Question: Lincoln County, Kansas has a county seat of a city with a population of what as of 2010?

full_context: Document 1: Lincoln Center, Kansas: Lincoln Center, more commonly known as Lincoln, is a city in and the county seat of Lincoln County, Kansas, United States. As of the 2010 census, the city population was 1,297.
Document 2: Lindsborg, Kansas: Lindsborg is a city in McPherson County, Kansas, United States. As of the 2010 census, the city population was 3,458. Lindsborg is known for its association with Swedish heritage and the biennial Svensk Hyllningsfest.
Document 3: Lincoln County, Nebraska: Lincoln County is a county located in the U.S. state of Nebraska. As of the 2010 census, the population was 36,288. Its county seat is North Platte. Despite the county's name, the state capital city of Lincoln is not located in or near Lincoln County.
Document 4: Lincolnton, North Carolina: Lincolnton is a small city in Lincoln County, North Carolina, United States, within the Charlotte metropolitan area. The population was 10,683 at the 2010 census. Lincolnton is northwest of Charlotte, on the South Fork of the Catawba River. The junction of State Highway 27 and U.S. Route 321 is located nearby. The city is the county seat of Lincoln County, and is the only legally incorporated municipality wholly within the rural county.
Document 5: Johnson County, Kansas: Johnson County (county code JO) is a county located in the U.S. state of Kansas. As of the 2010 census, the county population was 544,179, making it the most populous county in Kansas. Its county seat is Olathe, and its most populous city is Overland Park.
Document 6: Lincoln County, Maine: Lincoln County is a county located in the U.S. state of Maine. As of the 2010 census, the population was 34,457. Its county seat is Wiscasset. The county was founded in 1760 from a portion of York County, Massachusetts and named after the English city Lincoln, the birthplace of Massachusetts Bay Provincial Governor Thomas Pownall.
Document 7: Chase County, Kansas: Chase County (county code CS) is a county located in the U.S. state of Kansas. As of the 2010 census, the county population was 2,790. Its county seat and most populous city is Cottonwood Falls. The center of population of Kansas is located in Chase County, about four miles north of Strong City.
Document 8: Lincoln County, Kansas: Lincoln County (standard abbreviation: LC) is a county located in the U.S. state of Kansas. As of the 2010 census, the county population was 3,241. The largest city and county seat is Lincoln Center.
Document 9: Lansing, Kansas: Lansing is a city situated along the Missouri River in the eastern part of Leavenworth County, located in northeast Kansas, in the Central United States. As of the 2010 census, the city population was 11,265. It is the second most populous city of Leavenworth County and is a part of the Kansas City metropolitan area.
Document 10: Lawrence, Kansas: Lawrence is the county seat of Douglas County and sixth largest city in Kansas. It is located in the northeastern sector of the state, next to Interstate 70, between the Kansas and Wakarusa Rivers. As of the 2010 census, the city's population was 87,643. Lawrence is a college town and the home to the University of Kansas and Haskell Indian Nations University.
Document 11: Kansas City, Kansas: Kansas City is the third-largest city in the state of Kansas, the county seat of Wyandotte County, and the third-largest city of the Kansas City metropolitan area. Kansas City, Kansas is abbreviated as "KCK" to differentiate it from Kansas City, Missouri. It is part of a consolidated city-county government known as the "Unified Government". Wyandotte County also includes the independent cities of Bonner Springs and Edwardsville. As of the 2010 census, the city had a population of 145,786 residents. It is situated at Kaw Point, which is the junction of the Missouri and Kansas rivers.
Document 12: Lincoln County, Nevada: Lincoln County is a county located in the U.S. state of Nevada. As of the 2010 census, the population was 5,345. Its county seat is Pioche.
Document 13: Liberal, Kansas: Liberal is the county seat of Seward County, Kansas, United States. As of the 2010 census, the city population was 20,525.
Document 14: Clay Center, Kansas: Clay Center is a city in and the county seat of Clay County, Kansas, United States. As of the 2010 census, the city population was 4,334.
Document 15: Lincoln County, Arkansas: Lincoln County is located between the Arkansas Timberlands and Arkansas Delta in the U.S. state of Arkansas. It is also within the Pine Bluff metro area, and on the outer edge of the Central Arkansas region. The county is named for Abraham Lincoln, the 16th President of the United States. Created as Arkansas's 65th county on March 28, 1871, Lincoln County has three incorporated cities, including Star City, the county seat and most populous city. The county contains 46 unincorporated communities and ghost towns, Cane Creek State Park at the confluence of Cane Creek and Bayou Bartholomew, and nine listings on the National Register of Historic Places to preserve the history and culture of the county.
ground_truth: 1,297