-
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…
-
For example:
```sage
sage: GF(5^6).over(GF(5^2)).random_element().minpoly().parent()
Univariate Polynomial Ring in x over Finite Field in z2 of size 5^2
sage: GF(5^4).over(GF(5^2)).random_element()…
-
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…
-
From the feedback page, the following search times out:
https://www.lmfdb.org/NumberField/?degree=2&sort_order=h&sort_order=h
jwj61 updated
1 month ago
-
It's quite possible to do an efficient rolling CRC. Let me know if you're interested in help with that. I could help with the mathematical theory, and practical implementations.
-
![image](https://github.com/vEnhance/napkin/assets/25191436/856981a5-94f2-4a97-92b9-9460174bed23)
I think the real infinite primes are not supposed to ramify, they should be inert.
(also that …
-
It would be nice to have Galois conjugates for elements in finite extensions of Q_p.
E.g.
```
sage: R. = Qp(3,20)[]
sage: K. = Qp(3,20).extension(X^2-3)
sage: t.galois_conjugates()
```
should ret…
-
Intel seems to have introduced some new instructions specifically designed for GF(256) operations, including matrix product and the like...
https://networkbuilders.intel.com/solutionslibrary/galois…
-
Would be nice if something like this could be made to work out of the box, unsure as to difficulty
```
sage: D = DirichletGroup(13)
....: c = D.Element(D,vector([2]))
....: N = Newforms(c,2,names="…
-
Python: 3.11.6, galois version 0.3.5, numpy version 1.24
This code produces an error:
```python
F = GF(2**8)
x = F([1, 1, 3])
x_invertible = x != 0
y = np.reciprocal(x, where=x_invertible)…
jimpo updated
10 months ago