>: ./Instances2.out >: bertini Conic2.bertini >: alphaCertified Conic2.poly nonsingular_solutions settings > output >: sh scour.sh
•  Frequency table for 500 instances verified with alphaCertified.  

For k = 1:  
•  Random complex instance: Conic1orig.bertini.  
•  Start points for parameter homotopy: start.  
•  Code to create files for a random real instance: Instances1.c.  
•  Frequency table for 1,000,000 instances verified with alphaCertified.  


•  40,000 instances were also tested symbolically, with a perl script that ran Singular to
compute an eliminant and ran Maple to determine the number of real roots of that
eliminant.
We display the frequency table.
Here is a .tar.gz file that creates the files used
in this computation. 


For k = 0:  
•  Random complex instance: Conic0orig.bertini.  
•  Start points for parameter homotopy: start.  
•  Code to create files for a random real instance: Instances0.c.  
•  Frequency table for 15,662,000 instances verified with alphaCertified.  
