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
The leader of the Arvernian patriots Vercingetorix, one of those nobles whom we meet with among the Celts, of almost regal repute in and beyond his canton, and a stately, brave, sagacious man to boot, left the capital and summoned the country people, who were as hostile to the ruling oligarchy as to the Romans, at once to re-establish the Arvernian monarchy and to go to war with Rome. The multitude quickly joined him; the restoration of the throne of Luerius and Betuitus was at the same time the declaration of a national war against Rome. The centre of unity, from the want of which all previous attempts of the nation to shake off the foreign yoke had failed, was now found in the new self-nominated king of the Arverni. Vercingetorix became for the Celts of the continent what Cassivellaunus was for the insular Celts; the feeling strongly pervaded the masses that he, if any one, was the man to save the nation.
Spread of the Insurrection - Appearance of Caesar
The west from the mouth of the Garonne to that of the Seine was rapidly infected by the insurrection, and Vercingetorix was recognized by all the cantons there as commander-in-chief; where the common council made any difficulty, the multitude compelled it to join the movement; only a few cantons, such as that of the Bituriges, required compulsion to join it, and these perhaps only for appearance' sake. The insurrection found a less favourable soil in the regions to the east of the upper Loire. Everything here depended on the Haedui; and these wavered.
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Reference address : https://www.ellopos.net/elpenor/rome/5-07-subjugation-west.asp?pg=110