Rational Lemniscate Viewer
Visualize the lemniscate \( |P(z)/Q(z)| = c \) and the critical values. Enter the numerator and denominator as coefficients or roots, then choose a level \( c \).
Parameters
Numerator coefficients
Numerator roots
Denominator coefficients
Denominator roots
Level c
z-plane : lemniscate \( |r(z)| = c \)
w-plane : critical values and circle \( |w| = c \)
Coefficients and roots can be real or complex (e.g. 1+2j, 1-3i).
Zeros are shown in blue,
poles in red,
critical points in green.
Critical values inside the circle \(|w|=c\) are in purple,
outside in orange.