 <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? <yor> Ṣáájú kó o tó dáhùn àwọn ìbéèrè tó tẹ̀ lé e yìí, kó o kọ́kọ́ sọ ohun tó wà lọ́kàn rẹ. Àlàfo: Ilẹ̀ ọba dé ibi tó tóbi jù lọ lábẹ́ Trajan (ó jọba 98 - 117), ó ní àgbègbè tí ó tó mílíọ̀nù márùn-ún kìlómítà. Ìṣirò iye ènìyàn tí a mọ̀ sí 55 - 60 mílíọ̀nù ènìyàn tó wà ní àárín ìdá kan nínú mẹ́fà àti ìdá kan nínú mẹ́rin iye ènìyàn gbogbo àgbáyé, èyí sì mú kí ó jẹ́ iye ènìyàn tó pọ̀ jù lọ nínú gbogbo àwùjọ ìṣèlú tí ó wà ní ìwọ̀ oòrùn ayé títí di àárín ọ̀rúndún 19th. Àwọn ìwádìí tí wọ́n ṣe lẹ́nu àìpẹ́ yìí nípa àwọn èèyàn sọ pé iye àwọn tó ń gbé ibẹ̀ á pọ̀ ju àádọ́rin [70] mílíọ̀nù lọ, ó sì lè lé ní ọgọ́rùn-ún [100] mílíọ̀nù. Ìlú mẹ́ta tó tóbi jù lọ ní Ilẹ̀ Ọba Róòmù, Alẹkisáńdíríà àti Áńtíókù ló tóbi ju ìlú èyíkéyìí nílẹ̀ Yúróòpù lọ ní ìbẹ̀rẹ̀ ọ̀rúndún kẹtàdínlógún.  Ìbéèrè: Gẹ́gẹ́ bí ohun tí ẹsẹ Bíbélì yìí sọ, ìgbà wo ni Ilẹ̀ Ọba Róòmù wà ní ipò tó ga jù lọ? 