boon -- a neurophysiology problem posted by Sjirk Boon

This system was solved in May 2020, using solveSystem in Macaulay2 v1.15 with an Intel(R) Core(TM) i5-4258U CPU at 2.40GHz.

There were 8 solutions found in 10.1037 seconds (with a Bezout bound of 1024).

Reference: P. Van Hentenryck, D. McAllester and D. Kapur: "Solving Polynomial Systems Using a Branch and Prune Approach" SIAM J. Numerical Analysis, Vol. 34, No. 2, pp 797-827, 1997.

See also: post to sci.math.num-analysis by Sjirk Boon

See also: http://homepages.math.uic.edu/~jan/Demo/boon.html

i1 : boon(QQ)

       2    2       2    2       3      3     6   3      3     6     2    
o1 = {s  + g  - 1, s  + g  - 1, g C  + g C  - -, s C  + s C  - -, s g C  +
       1    1       2    2       1 1    2 2   5   1 1    2 2   5   1 1 1  
     ------------------------------------------------------------------------
        2      7   2        2        7
     s g C  - --, s g C  + s g C  - --}
      2 2 2   10   1 1 1    2 2 2   10

o1 : List