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Package sage :: Package tables :: Module jones :: Class Database |
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object
--+ |_uniq
--+ |Database
--+ | Database
Method Summary | |
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__init__(self,
read_only)
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__getitem__(self,
S)
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__repr__(self)
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Return all fields in the database of degree d ramified exactly at the primes in S. | |
Return iterator over fields in the database of degree d unramified outside S. | |
Inherited from Database | |
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Return a dict representation of the database. | |
Informs the database that some items corresponding to the given key may have changed. | |
Copy the database to a new database with the given new_name. | |
Commit the new version of this object to the database file. | |
Delete every entry in the database. | |
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This should pack, but I couldn't get pack working with compressed storage. | |
Completely rebuild the database from scratch, by going through and writing everything out to a temporary database, then moving the temporary database files over self's files. | |
Restore from the filename which must store a pickled dict. | |
Restore all files that start with the given basename. | |
Inherited from object | |
x.__delattr__('name') <==> del x.name | |
x.__getattribute__('name') <==> x.name | |
x.__hash__() <==> hash(x) | |
helper for pickle | |
helper for pickle | |
x.__setattr__('name', value) <==> x.name = value | |
x.__str__() <==> str(x) |
Instance Method Details |
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ramified_at(self, 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 EXAMPLES: >>> from sage.all import tables >>> J = tables.jones() >>> J.ramified_at([101,119]) >>> J.ramified_at([119]) >>> 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] |
unramified_outside(self, 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. INPUT: S -- list or set of primes d -- None (default) or an integer EXAMPLES: >>> from sage.all import tables >>> J = tables.jones() >>> 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] |
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