Degree 16: T₁₅₈₂

Name(s): t16n1582

Order: 4096 = 2¹²

Parity: -1

|Aut(K)|=|C_S16(G)|= 2

Subfields: 2T1, 4T1, 8T27

Other representations: 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582, 16T1582

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T1, 4T1, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T7, 8T7, 8T7, 8T7, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T16, 8T16, 8T21, 8T21, 16T15, 16T15, 16T21
  64: 8T27, 8T27, 8T27, 8T27, 16T92, 16T95, 16T99
  128: 16T252, 16T261, 16T261
  256: 16T554
  512: 32T?
  1024: 16T1162
  2048: 32T?