Answer the following question: Information:  - In mathematics, a planar lamina is a closed set in a plane of mass formula_1 and surface density formula_2 such that:  - A prefectural-level municipality, prefectural-level city or prefectural city is an administrative division of the People's Republic of China (PRC), ranking below a province and above a county in China's administrative structure. Prefectural level cities form the second level of the administrative structure (alongside prefectures, leagues and autonomous prefectures). Administrative chiefs (mayors) of prefectural level cities generally have the same rank as a division chief of a national ministry. Since the 1980s, most former prefectures have been renamed into prefectural level cities.  - In geometric measurements, length is the most extended dimension of an object. In the International System of Quantities, length is any quantity with dimension distance. In other contexts "length" is the measured dimension of an object. For example, it is possible to cut a length of a wire which is shorter than wire thickness.  - Ili or Yili Kazakh Autonomous Prefecture  in northernmost Xinjiang is the only Kazakh autonomous prefecture in China.  - A shape is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material composition.  - An "oil field" or "oilfield" is a region with an abundance of oil wells extracting petroleum (crude oil) from below ground. Because the oil reservoirs typically extend over a large area, possibly several hundred kilometres across, full exploitation entails multiple wells scattered across the area. In addition, there may be exploratory wells probing the edges, pipelines to transport the oil elsewhere, and support facilities.  - The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.   - China, officially the People's Republic of China (PRC), is a unitary sovereign state in East Asia. With a population of over 1.381 billion, it is the world's most populous country. The state is governed by the Communist Party of China, and its capital is Beijing. It exercises jurisdiction over 22 provinces, five autonomous regions, four direct-controlled municipalities (Beijing, Tianjin, Shanghai, and Chongqing), and two mostly self-governing special administrative regions (Hong Kong and Macau), and claims sovereignty over Taiwan. The country's major urban areas include Shanghai, Guangzhou, Beijing, Chongqing, Shenzhen, Tianjin and Hong Kong. China is a great power and a major regional power within Asia, and has been characterized as a potential superpower.  - Quantity is a property that can exist as a magnitude or multitude. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value in terms of a unit of measurement. Quantity is among the basic classes of things along with quality, substance, change, and relation. Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. A small quantity is sometimes referred to as a quantulum.  - Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre. The volume of a container is generally understood to be the capacity of the container, i. e. the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces.  - Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. It is the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).  - Karamay or Kelamayi is a prefecture-level city in the north of the Xinjiang Uygur Autonomous Region, People's Republic of China. The name of the city comes from the Uyghur language, and means "black oil", referring to the oil fields near the city.  - Paint is any liquid, liquefiable, or mastic composition that, after application to a substrate in a thin layer, converts to a solid film. It is most commonly used to protect, color, or provide texture to objects. Paint can be made or purchased in many colorsand in many different types, such as watercolor, synthetic, etc. Paint is typically stored, sold, and applied as a liquid, but most types dry into a solid.  - The Uyghur or Uighur language (Uyghur: ), formerly known as Eastern Turki, is a Turkic language with 10 to 25 million speakers, spoken primarily by the Uyghur people in the Xinjiang Uyghur Autonomous Region of Western China. Significant communities of Uyghur-speakers are located in Kazakhstan and Uzbekistan, and various other countries have Uyghur-speaking expatriate communities. Uyghur is an official language of the Xinjiang Uyghur Autonomous Region, and is widely used in both social and official spheres, as well as in print, radio, and television, and is used as a lingua franca by other ethnic minorities in Xinjiang.  - Tacheng ( Tarbagatay ) Prefecture is located in northern Xinjiang , People 's Republic of China . It has an area of 98,824 km2 ( 38,156 sq mi ) and a population of 892,397 ( 2000 ) . It is a part of Ili Kazakh Autonomous Prefecture . The prefecture level city of Karamay forms a separate enclave in the middle of Tacheng .    Given the information above, choose from the list below the object entity that exhibits the relation 'located in the administrative territorial entity' with the subject 'tacheng prefecture'.  Choices: - beijing  - china  - chongqing  - guangzhou  - karamay  - kazakhstan  - most  - of  - shanghai  - shenzhen  - si  - taiwan  - uzbekistan  - xinjiang uyghur autonomous region
Answer:
xinjiang uyghur autonomous region