Thanks for a swift response.

Björn

On Friday, 9 September 2022 at 18:41:02 UTC+2 David Roe wrote:

> Thanks for the report.  There's a fix at #34514 
> <https://trac.sagemath.org/ticket/34514>, needs review.
> David
>
> On Fri, Sep 9, 2022 at 5:17 AM Björn Selander <bosea...@gmail.com> wrote:
>
>> Hi, 
>>
>> running the Sage script 
>>
>> K.<a> = NumberField(x^4 + 18*x^2 - 1)
>> R.<y> = K[]
>> L.<b> = K.extension(y^2 + 9*a^3 - 2*a^2 + 162*a - 38)
>>
>> dt = [L.decomposition_type(i) for i in K.primes_above(3)]
>> print(dt)
>>
>> gives the output
>>
>> [[(1, 1, 2)], [(1, 1, 2)], [(1, 1, 1)]]
>>
>> The third element in the list ought to be nonsense. Certainly the 
>> products of the entries of all sublists should be 2. 
>>
>> Regards
>> Björn
>>
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