#        cent     latitude
            0      -81.583
            2     -58.0571
            4     -46.2817
            6     -39.5725
            8     -35.3718
           10     -31.9558
           12     -28.8222
           14     -26.9491
           16     -24.1189
           18     -21.9125
           20     -20.0359
           22     -19.1263
           24     -17.7062
           26     -16.6287
           28     -15.3482
           30     -14.6057
           32     -13.2478
           34     -12.0877
           36     -11.1358
           38     -10.1602
           40      -9.1299
           42     -8.16366
           44     -7.38549
           46     -6.54912
           48     -5.61036
           50     -5.04704
           52     -4.26119
           54      -3.8414
           56       -3.045
           58     -2.17984
           60     -1.59619
           62     -1.05304
           64    -0.445243
           66    0.0463153
           68     0.717282
           70      1.80771
           72      2.39013
           74      3.00988
           76      3.51387
           78      4.15354
           80      4.72139
           82      5.61254
           84      6.44835
           86      7.39627
           88      7.97798
           90      9.11965
           92       10.195
           94      11.3082
           96       12.128
           98      14.3565
          100      23.4666