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Solving Polynomial Systems Globally Invariant Under an
Action of the Symmetric Group and Application to the
Equilibria of N vortices in the Plane
Jean-Charles Faugère, Jules Svartz
Input systems:
N=5
main component
,
other component
N=6
main component
,
other component
N=7
main component
,
other component
N=8
main component
,
other component
Solutions:
Equations and Numerical Solutions of the system for N=4,5,6 and 7
(html)
or
(pdf)
Symbolic solutions (one Groebner Basis for each component)
N=6
Symbolic solutions (one Groebner Basis for each component)
N=7
Univariate polynomial of degree 521
(component 1)
Factorization of the univariate polynomial of degree 521
(component 1)
Last Update: September 2, 2015