#        cent     latitude
            0     -82.0624
            2     -62.9663
            4     -52.1925
            6     -44.5654
            8     -41.1842
           10     -37.7009
           12     -34.7387
           14     -32.5342
           16     -29.7045
           18     -27.3876
           20     -25.8486
           22     -24.3737
           24     -23.5387
           26     -22.1751
           28     -20.8549
           30     -19.6932
           32     -18.4159
           34     -17.3617
           36     -16.2879
           38     -15.0842
           40     -14.1549
           42     -13.4589
           44     -12.6833
           46     -11.8042
           48     -10.8055
           50       -10.03
           52     -9.32125
           54     -8.78582
           56     -8.19146
           58     -7.62686
           60     -6.85309
           62     -6.34378
           64     -5.74384
           66     -5.00469
           68     -4.32942
           70     -3.44133
           72     -2.83318
           74     -2.06996
           76     -1.40602
           78    -0.664154
           80     0.203015
           82     0.643229
           84      1.55333
           86      2.48322
           88      3.64401
           90      4.18951
           92       5.5292
           94      6.61158
           96       7.6074
           98      9.94622
          100      20.2352