**Windows for the quadratic map x _{n+1} = C - x_{n}^{2}
for periods up to 25**

**By**

**Madhura Joglekar**

The link below is to a text file that has the 'window' data
for all of the 1,402,957 primary periodic windows of periods not exceeding 25,
lying in [C_{odd}, 2], for the quadratic map x_{n+1} = C - x_{n}^{2},

where C_{odd} which is approximately 1.543689 denotes the largest
parameter value before which there are no periodic windows of odd periods,
other than the period-1 window.

The 4 columns of the matrix are as follows:

First column: period
of window

Second column: saddle-node
bifurcation value of window

Third column: interior-crisis
value of window

Fourth column: C-width
of window, that is, the difference between columns 2 and 3

I used tolerance values of 10^{-34} or smaller when computing window
C-widths.

Rather than open the file below in a browser, I recommend
that you first save the link and then open it with an appropriate program. Its
size is about 140MB.