Salem

ref : D.H. Lehmer , factorization of certain cyclotomic functions,
Annals of Math, Serie 2, vol 34, 1933, pp. 461-479.

David Boyd, Small Salem numbers, Duke Math Journal, vol 44, 1977, pp. 315-328 this number is an algebraic number of the 10th degree.

1.176280818259917506544070338474035050693415806564695259830106347 0296883765485499620968301155818153946592071813793476817656271429 9390469080189480252316007759657054606241887504896232590717733457 1567548096997559812677289401128791972456983735177677402547018406 6278603009315383369626077626819915970468346466323231071265612414 2230084750982757531788114948316855868535248394324346506941148983 5604855670999941131248924651646199928894650701513975703312904628 5965316234036730870359350603811812061902043009241085523839830214 9953872876195952056739715886750661129345807575743980651247047412 2134188106798291251486337803701296891625290465195911765657939458 5147548608924166974891816070204188007795273821303291763399098187 4464693191554220975967586181179145555664298356496556596386045043 4719067256426322958012208664666341022433004123110637753690615489 2804267030782226373027706825877145786773674445329003975537521344 3969594529828030667432608207317189943453247528925058415973944040 8254461851691378006656323698981137666295496727278749361016763363