Emperor Claudius was not imprisoned. You must have got confused
with Tiberius Claudius Narcissus. He was a freedman who was in the
inner circle of the court of emperor Claudius. He was imprisoned
and executed by Agrippina (the emperor's last wife) soon after the
emperor's death. Ancient writer Tacitus said that Agrippina had him
executed because he supported Britannicus (the son the emperor had
with a previous wife) for the imperial succession against Nero
(Agrippina's son) and plotted to bring Agrippina down and, though
her her downfall, Nero.
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There were Publius Cornelus Tacitus a historian and Albius
Tibullus a poet. Other writers with a T in their names were Marcus
Terentius Varro, grammarian; Marcus Tullius Cicero, academic,
orator and statesman; Titus Livius, historian.
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The consuls for the year 51 BC were Servius Sulpicius Rufus and
Marcus Claudius Marcellus.