Differences between revisions 65 and 66
 ⇤ ← Revision 65 as of 2019-11-14 20:52:33 → Size: 48344 Editor: chapoton Comment: no xrange ← Revision 66 as of 2020-06-04 19:10:25 → ⇥ Size: 48486 Editor: kcrisman Comment: Deletions are marked like this. Additions are marked like this. Line 79: Line 79: html(s) pretty_print(html(s)) Line 89: Line 89: html("$\pi(x)$ and $x/(\log(x)-1)$ for $x < %s$"%N) pretty_print(html("$\pi(x)$ and $x/(\log(x)-1)$ for $x < %s$"%N)) Line 230: Line 230: Needs fix for show_factors Line 326: Line 328: {{{#!sagecellhtml('

Cuspidal Subgroups of Modular Jacobians J0(N)

') ncols not working{{{#!sagecellpretty_print(html('

Cuspidal Subgroups of Modular Jacobians J0(N)

')) Line 473: Line 477: MP += text('$\omega^2$',(i+.5,r-j-.5),rgbcolor='black') MP += text(r'$\omega^2$',(i+.5,r-j-.5),rgbcolor='black') Line 475: Line 479: MP += text('$\omega$',(i+.5,r-j-.5),rgbcolor='black') MP += text(r'$\omega$',(i+.5,r-j-.5),rgbcolor='black') Line 484: Line 488: MP += text('$\pi_1$',(r/2,r+2), rgbcolor='black', fontsize=25)    MP += text('$\pi_2$',(-2.5,r/2), rgbcolor='black', fontsize=25)    html('Symmetry of Primary Cubic Residues mod ' \          + '%d primary primes in $\mathbf Z[\omega]$.'%r) MP += text(r'$\pi_1$',(r/2,r+2), rgbcolor='black', fontsize=25)    MP += text(r'$\pi_2$',(-2.5,r/2), rgbcolor='black', fontsize=25)    pretty_print(html('Symmetry of Primary Cubic Residues mod ' \          + r'%d primary primes in $\mathbf Z[\omega]$.'%r)) Line 642: Line 646: html('$$J(%s,%s) = %s$$'%(latex2(e),latex2(f),latex(js))) pretty_print(html('$$J(%s,%s) = %s$$'%(latex2(e),latex2(f),latex(js)))) Line 662: Line 666: html(s)}}} pretty_print(html(s))}}}

# Integer Factorization

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

by William Stein

by David Runde

## Prime Spiral - Polar

by David Runde

Needs fix for show_factors

# Modular Forms

by William Stein

## Computing the cuspidal subgroup

by William Stein

ncols not working

by William Stein

by Emily Kirkman

by Emily Kirkman

by Emily Kirkman

by Emily Kirkman

# Elliptic Curves

## Adding points on an elliptic curve

by David Møller Hansen

# Cryptography

## The Diffie-Hellman Key Exchange Protocol

by Timothy Clemans and William Stein

# Other

by William Stein

## Computing Generalized Bernoulli Numbers

by William Stein (Sage-2.10.3)

by Robert Miller

# Multiple Zeta Values

by Akhilesh P.

## Shuffle Regularization at 1

interact/number_theory (last edited 2020-06-14 09:10:48 by chapoton)