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looking forward to
「鶴首」 has another reading with different meanings.
合格発表の日を鶴首して待っている。
I am eagerly waiting for the day of the exam results.
ファンは新作の発売を鶴首して待ち望んだ。
Fans eagerly looked forward to the release of the new work.
帰国する息子を鶴首の思いで待つ母がいた。
There was a mother waiting with eager anticipation for her son to return.