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subgroup of unit group of number field (without calculating unit group)?

https://ask.sagemath.org/question/27274/subgroup-of-number-field-unit-group/

There is a similar question in this link. But I want to know whether I can do this (without knowing the unit group). So, I have collected a list of elements (from another code), which will be generators of the subgroup I want to generate. What should I do?