4
 w1 + w2 - 1;
 w1*x1 + w2*x2;
 w1*x1**2 + w2*x2**2 - 2/3;
 w1*x1**3 + w2*x2**3;

TITLE : Gaussian quadrature formula with 2 knots and 2 weights over [-1,+1].

ROOT COUNTS :

total degree : 24
2-homogeneous Bezout number : 11
   with partition : {{w1 w2 }{x1 x2 }}
mixed volume : 4

REFERENCE : 

Jan Verschelde and Karin Gatermann:
`Symmetric Newton Polytopes for Solving Sparse Polynomial Systems',
Adv. Appl. Math., 16(1): 95-127, 1995.

THE GENERATING SOLUTIONS :

1 4
===========================================================
solution 1 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 2
the solution for t :
 w1 :  5.00000000000000E-01   0.00000000000000E+00
 w2 :  5.00000000000000E-01   0.00000000000000E+00
 x1 :  8.16496580927726E-01   0.00000000000000E+00
 x2 : -8.16496580927726E-01   0.00000000000000E+00
== err :  0.000E+00 = rco :  1.249E-01 = res :  0.000E+00 ==