Why did the islamic empire choose not to invade western europe after its defeat by france?

The Battle of Tours (10 October 732)[8] – also called the Battle of Poitiers and, by Arab sources, the Battle of the Highway of the Martyrs (Arabic: معركة بلاط الشهداء‎, translit. Ma'arakat Balāṭ ash-Shuhadā’)[9] – was fought by Frankish and Burgundian[10][11] forces under Charles Martel against an army of the Umayyad Caliphate led by Abdul Rahman Al Ghafiqi, Governor-General of al-Andalus. It was fought in an area between the cities of Poitiers and Tours, in the Aquitaine of west-central France, near the village of Moussais-la-Bataille, about 20 kilometres (12 mi) northeast of Poitiers. The location of the battle was close to the border between the Frankish realm and the then-independent Duchy of Aquitaine under Odo the Great. The Franks were victorious. Abdul Rahman Al Ghafiqi was killed, and Charles subsequently extended his authority in the south. Details of the battle, including its exact location and the number of combatants, cannot be determined from accounts that have survived. Notably, the Frankish troops won the battle without cavalry.[12]

were at first enthusiastic in support of the revolution. however, over time divisions of opinion became apparent between federalists and anti-federalists

the answer is the government.