Degree 16: T₁₇₁₁

Name(s): t16n1711

Order: 8192 = 2¹³

Parity: -1

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

Subfields: 2T1, 4T3, 8T35

Other representations: 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711, 16T1711

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, 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, 16T3
  32: 8T15, 8T15, 8T15, 8T15, 8T18, 8T18, 8T18, 8T18, 16T25, 16T25, 16T25
  64: 8T29, 8T31, 16T89, 16T89, 16T105
  128: 8T35, 8T35, 8T35, 8T35, 16T245, 16T255, 16T262
  256: 16T509, 16T509, 32T?
  512: 16T878
  1024: 32T?
  2048: 16T1400
  4096: 32T?