{
  "model": "Qwen/Qwen2.5-7B",
  "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": 0.01053441942591841,
      "std_across_seeds": 0.0004096349139475821,
      "per_seed_means": [
        0.010172064562793822,
        0.01110703696652005,
        0.010324156748441358
      ]
    },
    "20": {
      "mean_across_seeds": 0.005741046461561281,
      "std_across_seeds": 0.000435607874390518,
      "per_seed_means": [
        0.005440830650040879,
        0.006357023641079043,
        0.005425285093563919
      ]
    },
    "30": {
      "mean_across_seeds": 0.003944915988637755,
      "std_across_seeds": 0.0002638345043073428,
      "per_seed_means": [
        0.003917800245884185,
        0.004280749395644913,
        0.0036361983243841677
      ]
    },
    "50": {
      "mean_across_seeds": 0.002418298812634829,
      "std_across_seeds": 5.2016056601622415e-05,
      "per_seed_means": [
        0.0023832766552610942,
        0.0024918330257060004,
        0.002379786756937392
      ]
    },
    "100": {
      "mean_across_seeds": 0.0012223406427882666,
      "std_across_seeds": 0.0001330805153728109,
      "per_seed_means": [
        0.0010793442847110177,
        0.0013998089428059756,
        0.0011878687008478057
      ]
    },
    "200": {
      "mean_across_seeds": 0.0004989972161840544,
      "std_across_seeds": 4.554042469761155e-05,
      "per_seed_means": [
        0.0005171559086011257,
        0.0005434304090643612,
        0.0004364053308866763
      ]
    },
    "500": {
      "mean_across_seeds": 0.0002234310967226823,
      "std_across_seeds": 1.850256370960218e-05,
      "per_seed_means": [
        0.00024275045480559736,
        0.00019848779578751419,
        0.0002290550395749354
      ]
    },
    "1000": {
      "mean_across_seeds": 0.00014713535652036727,
      "std_across_seeds": 2.0011462308929375e-05,
      "per_seed_means": [
        0.0001648538616791484,
        0.00015738706589521218,
        0.00011916514198674121
      ]
    },
    "2000": {
      "mean_across_seeds": 5.419184616888136e-05,
      "std_across_seeds": 7.110548031407352e-06,
      "per_seed_means": [
        6.415639788883709e-05,
        5.0380305857894806e-05,
        4.8038834759912184e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 0.9966953735480816,
    "log_A": -2.1584093095473813,
    "R2": 0.993942,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.0019021924595511957,
    "log_A": -6.506136394202672,
    "R2": 0.780205,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.2137,
  "gamma_CI_95": {
    "lo": 0.915955763320153,
    "hi": 1.0588818264570377
  },
  "decision": "REFUTED: C not constant across \u03b8"
}