Degree 16: T₁₇₇₈

Name(s): t16n1778

Order: 16384 = 2¹⁴

Parity: -1

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

Subfields: 2T1, 4T3, 8T29

Other representations: 16T1772, 16T1772, 16T1772, 16T1772, 16T1772, 16T1772, 16T1772, 16T1772, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1778, 16T1772, 16T1772, 16T1772, 16T1772, 16T1772, 16T1772, 16T1772, 16T1772

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, 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, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 16T3
  32: 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T18, 8T22, 8T22, 16T25, 16T25, 16T25, 16T25, 16T25
  64: 8T29, 8T29, 8T29, 8T31, 8T31, 8T31, 8T31, 8T31, 16T87, 16T105, 16T105, 16T109, 16T109, 16T109, 16T109
  128: 8T35, 8T35, 8T35, 8T35, 16T246, 16T246, 16T246, 16T246, 32T?
  256: 16T509, 16T509, 16T512, 16T531, 16T540, 16T546, 16T608
  512: 32T?, 32T?, 32T?
  1024: 16T1116, 16T1148, 16T1148
  2048: 32T?
  4096: 16T1590
  8192: 32T?