C     DFT OF AUTOCORRELATION OF TAPERED SERIES
C
C     NOTE THAT THIS DFT IS REAL-VALUED.  IF WE MULTIPLY
C     THE NUMBERS IN THE RIGHT-HAND COLUMN BY 0.25 (WHICH
C     IS THE SAMPLING TIME FOR THE TIME SERIES), THEN
C     THE VALUES INDEXED BY k = 0, ..., 32 ARE THE
C     DIRECT SPECTRAL ESTIMATES AT FREQUENCIES f_k = k/(64*0.25) = k/16
C     (NOTE THAT THE NYQUIST FREQUENCY IS 1/(2*0.25) = 2).
  0  1558.8076733286496
  1  1928.5939968694627
  2  2662.7021720205857
  3  3068.2107696185412
  4  2849.364381484066
  5  2235.0162373634166
  6  1565.6222415243706
  7  999.9409417335414
  8  569.6985211639648
  9  286.81515667677877
 10  135.81747250199493
 11  67.29978383651792
 12  41.27544992242854
 13  37.87024497923352
 14  36.566345009842614
 15  33.26548359968868
 16  64.29712531825766
 17  162.44279648098183
 18  289.48599409136636
 19  352.75456771256165
 20  298.3400514191275
 21  166.1855386060344
 22  48.561720180212426
 23  10.213011789107306
 24  49.688465242509174
 25  118.26877789378074
 26  163.46234071886363
 27  161.50226883318433
 28  122.33190897080325
 29  72.01711376870941
 30  31.627241911007424
 31  8.610128423079697
 32  1.5231000817749916
 33  8.610128423079697
 34  31.627241911007424
 35  72.01711376870941
 36  122.33190897080325
 37  161.50226883318433
 38  163.46234071886363
 39  118.26877789378074
 40  49.688465242509174
 41  10.213011789107306
 42  48.561720180212426
 43  166.1855386060344
 44  298.3400514191275
 45  352.75456771256165
 46  289.48599409136636
 47  162.44279648098183
 48  64.29712531825766
 49  33.26548359968868
 50  36.566345009842614
 51  37.87024497923352
 52  41.27544992242854
 53  67.29978383651792
 54  135.81747250199493
 55  286.81515667677877
 56  569.6985211639648
 57  999.9409417335414
 58  1565.6222415243706
 59  2235.0162373634166
 60  2849.364381484066
 61  3068.2107696185412
 62  2662.7021720205857
 63  1928.5939968694627