The Prenucleolus (Prescision=15 places): 

x1 = 11.5000000000000018 
x2 = 11.5000000000000018 
x3 = 12.9999999999999964 

Excesses:

3.0000000000000000 ( )
0.0000000000000000 ( 1 2 3 )
-11.5000000000000000 ( 2 3 )
-11.5000000000000000 ( 1 3 )
-11.5000000000000018 ( 1 )
-11.5000000000000018 ( 2 )
-12.9999999999999964 ( 3 )
-23.0000000000000036 ( 1 2 )

Vector v:

3.0000000000000000 ( )
0.0000000000000000 ( 3 )
0.0000000000000000 ( 2 )
13.0000000000000000 ( 2 3 )
0.0000000000000000 ( 1 )
13.0000000000000000 ( 1 3 )
0.0000000000000000 ( 1 2 )
36.0000000000000000 ( 1 2 3 )