```2
x**3;
x-y;

TITLE: toy example eg4 which needs two deflations

The origin is a triple root.  Two deflations are needed.
The default tolerance of 1.0E-6 to decide the numerical rank
is still okay.

THE SOLUTIONS :
3 2
===========================================================
solution 1 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
x :  1.21955515722934E-05   2.31421126284343E-06
y :  1.21955515722934E-05   2.31421126284343E-06
== err :  1.451E-05 = rco :  2.997E-10 = res :  2.638E-15 ==
solution 2 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
x : -8.10194152949320E-06   9.40455184334767E-06
y : -8.10194152949320E-06   9.40455184334767E-06
== err :  1.751E-05 = rco :  2.628E-10 = res :  2.638E-15 ==
solution 3 :
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
x : -2.72907336186682E-06  -7.81250873746073E-06
y : -2.72907336186682E-06  -7.81250873746073E-06
== err :  1.054E-05 = rco :  1.443E-10 = res :  7.817E-16 ==
```