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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 |