Degree 16: T₁₄₀₉

Name(s): t16n1409

Order: 2048 = 2¹¹

Parity: -1

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

Subfields: 2T1, 4T3, 8T30

Other representations: 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409, 16T1409

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, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T11, 8T11, 16T2
  32: 8T18, 8T21, 8T21, 8T21, 8T21, 16T19, 16T19, 16T21, 16T34, 16T43, 16T54
  64: 8T29, 8T29, 8T30, 8T30, 8T30, 8T30, 16T92, 16T92, 32T?
  128: 16T217, 16T248, 16T248, 16T249, 16T295, 16T310, 16T310
  256: 32T?, 32T?, 32T?
  512: 16T938
  1024: 32T?