Question: Which island is the largest and only permanently populated island of the Svalbard archipelago and is also home to the Gavrilovfjellet mountain?
Context: Heimaey (] ), literally "Home Island", is an Icelandic island.  At 13.4 km2 , it is the largest island in the Vestmannaeyjar archipelago, and the largest and most populated island off the Icelandic coast.  Heimaey is 4 nmi off the south coast of Iceland.  It is the only populated island of the Vestmannaeyjar islands, with a population of 4,500.  The airport and the Westman Islands Golf Club cover a large part of the island. Edgeøya, occasionally anglicised as Edge Island, is a Norwegian island located in southeast of the Svalbard archipelago; it is the third largest island in this archipelago.  An Arctic island, it forms part of the Søraust-Svalbard Nature Reserve, home to polar bears and reindeer.  Its eastern side is covered by an ice field.  The island is 5073 km2 in area, making it the third largest in the Svalbard archipelago.  The island is named after Thomas Edge (died 1624), an English merchant and whaler.  It is seldom visited today. Danes Island (Norwegian: "Danskøya" ) is an island in Norway's Svalbard archipelago in the Arctic Ocean.  It lies just off the northwest coast of Spitsbergen, the largest island in the archipelago, near to Magdalenefjorden.  Just to the north lies Amsterdam Island.  Like many of Svalbard's islands, Danes Island is uninhabited.  The island has an area of 40.6 km2 . Gavrilovfjellet is a mountain in Sørkapp Land at Spitsbergen, Svalbard.  It has a height of 600 m.a.s.l., and is located between Slaklidalen and Liddalen. Spitsbergen (formerly known as West Spitsbergen; Norwegian: "Vest Spitsbergen" or "Vestspitsbergen") is the largest and only permanently populated island of the Svalbard archipelago in northern Norway.  Constituting the westernmost bulk of the archipelago, it borders the Arctic Ocean, the Norwegian Sea, and the Greenland Sea.  Spitsbergen covers an area of 37673 km2 , making it the largest island in Norway and the 36th-largest in the world.  The administrative centre is Longyearbyen.  Other settlements, in addition to research outposts, are the Russian mining community of Barentsburg, the research community of Ny-Ålesund, and the mining outpost of Sveagruva.  Spitsbergen was covered in 21977 km2 of ice in 1999, which was approximately 58.5% of the island's total area. The Svalbard Act" of 17 July 1925 no. 11, normally referred to as the Svalbard Act" (Norwegian: "Lov om Svalbard" or colloquially "Svalbardloven" ), is a law of Norway which governs the major aspects of the Svalbard archipelago.  The law was passed by the Parliament of Norway on 17 July 1925, establishes Norwegian sovereignty of the island, and states that Norwegian criminal law, civil law and procedure law are enforced on the island.  Otherwise, other provisions and laws only apply when specified.  The act further established the policy for administration, including creating the Governor of Svalbard, and since 2002, Longyearbyen Community Council.  The act also establishes rules for real estate and environmental protection. Woodfjord is a fjord on the north shore of Spitsbergen island in the Svalbard archipelago.  It is the fourth longest fjord in the Svalbard archipelago with the mouth facing north adjacent to Wijdefjord, and goes 64 km into the island, west of Andrée Land. Moffen is a small, low island north of the mouth of Wijdefjorden, on the northern coast of Spitsbergen, the largest island of the Svalbard archipelago.  The island lies just north of 80° so has become a popular target for vessels touring the archipelago but landing or entering the inner waters is strictly forbidden for fear of disturbing the wildlife as the island is an important haul-out area for Walrus and a nesting site for birds.  The island was first labelled on a map by Hendrick Doncker, of Amsterdam, in 1655. Phippsøya is the largest island in Sjuøyane, an archipelago north of Nordaustlandet, Svalbard in Arctic Norway.  It is located some 22 km north of Nordkapp on Svaldbard proper and 8.5 km south of Rossøya, the northernmost island of the Svalbard archipelago.  Phippsøya is separated from Parryøya to the south by the 1.3 km wide Straumporten sound, from Martensøya to the southeast by the 1.1 km wide Trollsundet and from Tavleøya to the northwest by the 1 km wide Marmorsundet. Krossfjorden (English: Cross Fjord) is a 30 km long fjord on the west coast of Spitsbergen, which is the largest and only permanently populated island of the Svalbard archipelago in Norway.  To the north, the fjord branches into Lillehöökfjorden, Möllerfjorden and Kollerfjorden.  To the south it is separated from Kongsfjorden by a line from Collinsodden on Mitrahalvøya east to Kapp Guissez.
Answer: Spitsbergen