{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0J817RTVG6"
    }
  ],
  "body": "\n## Summary\n\nA primitive $n$th root of unity is an $n$th [[root of unity|0YV2CKP2AV]] that is not a $k$th root of unity for a smaller positive $k$.\nIts powers give all the $n$th roots of unity.\n",
  "commit": "545acf83a9b75c8ddc375ef8b23d2ae101a4d7e4",
  "front": {
    "kind": "concept",
    "msc": [
      "11R18"
    ],
    "name": "Primitive root of unity",
    "sources": [
      {
        "locator": "General definition",
        "url": "https://en.wikipedia.org/wiki/Root_of_unity"
      }
    ],
    "tag": "0EHM5ZP5QH"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0EHM5ZP5QH/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0EHM5ZP5QH.md",
  "msc": [
    "11R18"
  ],
  "name": "Primitive root of unity",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0EH/0EHM5ZP5QH.md",
  "status": null,
  "tag": "0EHM5ZP5QH",
  "uri": "m2://0EHM5ZP5QH",
  "url": "https://math2.tamnd.com/wiki/primitive-root-of-unity/",
  "writing": {
    "tag": "0EHM5ZP5QH",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
