#9414: make the rational number field, consistent with other number fields
-----------------------------+----------------------------------------------
Reporter: rkirov | Owner: davidloeffler
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: number fields | Keywords: number field, rationals
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Currently QQ behaves different than a generic number field. This forces
number theory functions to treat QQ separately, which is inconvenient.
{{{
K = QQ
I = K.ideal(7)
}}}
This creates ideal that does not have the functions I.denominator,
I.numerator, I.prime_ideals() ... which a fractional ideal in a number
field should have
{{{
K.<a> = NumberField(x^2+2)
I = K.ideal(7)
}}}
Similarly, QQ.places() is not implemented; it should return the one
infinite place for Q. Although there seems to be QQ.embeddings().
{{{
QQ.places()
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9414>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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