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      "shortest_length": 1
    },
    {
      "input": 3206,
      "output": 3210,
      "gap": 4,
      "shortest_length": 2
    },
    {
      "input": 3167,
      "output": 3209,
      "gap": 42,
      "shortest_length": 1
    },
    {
      "input": 3168,
      "output": 3208,
      "gap": 40,
      "shortest_length": 1
    },
    {
      "input": 3169,
      "output": 3207,
      "gap": 38,
      "shortest_length": 1
    },
    {
      "input": 3186,
      "output": 3190,
      "gap": 4,
      "shortest_length": 1
    },
    {
      "input": 3235,
      "output": 3265,
      "gap": 30,
      "shortest_length": 1
    },
    {
      "input": 3246,
      "output": 3250,
      "gap": 4,
      "shortest_length": 1
    }
  ],
  "K_hits": [],
  "seed_locations": [
    {
      "coordinate": 3620,
      "component": {
        "coordinates": [
          2756,
          2760,
          3620,
          3624
        ],
        "size": 4,
        "edges": 3,
        "loops": 0,
        "diameter": 3,
        "span": 868
      }
    },
    {
      "coordinate": 3206,
      "component": {
        "coordinates": [
          3166,
          3170,
          3206,
          3210
        ],
        "size": 4,
        "edges": 3,
        "loops": 0,
        "diameter": 3,
        "span": 44
      }
    },
    {
      "coordinate": 3188,
      "component": {
        "coordinates": [
          3188
        ],
        "size": 1,
        "edges": 1,
        "loops": 1,
        "diameter": 0,
        "span": 0
      }
    },
    {
      "coordinate": 3170,
      "component": {
        "coordinates": [
          3166,
          3170,
          3206,
          3210
        ],
        "size": 4,
        "edges": 3,
        "loops": 0,
        "diameter": 3,
        "span": 44
      }
    },
    {
      "coordinate": 2756,
      "component": {
        "coordinates": [
          2756,
          2760,
          3620,
          3624
        ],
        "size": 4,
        "edges": 3,
        "loops": 0,
        "diameter": 3,
        "span": 868
      }
    },
    {
      "coordinate": 2148,
      "component": {
        "coordinates": [
          2148
        ],
        "size": 1,
        "edges": 0,
        "loops": 0,
        "diameter": 0,
        "span": 0
      }
    },
    {
      "coordinate": 2020,
      "component": {
        "coordinates": [
          2020
        ],
        "size": 1,
        "edges": 0,
        "loops": 0,
        "diameter": 0,
        "span": 0
      }
    },
    {
      "coordinate": 1956,
      "component": {
        "coordinates": [
          1956
        ],
        "size": 1,
        "edges": 0,
        "loops": 0,
        "diameter": 0,
        "span": 0
      }
    }
  ],
  "counts": {
    "pairs": 191,
    "nonzero_K_hits": 0,
    "odd_gaps": 0
  },
  "invariant": "Every fixed center is even; each reflection preserves coordinate parity, and every even-length word preserves the coordinate modulo4."
}