#7160: comparison with quadratic number field elements needs work
-----------------------------+----------------------------------------------
Reporter: mhansen | Owner: davidloeffler
Type: defect | Status: needs_work
Priority: major | Milestone: sage-4.2.1
Component: number fields | Keywords:
Work_issues: | Author: Mike Hansen
Reviewer: | Merged:
-----------------------------+----------------------------------------------
Changes (by cremona):
* status: needs_review => needs_work
Comment:
I think this is confusing: you have an ordering of elements of a real or
imaginary quadratic field which is based on some kind of lexicographic
ordering on the representation of the elements rather than anything
mathematical. Presumably this is so lists, etc, can be sorted in a
pythonic way. But I find this bizarre:
{{{
sage: K.<i> = QuadraticField(-1)
sage: i>0
True
}}}
and this raises a strange error:
{{{
sage: K.<a> = NumberField(x^2+x-10)
sage: a < -a
---------------------------------------------------------------------------
SystemError Traceback (most recent call
last)
/home/john/.sage/temp/ubuntu/790/_home_john__sage_init_sage_0.py in
<module>()
SystemError: error return without exception set
sage: Type(K)
---------------------------------------------------------------------------
NameError Traceback (most recent call
last)
/home/john/.sage/temp/ubuntu/790/_home_john__sage_init_sage_0.py in
<module>()
NameError: name 'Type' is not defined
sage: type(K)
<class 'sage.rings.number_field.number_field.NumberField_quadratic'>
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7160#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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