Degree 16: T₁₅₈₈

Name(s): t16n1588

Order: 4096 = 2¹²

Parity: 1

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

Subfields: 2T1, 2T1, 2T1, 4T2, 8T31

Other representations: 16T1626, 16T1626, 16T1626, 16T1626, 16T1588, 16T1626, 16T1626, 16T1626, 16T1626, 16T1626, 16T1626, 16T1626, 16T1626, 16T1626, 16T1626, 16T1588, 16T1588, 16T1588, 16T1588, 16T1588, 16T1588, 16T1588, 16T1588, 16T1588, 16T1588, 16T1588, 16T1626, 16T1588, 16T1588, 16T1626, 16T1588

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 16T3
  32: 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T22, 8T22, 16T25, 16T25, 16T25, 16T25, 16T25
  64: 8T29, 8T29, 8T31, 8T31, 8T31, 8T31, 8T31, 8T31, 16T87, 16T105, 16T105, 16T109, 16T109, 16T109, 16T109
  128: 16T246, 16T246, 16T246, 16T271, 32T?
  256: 16T531, 16T531, 16T592
  512: 32T?
  1024: 16T1171, 16T1234, 16T1234
  2048: 64T?