#        cent     latitude
            0     -81.5908
            2     -59.2454
            4     -47.5577
            6      -40.711
            8      -36.239
           10     -32.9083
           12     -29.9411
           14     -28.0305
           16     -25.0098
           18     -23.0671
           20     -21.0016
           22     -20.1136
           24     -18.5969
           26     -17.6694
           28     -16.3214
           30     -15.6277
           32     -14.2248
           34     -13.1912
           36     -12.1152
           38     -11.1667
           40     -10.1586
           42     -9.09235
           44       -8.382
           46     -7.42483
           48     -6.52444
           50     -5.97318
           52     -5.17878
           54     -4.67322
           56     -3.87633
           58     -2.94416
           60     -2.46203
           62     -1.80923
           64     -1.23947
           66     -0.71905
           68   -0.0502994
           70      1.03215
           72      1.53711
           74      2.26854
           76      2.76297
           78      3.35999
           80      4.07748
           82      4.88353
           84       5.7015
           86       6.6826
           88      7.26171
           90      8.43221
           92      9.51656
           94         10.5
           96      11.4225
           98      13.7306
          100      22.8002