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# Integer Factorization

## Divisibility Poset

by William Stein ## Factor Trees

by William Stein More complicated demonstration using Mathematica: http://demonstrations.wolfram.com/FactorTrees/

## Factoring an Integer

by Timothy Clemans

Sage implementation of the Mathematica demonstration of the same name. http://demonstrations.wolfram.com/FactoringAnInteger/

# Prime Numbers

## Illustrating the prime number theorem

by William Stein ## Prime Spiral - Square FIXME

by David Runde ## Prime Spiral - Polar

by David Runde # Modular Forms

## Computing modular forms

by William Stein ## Computing the cuspidal subgroup

by William Stein ## A Charpoly and Hecke Operator Graph

by William Stein # Modular Arithmetic

by Emily Kirkman  ## Cubic Residue Table FIXME

by Emily Kirkman # Cyclotomic Fields

## Gauss and Jacobi Sums in Complex Plane

by Emily Kirkman ## Exhaustive Jacobi Plotter

by Emily Kirkman # Elliptic Curves

## Adding points on an elliptic curve

by David Møller Hansen ## Plotting an elliptic curve over a finite field # Cryptography

## The Diffie-Hellman Key Exchange Protocol

by Timothy Clemans and William Stein # Other

## Continued Fraction Plotter

by William Stein ## Computing Generalized Bernoulli Numbers

by William Stein (Sage-2.10.3) ## Fundamental Domains of SL_2(ZZ)

by Robert Miller # Multiple Zeta Values or Euler-Zagier numbers

by Akhilesh P.

## Computing Multiple Zeta values (Euler-Zagier numbers)

### Word Input ### Composition Input ## Program to Compute Integer Relation between Multiple Zeta Values (Euler-Zagier numbers) ## Word to composition ## Composition to Word ## Dual of a Word ## Shuffle product of two Words ## Shuffle Regularization at 0 ## Shuffle Regularization at 1 interact/number_theory (last edited 2020-06-14 09:10:48 by chapoton)