Degree 16: T₁₆₄₀

Name(s): t16n1640

Order: 4096 = 2¹²

Parity: -1

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

Subfields: 2T1, 4T3, 8T35

Other representations: 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640, 16T1640

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: 8T8, 8T8, 8T9, 8T9, 8T9
  32: 8T15, 8T18, 16T48
  64: 8T31, 16T155, 16T175
  128: 8T35, 8T35, 32T?
  256: 16T700
  512: 32T?
  1024: 16T1252
  2048: 32T?