#      energy          pdf          cdf
      10.4014   0.00974887        0.005
      10.9143    0.0165731       0.0135
      11.4272    0.0526439       0.0405
      11.9401     0.108212        0.096
       12.453     0.145258       0.1705
      12.9658     0.192053        0.269
      13.4787      0.25932        0.402
      13.9916     0.256395       0.5335
      14.5045     0.247621       0.6605
      15.0174      0.17548       0.7505
      15.5302     0.149158        0.827
      16.0431     0.103338         0.88
       16.556    0.0770161       0.9195
      17.0689    0.0653174        0.953
      17.5818    0.0321713       0.9695
      18.0946    0.0233973       0.9815
      18.6075    0.0116986       0.9875
      19.1204    0.0107238        0.993
      19.6333    0.0077991        0.997
      20.1462   0.00194977        0.998
       20.659  0.000974887       0.9985
      21.1719            0       0.9985
      21.6848   0.00194977       0.9995
      22.1977            0       0.9995
      22.7106  0.000974887            1