Please input information:

  1. degree
  2. r1
  3. r2
  4. |discK|
  5. hK
  6. Euclidean

Display

  1. degree
  2. r1
  3. r2
  4. polynomial

  6. discriminant
  7. hK
  8. Euclideanity
  9. Euclidean minimum
  10. number of critical points
  11. critical points
  12. fields per page
  13. classes

Syntax

You can enter a value (e.g. 3), or an interval (e.g. 2..4), or a combination of these notions (e.g. 2..4,6). I denotes infinity if you do not want to specify an upper bound (e.g. 4..I). In the form, any field can be empty.

About the table

17560 number fields listed (among them, 15675 are norm-Euclidean). Critical points are elements of K where the Euclidean minimum is reached (if they exist). There are finitely many such points modulo the integers of K, they are grouped by orbits according to the action of units of K.

Other tables

These tables were built to study number fields' norm-Euclideanity, as for other properties, you can see these more complete tables.
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