EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 2 Oct 2005. For the current production of this journal, please refer to http://www.tandfonline.com/loi/uexm20.


Computational evidence Previous Next Contents

2.vii. Computational evidence

The purpose of this document is to present considerable detail about computations in support of the conjectures of Shapiro and Shapiro. The table below gives the number of instances of Conjecture 1 that are known to have been tested, as of 1 January 1999.

   An instance means a given m,p and a single choice of real parameters, s1, s2, ..., smp. This gives a specific polynomial system of Conjecture 1, which may then be checked to see if it has only real solutions. Those instances checked by Sottile are archived here. They were done on several different computers. The data m,p in the table above are each linked to a description of the computations.

Instances checked:

m,p 4,2 5,2 3,3 6,2 7,2 4,3 8,2
dm,p       14    42  42 132   429  462  1430 
Number checked  >12000  1000   550    55     3    2    1






Previous Next Contents