[read_only=True]) |
ramified_at, unramified_outside
These methods are defined as follows:
S, [d=None]) |
Return all fields in the database of degree d ramified exactly at the primes in S.
INPUT: S -- list or set of primes d -- None (default) or an integer
sage: J = JonesDatabase() sage: J.ramified_at([101,119]) [] sage: J.ramified_at([119]) [] sage: J.ramified_at(101) [Number Field with defining polynomial x^2 - 101, Number Field with defining polynomial x^4 - x^3 + 13*x^2 - 19*x + 361, Number Field with defining polynomial x^5 + 2*x^4 + 7*x^3 + 4*x^2 + 11*x - 6, Number Field with defining polynomial x^5 + x^4 - 6*x^3 - x^2 + 18*x + 4, Number Field with defining polynomial x^5 - x^4 - 40*x^3 - 93*x^2 - 21*x + 17]
S, [d=None]) |
Return iterator over fields in the database of degree d unramified outside S. If d is omitted, return fields of any degree up to 6.
INPUT: S -- list or set of primes d -- None (default) or an integer
sage: J = JonesDatabase() sage: J.unramified_outside([101,119]) [Number Field with defining polynomial x - 1, Number Field with defining polynomial x^2 - 101, Number Field with defining polynomial x^4 - x^3 + 13*x^2 - 19*x + 361, Number Field with defining polynomial x^5 + 2*x^4 + 7*x^3 + 4*x^2 + 11*x - 6, Number Field with defining polynomial x^5 + x^4 - 6*x^3 - x^2 + 18*x + 4, Number Field with defining polynomial x^5 - x^4 - 40*x^3 - 93*x^2 - 21*x + 17]
Instances of class JonesDatabase also have the following special methods:
S) |
See About this document... for information on suggesting changes.