": 7.450580596923828e-09
12  },
13  "prediction_2": {
14    "predicted": "lambda_max * eps is constant",
15    "eps": [
16      0.5,
17      1.0,
18      2.0,
19      4.0
20    ],
21    "lambda_max": [
22      4.0,
23      2.0,
24      1.0,
25      0.5
26    ],
27    "products": [
28      2.0,
29      2.0,
30      2.0,
31      2.0
32    ],
33    "relative_spread": 0.0
34  },
35  "prediction_3": {
36    "predicted": "transition at eta*lambda_max=2",
37    "lambda_max": 2.0,
38    "eta_critical": 1.0,
39    "tests": [
40      {
41        "eta_over_critical": 0.9,
42        "final_over_initial": 2.394524282602964e-06,
43        "stable_observed": true
44      },
45      {
46        "eta_over_critical": 0.99,
47        "final_over_initial": 0.3098220977635583,
48        "stable_observed": true
49      },
50      {
51        "eta_over_critical": 1.01,
52        "final_over_initial": 3.1536243640574986,
53        "stable_observed": true
54      },
55      {
56        "eta_over_critical": 1.1,
57        "final_over_initial": 39130.21830081066,
58        "stable_observed": false
59      }
60    ]
61  },
62  "baseline_context": {
63    "primal_condition_number": 29.856406460551025,
64    "dual_condition_number": 29.856406460551025,
65    "dual_gauss_residual": 7.450580596923828e-09
66  },
67  "note": "The primal and dual constant-coefficient quadratic operators have the same nonzero Fourier condition number; the dual advantage tested here is exact constraint satisfaction, not a universal conditioning improvement."
68}