👉 The term "conjugator" in the context of algebraic number theory refers to a function that takes two elements of a field and returns their product, where the coefficients are complex numbers. This operation is often used in the study of quadratic fields, which are extensions of the real numbers that contain a primitive element (the square root of -1) but also allow for the existence of additional roots. In other words, the conjugator function takes two elements of a field and returns their product as