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data/cyclic_superset/dataset_dict.json

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+{"splits": ["train", "test"]}

data/cyclic_superset/metadata.json

@@ -0,0 +1,778 @@
+{
+  "group_type": "cyclic",
+  "max_degree": 30,
+  "subgroups": [
+    {
+      "degree": 3,
+      "order": 3,
+      "name": "C3"
+    },
+    {
+      "degree": 4,
+      "order": 4,
+      "name": "C4"
+    },
+    {
+      "degree": 5,
+      "order": 5,
+      "name": "C5"
+    },
+    {
+      "degree": 6,
+      "order": 6,
+      "name": "C6"
+    },
+    {
+      "degree": 7,
+      "order": 7,
+      "name": "C7"
+    },
+    {
+      "degree": 8,
+      "order": 8,
+      "name": "C8"
+    },
+    {
+      "degree": 9,
+      "order": 9,
+      "name": "C9"
+    },
+    {
+      "degree": 10,
+      "order": 10,
+      "name": "C10"
+    },
+    {
+      "degree": 11,
+      "order": 11,
+      "name": "C11"
+    },
+    {
+      "degree": 12,
+      "order": 12,
+      "name": "C12"
+    },
+    {
+      "degree": 13,
+      "order": 13,
+      "name": "C13"
+    },
+    {
+      "degree": 14,
+      "order": 14,
+      "name": "C14"
+    },
+    {
+      "degree": 15,
+      "order": 15,
+      "name": "C15"
+    },
+    {
+      "degree": 16,
+      "order": 16,
+      "name": "C16"
+    },
+    {
+      "degree": 17,
+      "order": 17,
+      "name": "C17"
+    },
+    {
+      "degree": 18,
+      "order": 18,
+      "name": "C18"
+    },
+    {
+      "degree": 19,
+      "order": 19,
+      "name": "C19"
+    },
+    {
+      "degree": 20,
+      "order": 20,
+      "name": "C20"
+    },
+    {
+      "degree": 21,
+      "order": 21,
+      "name": "C21"
+    },
+    {
+      "degree": 22,
+      "order": 22,
+      "name": "C22"
+    },
+    {
+      "degree": 23,
+      "order": 23,
+      "name": "C23"
+    },
+    {
+      "degree": 24,
+      "order": 24,
+      "name": "C24"
+    },
+    {
+      "degree": 25,
+      "order": 25,
+      "name": "C25"
+    },
+    {
+      "degree": 26,
+      "order": 26,
+      "name": "C26"
+    },
+    {
+      "degree": 27,
+      "order": 27,
+      "name": "C27"
+    },
+    {
+      "degree": 28,
+      "order": 28,
+      "name": "C28"
+    },
+    {
+      "degree": 29,
+      "order": 29,
+      "name": "C29"
+    },
+    {
+      "degree": 30,
+      "order": 30,
+      "name": "C30"
+    }
+  ],
+  "mappings": {
+    "3": {
+      "order": 3,
+      "name": "C3",
+      "id_to_perm": {
+        "0": "[0, 1, 2]",
+        "1": "[1, 2, 0]",
+        "2": "[2, 0, 1]"
+      }
+    },
+    "4": {
+      "order": 4,
+      "name": "C4",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3]",
+        "1": "[1, 2, 3, 0]",
+        "2": "[2, 3, 0, 1]",
+        "3": "[3, 0, 1, 2]"
+      }
+    },
+    "5": {
+      "order": 5,
+      "name": "C5",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4]",
+        "1": "[1, 2, 3, 4, 0]",
+        "2": "[2, 3, 4, 0, 1]",
+        "3": "[3, 4, 0, 1, 2]",
+        "4": "[4, 0, 1, 2, 3]"
+      }
+    },
+    "6": {
+      "order": 6,
+      "name": "C6",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5]",
+        "1": "[1, 2, 3, 4, 5, 0]",
+        "2": "[2, 3, 4, 5, 0, 1]",
+        "3": "[3, 4, 5, 0, 1, 2]",
+        "4": "[4, 5, 0, 1, 2, 3]",
+        "5": "[5, 0, 1, 2, 3, 4]"
+      }
+    },
+    "7": {
+      "order": 7,
+      "name": "C7",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6]",
+        "1": "[1, 2, 3, 4, 5, 6, 0]",
+        "2": "[2, 3, 4, 5, 6, 0, 1]",
+        "3": "[3, 4, 5, 6, 0, 1, 2]",
+        "4": "[4, 5, 6, 0, 1, 2, 3]",
+        "5": "[5, 6, 0, 1, 2, 3, 4]",
+        "6": "[6, 0, 1, 2, 3, 4, 5]"
+      }
+    },
+    "8": {
+      "order": 8,
+      "name": "C8",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 0, 1, 2, 3, 4, 5, 6]"
+      }
+    },
+    "9": {
+      "order": 9,
+      "name": "C9",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 0, 1, 2, 3, 4, 5, 6, 7]"
+      }
+    },
+    "10": {
+      "order": 10,
+      "name": "C10",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 0, 1, 2, 3, 4, 5, 6, 7, 8]"
+      }
+    },
+    "11": {
+      "order": 11,
+      "name": "C11",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]"
+      }
+    },
+    "12": {
+      "order": 12,
+      "name": "C12",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]"
+      }
+    },
+    "13": {
+      "order": 13,
+      "name": "C13",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]"
+      }
+    },
+    "14": {
+      "order": 14,
+      "name": "C14",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]"
+      }
+    },
+    "15": {
+      "order": 15,
+      "name": "C15",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]"
+      }
+    },
+    "16": {
+      "order": 16,
+      "name": "C16",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]"
+      }
+    },
+    "17": {
+      "order": 17,
+      "name": "C17",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]"
+      }
+    },
+    "18": {
+      "order": 18,
+      "name": "C18",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]"
+      }
+    },
+    "19": {
+      "order": 19,
+      "name": "C19",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]"
+      }
+    },
+    "20": {
+      "order": 20,
+      "name": "C20",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]"
+      }
+    },
+    "21": {
+      "order": 21,
+      "name": "C21",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "20": "[20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]"
+      }
+    },
+    "22": {
+      "order": 22,
+      "name": "C22",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "20": "[20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]",
+        "21": "[21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]"
+      }
+    },
+    "23": {
+      "order": 23,
+      "name": "C23",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "20": "[20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]",
+        "21": "[21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]",
+        "22": "[22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]"
+      }
+    },
+    "24": {
+      "order": 24,
+      "name": "C24",
+      "id_to_perm": {
+        "0": "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "20": "[20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]",
+        "21": "[21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]",
+        "22": "[22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]",
+        "23": "[23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22]"
+      }
+    },
+    "25": {
+      "order": 25,
+      "name": "C25",
+      "id_to_perm": {
+        "0": "[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]",
+        "1": "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "20": "[20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]",
+        "21": "[21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]",
+        "22": "[22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]",
+        "23": "[23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22]",
+        "24": "[24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]"
+      }
+    },
+    "26": {
+      "order": 26,
+      "name": "C26",
+      "id_to_perm": {
+        "0": "[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]",
+        "1": "[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, 0]",
+        "2": "[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "20": "[20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]",
+        "21": "[21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]",
+        "22": "[22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]",
+        "23": "[23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22]",
+        "24": "[24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]",
+        "25": "[25, 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]"
+      }
+    },
+    "27": {
+      "order": 27,
+      "name": "C27",
+      "id_to_perm": {
+        "0": "[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]",
+        "1": "[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, 0]",
+        "2": "[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, 0, 1]",
+        "3": "[3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "20": "[20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]",
+        "21": "[21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]",
+        "22": "[22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]",
+        "23": "[23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22]",
+        "24": "[24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]",
+        "25": "[25, 26, 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]",
+        "26": "[26, 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]"
+      }
+    },
+    "28": {
+      "order": 28,
+      "name": "C28",
+      "id_to_perm": {
+        "0": "[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]",
+        "1": "[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, 0]",
+        "2": "[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, 0, 1]",
+        "3": "[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, 0, 1, 2]",
+        "4": "[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
+        "14": "[14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13]",
+        "15": "[15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]",
+        "16": "[16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]",
+        "17": "[17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]",
+        "18": "[18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]",
+        "19": "[19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]",
+        "20": "[20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]",
+        "21": "[21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]",
+        "22": "[22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]",
+        "23": "[23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22]",
+        "24": "[24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]",
+        "25": "[25, 26, 27, 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]",
+        "26": "[26, 27, 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]",
+        "27": "[27, 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]"
+      }
+    },
+    "29": {
+      "order": 29,
+      "name": "C29",
+      "id_to_perm": {
+        "0": "[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]",
+        "1": "[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]",
+        "2": "[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]",
+        "3": "[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]",
+        "4": "[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]",
+        "5": "[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]",
+        "6": "[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]",
+        "7": "[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]",
+        "8": "[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]",
+        "9": "[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]",
+        "10": "[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]",
+        "11": "[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]",
+        "12": "[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]",
+        "13": "[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]",
+        "14": "[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]",
+        "15": "[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]",
+        "16": "[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]",
+        "17": "[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]",
+        "18": "[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]",
+        "19": "[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]",
+        "20": "[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]",
+        "21": "[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]",
+        "22": "[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]",
+        "23": "[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]",
+        "24": "[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]",
+        "25": "[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]",
+        "26": "[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]",
+        "27": "[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]",
+        "28": "[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]"
+      }
+    },
+    "30": {
+      "order": 30,
+      "name": "C30",
+      "id_to_perm": {
+        "0": "[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, 29]",
+        "1": "[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, 29, 0]",
+        "2": "[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, 29, 0, 1]",
+        "3": "[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, 29, 0, 1, 2]",
+        "4": "[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, 29, 0, 1, 2, 3]",
+        "5": "[5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4]",
+        "6": "[6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5]",
+        "7": "[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6]",
+        "8": "[8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6, 7]",
+        "9": "[9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6, 7, 8]",
+        "10": "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]",
+        "11": "[11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]",
+        "12": "[12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]",
+        "13": "[13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]",
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