{
  "model": "Qwen/Qwen2.5-0.5B",
  "theta": 1000000,
  "gamma_pred": 0.6666637444455867,
  "C_theory": 9.2103,
  "distances": [
    10,
    20,
    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "distances_fit": [
    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "d_min_fit": 30,
  "n_prompts_per_distance": 150,
  "seeds": [
    42,
    123,
    7
  ],
  "attn_by_distance": {
    "10": {
      "mean_across_seeds": 0.010570011463585412,
      "std_across_seeds": 0.0006879723804669801,
      "per_seed_means": [
        0.009635474333384384,
        0.011271671279876803,
        0.010802888777495051
      ]
    },
    "20": {
      "mean_across_seeds": 0.00707240852061659,
      "std_across_seeds": 0.000389520100149214,
      "per_seed_means": [
        0.0068374204235927515,
        0.007621381778735667,
        0.006758423359521354
      ]
    },
    "30": {
      "mean_across_seeds": 0.004906498004501271,
      "std_across_seeds": 0.00017033846135921013,
      "per_seed_means": [
        0.004929499562131241,
        0.005102665189964076,
        0.004687329261408498
      ]
    },
    "50": {
      "mean_across_seeds": 0.0027538882062395314,
      "std_across_seeds": 9.39742235656474e-05,
      "per_seed_means": [
        0.0027291350761273255,
        0.00287934524686231,
        0.002653184295728958
      ]
    },
    "100": {
      "mean_across_seeds": 0.001320942670281511,
      "std_across_seeds": 0.00010363790555285399,
      "per_seed_means": [
        0.0012310828099725767,
        0.00146614785825174,
        0.0012655973426202157
      ]
    },
    "200": {
      "mean_across_seeds": 0.000577603733767723,
      "std_across_seeds": 4.0297786585279594e-05,
      "per_seed_means": [
        0.0006196609819987013,
        0.0005898806393573371,
        0.0005232695799471306
      ]
    },
    "500": {
      "mean_across_seeds": 0.00024497756287019003,
      "std_across_seeds": 1.2471281191936438e-05,
      "per_seed_means": [
        0.0002595857172430745,
        0.00022911482625507536,
        0.00024623214511242016
      ]
    },
    "1000": {
      "mean_across_seeds": 0.00011319100446043093,
      "std_across_seeds": 1.2651024110541512e-05,
      "per_seed_means": [
        0.00012925400123549479,
        0.00011198282766296567,
        9.833618448283232e-05
      ]
    },
    "2000": {
      "mean_across_seeds": 7.040919211400856e-05,
      "std_across_seeds": 5.101730843717623e-06,
      "per_seed_means": [
        7.729242793478382e-05,
        6.509479955639108e-05,
        6.88403488508508e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 1.0283740139174087,
    "log_A": -1.8919214095663512,
    "R2": 0.996775,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.0019054864999929597,
    "log_A": -6.409520766789601,
    "R2": 0.737515,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.2593,
  "gamma_CI_95": {
    "lo": 0.9717583644853511,
    "hi": 1.0942794404578478
  },
  "decision": "REFUTED: C not constant across \u03b8"
}