# Domains

var X >= -1.0e8, <= 1.0e8;
var Y >= -1.0e8, <= 1.0e8;
var Z >= -1.0e8, <= 1.0e8;

subject to

cons1 : 5*X^9 - 6*X^5*Y^2 + X*Y^4 + 2*X*Z = 0;
cons2 : - 2*X^6*Y + 2*X^2*Y^3 + 2*Y*Z = 0;
cons3 : X^2 + Y^2 = 0.265625;

# 
# Solution 1 [precision: 8.86e-11] [time: 24 ms]
# X in [0.466980011109 , 0.466980011199]
# Y in [0.218070330799 , 0.218070330835]
# Z in [-2.19345876527e-13 , +2.2042010583e-13]
# 
# Solution 2 [precision: 3.83e-06] [time: 44 ms]
# X in [0.279852798809 , 0.279856628319]
# Y in [0.432788288156 , 0.432789782413]
# Z in [-0.0141892473866 , -0.0141891334419]
# 
# Solution 3 [precision: 1.12e-16] [time: 59 ms]
# X in [0.515388203202 , 0.515388203203]
# Y in [-1.4346413749e-24 , +1.33124379833e-24]
# Z in [-0.0124455988408 , -0.0124455988407]
# 
# Solution 4 [precision: 8.86e-11] [time: 74 ms]
# X in [0.466980011109 , 0.466980011199]
# Y in [-0.218070330835 , -0.218070330799]
# Z in [-2.19347093798e-13 , +2.204209052e-13]
# 
# Solution 5 [precision: 3.83e-06] [time: 101 ms]
# X in [0.279852798809 , 0.279856628319]
# Y in [-0.432789782413 , -0.432788288156]
# Z in [-0.0141892473866 , -0.0141891334419]
# 
# Solution 6 [precision: 1.12e-16] [time: 153 ms]
# X in [-1.13635098544e-322 , +2.12448227712e-322]
# Y in [0.515388203202 , 0.515388203203]
# Z in [-4.94065645842e-324 , +9.88131291683e-324]
# 
# Solution 7 [precision: 1.12e-16] [time: 210 ms]
# X in [-1.13635098544e-322 , +2.12448227712e-322]
# Y in [-0.515388203203 , -0.515388203202]
# Z in [-4.94065645842e-324 , +9.88131291683e-324]
# 
# Solution 8 [precision: 8.86e-11] [time: 234 ms]
# X in [-0.466980011199 , -0.466980011109]
# Y in [0.218070330799 , 0.218070330835]
# Z in [-2.19341349942e-13 , +2.20414685555e-13]
# 
# Solution 9 [precision: 3.83e-06] [time: 256 ms]
# X in [-0.279856628319 , -0.279852798809]
# Y in [0.432788288156 , 0.432789782413]
# Z in [-0.0141892473866 , -0.0141891334419]
# 
# Solution 10 [precision: 1.12e-16] [time: 266 ms]
# X in [-0.515388203203 , -0.515388203202]
# Y in [-1.07274985691e-24 , +9.82276977407e-25]
# Z in [-0.0124455988408 , -0.0124455988407]
# 
# Solution 11 [precision: 8.86e-11] [time: 284 ms]
# X in [-0.466980011199 , -0.466980011109]
# Y in [-0.218070330835 , -0.218070330799]
# Z in [-2.19341273646e-13 , +2.20414438442e-13]
# 
# Solution 12 [precision: 3.83e-06] [time: 313 ms]
# X in [-0.279856628319 , -0.279852798809]
# Y in [-0.432789782413 , -0.432788288156]
# Z in [-0.0141892473866 , -0.0141891334419]
# 
# 

solve;
display X, Y, Z;