#   longitude          pdf          cdf
     -156.346  0.000271709    0.0020141
     -148.933            0    0.0020141
      -141.52  0.000135854   0.00302115
     -134.108            0   0.00302115
     -126.695            0   0.00302115
     -119.282            0   0.00302115
      -111.87  0.000135854    0.0040282
     -104.457            0    0.0040282
     -97.0441            0    0.0040282
     -89.6314            0    0.0040282
     -82.2187            0    0.0040282
      -74.806  0.000135854   0.00503525
     -67.3933            0   0.00503525
     -59.9806            0   0.00503525
     -52.5678  0.000135854    0.0060423
     -45.1551            0    0.0060423
     -37.7424            0    0.0060423
     -30.3297            0    0.0060423
      -22.917  0.000135854   0.00704935
     -15.5043  0.000407563    0.0100705
     -8.09159            0    0.0100705
    -0.678885   0.00217367    0.0261833
      6.73382   0.00502661    0.0634441
      14.1465    0.0427941     0.380665
      21.5592    0.0835505            1