test2.sagews

%gp
factor(2^192-1)

[ 3 2] [ 5 1] [ 7 1] [ 13 1] [ 17 1] [ 97 1] [ 193 1] [ 241 1] [ 257 1] [ 641 1] [ 673 1] [ 65537 1] [ 6700417 1] [ 22253377 1] [18446744069414584321 1]

︠fc618ecd-6c90-4ad7-8713-b40dbe3973f9︠

%var x y z
g = golden_ratio; r = 4.77
p = 2 - (cos(x + g*y) + cos(x - g*y) + cos(y + g*z) +
         cos(y - g*z) + cos(z - g*x) + cos(z + g*x))
show(implicit_plot3d(p, (x, -r, r), (y, -r, r), (z, -r, r),
                plot_points=30, color='orange', mesh=1, opacity=.7), spin=1)

3D rendering not yet implemented

a = 2 + 3

5

a = plot(sin)

gp.ellanalyticrank?

File: /projects/sage/sage-6.9/local/lib/python2.7/site-packages/sage/interfaces/gp.py
Signature : gp.ellanalyticrank(*args, **kwds)
Docstring :
ellanalyticrank(e, {eps}): returns the order of vanishing at s=1 of
the L-function of the elliptic curve e and the value of the first non-
zero derivative. To determine this order, it is assumed that any value
less than eps is zero. If no value of eps is given, a value of half
the current precision is used.