{
  "pair_factor": "R = Z_3[eta]/(eta^2 - 3 eta)",
  "cm_indecomposables": [
    "B0",
    "R",
    "B3"
  ],
  "projectives": [
    "R"
  ],
  "singularity_category": {
    "indecomposables": [
      "B0",
      "B3"
    ],
    "shift": {
      "Sigma(B0)": "B3",
      "Sigma(B3)": "B0",
      "Sigma^2": "Id"
    },
    "AR_quiver": "B0 <-> B3 with 2-periodic translation",
    "grothendieck_group": "Z/2Z",
    "generator": "[B0] = [B3]"
  },
  "full_singular_order": {
    "order": "O_sing \u2245 Z_3(V7) \u00d7 R",
    "projectives": [
      "Z_3(V7)",
      "R"
    ],
    "singularity_category": "equivalent to the pair-factor singularity category"
  }
}