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
Of all the Greek settlements in Italy, Tarentum was destined to play the most brilliant part. The excellent harbour, the only good one on the whole southern coast, rendered the city the natural emporium for the traffic of the south of Italy, and for some portion even of the commerce of the Adriatic.
The rich fisheries of its gulf, the production and manufacture of its excellent wool, and the dyeing of it with the purple juice of the Tarentine -murex-, which rivalled that of Tyre--both branches of industry introduced there from Miletus in Asia Minor--employed thousands of hands, and added to the carrying trade a traffic of export. The coins struck at Tarentum in greater quantity than anywhere else in Greek Italy, and struck pretty numerously even in gold, furnish to us a significant attestation of the lively and widely extended commerce of the Tarentines.
At this epoch, when Tarentum was still contending with Sybaris for the first place among the Greek cities of Lower Italy, its extensive commercial connections must have been already forming; but the Tarentines seem never to have steadily and successfully directed their efforts to a substantial extension of their territory after the manner of the Achaean cities.
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Reference address : https://www.ellopos.net/elpenor/rome/1-10-greeks-italy-tuscans-carthaginians.asp?pg=17