#        cent     latitude
            0     -81.8978
            2     -57.8554
            4     -47.1485
            6     -40.7865
            8     -36.8408
           10     -33.7468
           12     -30.7169
           14     -28.7133
           16     -25.9967
           18     -23.7116
           20     -21.7993
           22     -20.8555
           24     -19.5695
           26     -18.3688
           28     -17.1511
           30      -16.384
           32     -15.2309
           34     -13.9748
           36     -12.9705
           38     -12.0184
           40     -11.0401
           42     -10.3066
           44     -9.51939
           46     -8.59632
           48      -7.7952
           50     -6.91464
           52     -6.36299
           54     -5.98535
           56     -5.11989
           58     -4.27626
           60     -3.59591
           62     -2.94165
           64     -2.33103
           66     -1.61135
           68     -1.10017
           70    0.0147983
           72     0.681618
           74      1.36767
           76      1.89944
           78      2.62109
           80      3.36144
           82      4.13663
           84      4.99549
           86      5.97801
           88       6.7079
           90      7.77523
           92      8.63338
           94      9.77563
           96      10.7839
           98      12.9366
          100      22.1563