{
  "stable_ext_algebra": {
    "generators": {
      "x": "B0 -> B3, degree 1",
      "y": "B3 -> B0, degree 1",
      "u": "periodicity class, degree 2"
    },
    "relations": {
      "yx": "u e0",
      "xy": "u e3"
    },
    "normal_form_families": {
      "B0->B0": "u^m e0",
      "B3->B3": "u^m e3",
      "B0->B3": "u^m x",
      "B3->B0": "u^m y"
    }
  },
  "sample_normal_forms": {
    "B0": [
      {
        "word": "id",
        "target": "B0",
        "degree": 0,
        "family": "u^0 e_0"
      },
      {
        "word": "x",
        "target": "B3",
        "degree": 1,
        "family": "x"
      },
      {
        "word": "xy",
        "target": "B0",
        "degree": 2,
        "family": "u^1 e_0"
      },
      {
        "word": "xyx",
        "target": "B3",
        "degree": 3,
        "family": "u^1 x"
      },
      {
        "word": "xyxy",
        "target": "B0",
        "degree": 4,
        "family": "u^2 e_0"
      },
      {
        "word": "xyxyx",
        "target": "B3",
        "degree": 5,
        "family": "u^2 x"
      },
      {
        "word": "xyxyxy",
        "target": "B0",
        "degree": 6,
        "family": "u^3 e_0"
      },
      {
        "word": "xyxyxyx",
        "target": "B3",
        "degree": 7,
        "family": "u^3 x"
      },
      {
        "word": "xyxyxyxy",
        "target": "B0",
        "degree": 8,
        "family": "u^4 e_0"
      },
      {
        "word": "xyxyxyxyx",
        "target": "B3",
        "degree": 9,
        "family": "u^4 x"
      },
      {
        "word": "xyxyxyxyxy",
        "target": "B0",
        "degree": 10,
        "family": "u^5 e_0"
      }
    ],
    "B3": [
      {
        "word": "id",
        "target": "B3",
        "degree": 0,
        "family": "u^0 e_3"
      },
      {
        "word": "y",
        "target": "B0",
        "degree": 1,
        "family": "y"
      },
      {
        "word": "yx",
        "target": "B3",
        "degree": 2,
        "family": "u^1 e_3"
      },
      {
        "word": "yxy",
        "target": "B0",
        "degree": 3,
        "family": "u^1 y"
      },
      {
        "word": "yxyx",
        "target": "B3",
        "degree": 4,
        "family": "u^2 e_3"
      },
      {
        "word": "yxyxy",
        "target": "B0",
        "degree": 5,
        "family": "u^2 y"
      },
      {
        "word": "yxyxyx",
        "target": "B3",
        "degree": 6,
        "family": "u^3 e_3"
      },
      {
        "word": "yxyxyxy",
        "target": "B0",
        "degree": 7,
        "family": "u^3 y"
      },
      {
        "word": "yxyxyxyx",
        "target": "B3",
        "degree": 8,
        "family": "u^4 e_3"
      },
      {
        "word": "yxyxyxyxy",
        "target": "B0",
        "degree": 9,
        "family": "u^4 y"
      },
      {
        "word": "yxyxyxyxyx",
        "target": "B3",
        "degree": 10,
        "family": "u^5 e_3"
      }
    ]
  }
}