I have an ideal and computed its Groebner basis (6 hours). Now I want to
store this result, which is not the problem itself, but when loading
this data, it seems not possible to reconstruct the ideal (meaning
create it with the original generators and "bootstrap" the groebner
basis found earlier).

As the Groebner basis is cached somewhere via cached_method: Is there an
option, so that the data stored by cached_method is saved as well when
saving e.g. the whole ideal?

Any ideas how to do this (nicely)?

[I ask for "nicely", as, of course, I can create the ideal of the
original generators, and then access the cache of groebner_basis
manually and push the stored data somehow into it.

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