For 10 points, name these numbers that are in the form "a" plus "b" "i".
The Klein quartic, which is a projective algebraic curve over these numbers, forms a Riemannian surface when located in CP2. A type of function that uses these numbers as inputs is infinitely differentiable and is called a holomorphic function. Numbers that are an extension of these numbers are in four dimensional real vector space and are called quaternions. These numbers include Gaussian integers and can be plotted on an Argand diagram. A quadratic equation with a negative discriminant has these numbers as solutions. For 10 points, name these numbers that are in the form "a" plus "b" "i".
The Klein quartic, which is a projective algebraic curve over these numbers, forms a Riemannian surface when located in CP2.
Complex Numbers