Trigonometric Interpolation

Specify the number of data points n+1,
n+1 must be factorizable as n+1 = (2**k)(3**i)(5**j).
n+1= Important: 1 <= n+1 <= 2000 !

Specify x₀ and the stepsize dx. Attention: your interpolating trigonometric sum will have [x₀,x₀+(n+1)*dx] as periodicity interval!
x= dx=

Specify your ordinate values y_i here, separated by comma or blank, successive values in one line are possible, no format prescribed.
An example for n+1=12
1,-1,3,4,5,
7,8,
0,-1,3,5,2

Repeated values may be written a num*value, e.g. 10*0.0 instead of
0,0,0,0,0,0,0,0,0,0,