Algebraic numbers

square root of negative one, used to define complex numbers

complex number that is a root of a non-zero polynomial in one variable with rational coefficients

complex number whose positive integer power equals one

complex number whose real and imaginary parts are both integers

complex number whose mapping on a coordinate plane produces a triangular lattice

complex number that solves a monic polynomial with integer coefficients

real number that can be geometrically constructed with compass and straightedge from a unit segment in a finite number of steps

integer sequence

real algebraic integer >1, whose Galois conjugates all have absolute value <1.

algebraic irrational number

theorem that algebraic numbers do not have unusually accurate rational approximations

irrational number produced by taking the sine or cosine of a rational multiple of a full circle

real algebraic numbers, roots of the Chebyshev polynomials of the first kind

type of algebraic integer