latitude   reduced     regular   latitude
number points points
------- ------- ------- ----------
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2 25 1024 89.382874
3 32 1024 89.032542
4 40 1024 88.681746
5 45 1024 88.330774
6 50 1024 87.979716
7 60 1024 87.628611
8 64 1024 87.277476
9 72 1024 86.926322
10 72 1024 86.575154
11 75 1024 86.223977
12 81 1024 85.872793
13 90 1024 85.521603
14 96 1024 85.170409
15 100 1024 84.819212
16 108 1024 84.468011
17 120 1024 84.116809
18 120 1024 83.765604
19 125 1024 83.414398
20 135 1024 83.063191
21 144 1024 82.711982
22 150 1024 82.360772
23 160 1024 82.009562
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26 180 1024 80.955926
27 180 1024 80.604713
28 192 1024 80.253500
29 192 1024 79.902286
30 200 1024 79.551072
31 216 1024 79.199857
32 216 1024 78.848642
33 216 1024 78.497427
34 225 1024 78.146212
35 240 1024 77.794996
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71 450 1024 65.151161
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159 900 1024 34.243884
160 900 1024 33.892665
161 900 1024 33.541445
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