The `complement` method of vector subspaces is being renamed to 
`orthogonal_complement` (with deprecation) in PR #39659. This is because 
the method returns the orthogonal complement (which is not always a 
complementary subspace). A genuine complementary subspace can now be 
obtained by calling `complement(orthogonal=False)`, and that will 
presumably become the default for this method after the deprecation period.

If there are any concerns about this, please post a comment at PR 
<https://github.com/sagemath/sage/pull/39659>#39659 
<https://github.com/sagemath/sage/pull/39659> or the corresponding issue 
#31487 <https://github.com/sagemath/sage/issues/31487>.

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