Bug in decomposition_type

[Björn Selander]

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

[David Roe]

Thanks for the report.  There's a fix at #34514, needs review.

David

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[Björn Selander]

Thanks for a swift response.

Björn