[math-fun] Discrimant (physical meaning)

Log|discriminant| = Re(Log(discriminant)) is proportional to the Coulomb energy of unit charges (for energy formula appropriate for 2 dimensions) placed at the roots of the (assumed monic) polynomial. If you also want to know not merely about the absolute value, but also about the phase angle... i.e. about Im(Log(discriminant)), that's kind of stupid physically since it is not rotation invariant.... but it's sort of like the quadrupole moment of the charge configuration, but not exactly.