Degree 16: T₁₆₃₉

Name(s): t16n1639

Order: 4096 = 2¹²

Parity: -1

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

Subfields: 2T1, 4T3, 8T15

Other representations: 16T1639, 16T1639, 16T1641, 16T1641, 16T1639, 16T1639, 16T1639, 16T1639, 16T1639, 16T1641, 16T1641, 16T1641, 16T1641, 16T1641, 16T1641

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T6, 8T6, 8T9, 8T9, 8T9
  32: 8T15, 8T18, 16T29
  64: 8T26, 8T31, 16T126
  128: 8T35, 8T35, 16T409
  256: 16T689
  512: 16T988
  1024: 16T1271
  2048: 32T?