{
  "seed": 3301027,
  "simulations": 9999,
  "features": [
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    "position:word_start",
    "position:word_middle",
    "position:word_end",
    "position:plain_word_boundary",
    "position:punctuated_word_boundary",
    "length:2",
    "length:3",
    "length:4",
    "length:5_to_7",
    "length:8_plus",
    "length:across_words",
    "punctuation:immediately_before_pair",
    "punctuation:between_pair",
    "punctuation:immediately_after_pair",
    "layout:crosses_line",
    "layout:crosses_page",
    "section_quarter:1",
    "section_quarter:2",
    "section_quarter:3",
    "section_quarter:4"
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  "sections": [
    {
      "section": 0,
      "runes": 729,
      "eligible_edges": 728,
      "repeat_events": 4,
      "feature_opportunities": [
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        125,
        293,
        125,
        149,
        8,
        28,
        72,
        60,
        244,
        167,
        157,
        8,
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        2,
        182,
        182,
        182,
        182
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        1,
        1
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      "section": 1,
      "runes": 1145,
      "eligible_edges": 1144,
      "repeat_events": 6,
      "feature_opportunities": [
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        427,
        215,
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        16,
        32,
        138,
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        352,
        223,
        255,
        16,
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        17,
        54,
        4,
        286,
        286,
        286,
        286
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      "feature_events": [
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        3,
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        2,
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        1
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    {
      "section": 2,
      "runes": 1729,
      "eligible_edges": 1728,
      "repeat_events": 9,
      "feature_opportunities": [
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        357,
        25,
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        491,
        388,
        382,
        25,
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        6,
        432,
        432,
        432,
        432
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      "feature_events": [
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    {
      "section": 4,
      "runes": 1894,
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      "feature_opportunities": [
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        473
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      "feature_events": [
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      "feature_opportunities": [
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      "section": 6,
      "runes": 1524,
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      "feature_opportunities": [
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        443,
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        2
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    {
      "section": 7,
      "runes": 1589,
      "eligible_edges": 1588,
      "repeat_events": 12,
      "feature_opportunities": [
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        397,
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      "feature_events": [
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        3,
        1,
        1,
        1,
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        2,
        4,
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        0,
        5,
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    {
      "section": 8,
      "runes": 3316,
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      "feature_opportunities": [
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      "feature_events": [
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        3,
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        4
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  ],
  "scope": "Eight substantial LP2 sections; exclude nine-rune segment and edges crossing section boundaries. 12,939 eligible edges, 86 events.",
  "null": "Uniform placement of the observed number of repeat events among eligible edges, independently within each section, without replacement. Preserves all eight section event counts and fixed layout.",
  "comparison": "Two-sided deviations standardized by exact conditional hypergeometric mean/variance; maximum absolute statistic over all 21 predeclared features adjusts the feature family.",
  "feature_definitions": {
    "position": "Mutually exclusive within-word start/end/middle/whole-two-rune word, or plain/punctuated cross-word boundary. Start and end exclude length 2.",
    "length": "Within-word length 2,3,4,5–7,8+; separate across-word category.",
    "punctuation": "Any . , & or § in immediate gap before left rune, between runes, or after right rune. Three overlapping binary features.",
    "layout": "Slash between pair marks a transcribed line wrap; percent marks a page boundary. Two overlapping binary features.",
    "section_quarter": "Left edge index assigned to one of four approximately equal edge-count quarters."
  },
  "measurements": [
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      "events": 1,
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      "random_central_95_percent": [
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      "two_sided_comparison": 0.3765,
      "max_statistic_family_comparison": 0.9833
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    {
      "feature": "position:word_start",
      "events": 11,
      "eligible_edges": 2362,
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      "standard_deviation": 3.5711497839450805,
      "standardized_difference": -1.317191547319663,
      "random_central_95_percent": [
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      "two_sided_comparison": 0.2075,
      "max_statistic_family_comparison": 0.9431
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    {
      "feature": "position:word_middle",
      "events": 33,
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      "standard_deviation": 4.479004744769225,
      "standardized_difference": 0.13138502009778355,
      "random_central_95_percent": [
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      "two_sided_comparison": 0.9117,
      "max_statistic_family_comparison": 1.0
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    {
      "feature": "position:word_end",
      "events": 18,
      "eligible_edges": 2362,
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      "standard_deviation": 3.5711497839450805,
      "standardized_difference": 0.6429614631953534,
      "random_central_95_percent": [
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      "two_sided_comparison": 0.5793,
      "max_statistic_family_comparison": 1.0
    },
    {
      "feature": "position:plain_word_boundary",
      "events": 22,
      "eligible_edges": 2730,
      "rate": 0.00805860805860806,
      "expected": 18.147715180013073,
      "standard_deviation": 3.7715852460655896,
      "standardized_difference": 1.0213967254234864,
      "random_central_95_percent": [
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      "two_sided_comparison": 0.3511,
      "max_statistic_family_comparison": 0.9985
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    {
      "feature": "position:punctuated_word_boundary",
      "events": 1,
      "eligible_edges": 159,
      "rate": 0.006289308176100629,
      "expected": 1.046384465046241,
      "standard_deviation": 1.0132083590908507,
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    {
      "feature": "length:2",
      "events": 1,
      "eligible_edges": 449,
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      "standard_deviation": 1.6921758371043785,
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    {
      "feature": "length:3",
      "events": 10,
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    {
      "feature": "length:4",
      "events": 12,
      "eligible_edges": 1530,
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    {
      "feature": "length:5_to_7",
      "events": 21,
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      "max_statistic_family_comparison": 0.9908
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    {
      "feature": "length:8_plus",
      "events": 19,
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      "two_sided_comparison": 0.8936,
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    {
      "feature": "length:across_words",
      "events": 23,
      "eligible_edges": 2889,
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    {
      "feature": "punctuation:immediately_before_pair",
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      "eligible_edges": 159,
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    {
      "feature": "punctuation:between_pair",
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    {
      "feature": "punctuation:immediately_after_pair",
      "events": 1,
      "eligible_edges": 167,
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    {
      "feature": "layout:crosses_line",
      "events": 4,
      "eligible_edges": 585,
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    {
      "feature": "layout:crosses_page",
      "events": 0,
      "eligible_edges": 48,
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    {
      "feature": "section_quarter:1",
      "events": 25,
      "eligible_edges": 3236,
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      "standard_deviation": 4.003154504527032,
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      "feature": "section_quarter:2",
      "events": 28,
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      "feature": "section_quarter:3",
      "events": 19,
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    {
      "feature": "section_quarter:4",
      "events": 14,
      "eligible_edges": 3233,
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  ],
  "event_inventory": [
    {
      "section": 0,
      "left_section_offset": 121,
      "rune": "ᚦ",
      "label": "TH",
      "left_lp2_page": 0,
      "left_page_offset": 121,
      "right_lp2_page": 0,
      "right_page_offset": 122,
      "left_word_length": 5,
      "left_position_in_word": 4,
      "right_word_length": 2,
      "right_position_in_word": 0,
      "gap_before": "",
      "gap_between": "-",
      "gap_after": "",
      "features": [
        "position:plain_word_boundary",
        "length:across_words",
        "section_quarter:1"
      ],
      "context_runes": "ᚾᛇᚦᛄᛁᚦᚦᛈᚣᛝᛠᚣ"
    },
    {
      "section": 0,
      "left_section_offset": 206,
      "rune": "ᛉ",
      "label": "X",
      "left_lp2_page": 0,
      "left_page_offset": 206,
      "right_lp2_page": 0,
      "right_page_offset": 207,
      "left_word_length": 8,
      "left_position_in_word": 3,
      "right_word_length": 8,
      "right_position_in_word": 4,
      "gap_before": "",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_middle",
        "length:8_plus",
        "section_quarter:2"
      ],
      "context_runes": "ᚪᛋᛠᛗᛝᛉᛉᛇᛞᛒᛟᛞ"
    },
    {
      "section": 0,
      "left_section_offset": 455,
      "rune": "ᛠ",
      "label": "EA",
      "left_lp2_page": 1,
      "left_page_offset": 193,
      "right_lp2_page": 1,
      "right_page_offset": 194,
      "left_word_length": 7,
      "left_position_in_word": 5,
      "right_word_length": 7,
      "right_position_in_word": 6,
      "gap_before": "",
      "gap_between": "",
      "gap_after": "-",
      "features": [
        "position:word_end",
        "length:5_to_7",
        "section_quarter:3"
      ],
      "context_runes": "ᚳᛈᚦᛉᛈᛠᛠᚹᚢᛠᚹᚠ"
    },
    {
      "section": 0,
      "left_section_offset": 652,
      "rune": "ᛄ",
      "label": "J",
      "left_lp2_page": 2,
      "left_page_offset": 124,
      "right_lp2_page": 2,
      "right_page_offset": 125,
      "left_word_length": 8,
      "left_position_in_word": 7,
      "right_word_length": 9,
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      "gap_before": "",
      "gap_between": "-",
      "gap_after": "",
      "features": [
        "position:plain_word_boundary",
        "length:across_words",
        "section_quarter:4"
      ],
      "context_runes": "ᛚᚢᛠᚾᛚᛄᛄᚳᛚᚹᛠᛞ"
    },
    {
      "section": 1,
      "left_section_offset": 52,
      "rune": "ᛚ",
      "label": "L",
      "left_lp2_page": 3,
      "left_page_offset": 52,
      "right_lp2_page": 3,
      "right_page_offset": 53,
      "left_word_length": 12,
      "left_position_in_word": 1,
      "right_word_length": 12,
      "right_position_in_word": 2,
      "gap_before": "",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_middle",
        "length:8_plus",
        "section_quarter:1"
      ],
      "context_runes": "ᚱᚾᛚᛠᚱᛚᛚᛖᛒᚹᚾᚻ"
    },
    {
      "section": 1,
      "left_section_offset": 179,
      "rune": "ᚫ",
      "label": "AE",
      "left_lp2_page": 3,
      "left_page_offset": 179,
      "right_lp2_page": 3,
      "right_page_offset": 180,
      "left_word_length": 5,
      "left_position_in_word": 1,
      "right_word_length": 5,
      "right_position_in_word": 2,
      "gap_before": "",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_middle",
        "length:5_to_7",
        "section_quarter:1"
      ],
      "context_runes": "ᚳᛞᛡᛉᚻᚫᚫᛠᚷᛠᛝᚠ"
    },
    {
      "section": 1,
      "left_section_offset": 202,
      "rune": "ᛋ",
      "label": "S",
      "left_lp2_page": 3,
      "left_page_offset": 202,
      "right_lp2_page": 3,
      "right_page_offset": 203,
      "left_word_length": 8,
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      "gap_before": "-",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_start",
        "length:5_to_7",
        "section_quarter:1"
      ],
      "context_runes": "ᚦᚠᚪᛝᛖᚹᚹᚣᛚᛇᚢᚣ"
    },
    {
      "section": 8,
      "left_section_offset": 867,
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      "gap_between": "/\n",
      "gap_after": "",
      "features": [
        "position:word_middle",
        "length:8_plus",
        "layout:crosses_line",
        "section_quarter:2"
      ],
      "context_runes": "ᛟᛠᚻᛡᚱᛠᛠᛉᛋᚠᚾᚣ"
    },
    {
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      "right_position_in_word": 1,
      "gap_before": ".",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_start",
        "length:4",
        "punctuation:immediately_before_pair",
        "section_quarter:2"
      ],
      "context_runes": "ᛗᛞᚫᛇᛗᚾᚾᚣᛡᚱᚾᛗ"
    },
    {
      "section": 8,
      "left_section_offset": 971,
      "rune": "ᛟ",
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      "right_position_in_word": 0,
      "gap_before": "",
      "gap_between": "-",
      "gap_after": "",
      "features": [
        "position:plain_word_boundary",
        "length:across_words",
        "section_quarter:2"
      ],
      "context_runes": "ᛖᚳᛁᚹᚣᛟᛟᚩᛒᛋᛖᚩ"
    },
    {
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      "gap_before": "",
      "gap_between": "",
      "gap_after": "-",
      "features": [
        "position:word_end",
        "length:5_to_7",
        "section_quarter:2"
      ],
      "context_runes": "ᛚᚱᛇᚦᚪᛁᛁᛒᚠᛁᛚᛄ"
    },
    {
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      "rune": "ᚫ",
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      "gap_before": "",
      "gap_between": "",
      "gap_after": "-",
      "features": [
        "position:word_end",
        "length:5_to_7",
        "section_quarter:2"
      ],
      "context_runes": "ᛄᛡᛒᚣᛗᚫᚫᛞᚻᛟᚪᚹ"
    },
    {
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      "right_position_in_word": 0,
      "gap_before": "",
      "gap_between": "-",
      "gap_after": "",
      "features": [
        "position:plain_word_boundary",
        "length:across_words",
        "section_quarter:2"
      ],
      "context_runes": "ᚪᛒᚷᛒᛈᛟᛟᛄᚠᚪᛖᛄ"
    },
    {
      "section": 8,
      "left_section_offset": 1313,
      "rune": "ᛉ",
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      "left_page_offset": 263,
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      "right_page_offset": 264,
      "left_word_length": 6,
      "left_position_in_word": 0,
      "right_word_length": 6,
      "right_position_in_word": 1,
      "gap_before": "-",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_start",
        "length:5_to_7",
        "section_quarter:2"
      ],
      "context_runes": "ᚻᚣᛏᛖᛝᛉᛉᛗᚾᚫᛋᚱ"
    },
    {
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      "right_page_offset": 140,
      "left_word_length": 3,
      "left_position_in_word": 0,
      "right_word_length": 3,
      "right_position_in_word": 1,
      "gap_before": "-",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_start",
        "length:3",
        "section_quarter:2"
      ],
      "context_runes": "ᛉᚪᛡᚹᛇᛖᛖᚹᛏᚪᚣᚠ"
    },
    {
      "section": 8,
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      "rune": "ᚩ",
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      "right_lp2_page": 45,
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      "left_word_length": 3,
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      "right_position_in_word": 0,
      "gap_before": "",
      "gap_between": "-",
      "gap_after": "",
      "features": [
        "position:plain_word_boundary",
        "length:across_words",
        "section_quarter:2"
      ],
      "context_runes": "ᚻᚫᛉᚣᛚᚩᚩᛡᚳᚻᛄᛋ"
    },
    {
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      "left_word_length": 7,
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      "gap_before": "",
      "gap_between": "/\n",
      "gap_after": "",
      "features": [
        "position:word_middle",
        "length:5_to_7",
        "layout:crosses_line",
        "section_quarter:3"
      ],
      "context_runes": "ᛁᚪᚱᚦᚱᛖᛖᚣᛋᚾᛖᛏ"
    },
    {
      "section": 8,
      "left_section_offset": 1958,
      "rune": "ᛈ",
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      "left_word_length": 3,
      "left_position_in_word": 1,
      "right_word_length": 3,
      "right_position_in_word": 2,
      "gap_before": "",
      "gap_between": "",
      "gap_after": "-",
      "features": [
        "position:word_end",
        "length:3",
        "section_quarter:3"
      ],
      "context_runes": "ᛝᛚᚷᛞᛒᛈᛈᛗᛁᚪᛖᛚ"
    },
    {
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      "left_word_length": 9,
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      "right_position_in_word": 0,
      "gap_before": "",
      "gap_between": "-",
      "gap_after": "",
      "features": [
        "position:plain_word_boundary",
        "length:across_words",
        "section_quarter:3"
      ],
      "context_runes": "ᚢᚹᚱᚣᚻᚹᚹᛡᛈᛁᚻᚾ"
    },
    {
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      "left_section_offset": 2204,
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      "left_word_length": 6,
      "left_position_in_word": 0,
      "right_word_length": 6,
      "right_position_in_word": 1,
      "gap_before": "/\n-",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_start",
        "length:5_to_7",
        "section_quarter:3"
      ],
      "context_runes": "ᛠᛈᛁᛡᚱᚹᚹᛟᚩᛒᚩᚾ"
    },
    {
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      "left_word_length": 3,
      "left_position_in_word": 0,
      "right_word_length": 3,
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      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_start",
        "length:3",
        "punctuation:immediately_before_pair",
        "section_quarter:3"
      ],
      "context_runes": "ᛇᚹᛄᛈᛞᚹᚹᛈᚠᛡᛚᛉ"
    },
    {
      "section": 8,
      "left_section_offset": 2733,
      "rune": "ᚣ",
      "label": "Y",
      "left_lp2_page": 52,
      "left_page_offset": 167,
      "right_lp2_page": 52,
      "right_page_offset": 168,
      "left_word_length": 3,
      "left_position_in_word": 1,
      "right_word_length": 3,
      "right_position_in_word": 2,
      "gap_before": "",
      "gap_between": "",
      "gap_after": "-",
      "features": [
        "position:word_end",
        "length:3",
        "section_quarter:4"
      ],
      "context_runes": "ᛁᚱᛒᚠᛏᚣᚣᛠᛒᚣᛚᚩ"
    },
    {
      "section": 8,
      "left_section_offset": 3027,
      "rune": "ᛝ",
      "label": "ING",
      "left_lp2_page": 54,
      "left_page_offset": 19,
      "right_lp2_page": 54,
      "right_page_offset": 20,
      "left_word_length": 3,
      "left_position_in_word": 2,
      "right_word_length": 6,
      "right_position_in_word": 0,
      "gap_before": "/\n",
      "gap_between": "-",
      "gap_after": "",
      "features": [
        "position:plain_word_boundary",
        "length:across_words",
        "section_quarter:4"
      ],
      "context_runes": "ᚹᚪᛗᛏᚪᛝᛝᚦᛡᚹᛋᚻ"
    },
    {
      "section": 8,
      "left_section_offset": 3163,
      "rune": "ᚷ",
      "label": "G",
      "left_lp2_page": 54,
      "left_page_offset": 155,
      "right_lp2_page": 54,
      "right_page_offset": 156,
      "left_word_length": 5,
      "left_position_in_word": 4,
      "right_word_length": 3,
      "right_position_in_word": 0,
      "gap_before": "",
      "gap_between": "-",
      "gap_after": "",
      "features": [
        "position:plain_word_boundary",
        "length:across_words",
        "section_quarter:4"
      ],
      "context_runes": "ᛏᛠᚣᛒᚢᚷᚷᚪᛇᚾᚷᚩ"
    },
    {
      "section": 8,
      "left_section_offset": 3298,
      "rune": "ᚦ",
      "label": "TH",
      "left_lp2_page": 55,
      "left_page_offset": 58,
      "right_lp2_page": 55,
      "right_page_offset": 59,
      "left_word_length": 7,
      "left_position_in_word": 3,
      "right_word_length": 7,
      "right_position_in_word": 4,
      "gap_before": "",
      "gap_between": "",
      "gap_after": "",
      "features": [
        "position:word_middle",
        "length:5_to_7",
        "section_quarter:4"
      ],
      "context_runes": "ᚷᛋᛖᛋᛇᚦᚦᛖᛋᚦᛟᚳ"
    }
  ],
  "global_max_standardized": 1.870991193293768,
  "global_family_comparison": 0.6614,
  "transcription_sha256": "b0b2e13c3cd35512ee5955a2d9a56c22d7410e283d35dd9c90abbaa7b99279eb",
  "limits": [
    "Exploratory retrospective analysis on previously inspected text; no decryption or causal inference.",
    "Null assumes repeat-event locations are exchangeable within each section; context-dependent mechanisms violate that assumption.",
    "Random placement generates event labels, not a shuffle of the actual rune sequence. It does not preserve rune-specific diagonal counts.",
    "Punctuation uses transcription classes; red color and dot counts are not encoded and are not tested.",
    "Features overlap; maximum-statistic comparison handles the declared family, not all hypotheses explored across prior sessions.",
    "Limited counts, especially at punctuation and page boundaries, reduce power. A non-detection does not show absence of an effect.",
    "No fresh full-page image transcription or signature authentication."
  ]
}
