#      energy          pdf          cdf
      25.4785   0.00183244        0.007
      29.2985    0.0124344       0.0545
      33.1186    0.0231672        0.143
      36.9386    0.0204186        0.221
      40.7587    0.0195024       0.2955
      44.5787    0.0143977       0.3505
      48.3988     0.012958          0.4
      52.2188    0.0109946        0.442
      56.0389   0.00837686        0.474
      59.8589      0.01178        0.519
       63.679    0.0160993       0.5805
       67.499    0.0206804       0.6595
      71.3191    0.0230364       0.7475
      75.1391    0.0205495        0.826
      78.9591    0.0167537         0.89
      82.7792    0.0116491       0.9345
      86.5992   0.00719886        0.962
      90.4193   0.00471198         0.98
      94.2393   0.00287954        0.991
      98.0594     0.001178       0.9955
      101.879  0.000523554       0.9975
      105.699  0.000261777       0.9985
       109.52  0.000261777       0.9995
       113.34            0       0.9995
       117.16  0.000130888            1