I would like to print/show all the possible solutions of a system of 
equations, more specifically:
sage:x,y,z = var('x,y,z')
sage:eqn = 
solve([(0.5*(1/(sqrt(x^4+y^4-2*x^3*y-2*x*y^3+3*x^2*y^2-5*x^2-5*y^2+6*x*y+9)))*(4*x^3-6*x^2*y-2*y^3+6*x*y^2-10*x+6*y))==0,
 
(0.5*(1/(sqrt(x^4+y^4-2*x^3*y-2*x*y^3+3*x^2*y^2-5*x^2-5*y^2+6*x*y+9)))*(4*y^3-6*x*y^2-2*x^3+6*y*x^2-10*y+6*x))==0],x,y)
sage:print(eqn)
 results in only one of the possible solutions: 

[
[x == 0, y == 0]
]

 
I would like to show/print all the possible solutions, which should be; x1= 
0 y1= 0, x2=sqrt(2) y2=(sqrt(2), x3=-sqrt(2) y3=-sqrt(2),x4=-2/3*sqrt(2) 
y4=2/3*sqrt(2),
x5= 2/3 *sqrt(2) y5= -2/3*sqrt(2). These solutions were acquired with 
mathematica using a similar method

Thank you in advance,
Ben
  

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