{
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    "carry_in_density": 0.499366103113,
    "carry_in_subword_counts_k_1_to_12": [
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    "digit_subword_counts_k_1_to_4": [
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    "mirrored_carry_in_mutual_information_bits": 1.3795714e-05,
    "mirrored_digit_mutual_information_bits": 0.563591475633,
    "subwords": "union of contiguous within-state words; row boundaries excluded",
    "window": "states T^k(196), 0 <= k < 4000"
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  "reflection_distance": {
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    "mean_ratio_when_length_gt_100": 0.659803985542,
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    "minimum_ratio": {
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    "window": "outputs T^k(196), 1 <= k <= 4000"
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  "scope_boundary": "finite decimal orbit only; no assertion after T^4000(196)",
  "shifted_axis": {
    "estimator": "mean of per-output normalized mismatch fractions over valid index pairs",
    "mean_normalized_distance": {
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      "growth": 1265,
      "no_growth": 1735
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    "window": "transitions T^(k-1)(196) -> T^k(196), 1 <= k <= 3000"
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  "state_sequence": {
    "final_digit_length": 1671,
    "range": "T^k(196), 0 <= k <= 4000",
    "sha256_step_colon_state_newline": "728ea025c210c0fa9fab53046c2fe9521f3e1e04fadd315c62d4c3e5df3693bb"
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}
