 
 <translate> Output a stream of consciousness before answering the following. Passage: The Empire reached its largest expanse under Trajan (reigned 98 -- 117), encompassing an area of 5 million square kilometres. The traditional population estimate of 55 -- 60 million inhabitants accounted for between one-sixth and one-fourth of the world's total population and made it the largest population of any unified political entity in the West until the mid-19th century. Recent demographic studies have argued for a population peak ranging from 70 million to more than 100 million. Each of the three largest cities in the Empire -- Rome, Alexandria, and Antioch -- was almost twice the size of any European city at the beginning of the 17th century.

Question: Based on this passage, when was the roman empire at its peak? <hau> Ka yi tunani kafin ka amsa tambayar da ke gaba. Passage: Daular ta kai mafi girman girmanta a ƙarƙashin Trajan (mulkin 98 - 117), wanda ya ƙunshi yanki na murabba'in kilomita miliyan 5. A al'ada yawan jama'a kimanta na 55 -- 60 miliyan mazauna lissafta tsakanin daya-shida da daya-hukuma na duniya total yawan jama'a da kuma sanya shi mafi girma yawan jama'a na kowane hadedde siyasa mahaluži a yamma har tsakiyar karni na 19. Binciken kwanan nan na yawan jama'a ya yi jayayya game da yawan jama'a daga miliyan 70 zuwa fiye da miliyan 100. Kowane ɗayan manyan biranen nan uku na Daular - Roma, Iskandariya, da Antakiya - ya kusan ninka girman kowane birni na Turai a farkon ƙarni na 17.  Tambaya: Bisa ga wannan nassin, a wane lokaci ne Daular Roma ta yi fice? 