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Polynomial Systems: Quasi-Homegeneous Benchmarks

n Generic equations in n variables.

All the equations are of weighted total degree 4.

W is the list of weights

 

n = 10 n = 11 n = 12 n = 13 n = 14
W= 1 1 1 1 1 2 2 2 2 2 W= 1 1 1 1 1 1 2 2 2 2 2 W= 1 1 1 1 1 1 2 2 2 2 2 2    
W= 1 1 1 1 1 2 2 2 2 2 W= 1 1 1 1 1 1 2 2 2 2 2 W= 1 1 1 1 1 1 2 2 2 2 2 2    
W= 2 2 2 2 2 2 2 2 1 1 W= 2 2 2 2 2 2 2 2 2 1 1 W= 2 2 2 2 2 2 2 2 2 2 1 1 W= 2 2 2 2 2 2 2 2 2 2 2 1 1 W=2 2 2 2 2 2 2 2 2 2 2 2 1 1
W= 2 2 2 2 2 2 2 2 1 1 W= 2 2 2 2 2 2 2 2 2 1 1 W= 2 2 2 2 2 2 2 2 2 2 1 1    

Generic Ideals in 6 variables.

Quasi Homog W=1,1,2,2,3,3 and Degree=12,12,12,12,12,12 W=1,1,2,2,3,3 and Degree=12,12,12,12,12,18 W=1,1,2,2,3,3 and Degree=12,12,12,12,18,18 W=1,1,2,2,3,3 and Degree= 12,12,12,18,18,18

Quasi Homog + Cste

 W=1,1,2,2,3,3 and Degree=12,12,12,12,12,12 W=1,1,2,2,3,3 and Degree=12,12,12,12,12,18 W=1,1,2,2,3,3 and Degree=12,12,12,12,18,18 W=1,1,2,2,3,3 and Degree= 12,12,12,18,18,18

DLP Problem: Edwards.

 
 
Last Update: October 28, 2015