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Table 1

HiPS tile and pixel properties for ntile = 512.

k Nside = 2k Npix θpix ktile,512 Ntile,512 θtile,512

0 1 12 58.̊6
1 2 48 29.̊3
2 4 192 14.̊7
3 8 768 7.̊33
4 16 3072 3.̊66
5 32 12 288 1.̊83
6 64 49 152 55.́0
7 128 196 608 27.́5
8 256 786 432 13.́7
9 512 3 145 728 6.́87 0 12 58.̊6
10 1024 12 582 912 3.́44 1 48 29.̊3
11 2048 50 331 648 1.́72 2 192 14.̊7
12 4096 201 326 592 51.̋5 3 768 7.̊33
13 8192 805 306 368 25.̋8 4 3072 3.̊66
14 214 3.22 × 109 12.̋9 5 12 288 1.̊83
15 215 1.29 × 1010 6.̋44 6 49 152 55.́0
16 216 5.15 × 1010 3.̋22 7 196 608 27.́5
17 217 2.06 × 1011 1.̋61 8 786 432 13.́7
18 218 8.25 × 1011 0.̋81 9 3 145 728 6.́87
19 219 3.30 × 1012 0.̋40 10 12 582 912 3.́44
20 220 1.32 × 1013 0.̋20 11 50 331 648 1.́72
21 221 5.28 × 1013 0.̋10 12 201 326 592 51.̋5
22 222 2.11 × 1014 50.3 mas 13 805 306 368 25.̋8
23 223 8.44 × 1014 25.1 mas 14 3.22 × 109 12.̋9
24 224 3.38 × 1015 12.6 mas 15 1.29 × 1010 6.̋44
25 225 1.35 × 1016 6.29 mas 16 5.15 × 1010 3.̋22
26 226 5.40 × 1016 3.15 mas 17 2.06 × 1011 1.̋61
27 227 2.16 × 1017 1.57 mas 18 8.25 × 1011 0.̋81
28 228 8.65 × 1017 0.786 mas 19 3.30 × 1012 0.̋40
29 229 3.46 × 1018 0.393 mas 20 1.32 × 1013 0.̋20

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