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Size: 48347
Comment: py3 print
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← Revision 68 as of 2020-06-14 09:10:48 ⇥
Size: 48543
Comment: fixone
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| Deletions are marked like this. | Additions are marked like this. |
| Line 79: | Line 79: |
| html(s) | pretty_print(html(s)) |
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| def _(N=(100,(2..2000))): html("<font color='red'>$\pi(x)$</font> and <font color='blue'>$x/(\log(x)-1)$</font> for $x < %s$"%N) show(plot(prime_pi, 0, N, rgbcolor='red') + plot(x/(log(x)-1), 5, N, rgbcolor='blue')) |
def _(N=(100,list(range(2,2000)))): pretty_print(html(r"<font color='red'>$\pi(x)$</font> and <font color='blue'>$x/(\log(x)-1)$</font> for $x < %s$"%N)) show(plot(prime_pi, 0, N, color='red') + plot(x/(log(x)-1), 5, N, color='blue')) |
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Needs fix for show_factors |
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| {{{#!sagecell html('<h1>Cuspidal Subgroups of Modular Jacobians J0(N)</h1>') |
ncols not working {{{#!sagecell pretty_print(html('<h1>Cuspidal Subgroups of Modular Jacobians J0(N)</h1>')) |
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| 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 $',(i+.5,r-j-.5),rgbcolor='black') |
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| MP += text('$ \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)) |
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| html('$$J(%s,%s) = %s$$'%(latex2(e),latex2(f),latex(js))) | pretty_print(html('$$J(%s,%s) = %s$$'%(latex2(e),latex2(f),latex(js)))) |
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| html(s)}}} | pretty_print(html(s)) }}} |
| Line 776: | Line 781: |
| html(""" | pretty_print(html(""" |
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| (g^ b)^a, g^a, b, p, (g^a)^b)) | (g^ b)^a, g^a, b, p, (g^a)^b))) |
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crows not working |
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| def _(m=selector([1..15],nrows=2), n=(7,(3..10))): | def _(m=selector([1..15],nrows=2), n=(7,[3..10])): |
| Line 826: | Line 833: |
| s = "<h3>First n=%s Bernoulli numbers attached to characters with modulus m=%s</h3>"%(n,m) s += '<table border=1>' s += '<tr bgcolor="#edcc9c"><td align=center>$\\chi$</td><td>Conductor</td>' + \ ''.join('<td>$B_{%s,\chi}$</td>'%k for k in [1..n]) + '</tr>' |
s = r"<h3>First n=%s Bernoulli numbers attached to characters with modulus m=%s</h3>"%(n,m) s += r'<table border=1>' s += r'<tr bgcolor="#edcc9c"><td align=center>$\chi$</td><td>Conductor</td>' + \ ''.join(r'<td>$B_{%s,\chi}$</td>'%k for k in [1..n]) + '</tr>' |
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| html(s) | pretty_print(html(s)) |
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| L = [[-0.5, 2.0^(x/100.0) - 1 + sqrt(3.0)/2] for x in xrange(1000, -1, -1)] R = [[0.5, 2.0^(x/100.0) - 1 + sqrt(3.0)/2] for x in xrange(1000)] xes = [x/1000.0 for x in xrange(-500,501,1)] |
L = [[-0.5, 2.0^(x/100.0) - 1 + sqrt(3.0)/2] for x in range(1000, -1, -1)] R = [[0.5, 2.0^(x/100.0) - 1 + sqrt(3.0)/2] for x in range(1000)] xes = [x/1000.0 for x in range(-500,501,1)] |
Contents
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
Needs fix for show_factors
Modular Forms
Computing modular forms
by William Stein
Computing the cuspidal subgroup
by William Stein
ncols not working
A Charpoly and Hecke Operator Graph
by William Stein
Modular Arithmetic
Quadratic Residue Table FIXME
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
crows not working
Computing Generalized Bernoulli Numbers
by William Stein (Sage-2.10.3)
Fundamental Domains of SL_2(ZZ)
by Robert Miller
Multiple Zeta Values
by Akhilesh P.
Computing Multiple Zeta values
Word Input
Composition Input
Program to Compute Integer Relation between Multiple Zeta Values
Word to composition
Composition to Word
Dual of a Word
Shuffle product of two Words
Shuffle Regularization at 0
Shuffle Regularization at 1
