Degree 16: T₁₇₄₃

Name(s): t16n1743

Order: 8192 = 2¹³

Parity: -1

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

Subfields: 2T1, 4T3, 8T35

Other representations: 16T1743, 16T1743, 16T1743, 16T1743, 16T1743, 16T1743, 16T1743, 16T1737, 16T1737, 16T1737, 16T1737, 16T1737, 16T1737, 16T1737, 16T1737

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T9, 8T9, 8T11
  32: 8T18, 8T18, 8T18, 16T34, 16T34, 16T43, 16T51
  64: 8T26, 8T26, 8T31, 8T31, 32T?
  128: 8T35, 8T35, 16T342, 16T373, 16T402, 16T406, 16T408
  256: 32T?, 32T?, 32T?
  512: 16T1025
  1024: 32T?
  2048: 16T1452
  4096: 32T?