#      energy          pdf          cdf
      2.12098    0.0188079        0.053
      4.93894    0.0255504        0.125
       7.7569     0.025373       0.1965
      10.5749    0.0214694        0.257
      13.3928    0.0173885        0.306
      16.2108    0.0156141         0.35
      19.0287    0.0122429       0.3845
      21.8467    0.0111783        0.416
      24.6647   0.00940397       0.4425
      27.4826   0.00674247       0.4615
      30.3006    0.0125978        0.497
      33.1185    0.0090491       0.5225
      35.9365    0.0141947       0.5625
      38.7545     0.025373        0.634
      41.5724    0.0369061        0.738
      44.3904    0.0337123        0.833
      47.2083    0.0246632       0.9025
      50.0263    0.0154367        0.946
      52.8443   0.00940397       0.9725
      55.6622   0.00621017         0.99
      58.4802   0.00195177       0.9955
      61.2981  0.000887167        0.998
      64.1161  0.000354867        0.999
      66.9341  0.000177433       0.9995
       69.752  0.000177433            1