#        cent     latitude
            0     -57.1044
            2     -57.1044
            4     -57.1044
            6     -57.1044
            8     -57.1044
           10     -36.7909
           12     -36.7909
           14     -36.7909
           16     -36.7909
           18     -36.7909
           20     -33.0537
           22     -33.0537
           24     -33.0537
           26     -33.0537
           28     -29.5973
           30     -29.5973
           32     -29.5973
           34     -29.5973
           36     -29.5973
           38     -26.0865
           40     -26.0865
           42     -26.0865
           44     -26.0865
           46     -19.0838
           48     -19.0838
           50     -19.0838
           52     -19.0838
           54     -19.0838
           56     -16.4262
           58     -16.4262
           60     -16.4262
           62     -16.4262
           64      -6.3625
           66      -6.3625
           68      -6.3625
           70      -6.3625
           72      -6.3625
           74      -5.3414
           76      -5.3414
           78      -5.3414
           80      -5.3414
           82     -3.07276
           84     -3.07276
           86     -3.07276
           88     -3.07276
           90     -3.07276
           92      5.11508
           94      5.11508
           96      5.11508
           98      5.11508
          100      8.94224