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latitude   reduced     regular   latitude
number points points
------- ------- ------- ----------
1 18 512 89.462822
2 25 512 88.766951
3 36 512 88.066972
4 40 512 87.366063
5 45 512 86.664803
6 50 512 85.963372
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8 64 512 84.560261
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126 512 512 1.754383
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128 512 512 0.350877
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130 512 512 -1.052630
131 512 512 -1.754383
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133 512 512 -3.157889
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139 512 512 -7.368407
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251 50 512 -85.963372
252 45 512 -86.664803
253 40 512 -87.366063
254 36 512 -88.066972
255 25 512 -88.766951
256 18 512 -89.462822
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