#5508: [with patch, needs review] Improvements for relative number fields
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Reporter: fwclarke | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-3.4.1
Component: number theory | Keywords:
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The attached patch implements many improvements for relative number
fields.
In particular a whole load of previously unimplemented functions for
ideals in a relative number field now work, and others work better.
Following discussion at
[http://groups.google.co.uk/group/sage-
nt/browse_thread/thread/16106258cd436515?hl=en-GB sage-nt thread],
for several functions the distinction between the relative and absolute
version has been made explicit, in order to avoid ambiguity.
Thus, for example, for a relative number
field both relative_degree and absolute_degree are defined but degree is
unimplemented, while for an absolute number field relative_degree,
absolute_degree and degree are ''all'' defined (with the same meaning).
This has entailed a few minor changes to enable
functions to work with either absolute or relative number fields.
It has been suggested that `NumberField` should only be allowed to
generate
an absolute number field. I have not implemented this, but I have made
`NumberFieldTower` publicly available and used it in several
doctests. If a change was made to `NumberField`, `NumberFieldTower` could
retain the old functionality of `NumberField`.
A number of other minor changes have been made, and these seem to fix
#5276, #5214 and #2551
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5508>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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