NumberFieldFundamentalUnits

NumberFieldFundamentalUnits[a] gives a list of fundamental units for the field ℚ[a] generated by the algebraic number a.

Examples

Find fundamental units for a quadratic field:

NumberFieldFundamentalUnits[Sqrt[2]]
(* {1 + Sqrt[2]} *)

For a cubic field:

NumberFieldFundamentalUnits[2^(1/3)]
(* {-1 + 2^(1/3)} *)

Please visit the official Wolfram Language Reference for more details.