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?

full_context: Document 1: Roman Empire: 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.
Document 2: Roman Empire: The Roman Empire (Latin: Imperium Rōmānum, Classical Latin: (ɪmˈpɛ. ri. ũː roːˈmaː. nũː); Koine and Medieval Greek: Βασιλεία τῶν Ῥωμαίων, tr. Basileia tōn Rhōmaiōn) was the post-Roman Republic period of the ancient Roman civilization, with a government headed by emperors and large territorial holdings around the Mediterranean Sea in Europe, Africa and Asia. The city of Rome was the largest city in the world c. 100 BC -- c. AD 400, with Constantinople (New Rome) becoming the largest around AD 500, and the Empire's population grew to an estimated 50 to 90 million inhabitants (roughly 20% of the world's population at the time). The 500 - year - old republic which preceded it had been severely destabilized in a series of civil wars and political conflict, during which Julius Caesar was appointed as perpetual dictator and then assassinated in 44 BC. Civil wars and executions continued, culminating in the victory of Octavian, Caesar's adopted son, over Mark Antony and Cleopatra at the Battle of Actium in 31 BC and the annexation of Egypt. Octavian's power was then unassailable and in 27 BC the Roman Senate formally granted him overarching power and the new title Augustus, effectively marking the end of the Roman Republic.
Document 3: Muammar Gaddafi: Gaddafi's ideological worldview was moulded by his environment, namely his Islamic faith, his Bedouin upbringing, and his disgust at the actions of European colonialists in Libya. He was driven by a sense of "divine mission", believing himself a conduit of Allah's will, and thought that he must achieve his goals "no matter what the cost". Raised within the Sunni branch of Islam, Gaddafi called for the implementation of sharia within Libya. He desired unity across the Islamic world, and encouraged the propagation of the faith elsewhere. On a 2010 visit to Italy, he paid a modelling agency to find 200 young Italian women for a lecture he gave urging them to convert. He also funded the construction and renovation of two mosques in Africa, including Uganda's Kampala Mosque. He nevertheless clashed with conservative Libyan clerics as to his interpretation of Islam. Many criticised his attempts to encourage women to enter traditionally male-only sectors of society, such as the armed forces. Gaddafi was keen to improve women's status, though saw the sexes as "separate but equal" and therefore felt women should usually remain in traditional roles.
Document 4: Hellenistic period: Ptolemy, a somatophylax, one of the seven bodyguards who served as Alexander the Great's generals and deputies, was appointed satrap of Egypt after Alexander's death in 323 BC. In 305 BC, he declared himself King Ptolemy I, later known as "Soter" (saviour) for his role in helping the Rhodians during the siege of Rhodes. Ptolemy built new cities such as Ptolemais Hermiou in upper Egypt and settled his veterans throughout the country, especially in the region of the Faiyum. Alexandria, a major center of Greek culture and trade, became his capital city. As Egypt's first port city, it was the main grain exporter in the Mediterranean.
Document 5: Roman conquest of the Iberian Peninsula: The Roman conquest of Hispania was a process by which the Roman Republic seized the Carthaginian territories in the south and east in 206 BC (during the Second Punic War) and then gradually extended control over most of the Iberian Peninsula without annexations. It was completed after the fall of the Republic (27 BC), by Augustus, the first Roman emperor, who annexed the whole of Hispania to the Roman Empire in 19 BC. Hispania was the Roman name for the Iberian Peninsula. The peninsula had various ethnic groups and a large number of tribes.
Document 6: Muammar Gaddafi: 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. 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. 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. In July, a border war broke out with Egypt, in which the Egyptians defeated Libya despite their technological inferiority. The conflict lasted one week before both sides agreed to sign a peace treaty that was brokered by several Arab states. That year, Gaddafi was invited to Moscow by the Soviet government in recognition of their increasing commercial relationship.
Document 7: Trajan: As a civilian administrator, Trajan is best known for his extensive public building program, which reshaped the city of Rome and left numerous enduring landmarks such as Trajan's Forum, Trajan's Market and Trajan's Column. Early in his reign, he annexed the Nabataean Kingdom, creating the province of Arabia Petraea. His conquest of Dacia enriched the empire greatly, as the new province possessed many valuable gold mines.
Document 8: 1st century: During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio - Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, and founder of the Flavian dynasty. The Roman Empire generally experienced a period of prosperity and dominance in this period and the First Century is remembered as part of the Empire's golden age.
Document 9: Trajan: 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.
Document 10: Muammar Gaddafi: In 1977, Gaddafi dissolved the Republic and created a new socialist state, the Jamahiriya ("state of the masses"). Officially adopting a symbolic role in governance, he retained power as military commander-in-chief and head of the Revolutionary Committees responsible for policing and suppressing opponents. Overseeing unsuccessful border conflicts with Egypt and Chad, Gaddafi's support for foreign militants and alleged responsibility for the Lockerbie bombing led to Libya's label of "international pariah". A particularly hostile relationship developed with the United States and United Kingdom, resulting in the 1986 U.S. bombing of Libya and United Nations-imposed economic sanctions. Rejecting his earlier ideological commitments, from 1999 Gaddafi encouraged economic privatization and sought rapprochement with Western nations, also embracing Pan-Africanism and helping to establish the African Union. Amid the Arab Spring, in 2011 an anti-Gaddafist uprising led by the National Transitional Council (NTC) broke out, resulting in the Libyan Civil War. NATO intervened militarily on the side of the NTC, bringing about the government's downfall. Retreating to Sirte, Gaddafi was captured and killed by NTC militants.
Document 11: Roman mythology: The Aeneid and Livy's early history are the best extant sources for Rome's founding myths. Material from Greek heroic legend was grafted onto this native stock at an early date. The Trojan prince Aeneas was cast as husband of Lavinia, daughter of King Latinus, patronymical ancestor of the Latini, and therefore through a convoluted revisionist genealogy as forebear of Romulus and Remus. By extension, the Trojans were adopted as the mythical ancestors of the Roman people.
Document 12: Roman Republic: The Roman Republic (Latin: Res publica Romana; Classical Latin: [ˈreːs ˈpuːb.lɪ.ka roːˈmaː.na]) was the period of ancient Roman civilization beginning with the overthrow of the Roman Kingdom, traditionally dated to 509 BC, and ending in 27 BC with the establishment of the Roman Empire. It was during this period that Rome's control expanded from the city's immediate surroundings to hegemony over the entire Mediterranean world. During the first two centuries of its existence, the Roman Republic expanded through a combination of conquest and alliance, from central Italy to the entire Italian peninsula. By the following century, it included North Africa, Spain, and what is now southern France. Two centuries after that, towards the end of the 1st century BC, it included the rest of modern France, Greece, and much of the eastern Mediterranean. By this time, internal tensions led to a series of civil wars, culminating with the assassination of Julius Caesar, which led to the transition from republic to empire. The exact date of transition can be a matter of interpretation. Historians have variously proposed Julius Caesar's crossing of the Rubicon River in 49 BC, Caesar's appointment as dictator for life in 44 BC, and the defeat of Mark Antony and Cleopatra at the Battle of Actium in 31 BC. However, most use the same date as did the ancient Romans themselves, the Roman Senate's grant of extraordinary powers to Octavian and his adopting the title Augustus in 27 BC, as the defining event ending the Republic.
Document 13: History of Egypt: 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.
Document 14: Muammar Gaddafi: In May 1970, the Revolutionary Intellectuals Seminar was held to bring intellectuals in line with the revolution, while that year's Legislative Review and Amendment united secular and religious law codes, introducing sharia into the legal system. Ruling by decree, the RCC maintained the monarchy's ban on political parties, in May 1970 banned trade unions, and in 1972 outlawed workers' strikes and suspended newspapers. In September 1971, Gaddafi resigned, claiming to be dissatisfied with the pace of reform, but returned to his position within a month. In February 1973, he resigned again, once more returning the following month.
Document 15: Egypt: The last ruler from the Ptolemaic line was Cleopatra VII, who committed suicide following the burial of her lover Mark Antony who had died in her arms (from a self-inflicted stab wound), after Octavian had captured Alexandria and her mercenary forces had fled. The Ptolemies faced rebellions of native Egyptians often caused by an unwanted regime and were involved in foreign and civil wars that led to the decline of the kingdom and its annexation by Rome. Nevertheless, Hellenistic culture continued to thrive in Egypt well after the Muslim conquest.
ground_truth: Marcia
sub_queries: Who won a border war with Libya? Answer: Egypt
in the 1st century bc Egypt became a colony of Answer: the Roman Empire
when did the Roman Empire reach its greatest extent Answer: under Trajan
Who is under Trajan 's mother? Answer: Marcia