PellSolution

The fundamental solution $(t,u)$, $u>0$, of Pell's equation $t^2-Du^2=4$.

PellSolution(D)the pair $(t,u)$

Typed signatures

Type	Package	Applies
(integer) -> list	modular	always

Domain: The modular group

Examples

Basic #

$3^2-5\cdot 1^2=4$

live ↗

In$\mathrm{PellSolution}(5)$Out$\bigl\lbrack3, 1\bigr\rbrack$

$4^2-12\cdot 1^2=4$

live ↗

In$\mathrm{PellSolution}(12)$Out$\bigl\lbrack4, 1\bigr\rbrack$

About

Examples	2

See also: FormClassNumber, FormAutomorph