Differences between revisions 22 and 28 (spanning 6 versions)
Revision 22 as of 2012-05-09 04:48:04
Size: 30457
Editor: jason
Comment:
Revision 28 as of 2012-05-09 13:09:01
Size: 30464
Editor: chapoton
Comment: fixed "A Charpoly and Hecke Operator Graph" ?
Deletions are marked like this. Additions are marked like this.
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        N = M.copy()         N = copy(M)
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== Computing modular forms FIXME == == Computing modular forms ==
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j = 0
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    print j; global j; j += 1
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== A Charpoly and Hecke Operator Graph FIXME == == A Charpoly and Hecke Operator Graph ==
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    G = Graph(T, multiedges=True, loops=not three_d)     G = DiGraph(T, multiedges=not three_d)
    if three_d:
        G.remove_loops()
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== Adding points on an elliptic curve == == Adding points on an elliptic curve FIXME ==
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== Continued Fraction Plotter == == Continued Fraction Plotter FIXME ==
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def _(gen = selector(['t+1', 't-1', '-1/t'], nrows=1)): def _(gen = selector(['t+1', 't-1', '-1/t'], buttons=True,nrows=1)):

Integer Factorization

Divisibility Poset

by William Stein

divposet.png

Factor Trees

by William Stein

factortree.png

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

primes.png

Prime Spiral - Square FIXME

by David Runde

SquareSpiral.PNG

Prime Spiral - Polar

by David Runde

PolarSpiral.PNG

Modular Forms

Computing modular forms

by William Stein

modformbasis.png

Computing the cuspidal subgroup

by William Stein

cuspgroup.png

A Charpoly and Hecke Operator Graph

by William Stein

heckegraph.png

Modular Arithmetic

Quadratic Residue Table FIXME

by Emily Kirkman

quadres.png

quadresbig.png

Cubic Residue Table FIXME

by Emily Kirkman

cubres.png

Cyclotomic Fields

Gauss and Jacobi Sums in Complex Plane

by Emily Kirkman

jacobising.png

Exhaustive Jacobi Plotter

by Emily Kirkman

jacobiexh.png

Elliptic Curves

Adding points on an elliptic curve FIXME

by David Møller Hansen

PointAddEllipticCurve.png

Plotting an elliptic curve over a finite field

ellffplot.png

Cryptography

The Diffie-Hellman Key Exchange Protocol

by Timothy Clemans and William Stein

dh.png

Other

Continued Fraction Plotter FIXME

by William Stein

contfracplot.png

Computing Generalized Bernoulli Numbers

by William Stein (Sage-2.10.3)

bernoulli.png

Fundamental Domains of SL_2(ZZ)

by Robert Miller

fund_domain.png

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