Degree 16: T₁₇₀₉

Name(s): t16n1709

Order: 8192 = 2¹³

Parity: -1

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

Subfields: 2T1, 4T3, 8T35

Other representations: 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709, 16T1709

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, 8T2, 8T2, 8T2, 8T2, 8T2, 8T2, 8T3
  16: 8T9, 8T9, 8T9, 8T9, 8T10, 8T10, 8T10, 8T10, 8T11, 8T11, 16T2
  32: 8T18, 8T21, 8T21, 8T21, 8T21, 16T19, 16T19, 16T21, 16T34, 16T34, 16T54
  64: 8T29, 8T29, 16T76, 16T102, 32T?
  128: 8T35, 8T35, 16T208, 16T249, 16T304, 16T345, 16T400
  256: 32T?, 32T?, 32T?
  512: 16T815, 16T893, 16T926
  1024: 32T?
  2048: 16T1414
  4096: 32T?