Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
Siege of Cirta
This was bad; but matters soon became worse. In order to be able under the semblance of self-defence to defraud Adherbal of his portion, Jugurtha provoked him to war; but when the weak man, rendered wiser by experience, allowed Jugurtha's horsemen to ravage his territory unhindered and contented himself with lodging complaints at Rome, Jugurtha, impatient of these ceremonies, began the war even without pretext. Adherbal was totally defeated in the region of the modern Philippeville, and threw himself into his capital of Cirta in the immediate vicinity.
While the siege was in progress, and Jugurtha's troops were daily skirmishing with the numerous Italians who were settled in Cirta and who took a more vigorous part in the defence of the city than the Africans themselves, the commission despatched by the Roman senate on Adherbal's first complaint made its appearance; composed, of course, of young inexperienced men, such as the government of those times regularly employed in the ordinary missions of the state. The envoys demanded that Jugurtha should allow them as deputed by the protecting power to Adherbal to enter the city, and generally that he should suspend hostilities and accept their mediation.
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Reference address : https://www.ellopos.net/elpenor/rome/4-04-rule-restoration.asp?pg=32