Question: Who was the mother of the person under whom the colonizer of the winner of a border war with Libya in the 1st century BC reached its greatest extent?

<P0-S0> 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. <P0-S1> 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). <P0-S2> 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. <P0-S3> 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. <SEP> <P1-S0> The death of Cleopatra ended the nominal independence of Egypt resulting in Egypt becoming one of the provinces of the Roman Empire. <P1-S1> 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. <P1-S2> 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. <SEP> <P2-S0> the roman empire reached its greatest territorial extent during the 2nd century ad; the following two centuries witnessed the slow decline of roman control over its outlying territories. <P2-S1> economic issues, including inflation, and external pressure on the frontiers combined to make the 3rd century politically unstable, with emperors coming to the throne only to be rapidly replaced by new usurpers. <P2-S2> military expenses increased steadily during the 3rd century, mainly in response to the war with sassanid persia, which revived in the middle of the 3rd century. <P2-S3> the army doubled in size, and cavalry and smaller units replaced the legion as the main tactical unit. <P2-S4> the need for revenue led to increased taxes and a decline in numbers of the curial, or landowning, class, and decreasing numbers of them willing to shoulder the burdens of holding office in their native towns. <P2-S5> more bureaucrats were needed in the central administration to deal with the needs of the army, which led to complaints from civilians that there were more tax-collectors in the empire than tax-payers. <SEP> <P3-S0> iran is home to one of the world's oldest civilizations, beginning with the formation of the proto-elamite and elamite kingdoms in 3200–2800 bc. <P3-S1> the iranian medes unified the area into the first of many empires in 625 bc, after which it became the dominant cultural and political power in the region. <P3-S2> iran reached the pinnacle of its power during the achaemenid empire founded by cyrus the great in 550 bc, which at its greatest extent comprised major portions of the ancient world, stretching from parts of the balkans (thrace-macedonia, bulgaria-paeonia) and eastern europe proper in the west, to the indus valley in the east, making it the largest empire the world had yet seen. <P3-S3> the empire collapsed in 330 bc following the conquests of alexander the great. <P3-S4> the parthian empire emerged from the ashes and was succeeded by the sassanid dynasty in 224 ad, under which iran again became one of the leading powers in the world, along with the roman-byzantine empire, for a period of more than four centuries. <SEP> <P4-S0> With preceding legal institutions abolished, Gaddafi envisioned the Jamahiriya as following the Qur'an for legal guidance, adopting sharia law; he proclaimed "man-made" laws unnatural and dictatorial, only permitting Allah's law. <P4-S1> Within a year he was backtracking, announcing that sharia was inappropriate for the Jamahiriya because it guaranteed the protection of private property, contravening The Green Book's socialism. <P4-S2> His emphasis on placing his own work on a par with the Qur'an led conservative clerics to accuse him of shirk, furthering their opposition to his regime. <P4-S3> The conflict lasted one week before both sides agreed to sign a peace treaty that was brokered by several Arab states. <P4-S4> That year, Gaddafi was invited to Moscow by the Soviet government in recognition of their increasing commercial relationship. <P4-S5> In July, a border war broke out with Egypt, in which the Egyptians defeated Libya despite their technological inferiority. <SEP> <P5-S0> The imperial period of Rome lasted approximately 1,500 years compared to the 500 years of the Republican era. <P5-S1> 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 ''. <P5-S2> Following Octavian's victory, the size of the empire was dramatically increased. <P5-S3> After the assassination of Caligula in AD 41, the Senate briefly considered restoring the republic, but the Praetorian Guard proclaimed Claudius emperor instead. <P5-S4> Under Claudius, the empire invaded Britannia, its first major expansion since Augustus. <P5-S5> 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. <P5-S6> 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. <P5-S7> His short reign was followed by the long reign of his brother Domitian, who was eventually assassinated. <P5-S8> The Senate then appointed the first of the Five Good Emperors. <P5-S9> The empire reached its greatest extent under Trajan, the second in this line.