"παιδείαιν" meaning in Ancient Greek

{
  "forms": [
    {
      "form": "paideíain",
      "tags": [
        "romanization"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "παιδείαιν • (paideíain)",
      "name": "grc-noun form"
    }
  ],
  "lang": "Ancient Greek",
  "lang_code": "grc",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Ancient Greek entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Ancient Greek terms with redundant script codes",
          "parents": [
            "Terms with redundant script codes",
            "Entry maintenance"
          ],
          "source": "w"
        }
      ],
      "form_of": [
        {
          "extra": "paideíā",
          "word": "παιδείᾱ"
        }
      ],
      "glosses": [
        "genitive/dative dual of παιδείᾱ (paideíā)"
      ],
      "id": "en-παιδείαιν-grc-noun-0M1ZGNL7",
      "links": [
        [
          "παιδείᾱ",
          "παιδεία#Ancient Greek"
        ]
      ],
      "tags": [
        "dative",
        "dual",
        "form-of",
        "genitive"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/pai̯.děː.ai̯n/"
    },
    {
      "ipa": "/pɛˈði.ɛn/"
    },
    {
      "ipa": "/peˈði.en/"
    },
    {
      "ipa": "/pai̯.děː.ai̯n/",
      "note": "5ᵗʰ BCE Attic"
    },
    {
      "ipa": "/pɛˈdi.ɛn/",
      "note": "1ˢᵗ CE Egyptian"
    },
    {
      "ipa": "/pɛˈði.ɛn/",
      "note": "4ᵗʰ CE Koine"
    },
    {
      "ipa": "/peˈði.en/",
      "note": "10ᵗʰ CE Byzantine"
    },
    {
      "ipa": "/peˈði.en/",
      "note": "15ᵗʰ CE Constantinopolitan"
    }
  ],
  "word": "παιδείαιν"
}

{
  "forms": [
    {
      "form": "paideíain",
      "tags": [
        "romanization"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "παιδείαιν • (paideíain)",
      "name": "grc-noun form"
    }
  ],
  "lang": "Ancient Greek",
  "lang_code": "grc",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "Ancient Greek 3-syllable words",
        "Ancient Greek entries with incorrect language header",
        "Ancient Greek non-lemma forms",
        "Ancient Greek noun forms",
        "Ancient Greek paroxytone terms",
        "Ancient Greek terms with IPA pronunciation",
        "Ancient Greek terms with redundant script codes"
      ],
      "form_of": [
        {
          "extra": "paideíā",
          "word": "παιδείᾱ"
        }
      ],
      "glosses": [
        "genitive/dative dual of παιδείᾱ (paideíā)"
      ],
      "links": [
        [
          "παιδείᾱ",
          "παιδεία#Ancient Greek"
        ]
      ],
      "tags": [
        "dative",
        "dual",
        "form-of",
        "genitive"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/pai̯.děː.ai̯n/"
    },
    {
      "ipa": "/pɛˈði.ɛn/"
    },
    {
      "ipa": "/peˈði.en/"
    },
    {
      "ipa": "/pai̯.děː.ai̯n/",
      "note": "5ᵗʰ BCE Attic"
    },
    {
      "ipa": "/pɛˈdi.ɛn/",
      "note": "1ˢᵗ CE Egyptian"
    },
    {
      "ipa": "/pɛˈði.ɛn/",
      "note": "4ᵗʰ CE Koine"
    },
    {
      "ipa": "/peˈði.en/",
      "note": "10ᵗʰ CE Byzantine"
    },
    {
      "ipa": "/peˈði.en/",
      "note": "15ᵗʰ CE Constantinopolitan"
    }
  ],
  "word": "παιδείαιν"
}