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Until #24623 is ready, the minimal code to plot the proposed vector field within the manifold framework is (this work with Sage 8.1):

R3 = Manifold(3, 'R^3')
X.<x,y,z> = R3.chart()
v = R3.vector_field()
v[:] = (x,y,z)
p = v.plot(max_range=5, scale=0.5)
p.show()

It is a little bit slow, but thanks to some optimisations, this should be improved in future versions of Sage. See the online doc for the list of all options of v.plot(). Note also that you can replace the last line by p.show(viewer='threejs').

Until #24623 #24623 is ready, the minimal code to plot the proposed vector field within the manifold framework is (this work with Sage 8.1):

R3 = Manifold(3, 'R^3')
X.<x,y,z> = R3.chart()
v = R3.vector_field()
v[:] = (x,y,z)
p = v.plot(max_range=5, scale=0.5)
p.show()

It is a little bit slow, but thanks to some optimisations, this should be improved in future versions of Sage. See the online doc for the list of all options of v.plot(). Note also that you can replace the last line by p.show(viewer='threejs').

Until #24623 is ready, the minimal code to plot the proposed vector field within the manifold framework is (this work works with Sage 8.1):>= 7.5):

R3 = Manifold(3, 'R^3')
X.<x,y,z> = R3.chart()
v = R3.vector_field()
v[:] = (x,y,z)
p = v.plot(max_range=5, scale=0.5)
p.show()

It is a little bit slow, but thanks to some optimisations, this should be improved in future versions of Sage. See the online doc for the list of all options of v.plot(). Note also that you can replace the last line by p.show(viewer='threejs').