{
  "seed": 3301025,
  "simulations": 999,
  "distances": [
    1,
    2,
    3,
    4,
    5,
    6,
    7,
    8,
    9,
    10,
    11,
    12
  ],
  "split": "First four substantial sections fit repeat probability; last four evaluate it. All sections have appeared in earlier work, so this is retrospective validation, not untouched data.",
  "model": "Uniform first rune. Repeat previous rune with probability p; otherwise choose uniformly from the other 28. Independent section starts. No word or page resets.",
  "training": {
    "sections": [
      0,
      1,
      2,
      4
    ],
    "equal": 29,
    "pairs": 5493,
    "p": 0.005279446568359731
  },
  "evaluation_sections": [
    5,
    6,
    7,
    8
  ],
  "sections": [
    {
      "section": 0,
      "runes": 729,
      "initial_page_offset": 0,
      "lag": [
        {
          "distance": 1,
          "equal": 4,
          "pairs": 728
        },
        {
          "distance": 2,
          "equal": 16,
          "pairs": 727
        },
        {
          "distance": 3,
          "equal": 26,
          "pairs": 726
        },
        {
          "distance": 4,
          "equal": 24,
          "pairs": 725
        },
        {
          "distance": 5,
          "equal": 25,
          "pairs": 724
        },
        {
          "distance": 6,
          "equal": 18,
          "pairs": 723
        },
        {
          "distance": 7,
          "equal": 35,
          "pairs": 722
        },
        {
          "distance": 8,
          "equal": 31,
          "pairs": 721
        },
        {
          "distance": 9,
          "equal": 27,
          "pairs": 720
        },
        {
          "distance": 10,
          "equal": 31,
          "pairs": 719
        },
        {
          "distance": 11,
          "equal": 24,
          "pairs": 718
        },
        {
          "distance": 12,
          "equal": 33,
          "pairs": 717
        }
      ],
      "within_word": {
        "equal": 2,
        "pairs": 571
      },
      "across_word": {
        "equal": 2,
        "pairs": 157
      },
      "parity": {
        "section": [
          {
            "equal": 2,
            "pairs": 364
          },
          {
            "equal": 2,
            "pairs": 364
          }
        ],
        "page": [
          {
            "equal": 2,
            "pairs": 364
          },
          {
            "equal": 2,
            "pairs": 364
          }
        ]
      },
      "diagonal": [
        0,
        0,
        1,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        1,
        0,
        0,
        1,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        1
      ],
      "parity_inventory": {
        "section": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ],
        "page": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ]
      }
    },
    {
      "section": 1,
      "runes": 1145,
      "initial_page_offset": 201,
      "lag": [
        {
          "distance": 1,
          "equal": 6,
          "pairs": 1144
        },
        {
          "distance": 2,
          "equal": 45,
          "pairs": 1143
        },
        {
          "distance": 3,
          "equal": 40,
          "pairs": 1142
        },
        {
          "distance": 4,
          "equal": 42,
          "pairs": 1141
        },
        {
          "distance": 5,
          "equal": 31,
          "pairs": 1140
        },
        {
          "distance": 6,
          "equal": 38,
          "pairs": 1139
        },
        {
          "distance": 7,
          "equal": 42,
          "pairs": 1138
        },
        {
          "distance": 8,
          "equal": 42,
          "pairs": 1137
        },
        {
          "distance": 9,
          "equal": 47,
          "pairs": 1136
        },
        {
          "distance": 10,
          "equal": 39,
          "pairs": 1135
        },
        {
          "distance": 11,
          "equal": 19,
          "pairs": 1134
        },
        {
          "distance": 12,
          "equal": 39,
          "pairs": 1133
        }
      ],
      "within_word": {
        "equal": 4,
        "pairs": 889
      },
      "across_word": {
        "equal": 2,
        "pairs": 255
      },
      "parity": {
        "section": [
          {
            "equal": 3,
            "pairs": 572
          },
          {
            "equal": 3,
            "pairs": 572
          }
        ],
        "page": [
          {
            "equal": 4,
            "pairs": 574
          },
          {
            "equal": 2,
            "pairs": 570
          }
        ]
      },
      "diagonal": [
        0,
        0,
        0,
        0,
        0,
        0,
        1,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        1,
        0,
        0,
        0,
        0,
        1,
        1,
        0,
        0,
        0,
        2,
        0,
        0,
        0
      ],
      "parity_inventory": {
        "section": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ],
        "page": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ]
      }
    },
    {
      "section": 2,
      "runes": 1729,
      "initial_page_offset": 208,
      "lag": [
        {
          "distance": 1,
          "equal": 9,
          "pairs": 1728
        },
        {
          "distance": 2,
          "equal": 49,
          "pairs": 1727
        },
        {
          "distance": 3,
          "equal": 56,
          "pairs": 1726
        },
        {
          "distance": 4,
          "equal": 59,
          "pairs": 1725
        },
        {
          "distance": 5,
          "equal": 63,
          "pairs": 1724
        },
        {
          "distance": 6,
          "equal": 64,
          "pairs": 1723
        },
        {
          "distance": 7,
          "equal": 54,
          "pairs": 1722
        },
        {
          "distance": 8,
          "equal": 59,
          "pairs": 1721
        },
        {
          "distance": 9,
          "equal": 59,
          "pairs": 1720
        },
        {
          "distance": 10,
          "equal": 58,
          "pairs": 1719
        },
        {
          "distance": 11,
          "equal": 56,
          "pairs": 1718
        },
        {
          "distance": 12,
          "equal": 55,
          "pairs": 1717
        }
      ],
      "within_word": {
        "equal": 7,
        "pairs": 1346
      },
      "across_word": {
        "equal": 2,
        "pairs": 382
      },
      "parity": {
        "section": [
          {
            "equal": 3,
            "pairs": 864
          },
          {
            "equal": 6,
            "pairs": 864
          }
        ],
        "page": [
          {
            "equal": 4,
            "pairs": 866
          },
          {
            "equal": 5,
            "pairs": 862
          }
        ]
      },
      "diagonal": [
        1,
        1,
        0,
        0,
        0,
        0,
        1,
        0,
        0,
        1,
        0,
        1,
        0,
        0,
        1,
        0,
        0,
        0,
        0,
        0,
        0,
        0,
        1,
        0,
        0,
        1,
        1,
        0,
        0
      ],
      "parity_inventory": {
        "section": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ],
        "page": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ]
      }
    },
    {
      "section": 4,
      "runes": 1894,
      "initial_page_offset": 9,
      "lag": [
        {
          "distance": 1,
          "equal": 10,
          "pairs": 1893
        },
        {
          "distance": 2,
          "equal": 65,
          "pairs": 1892
        },
        {
          "distance": 3,
          "equal": 74,
          "pairs": 1891
        },
        {
          "distance": 4,
          "equal": 61,
          "pairs": 1890
        },
        {
          "distance": 5,
          "equal": 86,
          "pairs": 1889
        },
        {
          "distance": 6,
          "equal": 69,
          "pairs": 1888
        },
        {
          "distance": 7,
          "equal": 76,
          "pairs": 1887
        },
        {
          "distance": 8,
          "equal": 69,
          "pairs": 1886
        },
        {
          "distance": 9,
          "equal": 74,
          "pairs": 1885
        },
        {
          "distance": 10,
          "equal": 65,
          "pairs": 1884
        },
        {
          "distance": 11,
          "equal": 58,
          "pairs": 1883
        },
        {
          "distance": 12,
          "equal": 53,
          "pairs": 1882
        }
      ],
      "within_word": {
        "equal": 10,
        "pairs": 1458
      },
      "across_word": {
        "equal": 0,
        "pairs": 435
      },
      "parity": {
        "section": [
          {
            "equal": 5,
            "pairs": 947
          },
          {
            "equal": 5,
            "pairs": 946
          }
        ],
        "page": [
          {
            "equal": 5,
            "pairs": 949
          },
          {
            "equal": 5,
            "pairs": 944
          }
        ]
      },
      "diagonal": [
        0,
        0,
        0,
        1,
        0,
        0,
        1,
        1,
        1,
        0,
        0,
        1,
        0,
        0,
        1,
        0,
        0,
        0,
        0,
        1,
        0,
        0,
        0,
        1,
        0,
        0,
        0,
        1,
        1
      ],
      "parity_inventory": {
        "section": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ],
        "page": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ]
      }
    },
    {
      "section": 5,
      "runes": 1021,
      "initial_page_offset": 131,
      "lag": [
        {
          "distance": 1,
          "equal": 11,
          "pairs": 1020
        },
        {
          "distance": 2,
          "equal": 38,
          "pairs": 1019
        },
        {
          "distance": 3,
          "equal": 30,
          "pairs": 1018
        },
        {
          "distance": 4,
          "equal": 34,
          "pairs": 1017
        },
        {
          "distance": 5,
          "equal": 38,
          "pairs": 1016
        },
        {
          "distance": 6,
          "equal": 30,
          "pairs": 1015
        },
        {
          "distance": 7,
          "equal": 38,
          "pairs": 1014
        },
        {
          "distance": 8,
          "equal": 35,
          "pairs": 1013
        },
        {
          "distance": 9,
          "equal": 30,
          "pairs": 1012
        },
        {
          "distance": 10,
          "equal": 31,
          "pairs": 1011
        },
        {
          "distance": 11,
          "equal": 36,
          "pairs": 1010
        },
        {
          "distance": 12,
          "equal": 27,
          "pairs": 1009
        }
      ],
      "within_word": {
        "equal": 9,
        "pairs": 797
      },
      "across_word": {
        "equal": 2,
        "pairs": 223
      },
      "parity": {
        "section": [
          {
            "equal": 5,
            "pairs": 510
          },
          {
            "equal": 6,
            "pairs": 510
          }
        ],
        "page": [
          {
            "equal": 7,
            "pairs": 511
          },
          {
            "equal": 4,
            "pairs": 509
          }
        ]
      },
      "diagonal": [
        0,
        1,
        0,
        1,
        0,
        0,
        1,
        0,
        0,
        1,
        0,
        0,
        0,
        0,
        1,
        2,
        0,
        0,
        1,
        0,
        1,
        0,
        0,
        0,
        0,
        1,
        0,
        1,
        0
      ],
      "parity_inventory": {
        "section": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ],
        "page": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ]
      }
    },
    {
      "section": 6,
      "runes": 1524,
      "initial_page_offset": 265,
      "lag": [
        {
          "distance": 1,
          "equal": 13,
          "pairs": 1523
        },
        {
          "distance": 2,
          "equal": 59,
          "pairs": 1522
        },
        {
          "distance": 3,
          "equal": 37,
          "pairs": 1521
        },
        {
          "distance": 4,
          "equal": 57,
          "pairs": 1520
        },
        {
          "distance": 5,
          "equal": 52,
          "pairs": 1519
        },
        {
          "distance": 6,
          "equal": 49,
          "pairs": 1518
        },
        {
          "distance": 7,
          "equal": 48,
          "pairs": 1517
        },
        {
          "distance": 8,
          "equal": 46,
          "pairs": 1516
        },
        {
          "distance": 9,
          "equal": 51,
          "pairs": 1515
        },
        {
          "distance": 10,
          "equal": 48,
          "pairs": 1514
        },
        {
          "distance": 11,
          "equal": 48,
          "pairs": 1513
        },
        {
          "distance": 12,
          "equal": 65,
          "pairs": 1512
        }
      ],
      "within_word": {
        "equal": 8,
        "pairs": 1175
      },
      "across_word": {
        "equal": 5,
        "pairs": 348
      },
      "parity": {
        "section": [
          {
            "equal": 7,
            "pairs": 762
          },
          {
            "equal": 6,
            "pairs": 761
          }
        ],
        "page": [
          {
            "equal": 3,
            "pairs": 764
          },
          {
            "equal": 10,
            "pairs": 759
          }
        ]
      },
      "diagonal": [
        2,
        0,
        1,
        1,
        1,
        1,
        0,
        0,
        0,
        1,
        0,
        0,
        2,
        0,
        0,
        0,
        0,
        0,
        1,
        1,
        1,
        0,
        0,
        0,
        0,
        1,
        0,
        0,
        0
      ],
      "parity_inventory": {
        "section": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ],
        "page": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ]
      }
    },
    {
      "section": 7,
      "runes": 1589,
      "initial_page_offset": 91,
      "lag": [
        {
          "distance": 1,
          "equal": 12,
          "pairs": 1588
        },
        {
          "distance": 2,
          "equal": 62,
          "pairs": 1587
        },
        {
          "distance": 3,
          "equal": 49,
          "pairs": 1586
        },
        {
          "distance": 4,
          "equal": 59,
          "pairs": 1585
        },
        {
          "distance": 5,
          "equal": 58,
          "pairs": 1584
        },
        {
          "distance": 6,
          "equal": 76,
          "pairs": 1583
        },
        {
          "distance": 7,
          "equal": 48,
          "pairs": 1582
        },
        {
          "distance": 8,
          "equal": 52,
          "pairs": 1581
        },
        {
          "distance": 9,
          "equal": 64,
          "pairs": 1580
        },
        {
          "distance": 10,
          "equal": 67,
          "pairs": 1579
        },
        {
          "distance": 11,
          "equal": 51,
          "pairs": 1578
        },
        {
          "distance": 12,
          "equal": 47,
          "pairs": 1577
        }
      ],
      "within_word": {
        "equal": 8,
        "pairs": 1234
      },
      "across_word": {
        "equal": 4,
        "pairs": 354
      },
      "parity": {
        "section": [
          {
            "equal": 9,
            "pairs": 794
          },
          {
            "equal": 3,
            "pairs": 794
          }
        ],
        "page": [
          {
            "equal": 4,
            "pairs": 795
          },
          {
            "equal": 8,
            "pairs": 793
          }
        ]
      },
      "diagonal": [
        1,
        0,
        1,
        0,
        1,
        0,
        0,
        1,
        1,
        0,
        0,
        1,
        0,
        0,
        1,
        0,
        2,
        0,
        0,
        0,
        0,
        0,
        0,
        1,
        1,
        1,
        0,
        0,
        0
      ],
      "parity_inventory": {
        "section": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ],
        "page": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ]
      }
    },
    {
      "section": 8,
      "runes": 3316,
      "initial_page_offset": 240,
      "lag": [
        {
          "distance": 1,
          "equal": 21,
          "pairs": 3315
        },
        {
          "distance": 2,
          "equal": 107,
          "pairs": 3314
        },
        {
          "distance": 3,
          "equal": 127,
          "pairs": 3313
        },
        {
          "distance": 4,
          "equal": 121,
          "pairs": 3312
        },
        {
          "distance": 5,
          "equal": 124,
          "pairs": 3311
        },
        {
          "distance": 6,
          "equal": 110,
          "pairs": 3310
        },
        {
          "distance": 7,
          "equal": 105,
          "pairs": 3309
        },
        {
          "distance": 8,
          "equal": 102,
          "pairs": 3308
        },
        {
          "distance": 9,
          "equal": 107,
          "pairs": 3307
        },
        {
          "distance": 10,
          "equal": 102,
          "pairs": 3306
        },
        {
          "distance": 11,
          "equal": 91,
          "pairs": 3305
        },
        {
          "distance": 12,
          "equal": 117,
          "pairs": 3304
        }
      ],
      "within_word": {
        "equal": 15,
        "pairs": 2580
      },
      "across_word": {
        "equal": 6,
        "pairs": 735
      },
      "parity": {
        "section": [
          {
            "equal": 10,
            "pairs": 1658
          },
          {
            "equal": 11,
            "pairs": 1657
          }
        ],
        "page": [
          {
            "equal": 6,
            "pairs": 1661
          },
          {
            "equal": 15,
            "pairs": 1654
          }
        ]
      },
      "diagonal": [
        0,
        0,
        1,
        1,
        0,
        0,
        1,
        4,
        0,
        1,
        2,
        0,
        0,
        1,
        1,
        0,
        0,
        0,
        2,
        0,
        0,
        1,
        3,
        0,
        0,
        1,
        1,
        0,
        1
      ],
      "parity_inventory": {
        "section": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ],
        "page": [
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ],
          [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28
          ]
        ]
      }
    }
  ],
  "evaluation_lag": [
    {
      "distance": 1,
      "pairs": 7446,
      "analytic_expected": 39.31075914800653,
      "observed": 57,
      "mean": 39.473473473473476,
      "central_95_percent": [
        28.0,
        53.0
      ],
      "minimum": 20,
      "maximum": 62,
      "simulations_at_or_below": 995,
      "simulations_at_or_above": 5
    },
    {
      "distance": 2,
      "pairs": 7442,
      "analytic_expected": 263.19414702078757,
      "observed": 266,
      "mean": 263.19319319319317,
      "central_95_percent": [
        233.95,
        294.04999999999995
      ],
      "minimum": 206,
      "maximum": 316,
      "simulations_at_or_below": 599,
      "simulations_at_or_above": 438
    },
    {
      "distance": 3,
      "pairs": 7438,
      "analytic_expected": 256.28404280464093,
      "observed": 243,
      "mean": 255.47247247247248,
      "central_95_percent": [
        225.0,
        286.0
      ],
      "minimum": 208,
      "maximum": 311,
      "simulations_at_or_below": 226,
      "simulations_at_or_above": 791
    },
    {
      "distance": 4,
      "pairs": 7434,
      "analytic_expected": 256.3508347696313,
      "observed": 271,
      "mean": 255.94394394394394,
      "central_95_percent": [
        225.0,
        286.0
      ],
      "minimum": 196,
      "maximum": 306,
      "simulations_at_or_below": 839,
      "simulations_at_or_above": 177
    },
    {
      "distance": 5,
      "pairs": 7430,
      "analytic_expected": 256.20671495449164,
      "observed": 272,
      "mean": 256.037037037037,
      "central_95_percent": [
        225.0,
        287.0
      ],
      "minimum": 207,
      "maximum": 302,
      "simulations_at_or_below": 856,
      "simulations_at_or_above": 157
    },
    {
      "distance": 6,
      "pairs": 7426,
      "analytic_expected": 256.06897100692646,
      "observed": 265,
      "mean": 254.96396396396398,
      "central_95_percent": [
        224.0,
        287.04999999999995
      ],
      "minimum": 205,
      "maximum": 304,
      "simulations_at_or_below": 759,
      "simulations_at_or_above": 263
    },
    {
      "distance": 7,
      "pairs": 7422,
      "analytic_expected": 255.93103431680547,
      "observed": 239,
      "mean": 256.33033033033036,
      "central_95_percent": [
        226.0,
        288.0
      ],
      "minimum": 206,
      "maximum": 307,
      "simulations_at_or_below": 144,
      "simulations_at_or_above": 869
    },
    {
      "distance": 8,
      "pairs": 7418,
      "analytic_expected": 255.7931034532926,
      "observed": 235,
      "mean": 257.037037037037,
      "central_95_percent": [
        226.0,
        289.0
      ],
      "minimum": 209,
      "maximum": 312,
      "simulations_at_or_below": 87,
      "simulations_at_or_above": 916
    },
    {
      "distance": 9,
      "pairs": 7414,
      "analytic_expected": 255.65517241364145,
      "observed": 252,
      "mean": 255.45545545545545,
      "central_95_percent": [
        225.0,
        287.0
      ],
      "minimum": 213,
      "maximum": 305,
      "simulations_at_or_below": 445,
      "simulations_at_or_above": 586
    },
    {
      "distance": 10,
      "pairs": 7410,
      "analytic_expected": 255.51724137931492,
      "observed": 248,
      "mean": 255.91991991991992,
      "central_95_percent": [
        225.0,
        289.0
      ],
      "minimum": 202,
      "maximum": 307,
      "simulations_at_or_below": 332,
      "simulations_at_or_above": 687
    },
    {
      "distance": 11,
      "pairs": 7406,
      "analytic_expected": 255.37931034482742,
      "observed": 226,
      "mean": 254.47447447447448,
      "central_95_percent": [
        225.95,
        287.0999999999999
      ],
      "minimum": 197,
      "maximum": 321,
      "simulations_at_or_below": 34,
      "simulations_at_or_above": 974
    },
    {
      "distance": 12,
      "pairs": 7402,
      "analytic_expected": 255.24137931034483,
      "observed": 256,
      "mean": 254.8878878878879,
      "central_95_percent": [
        225.95,
        288.0
      ],
      "minimum": 205,
      "maximum": 304,
      "simulations_at_or_below": 551,
      "simulations_at_or_above": 479
    }
  ],
  "evaluation_boundaries": {
    "within_word": {
      "pairs": 5786,
      "independent_uniform_expected": 199.51724137931035,
      "observed": 40,
      "mean": 30.575575575575577,
      "central_95_percent": [
        21.0,
        43.0
      ],
      "minimum": 16,
      "maximum": 50,
      "simulations_at_or_below": 951,
      "simulations_at_or_above": 65
    },
    "across_word": {
      "pairs": 1660,
      "independent_uniform_expected": 57.241379310344826,
      "observed": 17,
      "mean": 8.897897897897899,
      "central_95_percent": [
        3.0,
        15.0
      ],
      "minimum": 1,
      "maximum": 21,
      "simulations_at_or_below": 996,
      "simulations_at_or_above": 8
    }
  },
  "evaluation_parity": {
    "section": [
      {
        "left_rune_phase": 0,
        "pairs": 3724,
        "independent_uniform_expected": 128.41379310344828,
        "observed": 31,
        "mean": 19.864864864864863,
        "central_95_percent": [
          12.0,
          29.0
        ],
        "minimum": 8,
        "maximum": 35,
        "simulations_at_or_below": 989,
        "simulations_at_or_above": 17
      },
      {
        "left_rune_phase": 1,
        "pairs": 3722,
        "independent_uniform_expected": 128.3448275862069,
        "observed": 26,
        "mean": 19.60860860860861,
        "central_95_percent": [
          11.0,
          29.0
        ],
        "minimum": 9,
        "maximum": 35,
        "simulations_at_or_below": 934,
        "simulations_at_or_above": 104
      }
    ],
    "page": [
      {
        "left_rune_phase": 0,
        "pairs": 3731,
        "independent_uniform_expected": 128.6551724137931,
        "observed": 20,
        "mean": 19.772772772772772,
        "central_95_percent": [
          12.0,
          29.0
        ],
        "minimum": 6,
        "maximum": 37,
        "simulations_at_or_below": 572,
        "simulations_at_or_above": 520
      },
      {
        "left_rune_phase": 1,
        "pairs": 3715,
        "independent_uniform_expected": 128.10344827586206,
        "observed": 37,
        "mean": 19.7007007007007,
        "central_95_percent": [
          11.0,
          29.0
        ],
        "minimum": 5,
        "maximum": 36,
        "simulations_at_or_below": 999,
        "simulations_at_or_above": 0
      }
    ]
  },
  "simultaneous_lag_check": {
    "observed_max_abs_standardized": 2.740902208355798,
    "simulated_95_percent_threshold": 2.893667875425932,
    "simulations_at_or_above": 72,
    "caveat": "Descriptive model check with fitted p treated as fixed; not a formal cipher probability."
  },
  "known_plaintext_adjacent_counts": [
    {
      "group": "warning",
      "runes": 184,
      "equal": 5,
      "pairs": 183
    },
    {
      "group": "wisdom",
      "runes": 157,
      "equal": 7,
      "pairs": 156
    },
    {
      "group": "koan",
      "runes": 778,
      "equal": 14,
      "pairs": 777
    },
    {
      "group": "divinity",
      "runes": 755,
      "equal": 18,
      "pairs": 754
    },
    {
      "group": "instruction",
      "runes": 89,
      "equal": 3,
      "pairs": 88
    }
  ],
  "controls": {
    "analytic_lag_one_equals_p": true,
    "analytic_iid_limit": true
  },
  "transcription_sha256": "b0b2e13c3cd35512ee5955a2d9a56c22d7410e283d35dd9c90abbaa7b99279eb",
  "limits": [
    "No decryption, plaintext ranking or key search.",
    "Toy model assumes uniform rune marginals and symmetric transitions; not an identified cipher.",
    "Simulation bands exclude uncertainty in the fitted probability and are not posterior probabilities.",
    "Does not model the known repeated six-rune phrase or exact bigram counts.",
    "Independent-uniform restart and pair-boundary predictions apply only to those explicitly restricted models.",
    "Source relies on retained transcription and prior cross-checks; not a fresh full image transcription."
  ]
}