sage-9.0.ipynb

Kernel: SageMath 9.0

SageMath 9.0 on CoCalc

Kernel: "SageMath 9.0"

import sys
sys.version

'3.7.3 (default, Jan  1 2020, 17:01:17) \n[GCC 7.4.0]'

EllipticCurve('420a').plot()

from admcycles import sepbdiv, psiclass
3*sepbdiv(1,(1,2),3,4) - psiclass(4,3,4)^2

Graph :      [1, 2] [[1, 2, 5], [3, 4, 6]] [(5, 6)]
Polynomial : 3*

Graph :      [3] [[1, 2, 3, 4]] []
Polynomial : (-1)*psi_4^2 

%timeit 12983419826482143*1238746219837469817324

The slowest run took 33.17 times longer than the fastest. This could mean that an intermediate result is being cached.
1000000 loops, best of 5: 347 ns per loop

g1 = plot(sin(x^2), (x, 0, 6), axes_labels=['$x$', '$y$'],
          axes=False, frame=True, gridlines='minor')
y = var('y')
g2 = streamline_plot((sin(x), cos(y)), (x,-3,3), (y,-3,3),
                     aspect_ratio=1)
g3 = graphs.DodecahedralGraph().plot()
g4 = polar_plot(sin(5*x)^2, (x, 0, 2*pi), color='green',
                fontsize=8) \
     + circle((0,0), 0.5, rgbcolor='red', fill=True, alpha=0.1,
              legend_label='pink')
g4.set_legend_options(loc='upper right')
G = graphics_array([[g1, g2], [g3, g4]])
G

S = SimplicialComplex([[1,4], [2,4]])
S

Simplicial complex with vertex set (1, 2, 4) and facets {(1, 4), (2, 4)}

S.add_face([1,3])
S

Simplicial complex with vertex set (1, 2, 3, 4) and facets {(1, 3), (1, 4), (2, 4)}

S.automorphism_group()

Permutation Group with generators [(1,4)(2,3)]

S.flip_graph()

f(x,y) = x^2 + y^2
plot3d(f, (-1,1), (-1,1))