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I was surprised that I couldn't see a way to search only for Galois or only abelian number fields.
This seems like a useful feature that would probably be easiest to implement by adding a couple of c…
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Given a polynomial from ℚ[X], we need a better way to express its roots using radical expressions if such an expression is possible.
The current approach, as used by e.g. `NumberFieldElement._symbo…
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Let `K. = NumberField(f)`. The method `K.is_galois()` does the following:
```
if self.degree() < 12:
return self.galois_group(type='pari').order() == self.degree()
else:
return len(self.aut…
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GAP can compute Galois groups of number fields of degree up to 15. This will allow avoiding Kash (not available for all platforms, binary only, etc) usage for degrees between 11 and 15.
It will need…
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From the feedback page, the following search times out:
https://www.lmfdb.org/NumberField/?degree=2&sort_order=h&sort_order=h
jwj61 updated
3 months ago
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I was wondering if there is an implementation of rings over Galois Fields F[x, y ...]? It seems that `SemialgebraicSets` are not supposed to use with custom fields other from R or C. I know about `Nem…
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This is essentially #4105 but for Galois group elements.
```
sage: K. = NumberField(x^6 + 40*x^3 + 1372)
sage: G = K.galois_group()
sage: L = [G.artin_symbol(Q) for Q in K.primes_above(5)]
sage: L[…
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On the genus 2 pages, we list a defining polynomial for the image of the mod 2 Galois representation, and this is useful!
We should do this for elliptic curves over the rationals, as long as they a…
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Hello,
The following error is thrown when I attempt to use the multiprocessing module when the function contains Galois fields:
```
Exception in thread Thread-8: = 3. Or at least, I have checked …
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Right now, `is_abelian()` fails for relative number fields as it calls `is_galois()` which is set to fail for relative number fields.
One can check if it is abelian by looking at `automorphisms()` …