Question: What is the name of this ruling house in the Middle Age Scandinavia and England of which Gunhilda of Denmark was a member?

full_context: Document 1: Halfdan the Black: Halfdan the Black (Old Norse: "Halfdanr Svarti") (  810 –  860 ) was a ninth-century king of Vestfold. He belonged to the House of Yngling and was the father of Harald Fairhair, the first king of Norway.
Document 2: Ancestry of the Godwins: Very little is known for certain of the ancestry of the Godwins, the family of the last Anglo-Saxon King of England, Harold II. When King Edward the Confessor died in January 1066 his closest relative was his great-nephew, Edgar the Ætheling, but he was young and lacked powerful supporters. Harold was the head of the most powerful family in England and Edward's brother-in-law, and he became king. In September 1066 Harold defeated and killed King Harald Hardrada of Norway at the Battle of Stamford Bridge, and Harold was himself defeated and killed the following month by William the Conqueror at the Battle of Hastings.
Document 3: House of Knýtlinga: The Danish House of Knýtlinga (English: "House of Cnut's Descendants") was a ruling royal house in Middle Age Scandinavia and England. Its most famous king was Cnut the Great, who gave his name to this dynasty. Other notable members were Cnut's father Sweyn Forkbeard, grandfather Harald Bluetooth, and sons Harthacnut, Harold Harefoot, and Svein Knutsson. It has also been called the House of Canute, the House of Denmark, the House of Gorm, or the Jelling Dynasty.
Document 4: Canute IV of Denmark: Canute IV (  1042  – 10 July 1086), later known as Canute the Holy (Danish: "Knud IV den Hellige" ) or Saint Canute ("Sankt Knud"), was King of Denmark from 1080 until 1086. Canute was an ambitious king who sought to strengthen the Danish monarchy, devotedly supported the Roman Catholic Church, and had designs on the English throne. Slain by rebels in 1086, he was the first Danish king to be canonized. He was recognized by the Roman Catholic Church as patron saint of Denmark in 1101.
Document 5: Conrad II, Holy Roman Emperor: Conrad II (c. 990 4 June 1039), also known as Conrad the Elder and Conrad the Salic , was Emperor of the Holy Roman Empire from 1027 until his death in 1039. The founder of the Salian dynasty of emperors, Conrad also served as King of Germany from 1024, King of Italy from 1026, and King of Burgundy from 1033.
Document 6: Edmund Ætheling: Edmund Ætheling ( ;  1015–17 – possibly 1046, certainly by 1054) was a member of the royal House of Wessex as the son of Edmund Ironside, who briefly ruled as King of England between April and November 1016. He fought the Danish Vikings under Cnut the Great, but following the Danish victory at the Battle of Assandun in October, it was agreed that Ironside would rule Wessex, while Cnut took Mercia and probably Northumbria. In November 1016, Ironside died and Cnut became King of all England.
Document 7: Strut-Harald: Strut-Harald ("Cone Harald" from his cone-shaped helmet of gold) was a semi-legendary jarl or petty king who ruled over the Danish territory of Scania (in what is now southern Sweden) during the late 10th century CE (approximately 975-986). Norse sagas identify him as the son of Gorm the Old, His Sister being Astrid Wiffen who was married to the Earl Philippus Sigefrid Wiffen of Scania, Strut-Harald was also a half-brother of Harald Bluetooth.
Document 8: Maria of Swabia: Maria of Hohenstaufen (3 April 1201 – 29 March 1235) was a member of the powerful Hohenstaufen dynasty of German kings which lasted from 1138 to 1254. She is also known to history as Marie of Swabia.
Document 9: Emma of Normandy: Emma of Normandy (c. 985 – 6 March 1052) was a queen consort of England, Denmark and Norway. She was the daughter of Richard I, Duke of Normandy, and his second wife, Gunnora. Through her marriages to Æthelred the Unready (1002-1016) and Cnut the Great (1017-1035), she became the Queen Consort of England, Denmark, and Norway. She was the mother of three sons, Edward the Confessor, Alfred, and Harthacnut, as well as two daughters, Goda of England, and Gunhilda of Denmark. Even after her husbands' deaths Emma remained in the public eye, and continued to participate actively in politics. She is the central figure within the "Encomium Emmae Reginae", a critical source for the history of early 11th-century English politics. As Catherine Karkov notes, Emma is one of the most visually represented early medieval queens.
Document 10: Gunhilda of Denmark: Gunhilda of Denmark ( 1020 – 18 July 1038), a member of the House of Knýtlinga, was Queen consort of Germany by her marriage with King Henry III of the Salian dynasty from 1036 until her death.
Document 11: Margrethe II of Denmark: Margrethe II (Danish: "Margrethe 2." , ] ; Faroese: "Margreta 2." ; Greenlandic: "Margrethe II" ; full name: "Margrethe Alexandrine Þórhildur Ingrid"; born 16 April 1940) is the Queen of Denmark. She is also the supreme authority of the Church of Denmark and Commander-in-Chief of the Danish Defence. Born into the House of Glücksburg, a royal house with origins in Northern Germany, she was the eldest child of Frederick IX of Denmark and Ingrid of Sweden. She succeeded her father upon his death on 14 January 1972, having had become heir presumptive to her father in 1953, when a constitutional amendment allowed women to inherit the throne. On her accession, Margrethe became the first female monarch of Denmark since Margaret I, ruler of the Scandinavian kingdoms in 1375–1412 during the Kalmar Union. In 1967, she married Henri de Laborde de Monpezat, with whom she has two sons: Crown Prince Frederik (born 1968) and Prince Joachim (born 1969). She has been on the Danish throne for 45 years, becoming the second-longest-reigning Danish monarch after her ancestor Christian IV.
Document 12: Conrad III of Germany: Conrad III (1093 – 15 February 1152) was the first King of Germany of the Hohenstaufen dynasty. He was the son of Duke Frederick I of Swabia and Agnes, a daughter of the Salian Emperor Henry IV.
Document 13: Harald Bluetooth: Harald "Bluetooth" Gormsson (Old Norse: "Haraldr Gormsson" , Danish: "Harald Blåtand Gormsen" , died c. 985/86) was a king of Denmark and Norway.
Document 14: Henry the Lion: Henry the Lion (German: "Heinrich der Löwe" ; 1129/1131 – 6 August 1195 ) was a member of the Welf dynasty and Duke of Saxony, as Henry III, from 1142, and Duke of Bavaria, as Henry XII, from 1156, the duchies of which he held until 1180.
Document 15: Edmund Ironside: Edmund II (died 30 November 1016), usually known as Edmund Ironside, was King of England from 23 April to 30 November 1016. He was the son of King Æthelred the Unready and his first wife, Ælfgifu of York. Edmund's reign was marred by a war he had inherited from his father, his cognomen "Ironside" was given to him "because of his valour" in resisting the Danish invasion led by Cnut the Great.
ground_truth: House of Knýtlinga