On Sunday 24 March 2024 at 04:41:25 UTC-7 Przemysław Koprowski wrote:

Let me just comment on your words "searching the source, this routine isn't 
actually used elsewhere in sage" (here: 
https://github.com/sagemath/sage/pull/37657). It is not entirely true, 
because, as far as I know, the method is_padic_square (in the class of a 
number field element) internally relies on the quadratic_defect.

Thanks! I based my assessment on the search result that github returned for 
`quadratic_defect`. It only returned two hits for me.
Lesson: Don't rely on github search. It's far from exhaustive. 

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