Degree 16: T₁₅₇₁

Name(s): t16n1571

Order: 4096 = 2¹²

Parity: -1

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

Subfields: 2T1, 4T3, 8T28

Other representations: 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571, 16T1571

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, 4T3, 4T3, 4T3, 4T3, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 8T10, 16T2
  32: 8T18, 8T18, 8T18, 8T18, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 8T21, 16T21, 16T21, 16T21
  64: 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 8T27, 16T79, 16T92, 16T92, 16T92, 16T92, 16T94, 16T94
  128: 16T227, 16T227, 16T227, 16T227, 16T261, 16T261, 16T261, 16T261, 16T261, 16T261, 16T261, 16T261, 16T275, 16T275, 16T275
  256: 16T502, 16T502, 16T502, 16T502, 16T581, 16T623, 16T623
  512: 16T911, 16T911, 16T911
  1024: 16T1224
  2048: 32T?