Please support providing a specific factorization for modular nth_root()

[ytrezq]

Problem Description

The purpose is to factorize a given order outside SageMath and provided it to nth_root.

Typically usefull when the order is too large to be factorzd using ecm.

Proposed Solution

Add a vector argument to the nth_root function

Alternatives Considered

Paris/gp uses addprimes which allows to add primes as seed to any factorization operations

Additional Information

No response

Is there an existing issue for this?

• I have searched the existing issues for a bug report that matches the one I want to file, without success.