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The patches describe and doctest this better, but...
* Extends composite_fields and galois_closure to return maps when asked
* Uses the new coercion embedding to only return "coherent" composition…
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I would like to use pari's galois computations (such as nfgaloisconj) and finer number field functions (such as nfroots). The interface (in sage.libs.pari.gen) needs to be upgraded.
Component: **n…
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It would be very useful if for a congruence subgroup G and an integer d coprime to the level N of G, one could compute the action on cusps (modulo G) of `tau_d \in Gal(Q(zeta_N)/Q)`. This action i…
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The attached patch (relative to 3.4.1.rc4) implements a number of changes to the number field
code. All have corresponding doctests verifying the new behaviour.
In particular:
* The following now…
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The attached patch adds support for pari's rnfidealdown. This is simple but exposes a weakness in Sage's number field relativize() function, which I address at the same time. Namely, relativize al…
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This attached patch makes several changes to
`sage/rings/number_field/number_field.py` and
`sage/rings/number_field/morphism.py` that are mainly concerned with
improving performance for cyclotomic f…
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It would be useful, for multimodular algorithms (and more!) to be able to find degree one primes in a number field.
For posterity, the following IRC transcript, copied from #903, is relevant:
```
…