Which territories did Lothar I receive under the Treaty of Verdun?

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Under the Treaty of Verdun (843), Lothar I received Francia Media, a long central strip of territory that extended from the North Sea to Italy.12

This Middle Realm included parts of the following modern-day regions:
* Belgium
* The Netherlands
* Western Germany
* Eastern France
* Switzerland
* Much of Italy1

In addition to these territories, Lothar I was confirmed in his possession of the imperial title and retained the imperial capital at Aachen (then known as Aix-la-Chapelle).13