adammaj1

// Compute the coefficients of the Jungreis function, i.e., the
// Fourier coefficients of the harmonic parametrization of the
// boundary of the Mandelbrot set, using the formulae given in
// following paper: John H. Ewing & Glenn Schober, "The area of the
// Mandelbrot set", Numer. Math. 61 (1992) 59-72 (esp. formulae (7)
// and (9)).  (Note that their numerical values in table 1 give the
// coefficients of the inverse series.)

// The coefficients betatab[m+1][0] are the b_m such that
// z + sum(b_m*z^-m) defines a biholomorphic bijection from the

adammaj1

# Square of eccentricity (but not that of the drawn ellipse):
modparm = 3/4

# The size of the drawn ellipse (semimajor and semiminor) is computed
# below.

### Mapping the inside of the disk to the inside of the ellipse:

prescale = N(modparm^(-1/4))
postscale = N(pi/(2*elliptic_kc(modparm)))