#        cent     latitude
            0      -81.806
            2     -59.9721
            4     -48.5469
            6     -41.6647
            8     -37.3793
           10     -34.0499
           12     -31.1083
           14     -28.9809
           16     -26.2681
           18      -23.932
           20     -22.0957
           22     -21.2374
           24     -19.6489
           26     -18.6834
           28     -17.3206
           30     -16.7321
           32     -15.1372
           34      -14.227
           36     -13.1064
           38     -12.1402
           40     -11.0871
           42     -10.1159
           44     -9.29367
           46      -8.4468
           48     -7.52791
           50     -6.90423
           52     -6.19954
           54     -5.69197
           56     -4.91916
           58     -3.99638
           60     -3.46719
           62      -2.8284
           64     -2.27874
           66      -1.6883
           68     -1.04205
           70  -0.000272458
           72     0.591172
           74      1.18256
           76      1.79837
           78      2.39659
           80      3.10616
           82      3.95359
           84      4.75376
           86      5.73128
           88       6.2978
           90      7.50793
           92      8.58708
           94      9.58403
           96      10.4702
           98       12.897
          100      22.0254