```
2
x**2 + 4*y**2 - 4;
2*y**2 - x;

TITLE : Mickey-mouse example to illustrate homotopy continuation.

ROOT COUNTS :

total degree : 4
1-homogeneous Bezout number : 4
with partition : {x y }
generalized Bezout number : 4
based on the set structure :
{x y }{x y }
{x y }{y }
mixed volume : 4

REFERENCES :

The equations represent the intersection of a circle with a parabola.

Jan Verschelde and Ronald Cools:
"Polynomial Homotopy Continuation, A Portable Ada Software Package".
Proceedings of the 1996 Ada-Belgium Seminar, 22 November 1996,
Eurocontrol, Brussels, Belgium.

THE SOLUTIONS :

4 2
===========================================================
solution 1 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
x : -3.23606797749979E+00   0.00000000000000E+00
y :  0.00000000000000E+00  -1.27201964951407E+00
== err :  1.174E-15 = rco :  1.079E-01 = res :  0.000E+00 ==
solution 2 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
x : -3.23606797749979E+00   0.00000000000000E+00
y :  0.00000000000000E+00   1.27201964951407E+00
== err :  1.174E-15 = rco :  1.079E-01 = res :  0.000E+00 ==
solution 3 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
x :  1.23606797749979E+00   0.00000000000000E+00
y : -7.86151377757423E-01  -9.95682444457783E-60
== err :  3.476E-16 = rco :  1.998E-01 = res :  4.441E-16 ==
solution 4 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
x :  1.23606797749979E+00   0.00000000000000E+00
y :  7.86151377757423E-01   9.95682444457783E-60
== err :  3.476E-16 = rco :  1.998E-01 = res :  4.441E-16 ==
```