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
Not only was the battle lost before it began, but the Roman fleet was so completely ensnared that it fell almost wholly into the hands of the enemy. The consul indeed escaped, for he was the first who fled; but 93 Roman vessels, more than three-fourths of the blockading fleet, with the flower of the Roman legions on board, fell into the hands of the Phoenicians. It was the first and only great naval victory which the Carthaginians gained over the Romans.
Lilybaeum was practically relieved on the side towards the sea, for though the remains of the Roman fleet returned to their former position, they were now much too weak seriously to blockade a harbour which had never been wholly closed, and they could only protect themselves from the attack of the Carthaginian ships with the assistance of the land army. That single imprudent act of an inexperienced and criminally thoughtless officer had thrown away all that had been with so much difficulty attained by the long and galling warfare around the fortress; and those war- vessels of the Romans which his presumption had not forfeited were shortly afterwards destroyed by the folly of his colleague.
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Reference address : https://www.ellopos.net/elpenor/rome/3-02-war-rome-carthage-sicily.asp?pg=43