{
  "model": "Qwen/Qwen2.5-3B",
  "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": 0.011255048217458858,
      "std_across_seeds": 0.00029170327713132915,
      "per_seed_means": [
        0.011365672556372981,
        0.010855558921272556,
        0.011543913174731036
      ]
    },
    "20": {
      "mean_across_seeds": 0.008040837371307943,
      "std_across_seeds": 5.735484570626992e-05,
      "per_seed_means": [
        0.008052886674801508,
        0.00796534705751886,
        0.00810427838160346
      ]
    },
    "30": {
      "mean_across_seeds": 0.005607237855696843,
      "std_across_seeds": 8.863202668815811e-05,
      "per_seed_means": [
        0.005691748578877499,
        0.005645150489484271,
        0.0054848144987287625
      ]
    },
    "50": {
      "mean_across_seeds": 0.004305336697854929,
      "std_across_seeds": 0.00013922616269980767,
      "per_seed_means": [
        0.004180670159403235,
        0.004235686721124996,
        0.004499653213036557
      ]
    },
    "100": {
      "mean_across_seeds": 0.0017492879890940256,
      "std_across_seeds": 0.00013272472868903432,
      "per_seed_means": [
        0.0016116862614095832,
        0.0017075307061895728,
        0.0019286469996829207
      ]
    },
    "200": {
      "mean_across_seeds": 0.0007549225819174252,
      "std_across_seeds": 7.111260830671966e-05,
      "per_seed_means": [
        0.0007408848872485881,
        0.0006756992589604731,
        0.0008481835995432144
      ]
    },
    "500": {
      "mean_across_seeds": 0.0003144526818747787,
      "std_across_seeds": 5.0788319188644444e-05,
      "per_seed_means": [
        0.00028346924572057714,
        0.00038606213388751105,
        0.00027382666601624803
      ]
    },
    "1000": {
      "mean_across_seeds": 0.0002920797811627078,
      "std_across_seeds": 3.889070069088199e-05,
      "per_seed_means": [
        0.00030768415017519147,
        0.0003299515241330179,
        0.0002386036691799139
      ]
    },
    "2000": {
      "mean_across_seeds": 8.988117967318329e-05,
      "std_across_seeds": 5.94207520177485e-06,
      "per_seed_means": [
        9.827569079789101e-05,
        8.601787588607598e-05,
        8.534997233558291e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 0.9643628833140916,
    "log_A": -1.871616966615359,
    "R2": 0.97891,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.0018280361467505031,
    "log_A": -6.085205860136052,
    "R2": 0.758046,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.2209,
  "gamma_CI_95": {
    "lo": 0.8066661732202158,
    "hi": 1.1104644097863652
  },
  "decision": "REFUTED: C not constant across \u03b8"
}