#      energy          pdf          cdf
      3.40372     0.029509        0.005
      3.57316    0.0472144        0.013
       3.7426     0.162299       0.0405
      3.91204       0.3305       0.0965
      4.08148     0.436733       0.1705
      4.25092     0.584278       0.2695
      4.42036      0.78789        0.403
       4.5898     0.776086       0.5345
      4.75924     0.728872        0.658
      4.92868     0.548867        0.751
      5.09812     0.445585       0.8265
      5.26756     0.318697       0.8805
        5.437     0.221317        0.918
      5.60644     0.209514       0.9535
      5.77588    0.0944287       0.9695
      5.94532    0.0737724        0.982
      6.11476     0.029509        0.987
       6.2842    0.0354108        0.993
      6.45364    0.0236072        0.997
      6.62308   0.00590179        0.998
      6.79252    0.0029509       0.9985
      6.96196            0       0.9985
       7.1314   0.00590179       0.9995
      7.30084            0       0.9995
      7.47028    0.0029509            1