Degree 16: T₁₇₂₇

Name(s): t16n1727

Order: 8192 = 2¹³

Parity: 1

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

Subfields: 2T1, 4T3, 8T28

Other representations: 16T1731, 16T1731, 16T1731, 16T1731, 16T1731, 16T1727, 16T1727, 16T1727, 16T1727, 16T1727, 16T1727, 16T1727, 16T1731, 16T1731, 16T1731

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, 16T43, 16T43, 16T54
  64: 8T27, 8T27, 8T27, 8T27, 8T31, 8T31, 16T76, 16T94, 32T?
  128: 16T208, 16T230, 16T261, 16T261, 16T266, 16T284, 16T324
  256: 32T?, 32T?, 32T?
  512: 16T815, 16T821, 16T912
  1024: 32T?
  2048: 16T1379
  4096: 32T?