The imperial period of Rome lasted approximately 1,500 years compared to the 500 years of the Republican era. The first two centuries of the empire's existence were a period of unprecedented political stability and prosperity known as the Pax Romana, or ``Roman Peace ''. Following Octavian's victory, the size of the empire was dramatically increased. After the assassination of Caligula in AD 41, the Senate briefly considered restoring the republic, but the Praetorian Guard proclaimed Claudius emperor instead. Under Claudius, the empire invaded Britannia, its first major expansion since Augustus. After Claudius' successor, Nero, committed suicide in AD 68, the empire suffered a series of brief civil wars, as well as a concurrent major rebellion in Judea, during which four different legionary generals were proclaimed emperor. Vespasian emerged triumphant in AD 69, establishing the Flavian dynasty, before being succeeded by his son Titus, who opened the Colosseum shortly after the eruption of Mount Vesuvius. His short reign was followed by the long reign of his brother Domitian, who was eventually assassinated. The Senate then appointed the first of the Five Good Emperors. The empire reached its greatest extent under Trajan, the second in this line.
In 332 BC, Macedonian ruler Alexander the Great conquered Egypt as he toppled the Achaemenids and established the Hellenistic Ptolemaic Kingdom, whose first ruler was one of Alexander's former generals, Ptolemy I Soter. The Ptolemies had to fight native rebellions and were involved in foreign and civil wars that led to the decline of the kingdom and its final annexation by Rome. The death of Cleopatra ended the nominal independence of Egypt resulting in Egypt becoming one of the provinces of the Roman Empire.
Yugoslavia had a liberal travel policy permitting foreigners to freely travel through the country and its citizens to travel worldwide, whereas it was limited by most Communist countries. A number[quantify] of Yugoslav citizens worked throughout Western Europe. Tito met many world leaders during his rule, such as Soviet rulers Joseph Stalin, Nikita Khrushchev and Leonid Brezhnev; Egypt's Gamal Abdel Nasser, Indian politicians Jawaharlal Nehru and Indira Gandhi; British Prime Ministers Winston Churchill, James Callaghan and Margaret Thatcher; U.S. Presidents Dwight D. Eisenhower, John F. Kennedy, Richard Nixon, Gerald Ford and Jimmy Carter; other political leaders, dignitaries and heads of state that Tito met at least once in his lifetime included Che Guevara, Fidel Castro, Yasser Arafat, Willy Brandt, Helmut Schmidt, Georges Pompidou, Queen Elizabeth II, Hua Guofeng, Kim Il Sung, Sukarno, Sheikh Mujibur Rahman, Suharto, Idi Amin, Haile Selassie, Kenneth Kaunda, Gaddafi, Erich Honecker, Nicolae Ceaușescu, János Kádár and Urho Kekkonen. He also met numerous celebrities.
Marcus Ulpius Traianus was born on 18 September 53AD in the Roman province of Hispania Baetica (in what is now Andalusia in modern Spain), in the city of Italica (now in the municipal area of Santiponce, in the outskirts of Seville). Although frequently designated the first provincial emperor, and dismissed by later writers such as Cassius Dio (himself of provincial origin) as "an Iberian, and neither an Italian nor even an Italiot", Trajan appears to have hailed on his father's side from the area of Tuder (modern Todi) in Umbria, at the border with Etruria, and on his mother's side from the Gens Marcia, of an Italic family of Sabine origin. Trajan's birthplace of Italica was founded as a Roman military colony of "Italian" settlers in 206BC, though it is unknown when the Ulpii arrived there. It is possible, but cannot be substantiated, that Trajan's ancestors married local women and lost their citizenship at some point, but they certainly recovered their status when the city became a municipium with Latin citizenship in the mid-1st century BC.

Question: Nasser is a leader of a country that in the 1st century BC became a colony of an empire. Who is the mother of the emperor under who the empire reached it's greatest extent?
Answer: Marcia