gh-35063: Add notes about recent changes on KnotInfo
    
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This is a follow up of #33969, which used the Khovanov polynomial
KnotInfo data in a new conversion method. Unfortunately, this data has
since been removed from the website (but not from the database).

This PR merely adds appropriate notes to the documentation of the
KnotInfo interface module.

Since the missing data may cause confusion, it would be great if the
notes will be included in release 9.8.


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URL: #35063
Reported by: Sebastian Oehms
Reviewer(s): Matthias Köppe, Sebastian Oehms

Author: Release Manager

src/sage/knots/knotinfo.py

@@ -48,6 +48,12 @@
 the according documentation of :meth:`KnotInfoBase.homfly_polynomial`,
 :meth:`KnotInfoBase.jones_polynomial` and :meth:`KnotInfoBase.alexander_polynomial`.
 
+Furthermore, note that not all columns available in the database are visible on the web
+pages (see also the related note under :meth:`KnotInfoBase.khovanov_polynomial`).
+It is planned to remove non-visible columns from the database in the future (see
+the `Python Wrapper <https://github.com/soehms/database_knotinfo#readme>`__ for
+updated information).
+
 EXAMPLES::
 
     sage: from sage.knots.knotinfo import KnotInfo
@@ -1714,9 +1720,23 @@ def khovanov_polynomial(self, var1='q', var2='t', base_ring=ZZ, original=False):
 
         .. NOTE ::
 
-            The Khovanov polynomial given in KnotInfo corresponds to the mirror
-            image of the given knot for a `list of 140 exceptions
-            <https://raw.githubusercontent.com/soehms/database_knotinfo/main/hints/list_of_mirrored_khovanov_polynonmial.txt>`__.
+            The data used here were calculated with the program
+            `KhoHo <https://github.com/AShumakovitch/KhoHo>`__. They are no longer
+            visible on the website as of October 30, 2022. Instead, data
+            computed with `KnotJob <https://www.maths.dur.ac.uk/users/dirk.schuetz/knotjob.html>`__
+            are now displayed. The latter program is more accurate in terms of
+            orientation and reflection as it is based on ``PD`` code.
+
+            Even if they are not visible on the website, the data produced by
+            ``KhoHo`` are still available in the database. But maybe this will be
+            discontinued (check out the `Python wrapper <https://github.com/soehms/database_knotinfo#readme>`__ for updated information).
+            This interface will be adapted to the changes in an upcoming
+            release.
+
+            Since the results of ``KhoHo`` were computed using the ``DT`` notation,
+            the Khovanov polynomial returned by this method belongs to the
+            mirror image of the given knot for a `list of 140 exceptions
+            <https://raw.githubusercontent.com/soehms/database_knotinfo/ main /hints/list_of_mirrored_khovanov_polynonmial.txt>`__.
 
         EXAMPLES::