[read_only=True]) |
ramified_at,
unramified_outside
Further documentation:
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 in x with defining polynomial x^2 - 101, Number Field in x with defining polynomial x^4 - x^3 + 13*x^2 - 19*x + 361, Number Field in x with defining polynomial x^5 + 2*x^4 + 7*x^3 + 4*x^2 + 11*x - 6, Number Field in x with defining polynomial x^5 + x^4 - 6*x^3 - x^2 + 18*x + 4, Number Field in x 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 in x with defining polynomial x - 1, Number Field in x with defining polynomial x^2 - 101, Number Field in x with defining polynomial x^4 - x^3 + 13*x^2 - 19*x + 361, Number Field in x with defining polynomial x^5 + 2*x^4 + 7*x^3 + 4*x^2 + 11*x - 6, Number Field in x with defining polynomial x^5 + x^4 - 6*x^3 - x^2 + 18*x + 4, Number Field in x 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:
__getitem__,
__repr__,
_init,
_load
Further documentation:
[path=/home/was/sage/data/src/jones_data/]) |
Create the database from scratch from the PARI files on John Jone's web page, downloaded (e.g., via wget) to a local directory, which is specified as path above.
INPUT: -- (default works on William Stein install.) path must be the path to Jone's Number_Fields directory http://hobbes.la.asu.edu/Number_Fields These files should have been downloaded using wget.
This is how to create the database from scratch, assuming that the number fields are in the default directory above: From a cold start of SAGE:
sage: J = JonesDatabase(read_only=False) sage: J._init() ... This takes about 5 seconds.
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