"imperium merum" meaning in Latin

{
  "forms": [
    {
      "form": "imperiī merī",
      "tags": [
        "genitive"
      ]
    },
    {
      "form": "imperī merī",
      "tags": [
        "genitive"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "imperium<2> merum<+>"
      },
      "expansion": "imperium merum n (genitive imperiī merī or imperī merī); second declension",
      "name": "la-noun"
    }
  ],
  "lang": "Latin",
  "lang_code": "la",
  "pos": "noun",
  "senses": [
    {
      "alt_of": [
        {
          "word": "merum imperium"
        }
      ],
      "categories": [
        {
          "kind": "other",
          "name": "Latin entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Latin neuter nouns in the second declension",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "Alternative form of merum imperium"
      ],
      "id": "en-imperium_merum-la-noun-svO9iS19",
      "links": [
        [
          "merum imperium",
          "merum imperium#Latin"
        ]
      ],
      "tags": [
        "alt-of",
        "alternative",
        "declension-2",
        "neuter"
      ]
    }
  ],
  "word": "imperium merum"
}

{
  "forms": [
    {
      "form": "imperiī merī",
      "tags": [
        "genitive"
      ]
    },
    {
      "form": "imperī merī",
      "tags": [
        "genitive"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "imperium<2> merum<+>"
      },
      "expansion": "imperium merum n (genitive imperiī merī or imperī merī); second declension",
      "name": "la-noun"
    }
  ],
  "lang": "Latin",
  "lang_code": "la",
  "pos": "noun",
  "senses": [
    {
      "alt_of": [
        {
          "word": "merum imperium"
        }
      ],
      "categories": [
        "Latin entries with incorrect language header",
        "Latin lemmas",
        "Latin multiword terms",
        "Latin neuter nouns",
        "Latin neuter nouns in the second declension",
        "Latin nouns",
        "Latin nouns with red links in their inflection tables",
        "Latin second declension nouns",
        "Pages with 1 entry",
        "Pages with entries"
      ],
      "glosses": [
        "Alternative form of merum imperium"
      ],
      "links": [
        [
          "merum imperium",
          "merum imperium#Latin"
        ]
      ],
      "tags": [
        "alt-of",
        "alternative",
        "declension-2",
        "neuter"
      ]
    }
  ],
  "word": "imperium merum"
}