Documentation for .conjugacy_classes_representatives() does not mention that it is not deterministic

[maxale]

Steps To Reproduce

The following code illustrates that the .conjugacy_classes_representatives() method is not deterministic:

sage: P = PermutationGroup( SymmetricGroup(7).gens() )
sage: set( P.conjugacy_classes_representatives() ) == set( P.conjugacy_classes_representatives() )
False

Expected Behavior

Method .conjugacy_classes_representatives() is a wrapper for GAP's function Representative() whose documentation says:

Note that Representative is free in choosing a representative if there are several elements in C. It is not even guaranteed that Representative returns the same representative if it is called several times for one collection.

Actual Behavior

Sage's documentation for .conjugacy_classes_representatives() fails to mention this important property, which may lead to unexpected side effects in an unaware code.

Additional Information

It may be even worth to include example illustrating the issue (like the one above) to raise awareness.

Environment

- **OS**: Ubuntu 22.04.3 LTS
- **Sage Version**: 10.2.beta5

Checklist

• [X] I have searched the existing issues for a bug report that matches the one I want to file, without success.
• [X] I have read the documentation and troubleshoot guide

[RuchitJagodara]

Can you please check again the results because it is giving True in my case.

[maxale]

It is False on my system, and it is also False at Sagecell. This may be system-dependent. Anyway, the point is that for some permutations groups it may be False, and there is nothing wrong with it as soon as this behavior is documented.