By this time , the rump emirate was almost powerless .
By this time , the rump emirate became a bone of contention between the Byzantines and the new power of the Middle East , the Fatimid Caliphate of Egypt .
By this time , the rump emirate was almost powerless and became a bone of contention between the Byzantines and the new power of the Middle East , the Fatimid Caliphate of Egypt .