Formulating and solving systems

• 🌐 Finding all the solutions
• 🎯 Solving a system with ZeroDimSolver
• 📍 A real point on every component (the Trott curve)
• 🎯 Critical points by rank deficiency (a null vector, not a determinant)
• 🧮 Eigenvalues by homotopy continuation
• 🔁 Parameter homotopy: solve once, re-solve many times
• 🧱 Build a system in pieces with clone and concatenate
• 🎲 Randomize an overdetermined system
• 🪢 Author your own start system: a product of linears
• 🧮 Canonical ordering, and opting out
• 🗃️ A dataframe of solutions: filtering and plotting with pandas