Any of the number type of these objects is an extension of the rationals.
In French, these mathematical objects are known as corps, meaning  body . Adjoining a primitive root of unity to the rationals gives the cyclotomic variety of these objects. Any of the number type of these objects is an extension of the rationals. The   quadratic variety of these objects are composed of        √numbers of the form a+b D, where D is squarefree, and examples of quadratic these include the one which contains the Eisenstein integers and the one which contains the Gaussian integers. Finite examples of these constructs with prime order p correspond to the residue classes mod p, and these objects must have zero and one elements. For ten points, identify these algebraic structures which include the real and complex numbers.
In French, these mathematical objects are known as corps, meaning  body .
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