#      energy          pdf          cdf
      63.5159   0.00336883        0.016
      68.2654   0.00357938        0.033
      73.0148   0.00863263        0.074
      77.7642   0.00863263        0.115
      82.5136   0.00884318        0.157
       87.263    0.0117909        0.213
      92.0125    0.0101065        0.261
      96.7619    0.0130542        0.323
      101.511    0.0155808        0.397
      106.261    0.0181075        0.483
       111.01    0.0193708        0.575
       115.76    0.0155808        0.649
      120.509    0.0168442        0.729
      125.258    0.0162125        0.806
      130.008    0.0128437        0.867
      134.757    0.0105276        0.917
      139.507   0.00631656        0.947
      144.256   0.00336883        0.963
      149.006   0.00357938         0.98
      153.755   0.00210552         0.99
      158.504  0.000842208        0.994
      163.254  0.000421104        0.996
      168.003  0.000421104        0.998
      172.753            0        0.998
      177.502  0.000421104            1