The first permanent political capital in western europe during the medieval period that contained a palace, an early university, and a royal chapel that still stands today is:

Palatine chapel, Aachen

Explanation:

Charles the Great or Charlemagne became the first emperor to rule from western Europe after the fall of the Roman Empire. Charlemagne at the time of building his palace, began the construction of the chapel in 792 AD, completed in 805 AD. The building is a centrally planned, domed chapel, decorated with a fresco, and later in mosaic. The architectural design of the Palatine Chapel is in the Carolingian-Romanesque and Gothic style.  

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d: social contract theory