#    latitude          pdf          cdf
     -80.0164  0.000984431    0.0040282
     -75.9245  0.000738323   0.00704935
     -71.8326            0   0.00704935
     -67.7407   0.00221497    0.0161128
     -63.6488   0.00123054     0.021148
     -59.5569   0.00123054    0.0261833
      -55.465   0.00246108    0.0362538
     -51.3731   0.00270719    0.0473313
     -47.2812   0.00221497    0.0563948
     -43.1893   0.00590659    0.0805639
     -39.0974   0.00590659     0.104733
     -35.0055   0.00713713     0.133938
     -30.9136   0.00787545     0.166163
     -26.8217    0.0105826     0.209466
     -22.7298    0.0177198     0.281974
     -18.6379    0.0167353     0.350453
      -14.546     0.022888     0.444109
     -10.4541    0.0268257     0.553877
     -6.36215    0.0307635     0.679758
     -2.27024    0.0265796      0.78852
      1.82166    0.0248569     0.890232
      5.91356    0.0179659     0.963746
      10.0055   0.00664491     0.990937
      14.0974   0.00147665     0.996979
      18.1893  0.000738323            1