{
  "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": 0.010635459372877248,
      "std_across_seeds": 0.00025287936403276716,
      "per_seed_means": [
        0.01028363746435692,
        0.010755800842307508,
        0.010866939811967314
      ]
    },
    "20": {
      "mean_across_seeds": 0.008148884469539755,
      "std_across_seeds": 0.0004449303658328976,
      "per_seed_means": [
        0.008704437670918802,
        0.008126969210182628,
        0.007615246527517835
      ]
    },
    "30": {
      "mean_across_seeds": 0.005823801488149912,
      "std_across_seeds": 0.0002978411235393803,
      "per_seed_means": [
        0.005403217209192614,
        0.006014202661657085,
        0.006053984593600035
      ]
    },
    "50": {
      "mean_across_seeds": 0.004366586864408519,
      "std_across_seeds": 0.0003111265487346291,
      "per_seed_means": [
        0.004062428347145518,
        0.00424332035627837,
        0.0047940118898016715
      ]
    },
    "100": {
      "mean_across_seeds": 0.0018307541850824942,
      "std_across_seeds": 0.0001194163000240852,
      "per_seed_means": [
        0.001711244311882183,
        0.0017871726725328092,
        0.001993845570832491
      ]
    },
    "200": {
      "mean_across_seeds": 0.0009602205806974476,
      "std_across_seeds": 2.195872155884662e-05,
      "per_seed_means": [
        0.000986584196604478,
        0.0009612513726460748,
        0.0009328261728417905
      ]
    },
    "500": {
      "mean_across_seeds": 0.0004414605432733272,
      "std_across_seeds": 1.0677396043156196e-05,
      "per_seed_means": [
        0.00044303275436201756,
        0.0004536804476326021,
        0.00042766842782536213
      ]
    },
    "1000": {
      "mean_across_seeds": 0.00022347296873502073,
      "std_across_seeds": 7.233574415262604e-06,
      "per_seed_means": [
        0.00021570391957842123,
        0.00023312102561855378,
        0.00022159396100808712
      ]
    },
    "2000": {
      "mean_across_seeds": 0.00013890501313047328,
      "std_across_seeds": 5.059921830410724e-06,
      "per_seed_means": [
        0.00013592033639724831,
        0.0001347650347452145,
        0.00014602966824895703
      ]
    }
  },
  "fit_power_law": {
    "gamma": 0.9194920254637005,
    "log_A": -1.9941156229372259,
    "R2": 0.995818,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.0017142700743956925,
    "log_A": -6.027563543680847,
    "R2": 0.745944,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.2499,
  "gamma_CI_95": {
    "lo": 0.8634080075020839,
    "hi": 0.9885081580114671
  },
  "decision": "REFUTED: C not constant across \u03b8"
}