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3264 conics tangent to five conics
All of them can be real.

Do It Yourself
3264 conics in a second.

Tensor decomposition and homotopy continuation
Using homotopy continuation for computing the CPD of a tensor

Tritangents
Using HomotopyContinuation.jl for computing tritangents of sextic curves

The point of maximal curvature on a surface
How to compute curvature with homotopy continuation

The number of circles that are tangent to 3 given conics
Using HomotopyContinuation.jl for a problem in enumerative geometry

Macaulay2 interface for HomotopyContinuation.jl
An interface to call HomotopyContinuation.jl from Macaulay2 is in development

Welcome!
Welcome to the new homepage for HomotopyContinuation.jl