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In [4]:

    
from __future__ import (division, print_function, absolute_import)



In [5]:

    
%matplotlib inline
import math
import matplotlib.pyplot as plt 
import numpy as np
import healpy as hp
import pyfits as pf
import astropy as ap
import os



In [6]:

    
#
# Nside = 16
#
nside = 16
npix = 12*(nside**2) #total number of pixels, npix
ipix = np.arange(npix) # pixel index
print("The total number of pixels is "+str(npix))
print("Pixel index i : [ x, y, z ]")
x, y, z = hp.pix2vec(nside, ipix)
for i in range(npix):
    print("Pixel %d : [ %f, %f, %f ]" % (i, x[i], y[i], z[i]))









    



The total number of pixels is 3072
Pixel index i : [ x, y, z ]
Pixel 0 : [ 0.036073, 0.036073, 0.998698 ]
Pixel 1 : [ -0.036073, 0.036073, 0.998698 ]
Pixel 2 : [ -0.036073, -0.036073, 0.998698 ]
Pixel 3 : [ 0.036073, -0.036073, 0.998698 ]
Pixel 4 : [ 0.094170, 0.039007, 0.994792 ]
Pixel 5 : [ 0.039007, 0.094170, 0.994792 ]
Pixel 6 : [ -0.039007, 0.094170, 0.994792 ]
Pixel 7 : [ -0.094170, 0.039007, 0.994792 ]
Pixel 8 : [ -0.094170, -0.039007, 0.994792 ]
Pixel 9 : [ -0.039007, -0.094170, 0.994792 ]
Pixel 10 : [ 0.039007, -0.094170, 0.994792 ]
Pixel 11 : [ 0.094170, -0.039007, 0.994792 ]
Pixel 12 : [ 0.147443, 0.039507, 0.988281 ]
Pixel 13 : [ 0.107936, 0.107936, 0.988281 ]
Pixel 14 : [ 0.039507, 0.147443, 0.988281 ]
Pixel 15 : [ -0.039507, 0.147443, 0.988281 ]
Pixel 16 : [ -0.107936, 0.107936, 0.988281 ]
Pixel 17 : [ -0.147443, 0.039507, 0.988281 ]
Pixel 18 : [ -0.147443, -0.039507, 0.988281 ]
Pixel 19 : [ -0.107936, -0.107936, 0.988281 ]
Pixel 20 : [ -0.039507, -0.147443, 0.988281 ]
Pixel 21 : [ 0.039507, -0.147443, 0.988281 ]
Pixel 22 : [ 0.107936, -0.107936, 0.988281 ]
Pixel 23 : [ 0.147443, -0.039507, 0.988281 ]
Pixel 24 : [ 0.199157, 0.039615, 0.979167 ]
Pixel 25 : [ 0.168837, 0.112813, 0.979167 ]
Pixel 26 : [ 0.112813, 0.168837, 0.979167 ]
Pixel 27 : [ 0.039615, 0.199157, 0.979167 ]
Pixel 28 : [ -0.039615, 0.199157, 0.979167 ]
Pixel 29 : [ -0.112813, 0.168837, 0.979167 ]
Pixel 30 : [ -0.168837, 0.112813, 0.979167 ]
Pixel 31 : [ -0.199157, 0.039615, 0.979167 ]
Pixel 32 : [ -0.199157, -0.039615, 0.979167 ]
Pixel 33 : [ -0.168837, -0.112813, 0.979167 ]
Pixel 34 : [ -0.112813, -0.168837, 0.979167 ]
Pixel 35 : [ -0.039615, -0.199157, 0.979167 ]
Pixel 36 : [ 0.039615, -0.199157, 0.979167 ]
Pixel 37 : [ 0.112813, -0.168837, 0.979167 ]
Pixel 38 : [ 0.168837, -0.112813, 0.979167 ]
Pixel 39 : [ 0.199157, -0.039615, 0.979167 ]
Pixel 40 : [ 0.249954, 0.039589, 0.967448 ]
Pixel 41 : [ 0.225487, 0.114891, 0.967448 ]
Pixel 42 : [ 0.178948, 0.178948, 0.967448 ]
Pixel 43 : [ 0.114891, 0.225487, 0.967448 ]
Pixel 44 : [ 0.039589, 0.249954, 0.967448 ]
Pixel 45 : [ -0.039589, 0.249954, 0.967448 ]
Pixel 46 : [ -0.114891, 0.225487, 0.967448 ]
Pixel 47 : [ -0.178948, 0.178948, 0.967448 ]
Pixel 48 : [ -0.225487, 0.114891, 0.967448 ]
Pixel 49 : [ -0.249954, 0.039589, 0.967448 ]
Pixel 50 : [ -0.249954, -0.039589, 0.967448 ]
Pixel 51 : [ -0.225487, -0.114891, 0.967448 ]
Pixel 52 : [ -0.178948, -0.178948, 0.967448 ]
Pixel 53 : [ -0.114891, -0.225487, 0.967448 ]
Pixel 54 : [ -0.039589, -0.249954, 0.967448 ]
Pixel 55 : [ 0.039589, -0.249954, 0.967448 ]
Pixel 56 : [ 0.114891, -0.225487, 0.967448 ]
Pixel 57 : [ 0.178948, -0.178948, 0.967448 ]
Pixel 58 : [ 0.225487, -0.114891, 0.967448 ]
Pixel 59 : [ 0.249954, -0.039589, 0.967448 ]
Pixel 60 : [ 0.299988, 0.039494, 0.953125 ]
Pixel 61 : [ 0.279545, 0.115791, 0.953125 ]
Pixel 62 : [ 0.240050, 0.184197, 0.953125 ]
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Pixel 2945 : [ -0.382444, -0.116013, -0.916667 ]
Pixel 2946 : [ -0.352462, -0.188395, -0.916667 ]
Pixel 2947 : [ -0.308936, -0.253537, -0.916667 ]
Pixel 2948 : [ -0.253537, -0.308936, -0.916667 ]
Pixel 2949 : [ -0.188395, -0.352462, -0.916667 ]
Pixel 2950 : [ -0.116013, -0.382444, -0.916667 ]
Pixel 2951 : [ -0.039173, -0.397728, -0.916667 ]
Pixel 2952 : [ 0.039173, -0.397728, -0.916667 ]
Pixel 2953 : [ 0.116013, -0.382444, -0.916667 ]
Pixel 2954 : [ 0.188395, -0.352462, -0.916667 ]
Pixel 2955 : [ 0.253537, -0.308936, -0.916667 ]
Pixel 2956 : [ 0.308936, -0.253537, -0.916667 ]
Pixel 2957 : [ 0.352462, -0.188395, -0.916667 ]
Pixel 2958 : [ 0.382444, -0.116013, -0.916667 ]
Pixel 2959 : [ 0.397728, -0.039173, -0.916667 ]
Pixel 2960 : [ 0.349263, 0.039353, -0.936198 ]
Pixel 2961 : [ 0.331750, 0.116084, -0.936198 ]
Pixel 2962 : [ 0.297601, 0.186995, -0.936198 ]
Pixel 2963 : [ 0.248529, 0.248529, -0.936198 ]
Pixel 2964 : [ 0.186995, 0.297601, -0.936198 ]
Pixel 2965 : [ 0.116084, 0.331750, -0.936198 ]
Pixel 2966 : [ 0.039353, 0.349263, -0.936198 ]
Pixel 2967 : [ -0.039353, 0.349263, -0.936198 ]
Pixel 2968 : [ -0.116084, 0.331750, -0.936198 ]
Pixel 2969 : [ -0.186995, 0.297601, -0.936198 ]
Pixel 2970 : [ -0.248529, 0.248529, -0.936198 ]
Pixel 2971 : [ -0.297601, 0.186995, -0.936198 ]
Pixel 2972 : [ -0.331750, 0.116084, -0.936198 ]
Pixel 2973 : [ -0.349263, 0.039353, -0.936198 ]
Pixel 2974 : [ -0.349263, -0.039353, -0.936198 ]
Pixel 2975 : [ -0.331750, -0.116084, -0.936198 ]
Pixel 2976 : [ -0.297601, -0.186995, -0.936198 ]
Pixel 2977 : [ -0.248529, -0.248529, -0.936198 ]
Pixel 2978 : [ -0.186995, -0.297601, -0.936198 ]
Pixel 2979 : [ -0.116084, -0.331750, -0.936198 ]
Pixel 2980 : [ -0.039353, -0.349263, -0.936198 ]
Pixel 2981 : [ 0.039353, -0.349263, -0.936198 ]
Pixel 2982 : [ 0.116084, -0.331750, -0.936198 ]
Pixel 2983 : [ 0.186995, -0.297601, -0.936198 ]
Pixel 2984 : [ 0.248529, -0.248529, -0.936198 ]
Pixel 2985 : [ 0.297601, -0.186995, -0.936198 ]
Pixel 2986 : [ 0.331750, -0.116084, -0.936198 ]
Pixel 2987 : [ 0.349263, -0.039353, -0.936198 ]
Pixel 2988 : [ 0.299988, 0.039494, -0.953125 ]
Pixel 2989 : [ 0.279545, 0.115791, -0.953125 ]
Pixel 2990 : [ 0.240050, 0.184197, -0.953125 ]
Pixel 2991 : [ 0.184197, 0.240050, -0.953125 ]
Pixel 2992 : [ 0.115791, 0.279545, -0.953125 ]
Pixel 2993 : [ 0.039494, 0.299988, -0.953125 ]
Pixel 2994 : [ -0.039494, 0.299988, -0.953125 ]
Pixel 2995 : [ -0.115791, 0.279545, -0.953125 ]
Pixel 2996 : [ -0.184197, 0.240050, -0.953125 ]
Pixel 2997 : [ -0.240050, 0.184197, -0.953125 ]
Pixel 2998 : [ -0.279545, 0.115791, -0.953125 ]
Pixel 2999 : [ -0.299988, 0.039494, -0.953125 ]
Pixel 3000 : [ -0.299988, -0.039494, -0.953125 ]
Pixel 3001 : [ -0.279545, -0.115791, -0.953125 ]
Pixel 3002 : [ -0.240050, -0.184197, -0.953125 ]
Pixel 3003 : [ -0.184197, -0.240050, -0.953125 ]
Pixel 3004 : [ -0.115791, -0.279545, -0.953125 ]
Pixel 3005 : [ -0.039494, -0.299988, -0.953125 ]
Pixel 3006 : [ 0.039494, -0.299988, -0.953125 ]
Pixel 3007 : [ 0.115791, -0.279545, -0.953125 ]
Pixel 3008 : [ 0.184197, -0.240050, -0.953125 ]
Pixel 3009 : [ 0.240050, -0.184197, -0.953125 ]
Pixel 3010 : [ 0.279545, -0.115791, -0.953125 ]
Pixel 3011 : [ 0.299988, -0.039494, -0.953125 ]
Pixel 3012 : [ 0.249954, 0.039589, -0.967448 ]
Pixel 3013 : [ 0.225487, 0.114891, -0.967448 ]
Pixel 3014 : [ 0.178948, 0.178948, -0.967448 ]
Pixel 3015 : [ 0.114891, 0.225487, -0.967448 ]
Pixel 3016 : [ 0.039589, 0.249954, -0.967448 ]
Pixel 3017 : [ -0.039589, 0.249954, -0.967448 ]
Pixel 3018 : [ -0.114891, 0.225487, -0.967448 ]
Pixel 3019 : [ -0.178948, 0.178948, -0.967448 ]
Pixel 3020 : [ -0.225487, 0.114891, -0.967448 ]
Pixel 3021 : [ -0.249954, 0.039589, -0.967448 ]
Pixel 3022 : [ -0.249954, -0.039589, -0.967448 ]
Pixel 3023 : [ -0.225487, -0.114891, -0.967448 ]
Pixel 3024 : [ -0.178948, -0.178948, -0.967448 ]
Pixel 3025 : [ -0.114891, -0.225487, -0.967448 ]
Pixel 3026 : [ -0.039589, -0.249954, -0.967448 ]
Pixel 3027 : [ 0.039589, -0.249954, -0.967448 ]
Pixel 3028 : [ 0.114891, -0.225487, -0.967448 ]
Pixel 3029 : [ 0.178948, -0.178948, -0.967448 ]
Pixel 3030 : [ 0.225487, -0.114891, -0.967448 ]
Pixel 3031 : [ 0.249954, -0.039589, -0.967448 ]
Pixel 3032 : [ 0.199157, 0.039615, -0.979167 ]
Pixel 3033 : [ 0.168837, 0.112813, -0.979167 ]
Pixel 3034 : [ 0.112813, 0.168837, -0.979167 ]
Pixel 3035 : [ 0.039615, 0.199157, -0.979167 ]
Pixel 3036 : [ -0.039615, 0.199157, -0.979167 ]
Pixel 3037 : [ -0.112813, 0.168837, -0.979167 ]
Pixel 3038 : [ -0.168837, 0.112813, -0.979167 ]
Pixel 3039 : [ -0.199157, 0.039615, -0.979167 ]
Pixel 3040 : [ -0.199157, -0.039615, -0.979167 ]
Pixel 3041 : [ -0.168837, -0.112813, -0.979167 ]
Pixel 3042 : [ -0.112813, -0.168837, -0.979167 ]
Pixel 3043 : [ -0.039615, -0.199157, -0.979167 ]
Pixel 3044 : [ 0.039615, -0.199157, -0.979167 ]
Pixel 3045 : [ 0.112813, -0.168837, -0.979167 ]
Pixel 3046 : [ 0.168837, -0.112813, -0.979167 ]
Pixel 3047 : [ 0.199157, -0.039615, -0.979167 ]
Pixel 3048 : [ 0.147443, 0.039507, -0.988281 ]
Pixel 3049 : [ 0.107936, 0.107936, -0.988281 ]
Pixel 3050 : [ 0.039507, 0.147443, -0.988281 ]
Pixel 3051 : [ -0.039507, 0.147443, -0.988281 ]
Pixel 3052 : [ -0.107936, 0.107936, -0.988281 ]
Pixel 3053 : [ -0.147443, 0.039507, -0.988281 ]
Pixel 3054 : [ -0.147443, -0.039507, -0.988281 ]
Pixel 3055 : [ -0.107936, -0.107936, -0.988281 ]
Pixel 3056 : [ -0.039507, -0.147443, -0.988281 ]
Pixel 3057 : [ 0.039507, -0.147443, -0.988281 ]
Pixel 3058 : [ 0.107936, -0.107936, -0.988281 ]
Pixel 3059 : [ 0.147443, -0.039507, -0.988281 ]
Pixel 3060 : [ 0.094170, 0.039007, -0.994792 ]
Pixel 3061 : [ 0.039007, 0.094170, -0.994792 ]
Pixel 3062 : [ -0.039007, 0.094170, -0.994792 ]
Pixel 3063 : [ -0.094170, 0.039007, -0.994792 ]
Pixel 3064 : [ -0.094170, -0.039007, -0.994792 ]
Pixel 3065 : [ -0.039007, -0.094170, -0.994792 ]
Pixel 3066 : [ 0.039007, -0.094170, -0.994792 ]
Pixel 3067 : [ 0.094170, -0.039007, -0.994792 ]
Pixel 3068 : [ 0.036073, 0.036073, -0.998698 ]
Pixel 3069 : [ -0.036073, 0.036073, -0.998698 ]
Pixel 3070 : [ -0.036073, -0.036073, -0.998698 ]
Pixel 3071 : [ 0.036073, -0.036073, -0.998698 ]



In [7]:

    
#
# For the same pixels, I need to know (l, b);
# (l, b) = (theta, phi), the colatitude and longitude in radians
#
#
# (l,b) = (colatitude, longitude)
#
# Latitude ---
# North pole:  90 /deg
# Equator:      0 /deg
# South pole: -90 /deg
# 
# Colatitude ---
# North pole:   0 /deg
# Equator:     90 /deg 
# South pole: 180 /deg
#
# Longitude ---
# Goes from 0 /deg to 360 /deg 
#



In [8]:

    
nside = 16
npix = 12*(nside**2) #total number of pixels, npix
ipix = np.arange(npix) # pixel index
print("The total number of pixels is "+str(npix))
print("Pixel index i : [ theta, phi] in radians")
theta, phi = hp.pix2ang(nside, ipix)
for i in range(npix):
    print("Pixel %d : [ %f, %f ]" % (i, theta[i], phi[i]))









    



The total number of pixels is 3072
Pixel index i : [ theta, phi] in radians
Pixel 0 : [ 0.051037, 0.785398 ]
Pixel 1 : [ 0.051037, 2.356194 ]
Pixel 2 : [ 0.051037, 3.926991 ]
Pixel 3 : [ 0.051037, 5.497787 ]
Pixel 4 : [ 0.102106, 0.392699 ]
Pixel 5 : [ 0.102106, 1.178097 ]
Pixel 6 : [ 0.102106, 1.963495 ]
Pixel 7 : [ 0.102106, 2.748894 ]
Pixel 8 : [ 0.102106, 3.534292 ]
Pixel 9 : [ 0.102106, 4.319690 ]
Pixel 10 : [ 0.102106, 5.105088 ]
Pixel 11 : [ 0.102106, 5.890486 ]
Pixel 12 : [ 0.153243, 0.261799 ]
Pixel 13 : [ 0.153243, 0.785398 ]
Pixel 14 : [ 0.153243, 1.308997 ]
Pixel 15 : [ 0.153243, 1.832596 ]
Pixel 16 : [ 0.153243, 2.356194 ]
Pixel 17 : [ 0.153243, 2.879793 ]
Pixel 18 : [ 0.153243, 3.403392 ]
Pixel 19 : [ 0.153243, 3.926991 ]
Pixel 20 : [ 0.153243, 4.450590 ]
Pixel 21 : [ 0.153243, 4.974188 ]
Pixel 22 : [ 0.153243, 5.497787 ]
Pixel 23 : [ 0.153243, 6.021386 ]
Pixel 24 : [ 0.204480, 0.196350 ]
Pixel 25 : [ 0.204480, 0.589049 ]
Pixel 26 : [ 0.204480, 0.981748 ]
Pixel 27 : [ 0.204480, 1.374447 ]
Pixel 28 : [ 0.204480, 1.767146 ]
Pixel 29 : [ 0.204480, 2.159845 ]
Pixel 30 : [ 0.204480, 2.552544 ]
Pixel 31 : [ 0.204480, 2.945243 ]
Pixel 32 : [ 0.204480, 3.337942 ]
Pixel 33 : [ 0.204480, 3.730641 ]
Pixel 34 : [ 0.204480, 4.123340 ]
Pixel 35 : [ 0.204480, 4.516039 ]
Pixel 36 : [ 0.204480, 4.908739 ]
Pixel 37 : [ 0.204480, 5.301438 ]
Pixel 38 : [ 0.204480, 5.694137 ]
Pixel 39 : [ 0.204480, 6.086836 ]
Pixel 40 : [ 0.255852, 0.157080 ]
Pixel 41 : [ 0.255852, 0.471239 ]
Pixel 42 : [ 0.255852, 0.785398 ]
Pixel 43 : [ 0.255852, 1.099557 ]
Pixel 44 : [ 0.255852, 1.413717 ]
Pixel 45 : [ 0.255852, 1.727876 ]
Pixel 46 : [ 0.255852, 2.042035 ]
Pixel 47 : [ 0.255852, 2.356194 ]
Pixel 48 : [ 0.255852, 2.670354 ]
Pixel 49 : [ 0.255852, 2.984513 ]
Pixel 50 : [ 0.255852, 3.298672 ]
Pixel 51 : [ 0.255852, 3.612832 ]
Pixel 52 : [ 0.255852, 3.926991 ]
Pixel 53 : [ 0.255852, 4.241150 ]
Pixel 54 : [ 0.255852, 4.555309 ]
Pixel 55 : [ 0.255852, 4.869469 ]
Pixel 56 : [ 0.255852, 5.183628 ]
Pixel 57 : [ 0.255852, 5.497787 ]
Pixel 58 : [ 0.255852, 5.811946 ]
Pixel 59 : [ 0.255852, 6.126106 ]
Pixel 60 : [ 0.307395, 0.130900 ]
Pixel 61 : [ 0.307395, 0.392699 ]
Pixel 62 : [ 0.307395, 0.654498 ]
Pixel 63 : [ 0.307395, 0.916298 ]
Pixel 64 : [ 0.307395, 1.178097 ]
Pixel 65 : [ 0.307395, 1.439897 ]
Pixel 66 : [ 0.307395, 1.701696 ]
Pixel 67 : [ 0.307395, 1.963495 ]
Pixel 68 : [ 0.307395, 2.225295 ]
Pixel 69 : [ 0.307395, 2.487094 ]
Pixel 70 : [ 0.307395, 2.748894 ]
Pixel 71 : [ 0.307395, 3.010693 ]
Pixel 72 : [ 0.307395, 3.272492 ]
Pixel 73 : [ 0.307395, 3.534292 ]
Pixel 74 : [ 0.307395, 3.796091 ]
Pixel 75 : [ 0.307395, 4.057891 ]
Pixel 76 : [ 0.307395, 4.319690 ]
Pixel 77 : [ 0.307395, 4.581489 ]
Pixel 78 : [ 0.307395, 4.843289 ]
Pixel 79 : [ 0.307395, 5.105088 ]
Pixel 80 : [ 0.307395, 5.366887 ]
Pixel 81 : [ 0.307395, 5.628687 ]
Pixel 82 : [ 0.307395, 5.890486 ]
Pixel 83 : [ 0.307395, 6.152286 ]
Pixel 84 : [ 0.359144, 0.112200 ]
Pixel 85 : [ 0.359144, 0.336599 ]
Pixel 86 : [ 0.359144, 0.560999 ]
Pixel 87 : [ 0.359144, 0.785398 ]
Pixel 88 : [ 0.359144, 1.009798 ]
Pixel 89 : [ 0.359144, 1.234197 ]
Pixel 90 : [ 0.359144, 1.458597 ]
Pixel 91 : [ 0.359144, 1.682996 ]
Pixel 92 : [ 0.359144, 1.907396 ]
Pixel 93 : [ 0.359144, 2.131795 ]
Pixel 94 : [ 0.359144, 2.356194 ]
Pixel 95 : [ 0.359144, 2.580594 ]
Pixel 96 : [ 0.359144, 2.804993 ]
Pixel 97 : [ 0.359144, 3.029393 ]
Pixel 98 : [ 0.359144, 3.253792 ]
Pixel 99 : [ 0.359144, 3.478192 ]
Pixel 100 : [ 0.359144, 3.702591 ]
Pixel 101 : [ 0.359144, 3.926991 ]
Pixel 102 : [ 0.359144, 4.151390 ]
Pixel 103 : [ 0.359144, 4.375790 ]
Pixel 104 : [ 0.359144, 4.600189 ]
Pixel 105 : [ 0.359144, 4.824589 ]
Pixel 106 : [ 0.359144, 5.048988 ]
Pixel 107 : [ 0.359144, 5.273388 ]
Pixel 108 : [ 0.359144, 5.497787 ]
Pixel 109 : [ 0.359144, 5.722187 ]
Pixel 110 : [ 0.359144, 5.946586 ]
Pixel 111 : [ 0.359144, 6.170986 ]
Pixel 112 : [ 0.411138, 0.098175 ]
Pixel 113 : [ 0.411138, 0.294524 ]
Pixel 114 : [ 0.411138, 0.490874 ]
Pixel 115 : [ 0.411138, 0.687223 ]
Pixel 116 : [ 0.411138, 0.883573 ]
Pixel 117 : [ 0.411138, 1.079922 ]
Pixel 118 : [ 0.411138, 1.276272 ]
Pixel 119 : [ 0.411138, 1.472622 ]
Pixel 120 : [ 0.411138, 1.668971 ]
Pixel 121 : [ 0.411138, 1.865321 ]
Pixel 122 : [ 0.411138, 2.061670 ]
Pixel 123 : [ 0.411138, 2.258020 ]
Pixel 124 : [ 0.411138, 2.454369 ]
Pixel 125 : [ 0.411138, 2.650719 ]
Pixel 126 : [ 0.411138, 2.847068 ]
Pixel 127 : [ 0.411138, 3.043418 ]
Pixel 128 : [ 0.411138, 3.239767 ]
Pixel 129 : [ 0.411138, 3.436117 ]
Pixel 130 : [ 0.411138, 3.632467 ]
Pixel 131 : [ 0.411138, 3.828816 ]
Pixel 132 : [ 0.411138, 4.025166 ]
Pixel 133 : [ 0.411138, 4.221515 ]
Pixel 134 : [ 0.411138, 4.417865 ]
Pixel 135 : [ 0.411138, 4.614214 ]
Pixel 136 : [ 0.411138, 4.810564 ]
Pixel 137 : [ 0.411138, 5.006913 ]
Pixel 138 : [ 0.411138, 5.203263 ]
Pixel 139 : [ 0.411138, 5.399612 ]
Pixel 140 : [ 0.411138, 5.595962 ]
Pixel 141 : [ 0.411138, 5.792311 ]
Pixel 142 : [ 0.411138, 5.988661 ]
Pixel 143 : [ 0.411138, 6.185011 ]
Pixel 144 : [ 0.463415, 0.087266 ]
Pixel 145 : [ 0.463415, 0.261799 ]
Pixel 146 : [ 0.463415, 0.436332 ]
Pixel 147 : [ 0.463415, 0.610865 ]
Pixel 148 : [ 0.463415, 0.785398 ]
Pixel 149 : [ 0.463415, 0.959931 ]
Pixel 150 : [ 0.463415, 1.134464 ]
Pixel 151 : [ 0.463415, 1.308997 ]
Pixel 152 : [ 0.463415, 1.483530 ]
Pixel 153 : [ 0.463415, 1.658063 ]
Pixel 154 : [ 0.463415, 1.832596 ]
Pixel 155 : [ 0.463415, 2.007129 ]
Pixel 156 : [ 0.463415, 2.181662 ]
Pixel 157 : [ 0.463415, 2.356194 ]
Pixel 158 : [ 0.463415, 2.530727 ]
Pixel 159 : [ 0.463415, 2.705260 ]
Pixel 160 : [ 0.463415, 2.879793 ]
Pixel 161 : [ 0.463415, 3.054326 ]
Pixel 162 : [ 0.463415, 3.228859 ]
Pixel 163 : [ 0.463415, 3.403392 ]
Pixel 164 : [ 0.463415, 3.577925 ]
Pixel 165 : [ 0.463415, 3.752458 ]
Pixel 166 : [ 0.463415, 3.926991 ]
Pixel 167 : [ 0.463415, 4.101524 ]
Pixel 168 : [ 0.463415, 4.276057 ]
Pixel 169 : [ 0.463415, 4.450590 ]
Pixel 170 : [ 0.463415, 4.625123 ]
Pixel 171 : [ 0.463415, 4.799655 ]
Pixel 172 : [ 0.463415, 4.974188 ]
Pixel 173 : [ 0.463415, 5.148721 ]
Pixel 174 : [ 0.463415, 5.323254 ]
Pixel 175 : [ 0.463415, 5.497787 ]
Pixel 176 : [ 0.463415, 5.672320 ]
Pixel 177 : [ 0.463415, 5.846853 ]
Pixel 178 : [ 0.463415, 6.021386 ]
Pixel 179 : [ 0.463415, 6.195919 ]
Pixel 180 : [ 0.516016, 0.078540 ]
Pixel 181 : [ 0.516016, 0.235619 ]
Pixel 182 : [ 0.516016, 0.392699 ]
Pixel 183 : [ 0.516016, 0.549779 ]
Pixel 184 : [ 0.516016, 0.706858 ]
Pixel 185 : [ 0.516016, 0.863938 ]
Pixel 186 : [ 0.516016, 1.021018 ]
Pixel 187 : [ 0.516016, 1.178097 ]
Pixel 188 : [ 0.516016, 1.335177 ]
Pixel 189 : [ 0.516016, 1.492257 ]
Pixel 190 : [ 0.516016, 1.649336 ]
Pixel 191 : [ 0.516016, 1.806416 ]
Pixel 192 : [ 0.516016, 1.963495 ]
Pixel 193 : [ 0.516016, 2.120575 ]
Pixel 194 : [ 0.516016, 2.277655 ]
Pixel 195 : [ 0.516016, 2.434734 ]
Pixel 196 : [ 0.516016, 2.591814 ]
Pixel 197 : [ 0.516016, 2.748894 ]
Pixel 198 : [ 0.516016, 2.905973 ]
Pixel 199 : [ 0.516016, 3.063053 ]
Pixel 200 : [ 0.516016, 3.220132 ]
Pixel 201 : [ 0.516016, 3.377212 ]
Pixel 202 : [ 0.516016, 3.534292 ]
Pixel 203 : [ 0.516016, 3.691371 ]
Pixel 204 : [ 0.516016, 3.848451 ]
Pixel 205 : [ 0.516016, 4.005531 ]
Pixel 206 : [ 0.516016, 4.162610 ]
Pixel 207 : [ 0.516016, 4.319690 ]
Pixel 208 : [ 0.516016, 4.476770 ]
Pixel 209 : [ 0.516016, 4.633849 ]
Pixel 210 : [ 0.516016, 4.790929 ]
Pixel 211 : [ 0.516016, 4.948008 ]
Pixel 212 : [ 0.516016, 5.105088 ]
Pixel 213 : [ 0.516016, 5.262168 ]
Pixel 214 : [ 0.516016, 5.419247 ]
Pixel 215 : [ 0.516016, 5.576327 ]
Pixel 216 : [ 0.516016, 5.733407 ]
Pixel 217 : [ 0.516016, 5.890486 ]
Pixel 218 : [ 0.516016, 6.047566 ]
Pixel 219 : [ 0.516016, 6.204645 ]
Pixel 220 : [ 0.568986, 0.071400 ]
Pixel 221 : [ 0.568986, 0.214199 ]
Pixel 222 : [ 0.568986, 0.356999 ]
Pixel 223 : [ 0.568986, 0.499799 ]
Pixel 224 : [ 0.568986, 0.642598 ]
Pixel 225 : [ 0.568986, 0.785398 ]
Pixel 226 : [ 0.568986, 0.928198 ]
Pixel 227 : [ 0.568986, 1.070997 ]
Pixel 228 : [ 0.568986, 1.213797 ]
Pixel 229 : [ 0.568986, 1.356597 ]
Pixel 230 : [ 0.568986, 1.499396 ]
Pixel 231 : [ 0.568986, 1.642196 ]
Pixel 232 : [ 0.568986, 1.784996 ]
Pixel 233 : [ 0.568986, 1.927795 ]
Pixel 234 : [ 0.568986, 2.070595 ]
Pixel 235 : [ 0.568986, 2.213395 ]
Pixel 236 : [ 0.568986, 2.356194 ]
Pixel 237 : [ 0.568986, 2.498994 ]
Pixel 238 : [ 0.568986, 2.641794 ]
Pixel 239 : [ 0.568986, 2.784593 ]
Pixel 240 : [ 0.568986, 2.927393 ]
Pixel 241 : [ 0.568986, 3.070193 ]
Pixel 242 : [ 0.568986, 3.212992 ]
Pixel 243 : [ 0.568986, 3.355792 ]
Pixel 244 : [ 0.568986, 3.498592 ]
Pixel 245 : [ 0.568986, 3.641391 ]
Pixel 246 : [ 0.568986, 3.784191 ]
Pixel 247 : [ 0.568986, 3.926991 ]
Pixel 248 : [ 0.568986, 4.069790 ]
Pixel 249 : [ 0.568986, 4.212590 ]
Pixel 250 : [ 0.568986, 4.355390 ]
Pixel 251 : [ 0.568986, 4.498189 ]
Pixel 252 : [ 0.568986, 4.640989 ]
Pixel 253 : [ 0.568986, 4.783789 ]
Pixel 254 : [ 0.568986, 4.926588 ]
Pixel 255 : [ 0.568986, 5.069388 ]
Pixel 256 : [ 0.568986, 5.212188 ]
Pixel 257 : [ 0.568986, 5.354987 ]
Pixel 258 : [ 0.568986, 5.497787 ]
Pixel 259 : [ 0.568986, 5.640587 ]
Pixel 260 : [ 0.568986, 5.783386 ]
Pixel 261 : [ 0.568986, 5.926186 ]
Pixel 262 : [ 0.568986, 6.068986 ]
Pixel 263 : [ 0.568986, 6.211785 ]
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Pixel 2990 : [ 2.834198, 0.654498 ]
Pixel 2991 : [ 2.834198, 0.916298 ]
Pixel 2992 : [ 2.834198, 1.178097 ]
Pixel 2993 : [ 2.834198, 1.439897 ]
Pixel 2994 : [ 2.834198, 1.701696 ]
Pixel 2995 : [ 2.834198, 1.963495 ]
Pixel 2996 : [ 2.834198, 2.225295 ]
Pixel 2997 : [ 2.834198, 2.487094 ]
Pixel 2998 : [ 2.834198, 2.748894 ]
Pixel 2999 : [ 2.834198, 3.010693 ]
Pixel 3000 : [ 2.834198, 3.272492 ]
Pixel 3001 : [ 2.834198, 3.534292 ]
Pixel 3002 : [ 2.834198, 3.796091 ]
Pixel 3003 : [ 2.834198, 4.057891 ]
Pixel 3004 : [ 2.834198, 4.319690 ]
Pixel 3005 : [ 2.834198, 4.581489 ]
Pixel 3006 : [ 2.834198, 4.843289 ]
Pixel 3007 : [ 2.834198, 5.105088 ]
Pixel 3008 : [ 2.834198, 5.366887 ]
Pixel 3009 : [ 2.834198, 5.628687 ]
Pixel 3010 : [ 2.834198, 5.890486 ]
Pixel 3011 : [ 2.834198, 6.152286 ]
Pixel 3012 : [ 2.885740, 0.157080 ]
Pixel 3013 : [ 2.885740, 0.471239 ]
Pixel 3014 : [ 2.885740, 0.785398 ]
Pixel 3015 : [ 2.885740, 1.099557 ]
Pixel 3016 : [ 2.885740, 1.413717 ]
Pixel 3017 : [ 2.885740, 1.727876 ]
Pixel 3018 : [ 2.885740, 2.042035 ]
Pixel 3019 : [ 2.885740, 2.356194 ]
Pixel 3020 : [ 2.885740, 2.670354 ]
Pixel 3021 : [ 2.885740, 2.984513 ]
Pixel 3022 : [ 2.885740, 3.298672 ]
Pixel 3023 : [ 2.885740, 3.612832 ]
Pixel 3024 : [ 2.885740, 3.926991 ]
Pixel 3025 : [ 2.885740, 4.241150 ]
Pixel 3026 : [ 2.885740, 4.555309 ]
Pixel 3027 : [ 2.885740, 4.869469 ]
Pixel 3028 : [ 2.885740, 5.183628 ]
Pixel 3029 : [ 2.885740, 5.497787 ]
Pixel 3030 : [ 2.885740, 5.811946 ]
Pixel 3031 : [ 2.885740, 6.126106 ]
Pixel 3032 : [ 2.937112, 0.196350 ]
Pixel 3033 : [ 2.937112, 0.589049 ]
Pixel 3034 : [ 2.937112, 0.981748 ]
Pixel 3035 : [ 2.937112, 1.374447 ]
Pixel 3036 : [ 2.937112, 1.767146 ]
Pixel 3037 : [ 2.937112, 2.159845 ]
Pixel 3038 : [ 2.937112, 2.552544 ]
Pixel 3039 : [ 2.937112, 2.945243 ]
Pixel 3040 : [ 2.937112, 3.337942 ]
Pixel 3041 : [ 2.937112, 3.730641 ]
Pixel 3042 : [ 2.937112, 4.123340 ]
Pixel 3043 : [ 2.937112, 4.516039 ]
Pixel 3044 : [ 2.937112, 4.908739 ]
Pixel 3045 : [ 2.937112, 5.301438 ]
Pixel 3046 : [ 2.937112, 5.694137 ]
Pixel 3047 : [ 2.937112, 6.086836 ]
Pixel 3048 : [ 2.988350, 0.261799 ]
Pixel 3049 : [ 2.988350, 0.785398 ]
Pixel 3050 : [ 2.988350, 1.308997 ]
Pixel 3051 : [ 2.988350, 1.832596 ]
Pixel 3052 : [ 2.988350, 2.356194 ]
Pixel 3053 : [ 2.988350, 2.879793 ]
Pixel 3054 : [ 2.988350, 3.403392 ]
Pixel 3055 : [ 2.988350, 3.926991 ]
Pixel 3056 : [ 2.988350, 4.450590 ]
Pixel 3057 : [ 2.988350, 4.974188 ]
Pixel 3058 : [ 2.988350, 5.497787 ]
Pixel 3059 : [ 2.988350, 6.021386 ]
Pixel 3060 : [ 3.039486, 0.392699 ]
Pixel 3061 : [ 3.039486, 1.178097 ]
Pixel 3062 : [ 3.039486, 1.963495 ]
Pixel 3063 : [ 3.039486, 2.748894 ]
Pixel 3064 : [ 3.039486, 3.534292 ]
Pixel 3065 : [ 3.039486, 4.319690 ]
Pixel 3066 : [ 3.039486, 5.105088 ]
Pixel 3067 : [ 3.039486, 5.890486 ]
Pixel 3068 : [ 3.090556, 0.785398 ]
Pixel 3069 : [ 3.090556, 2.356194 ]
Pixel 3070 : [ 3.090556, 3.926991 ]
Pixel 3071 : [ 3.090556, 5.497787 ]



In [9]:

    
nside = 16
npix = 12*(nside**2) #total number of pixels, npix
ipix = np.arange(npix) # pixel index
print("The total number of pixels is "+str(npix))
print("Pixel index i : [ theta, phi] in degrees")
theta, phi = hp.pix2ang(nside, ipix)
for i in range(npix):
    print("Pixel %d : [ %f, %f ]" % (i, np.rad2deg(theta[i]), np.rad2deg(phi[i])))









    



The total number of pixels is 3072
Pixel index i : [ theta, phi] in degrees
Pixel 0 : [ 2.924180, 45.000000 ]
Pixel 1 : [ 2.924180, 135.000000 ]
Pixel 2 : [ 2.924180, 225.000000 ]
Pixel 3 : [ 2.924180, 315.000000 ]
Pixel 4 : [ 5.850267, 22.500000 ]
Pixel 5 : [ 5.850267, 67.500000 ]
Pixel 6 : [ 5.850267, 112.500000 ]
Pixel 7 : [ 5.850267, 157.500000 ]
Pixel 8 : [ 5.850267, 202.500000 ]
Pixel 9 : [ 5.850267, 247.500000 ]
Pixel 10 : [ 5.850267, 292.500000 ]
Pixel 11 : [ 5.850267, 337.500000 ]
Pixel 12 : [ 8.780178, 15.000000 ]
Pixel 13 : [ 8.780178, 45.000000 ]
Pixel 14 : [ 8.780178, 75.000000 ]
Pixel 15 : [ 8.780178, 105.000000 ]
Pixel 16 : [ 8.780178, 135.000000 ]
Pixel 17 : [ 8.780178, 165.000000 ]
Pixel 18 : [ 8.780178, 195.000000 ]
Pixel 19 : [ 8.780178, 225.000000 ]
Pixel 20 : [ 8.780178, 255.000000 ]
Pixel 21 : [ 8.780178, 285.000000 ]
Pixel 22 : [ 8.780178, 315.000000 ]
Pixel 23 : [ 8.780178, 345.000000 ]
Pixel 24 : [ 11.715852, 11.250000 ]
Pixel 25 : [ 11.715852, 33.750000 ]
Pixel 26 : [ 11.715852, 56.250000 ]
Pixel 27 : [ 11.715852, 78.750000 ]
Pixel 28 : [ 11.715852, 101.250000 ]
Pixel 29 : [ 11.715852, 123.750000 ]
Pixel 30 : [ 11.715852, 146.250000 ]
Pixel 31 : [ 11.715852, 168.750000 ]
Pixel 32 : [ 11.715852, 191.250000 ]
Pixel 33 : [ 11.715852, 213.750000 ]
Pixel 34 : [ 11.715852, 236.250000 ]
Pixel 35 : [ 11.715852, 258.750000 ]
Pixel 36 : [ 11.715852, 281.250000 ]
Pixel 37 : [ 11.715852, 303.750000 ]
Pixel 38 : [ 11.715852, 326.250000 ]
Pixel 39 : [ 11.715852, 348.750000 ]
Pixel 40 : [ 14.659266, 9.000000 ]
Pixel 41 : [ 14.659266, 27.000000 ]
Pixel 42 : [ 14.659266, 45.000000 ]
Pixel 43 : [ 14.659266, 63.000000 ]
Pixel 44 : [ 14.659266, 81.000000 ]
Pixel 45 : [ 14.659266, 99.000000 ]
Pixel 46 : [ 14.659266, 117.000000 ]
Pixel 47 : [ 14.659266, 135.000000 ]
Pixel 48 : [ 14.659266, 153.000000 ]
Pixel 49 : [ 14.659266, 171.000000 ]
Pixel 50 : [ 14.659266, 189.000000 ]
Pixel 51 : [ 14.659266, 207.000000 ]
Pixel 52 : [ 14.659266, 225.000000 ]
Pixel 53 : [ 14.659266, 243.000000 ]
Pixel 54 : [ 14.659266, 261.000000 ]
Pixel 55 : [ 14.659266, 279.000000 ]
Pixel 56 : [ 14.659266, 297.000000 ]
Pixel 57 : [ 14.659266, 315.000000 ]
Pixel 58 : [ 14.659266, 333.000000 ]
Pixel 59 : [ 14.659266, 351.000000 ]
Pixel 60 : [ 17.612439, 7.500000 ]
Pixel 61 : [ 17.612439, 22.500000 ]
Pixel 62 : [ 17.612439, 37.500000 ]
Pixel 63 : [ 17.612439, 52.500000 ]
Pixel 64 : [ 17.612439, 67.500000 ]
Pixel 65 : [ 17.612439, 82.500000 ]
Pixel 66 : [ 17.612439, 97.500000 ]
Pixel 67 : [ 17.612439, 112.500000 ]
Pixel 68 : [ 17.612439, 127.500000 ]
Pixel 69 : [ 17.612439, 142.500000 ]
Pixel 70 : [ 17.612439, 157.500000 ]
Pixel 71 : [ 17.612439, 172.500000 ]
Pixel 72 : [ 17.612439, 187.500000 ]
Pixel 73 : [ 17.612439, 202.500000 ]
Pixel 74 : [ 17.612439, 217.500000 ]
Pixel 75 : [ 17.612439, 232.500000 ]
Pixel 76 : [ 17.612439, 247.500000 ]
Pixel 77 : [ 17.612439, 262.500000 ]
Pixel 78 : [ 17.612439, 277.500000 ]
Pixel 79 : [ 17.612439, 292.500000 ]
Pixel 80 : [ 17.612439, 307.500000 ]
Pixel 81 : [ 17.612439, 322.500000 ]
Pixel 82 : [ 17.612439, 337.500000 ]
Pixel 83 : [ 17.612439, 352.500000 ]
Pixel 84 : [ 20.577454, 6.428571 ]
Pixel 85 : [ 20.577454, 19.285714 ]
Pixel 86 : [ 20.577454, 32.142857 ]
Pixel 87 : [ 20.577454, 45.000000 ]
Pixel 88 : [ 20.577454, 57.857143 ]
Pixel 89 : [ 20.577454, 70.714286 ]
Pixel 90 : [ 20.577454, 83.571429 ]
Pixel 91 : [ 20.577454, 96.428571 ]
Pixel 92 : [ 20.577454, 109.285714 ]
Pixel 93 : [ 20.577454, 122.142857 ]
Pixel 94 : [ 20.577454, 135.000000 ]
Pixel 95 : [ 20.577454, 147.857143 ]
Pixel 96 : [ 20.577454, 160.714286 ]
Pixel 97 : [ 20.577454, 173.571429 ]
Pixel 98 : [ 20.577454, 186.428571 ]
Pixel 99 : [ 20.577454, 199.285714 ]
Pixel 100 : [ 20.577454, 212.142857 ]
Pixel 101 : [ 20.577454, 225.000000 ]
Pixel 102 : [ 20.577454, 237.857143 ]
Pixel 103 : [ 20.577454, 250.714286 ]
Pixel 104 : [ 20.577454, 263.571429 ]
Pixel 105 : [ 20.577454, 276.428571 ]
Pixel 106 : [ 20.577454, 289.285714 ]
Pixel 107 : [ 20.577454, 302.142857 ]
Pixel 108 : [ 20.577454, 315.000000 ]
Pixel 109 : [ 20.577454, 327.857143 ]
Pixel 110 : [ 20.577454, 340.714286 ]
Pixel 111 : [ 20.577454, 353.571429 ]
Pixel 112 : [ 23.556464, 5.625000 ]
Pixel 113 : [ 23.556464, 16.875000 ]
Pixel 114 : [ 23.556464, 28.125000 ]
Pixel 115 : [ 23.556464, 39.375000 ]
Pixel 116 : [ 23.556464, 50.625000 ]
Pixel 117 : [ 23.556464, 61.875000 ]
Pixel 118 : [ 23.556464, 73.125000 ]
Pixel 119 : [ 23.556464, 84.375000 ]
Pixel 120 : [ 23.556464, 95.625000 ]
Pixel 121 : [ 23.556464, 106.875000 ]
Pixel 122 : [ 23.556464, 118.125000 ]
Pixel 123 : [ 23.556464, 129.375000 ]
Pixel 124 : [ 23.556464, 140.625000 ]
Pixel 125 : [ 23.556464, 151.875000 ]
Pixel 126 : [ 23.556464, 163.125000 ]
Pixel 127 : [ 23.556464, 174.375000 ]
Pixel 128 : [ 23.556464, 185.625000 ]
Pixel 129 : [ 23.556464, 196.875000 ]
Pixel 130 : [ 23.556464, 208.125000 ]
Pixel 131 : [ 23.556464, 219.375000 ]
Pixel 132 : [ 23.556464, 230.625000 ]
Pixel 133 : [ 23.556464, 241.875000 ]
Pixel 134 : [ 23.556464, 253.125000 ]
Pixel 135 : [ 23.556464, 264.375000 ]
Pixel 136 : [ 23.556464, 275.625000 ]
Pixel 137 : [ 23.556464, 286.875000 ]
Pixel 138 : [ 23.556464, 298.125000 ]
Pixel 139 : [ 23.556464, 309.375000 ]
Pixel 140 : [ 23.556464, 320.625000 ]
Pixel 141 : [ 23.556464, 331.875000 ]
Pixel 142 : [ 23.556464, 343.125000 ]
Pixel 143 : [ 23.556464, 354.375000 ]
Pixel 144 : [ 26.551716, 5.000000 ]
Pixel 145 : [ 26.551716, 15.000000 ]
Pixel 146 : [ 26.551716, 25.000000 ]
Pixel 147 : [ 26.551716, 35.000000 ]
Pixel 148 : [ 26.551716, 45.000000 ]
Pixel 149 : [ 26.551716, 55.000000 ]
Pixel 150 : [ 26.551716, 65.000000 ]
Pixel 151 : [ 26.551716, 75.000000 ]
Pixel 152 : [ 26.551716, 85.000000 ]
Pixel 153 : [ 26.551716, 95.000000 ]
Pixel 154 : [ 26.551716, 105.000000 ]
Pixel 155 : [ 26.551716, 115.000000 ]
Pixel 156 : [ 26.551716, 125.000000 ]
Pixel 157 : [ 26.551716, 135.000000 ]
Pixel 158 : [ 26.551716, 145.000000 ]
Pixel 159 : [ 26.551716, 155.000000 ]
Pixel 160 : [ 26.551716, 165.000000 ]
Pixel 161 : [ 26.551716, 175.000000 ]
Pixel 162 : [ 26.551716, 185.000000 ]
Pixel 163 : [ 26.551716, 195.000000 ]
Pixel 164 : [ 26.551716, 205.000000 ]
Pixel 165 : [ 26.551716, 215.000000 ]
Pixel 166 : [ 26.551716, 225.000000 ]
Pixel 167 : [ 26.551716, 235.000000 ]
Pixel 168 : [ 26.551716, 245.000000 ]
Pixel 169 : [ 26.551716, 255.000000 ]
Pixel 170 : [ 26.551716, 265.000000 ]
Pixel 171 : [ 26.551716, 275.000000 ]
Pixel 172 : [ 26.551716, 285.000000 ]
Pixel 173 : [ 26.551716, 295.000000 ]
Pixel 174 : [ 26.551716, 305.000000 ]
Pixel 175 : [ 26.551716, 315.000000 ]
Pixel 176 : [ 26.551716, 325.000000 ]
Pixel 177 : [ 26.551716, 335.000000 ]
Pixel 178 : [ 26.551716, 345.000000 ]
Pixel 179 : [ 26.551716, 355.000000 ]
Pixel 180 : [ 29.565561, 4.500000 ]
Pixel 181 : [ 29.565561, 13.500000 ]
Pixel 182 : [ 29.565561, 22.500000 ]
Pixel 183 : [ 29.565561, 31.500000 ]
Pixel 184 : [ 29.565561, 40.500000 ]
Pixel 185 : [ 29.565561, 49.500000 ]
Pixel 186 : [ 29.565561, 58.500000 ]
Pixel 187 : [ 29.565561, 67.500000 ]
Pixel 188 : [ 29.565561, 76.500000 ]
Pixel 189 : [ 29.565561, 85.500000 ]
Pixel 190 : [ 29.565561, 94.500000 ]
Pixel 191 : [ 29.565561, 103.500000 ]
Pixel 192 : [ 29.565561, 112.500000 ]
Pixel 193 : [ 29.565561, 121.500000 ]
Pixel 194 : [ 29.565561, 130.500000 ]
Pixel 195 : [ 29.565561, 139.500000 ]
Pixel 196 : [ 29.565561, 148.500000 ]
Pixel 197 : [ 29.565561, 157.500000 ]
Pixel 198 : [ 29.565561, 166.500000 ]
Pixel 199 : [ 29.565561, 175.500000 ]
Pixel 200 : [ 29.565561, 184.500000 ]
Pixel 201 : [ 29.565561, 193.500000 ]
Pixel 202 : [ 29.565561, 202.500000 ]
Pixel 203 : [ 29.565561, 211.500000 ]
Pixel 204 : [ 29.565561, 220.500000 ]
Pixel 205 : [ 29.565561, 229.500000 ]
Pixel 206 : [ 29.565561, 238.500000 ]
Pixel 207 : [ 29.565561, 247.500000 ]
Pixel 208 : [ 29.565561, 256.500000 ]
Pixel 209 : [ 29.565561, 265.500000 ]
Pixel 210 : [ 29.565561, 274.500000 ]
Pixel 211 : [ 29.565561, 283.500000 ]
Pixel 212 : [ 29.565561, 292.500000 ]
Pixel 213 : [ 29.565561, 301.500000 ]
Pixel 214 : [ 29.565561, 310.500000 ]
Pixel 215 : [ 29.565561, 319.500000 ]
Pixel 216 : [ 29.565561, 328.500000 ]
Pixel 217 : [ 29.565561, 337.500000 ]
Pixel 218 : [ 29.565561, 346.500000 ]
Pixel 219 : [ 29.565561, 355.500000 ]
Pixel 220 : [ 32.600476, 4.090909 ]
Pixel 221 : [ 32.600476, 12.272727 ]
Pixel 222 : [ 32.600476, 20.454545 ]
Pixel 223 : [ 32.600476, 28.636364 ]
Pixel 224 : [ 32.600476, 36.818182 ]
Pixel 225 : [ 32.600476, 45.000000 ]
Pixel 226 : [ 32.600476, 53.181818 ]
Pixel 227 : [ 32.600476, 61.363636 ]
Pixel 228 : [ 32.600476, 69.545455 ]
Pixel 229 : [ 32.600476, 77.727273 ]
Pixel 230 : [ 32.600476, 85.909091 ]
Pixel 231 : [ 32.600476, 94.090909 ]
Pixel 232 : [ 32.600476, 102.272727 ]
Pixel 233 : [ 32.600476, 110.454545 ]
Pixel 234 : [ 32.600476, 118.636364 ]
Pixel 235 : [ 32.600476, 126.818182 ]
Pixel 236 : [ 32.600476, 135.000000 ]
Pixel 237 : [ 32.600476, 143.181818 ]
Pixel 238 : [ 32.600476, 151.363636 ]
Pixel 239 : [ 32.600476, 159.545455 ]
Pixel 240 : [ 32.600476, 167.727273 ]
Pixel 241 : [ 32.600476, 175.909091 ]
Pixel 242 : [ 32.600476, 184.090909 ]
Pixel 243 : [ 32.600476, 192.272727 ]
Pixel 244 : [ 32.600476, 200.454545 ]
Pixel 245 : [ 32.600476, 208.636364 ]
Pixel 246 : [ 32.600476, 216.818182 ]
Pixel 247 : [ 32.600476, 225.000000 ]
Pixel 248 : [ 32.600476, 233.181818 ]
Pixel 249 : [ 32.600476, 241.363636 ]
Pixel 250 : [ 32.600476, 249.545455 ]
Pixel 251 : [ 32.600476, 257.727273 ]
Pixel 252 : [ 32.600476, 265.909091 ]
Pixel 253 : [ 32.600476, 274.090909 ]
Pixel 254 : [ 32.600476, 282.272727 ]
Pixel 255 : [ 32.600476, 290.454545 ]
Pixel 256 : [ 32.600476, 298.636364 ]
Pixel 257 : [ 32.600476, 306.818182 ]
Pixel 258 : [ 32.600476, 315.000000 ]
Pixel 259 : [ 32.600476, 323.181818 ]
Pixel 260 : [ 32.600476, 331.363636 ]
Pixel 261 : [ 32.600476, 339.545455 ]
Pixel 262 : [ 32.600476, 347.727273 ]
Pixel 263 : [ 32.600476, 355.909091 ]
Pixel 264 : [ 35.659088, 3.750000 ]
Pixel 265 : [ 35.659088, 11.250000 ]
Pixel 266 : [ 35.659088, 18.750000 ]
Pixel 267 : [ 35.659088, 26.250000 ]
Pixel 268 : [ 35.659088, 33.750000 ]
Pixel 269 : [ 35.659088, 41.250000 ]
Pixel 270 : [ 35.659088, 48.750000 ]
Pixel 271 : [ 35.659088, 56.250000 ]
Pixel 272 : [ 35.659088, 63.750000 ]
Pixel 273 : [ 35.659088, 71.250000 ]
Pixel 274 : [ 35.659088, 78.750000 ]
Pixel 275 : [ 35.659088, 86.250000 ]
Pixel 276 : [ 35.659088, 93.750000 ]
Pixel 277 : [ 35.659088, 101.250000 ]
Pixel 278 : [ 35.659088, 108.750000 ]
Pixel 279 : [ 35.659088, 116.250000 ]
Pixel 280 : [ 35.659088, 123.750000 ]
Pixel 281 : [ 35.659088, 131.250000 ]
Pixel 282 : [ 35.659088, 138.750000 ]
Pixel 283 : [ 35.659088, 146.250000 ]
Pixel 284 : [ 35.659088, 153.750000 ]
Pixel 285 : [ 35.659088, 161.250000 ]
Pixel 286 : [ 35.659088, 168.750000 ]
Pixel 287 : [ 35.659088, 176.250000 ]
Pixel 288 : [ 35.659088, 183.750000 ]
Pixel 289 : [ 35.659088, 191.250000 ]
Pixel 290 : [ 35.659088, 198.750000 ]
Pixel 291 : [ 35.659088, 206.250000 ]
Pixel 292 : [ 35.659088, 213.750000 ]
Pixel 293 : [ 35.659088, 221.250000 ]
Pixel 294 : [ 35.659088, 228.750000 ]
Pixel 295 : [ 35.659088, 236.250000 ]
Pixel 296 : [ 35.659088, 243.750000 ]
Pixel 297 : [ 35.659088, 251.250000 ]
Pixel 298 : [ 35.659088, 258.750000 ]
Pixel 299 : [ 35.659088, 266.250000 ]
Pixel 300 : [ 35.659088, 273.750000 ]
Pixel 301 : [ 35.659088, 281.250000 ]
Pixel 302 : [ 35.659088, 288.750000 ]
Pixel 303 : [ 35.659088, 296.250000 ]
Pixel 304 : [ 35.659088, 303.750000 ]
Pixel 305 : [ 35.659088, 311.250000 ]
Pixel 306 : [ 35.659088, 318.750000 ]
Pixel 307 : [ 35.659088, 326.250000 ]
Pixel 308 : [ 35.659088, 333.750000 ]
Pixel 309 : [ 35.659088, 341.250000 ]
Pixel 310 : [ 35.659088, 348.750000 ]
Pixel 311 : [ 35.659088, 356.250000 ]
Pixel 312 : [ 38.744193, 3.461538 ]
Pixel 313 : [ 38.744193, 10.384615 ]
Pixel 314 : [ 38.744193, 17.307692 ]
Pixel 315 : [ 38.744193, 24.230769 ]
Pixel 316 : [ 38.744193, 31.153846 ]
Pixel 317 : [ 38.744193, 38.076923 ]
Pixel 318 : [ 38.744193, 45.000000 ]
Pixel 319 : [ 38.744193, 51.923077 ]
Pixel 320 : [ 38.744193, 58.846154 ]
Pixel 321 : [ 38.744193, 65.769231 ]
Pixel 322 : [ 38.744193, 72.692308 ]
Pixel 323 : [ 38.744193, 79.615385 ]
Pixel 324 : [ 38.744193, 86.538462 ]
Pixel 325 : [ 38.744193, 93.461538 ]
Pixel 326 : [ 38.744193, 100.384615 ]
Pixel 327 : [ 38.744193, 107.307692 ]
Pixel 328 : [ 38.744193, 114.230769 ]
Pixel 329 : [ 38.744193, 121.153846 ]
Pixel 330 : [ 38.744193, 128.076923 ]
Pixel 331 : [ 38.744193, 135.000000 ]
Pixel 332 : [ 38.744193, 141.923077 ]
Pixel 333 : [ 38.744193, 148.846154 ]
Pixel 334 : [ 38.744193, 155.769231 ]
Pixel 335 : [ 38.744193, 162.692308 ]
Pixel 336 : [ 38.744193, 169.615385 ]
Pixel 337 : [ 38.744193, 176.538462 ]
Pixel 338 : [ 38.744193, 183.461538 ]
Pixel 339 : [ 38.744193, 190.384615 ]
Pixel 340 : [ 38.744193, 197.307692 ]
Pixel 341 : [ 38.744193, 204.230769 ]
Pixel 342 : [ 38.744193, 211.153846 ]
Pixel 343 : [ 38.744193, 218.076923 ]
Pixel 344 : [ 38.744193, 225.000000 ]
Pixel 345 : [ 38.744193, 231.923077 ]
Pixel 346 : [ 38.744193, 238.846154 ]
Pixel 347 : [ 38.744193, 245.769231 ]
Pixel 348 : [ 38.744193, 252.692308 ]
Pixel 349 : [ 38.744193, 259.615385 ]
Pixel 350 : [ 38.744193, 266.538462 ]
Pixel 351 : [ 38.744193, 273.461538 ]
Pixel 352 : [ 38.744193, 280.384615 ]
Pixel 353 : [ 38.744193, 287.307692 ]
Pixel 354 : [ 38.744193, 294.230769 ]
Pixel 355 : [ 38.744193, 301.153846 ]
Pixel 356 : [ 38.744193, 308.076923 ]
Pixel 357 : [ 38.744193, 315.000000 ]
Pixel 358 : [ 38.744193, 321.923077 ]
Pixel 359 : [ 38.744193, 328.846154 ]
Pixel 360 : [ 38.744193, 335.769231 ]
Pixel 361 : [ 38.744193, 342.692308 ]
Pixel 362 : [ 38.744193, 349.615385 ]
Pixel 363 : [ 38.744193, 356.538462 ]
Pixel 364 : [ 41.858792, 3.214286 ]
Pixel 365 : [ 41.858792, 9.642857 ]
Pixel 366 : [ 41.858792, 16.071429 ]
Pixel 367 : [ 41.858792, 22.500000 ]
Pixel 368 : [ 41.858792, 28.928571 ]
Pixel 369 : [ 41.858792, 35.357143 ]
Pixel 370 : [ 41.858792, 41.785714 ]
Pixel 371 : [ 41.858792, 48.214286 ]
Pixel 372 : [ 41.858792, 54.642857 ]
Pixel 373 : [ 41.858792, 61.071429 ]
Pixel 374 : [ 41.858792, 67.500000 ]
Pixel 375 : [ 41.858792, 73.928571 ]
Pixel 376 : [ 41.858792, 80.357143 ]
Pixel 377 : [ 41.858792, 86.785714 ]
Pixel 378 : [ 41.858792, 93.214286 ]
Pixel 379 : [ 41.858792, 99.642857 ]
Pixel 380 : [ 41.858792, 106.071429 ]
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Pixel 382 : [ 41.858792, 118.928571 ]
Pixel 383 : [ 41.858792, 125.357143 ]
Pixel 384 : [ 41.858792, 131.785714 ]
Pixel 385 : [ 41.858792, 138.214286 ]
Pixel 386 : [ 41.858792, 144.642857 ]
Pixel 387 : [ 41.858792, 151.071429 ]
Pixel 388 : [ 41.858792, 157.500000 ]
Pixel 389 : [ 41.858792, 163.928571 ]
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Pixel 2740 : [ 141.255807, 225.000000 ]
Pixel 2741 : [ 141.255807, 231.923077 ]
Pixel 2742 : [ 141.255807, 238.846154 ]
Pixel 2743 : [ 141.255807, 245.769231 ]
Pixel 2744 : [ 141.255807, 252.692308 ]
Pixel 2745 : [ 141.255807, 259.615385 ]
Pixel 2746 : [ 141.255807, 266.538462 ]
Pixel 2747 : [ 141.255807, 273.461538 ]
Pixel 2748 : [ 141.255807, 280.384615 ]
Pixel 2749 : [ 141.255807, 287.307692 ]
Pixel 2750 : [ 141.255807, 294.230769 ]
Pixel 2751 : [ 141.255807, 301.153846 ]
Pixel 2752 : [ 141.255807, 308.076923 ]
Pixel 2753 : [ 141.255807, 315.000000 ]
Pixel 2754 : [ 141.255807, 321.923077 ]
Pixel 2755 : [ 141.255807, 328.846154 ]
Pixel 2756 : [ 141.255807, 335.769231 ]
Pixel 2757 : [ 141.255807, 342.692308 ]
Pixel 2758 : [ 141.255807, 349.615385 ]
Pixel 2759 : [ 141.255807, 356.538462 ]
Pixel 2760 : [ 144.340912, 3.750000 ]
Pixel 2761 : [ 144.340912, 11.250000 ]
Pixel 2762 : [ 144.340912, 18.750000 ]
Pixel 2763 : [ 144.340912, 26.250000 ]
Pixel 2764 : [ 144.340912, 33.750000 ]
Pixel 2765 : [ 144.340912, 41.250000 ]
Pixel 2766 : [ 144.340912, 48.750000 ]
Pixel 2767 : [ 144.340912, 56.250000 ]
Pixel 2768 : [ 144.340912, 63.750000 ]
Pixel 2769 : [ 144.340912, 71.250000 ]
Pixel 2770 : [ 144.340912, 78.750000 ]
Pixel 2771 : [ 144.340912, 86.250000 ]
Pixel 2772 : [ 144.340912, 93.750000 ]
Pixel 2773 : [ 144.340912, 101.250000 ]
Pixel 2774 : [ 144.340912, 108.750000 ]
Pixel 2775 : [ 144.340912, 116.250000 ]
Pixel 2776 : [ 144.340912, 123.750000 ]
Pixel 2777 : [ 144.340912, 131.250000 ]
Pixel 2778 : [ 144.340912, 138.750000 ]
Pixel 2779 : [ 144.340912, 146.250000 ]
Pixel 2780 : [ 144.340912, 153.750000 ]
Pixel 2781 : [ 144.340912, 161.250000 ]
Pixel 2782 : [ 144.340912, 168.750000 ]
Pixel 2783 : [ 144.340912, 176.250000 ]
Pixel 2784 : [ 144.340912, 183.750000 ]
Pixel 2785 : [ 144.340912, 191.250000 ]
Pixel 2786 : [ 144.340912, 198.750000 ]
Pixel 2787 : [ 144.340912, 206.250000 ]
Pixel 2788 : [ 144.340912, 213.750000 ]
Pixel 2789 : [ 144.340912, 221.250000 ]
Pixel 2790 : [ 144.340912, 228.750000 ]
Pixel 2791 : [ 144.340912, 236.250000 ]
Pixel 2792 : [ 144.340912, 243.750000 ]
Pixel 2793 : [ 144.340912, 251.250000 ]
Pixel 2794 : [ 144.340912, 258.750000 ]
Pixel 2795 : [ 144.340912, 266.250000 ]
Pixel 2796 : [ 144.340912, 273.750000 ]
Pixel 2797 : [ 144.340912, 281.250000 ]
Pixel 2798 : [ 144.340912, 288.750000 ]
Pixel 2799 : [ 144.340912, 296.250000 ]
Pixel 2800 : [ 144.340912, 303.750000 ]
Pixel 2801 : [ 144.340912, 311.250000 ]
Pixel 2802 : [ 144.340912, 318.750000 ]
Pixel 2803 : [ 144.340912, 326.250000 ]
Pixel 2804 : [ 144.340912, 333.750000 ]
Pixel 2805 : [ 144.340912, 341.250000 ]
Pixel 2806 : [ 144.340912, 348.750000 ]
Pixel 2807 : [ 144.340912, 356.250000 ]
Pixel 2808 : [ 147.399524, 4.090909 ]
Pixel 2809 : [ 147.399524, 12.272727 ]
Pixel 2810 : [ 147.399524, 20.454545 ]
Pixel 2811 : [ 147.399524, 28.636364 ]
Pixel 2812 : [ 147.399524, 36.818182 ]
Pixel 2813 : [ 147.399524, 45.000000 ]
Pixel 2814 : [ 147.399524, 53.181818 ]
Pixel 2815 : [ 147.399524, 61.363636 ]
Pixel 2816 : [ 147.399524, 69.545455 ]
Pixel 2817 : [ 147.399524, 77.727273 ]
Pixel 2818 : [ 147.399524, 85.909091 ]
Pixel 2819 : [ 147.399524, 94.090909 ]
Pixel 2820 : [ 147.399524, 102.272727 ]
Pixel 2821 : [ 147.399524, 110.454545 ]
Pixel 2822 : [ 147.399524, 118.636364 ]
Pixel 2823 : [ 147.399524, 126.818182 ]
Pixel 2824 : [ 147.399524, 135.000000 ]
Pixel 2825 : [ 147.399524, 143.181818 ]
Pixel 2826 : [ 147.399524, 151.363636 ]
Pixel 2827 : [ 147.399524, 159.545455 ]
Pixel 2828 : [ 147.399524, 167.727273 ]
Pixel 2829 : [ 147.399524, 175.909091 ]
Pixel 2830 : [ 147.399524, 184.090909 ]
Pixel 2831 : [ 147.399524, 192.272727 ]
Pixel 2832 : [ 147.399524, 200.454545 ]
Pixel 2833 : [ 147.399524, 208.636364 ]
Pixel 2834 : [ 147.399524, 216.818182 ]
Pixel 2835 : [ 147.399524, 225.000000 ]
Pixel 2836 : [ 147.399524, 233.181818 ]
Pixel 2837 : [ 147.399524, 241.363636 ]
Pixel 2838 : [ 147.399524, 249.545455 ]
Pixel 2839 : [ 147.399524, 257.727273 ]
Pixel 2840 : [ 147.399524, 265.909091 ]
Pixel 2841 : [ 147.399524, 274.090909 ]
Pixel 2842 : [ 147.399524, 282.272727 ]
Pixel 2843 : [ 147.399524, 290.454545 ]
Pixel 2844 : [ 147.399524, 298.636364 ]
Pixel 2845 : [ 147.399524, 306.818182 ]
Pixel 2846 : [ 147.399524, 315.000000 ]
Pixel 2847 : [ 147.399524, 323.181818 ]
Pixel 2848 : [ 147.399524, 331.363636 ]
Pixel 2849 : [ 147.399524, 339.545455 ]
Pixel 2850 : [ 147.399524, 347.727273 ]
Pixel 2851 : [ 147.399524, 355.909091 ]
Pixel 2852 : [ 150.434439, 4.500000 ]
Pixel 2853 : [ 150.434439, 13.500000 ]
Pixel 2854 : [ 150.434439, 22.500000 ]
Pixel 2855 : [ 150.434439, 31.500000 ]
Pixel 2856 : [ 150.434439, 40.500000 ]
Pixel 2857 : [ 150.434439, 49.500000 ]
Pixel 2858 : [ 150.434439, 58.500000 ]
Pixel 2859 : [ 150.434439, 67.500000 ]
Pixel 2860 : [ 150.434439, 76.500000 ]
Pixel 2861 : [ 150.434439, 85.500000 ]
Pixel 2862 : [ 150.434439, 94.500000 ]
Pixel 2863 : [ 150.434439, 103.500000 ]
Pixel 2864 : [ 150.434439, 112.500000 ]
Pixel 2865 : [ 150.434439, 121.500000 ]
Pixel 2866 : [ 150.434439, 130.500000 ]
Pixel 2867 : [ 150.434439, 139.500000 ]
Pixel 2868 : [ 150.434439, 148.500000 ]
Pixel 2869 : [ 150.434439, 157.500000 ]
Pixel 2870 : [ 150.434439, 166.500000 ]
Pixel 2871 : [ 150.434439, 175.500000 ]
Pixel 2872 : [ 150.434439, 184.500000 ]
Pixel 2873 : [ 150.434439, 193.500000 ]
Pixel 2874 : [ 150.434439, 202.500000 ]
Pixel 2875 : [ 150.434439, 211.500000 ]
Pixel 2876 : [ 150.434439, 220.500000 ]
Pixel 2877 : [ 150.434439, 229.500000 ]
Pixel 2878 : [ 150.434439, 238.500000 ]
Pixel 2879 : [ 150.434439, 247.500000 ]
Pixel 2880 : [ 150.434439, 256.500000 ]
Pixel 2881 : [ 150.434439, 265.500000 ]
Pixel 2882 : [ 150.434439, 274.500000 ]
Pixel 2883 : [ 150.434439, 283.500000 ]
Pixel 2884 : [ 150.434439, 292.500000 ]
Pixel 2885 : [ 150.434439, 301.500000 ]
Pixel 2886 : [ 150.434439, 310.500000 ]
Pixel 2887 : [ 150.434439, 319.500000 ]
Pixel 2888 : [ 150.434439, 328.500000 ]
Pixel 2889 : [ 150.434439, 337.500000 ]
Pixel 2890 : [ 150.434439, 346.500000 ]
Pixel 2891 : [ 150.434439, 355.500000 ]
Pixel 2892 : [ 153.448284, 5.000000 ]
Pixel 2893 : [ 153.448284, 15.000000 ]
Pixel 2894 : [ 153.448284, 25.000000 ]
Pixel 2895 : [ 153.448284, 35.000000 ]
Pixel 2896 : [ 153.448284, 45.000000 ]
Pixel 2897 : [ 153.448284, 55.000000 ]
Pixel 2898 : [ 153.448284, 65.000000 ]
Pixel 2899 : [ 153.448284, 75.000000 ]
Pixel 2900 : [ 153.448284, 85.000000 ]
Pixel 2901 : [ 153.448284, 95.000000 ]
Pixel 2902 : [ 153.448284, 105.000000 ]
Pixel 2903 : [ 153.448284, 115.000000 ]
Pixel 2904 : [ 153.448284, 125.000000 ]
Pixel 2905 : [ 153.448284, 135.000000 ]
Pixel 2906 : [ 153.448284, 145.000000 ]
Pixel 2907 : [ 153.448284, 155.000000 ]
Pixel 2908 : [ 153.448284, 165.000000 ]
Pixel 2909 : [ 153.448284, 175.000000 ]
Pixel 2910 : [ 153.448284, 185.000000 ]
Pixel 2911 : [ 153.448284, 195.000000 ]
Pixel 2912 : [ 153.448284, 205.000000 ]
Pixel 2913 : [ 153.448284, 215.000000 ]
Pixel 2914 : [ 153.448284, 225.000000 ]
Pixel 2915 : [ 153.448284, 235.000000 ]
Pixel 2916 : [ 153.448284, 245.000000 ]
Pixel 2917 : [ 153.448284, 255.000000 ]
Pixel 2918 : [ 153.448284, 265.000000 ]
Pixel 2919 : [ 153.448284, 275.000000 ]
Pixel 2920 : [ 153.448284, 285.000000 ]
Pixel 2921 : [ 153.448284, 295.000000 ]
Pixel 2922 : [ 153.448284, 305.000000 ]
Pixel 2923 : [ 153.448284, 315.000000 ]
Pixel 2924 : [ 153.448284, 325.000000 ]
Pixel 2925 : [ 153.448284, 335.000000 ]
Pixel 2926 : [ 153.448284, 345.000000 ]
Pixel 2927 : [ 153.448284, 355.000000 ]
Pixel 2928 : [ 156.443536, 5.625000 ]
Pixel 2929 : [ 156.443536, 16.875000 ]
Pixel 2930 : [ 156.443536, 28.125000 ]
Pixel 2931 : [ 156.443536, 39.375000 ]
Pixel 2932 : [ 156.443536, 50.625000 ]
Pixel 2933 : [ 156.443536, 61.875000 ]
Pixel 2934 : [ 156.443536, 73.125000 ]
Pixel 2935 : [ 156.443536, 84.375000 ]
Pixel 2936 : [ 156.443536, 95.625000 ]
Pixel 2937 : [ 156.443536, 106.875000 ]
Pixel 2938 : [ 156.443536, 118.125000 ]
Pixel 2939 : [ 156.443536, 129.375000 ]
Pixel 2940 : [ 156.443536, 140.625000 ]
Pixel 2941 : [ 156.443536, 151.875000 ]
Pixel 2942 : [ 156.443536, 163.125000 ]
Pixel 2943 : [ 156.443536, 174.375000 ]
Pixel 2944 : [ 156.443536, 185.625000 ]
Pixel 2945 : [ 156.443536, 196.875000 ]
Pixel 2946 : [ 156.443536, 208.125000 ]
Pixel 2947 : [ 156.443536, 219.375000 ]
Pixel 2948 : [ 156.443536, 230.625000 ]
Pixel 2949 : [ 156.443536, 241.875000 ]
Pixel 2950 : [ 156.443536, 253.125000 ]
Pixel 2951 : [ 156.443536, 264.375000 ]
Pixel 2952 : [ 156.443536, 275.625000 ]
Pixel 2953 : [ 156.443536, 286.875000 ]
Pixel 2954 : [ 156.443536, 298.125000 ]
Pixel 2955 : [ 156.443536, 309.375000 ]
Pixel 2956 : [ 156.443536, 320.625000 ]
Pixel 2957 : [ 156.443536, 331.875000 ]
Pixel 2958 : [ 156.443536, 343.125000 ]
Pixel 2959 : [ 156.443536, 354.375000 ]
Pixel 2960 : [ 159.422546, 6.428571 ]
Pixel 2961 : [ 159.422546, 19.285714 ]
Pixel 2962 : [ 159.422546, 32.142857 ]
Pixel 2963 : [ 159.422546, 45.000000 ]
Pixel 2964 : [ 159.422546, 57.857143 ]
Pixel 2965 : [ 159.422546, 70.714286 ]
Pixel 2966 : [ 159.422546, 83.571429 ]
Pixel 2967 : [ 159.422546, 96.428571 ]
Pixel 2968 : [ 159.422546, 109.285714 ]
Pixel 2969 : [ 159.422546, 122.142857 ]
Pixel 2970 : [ 159.422546, 135.000000 ]
Pixel 2971 : [ 159.422546, 147.857143 ]
Pixel 2972 : [ 159.422546, 160.714286 ]
Pixel 2973 : [ 159.422546, 173.571429 ]
Pixel 2974 : [ 159.422546, 186.428571 ]
Pixel 2975 : [ 159.422546, 199.285714 ]
Pixel 2976 : [ 159.422546, 212.142857 ]
Pixel 2977 : [ 159.422546, 225.000000 ]
Pixel 2978 : [ 159.422546, 237.857143 ]
Pixel 2979 : [ 159.422546, 250.714286 ]
Pixel 2980 : [ 159.422546, 263.571429 ]
Pixel 2981 : [ 159.422546, 276.428571 ]
Pixel 2982 : [ 159.422546, 289.285714 ]
Pixel 2983 : [ 159.422546, 302.142857 ]
Pixel 2984 : [ 159.422546, 315.000000 ]
Pixel 2985 : [ 159.422546, 327.857143 ]
Pixel 2986 : [ 159.422546, 340.714286 ]
Pixel 2987 : [ 159.422546, 353.571429 ]
Pixel 2988 : [ 162.387561, 7.500000 ]
Pixel 2989 : [ 162.387561, 22.500000 ]
Pixel 2990 : [ 162.387561, 37.500000 ]
Pixel 2991 : [ 162.387561, 52.500000 ]
Pixel 2992 : [ 162.387561, 67.500000 ]
Pixel 2993 : [ 162.387561, 82.500000 ]
Pixel 2994 : [ 162.387561, 97.500000 ]
Pixel 2995 : [ 162.387561, 112.500000 ]
Pixel 2996 : [ 162.387561, 127.500000 ]
Pixel 2997 : [ 162.387561, 142.500000 ]
Pixel 2998 : [ 162.387561, 157.500000 ]
Pixel 2999 : [ 162.387561, 172.500000 ]
Pixel 3000 : [ 162.387561, 187.500000 ]
Pixel 3001 : [ 162.387561, 202.500000 ]
Pixel 3002 : [ 162.387561, 217.500000 ]
Pixel 3003 : [ 162.387561, 232.500000 ]
Pixel 3004 : [ 162.387561, 247.500000 ]
Pixel 3005 : [ 162.387561, 262.500000 ]
Pixel 3006 : [ 162.387561, 277.500000 ]
Pixel 3007 : [ 162.387561, 292.500000 ]
Pixel 3008 : [ 162.387561, 307.500000 ]
Pixel 3009 : [ 162.387561, 322.500000 ]
Pixel 3010 : [ 162.387561, 337.500000 ]
Pixel 3011 : [ 162.387561, 352.500000 ]
Pixel 3012 : [ 165.340734, 9.000000 ]
Pixel 3013 : [ 165.340734, 27.000000 ]
Pixel 3014 : [ 165.340734, 45.000000 ]
Pixel 3015 : [ 165.340734, 63.000000 ]
Pixel 3016 : [ 165.340734, 81.000000 ]
Pixel 3017 : [ 165.340734, 99.000000 ]
Pixel 3018 : [ 165.340734, 117.000000 ]
Pixel 3019 : [ 165.340734, 135.000000 ]
Pixel 3020 : [ 165.340734, 153.000000 ]
Pixel 3021 : [ 165.340734, 171.000000 ]
Pixel 3022 : [ 165.340734, 189.000000 ]
Pixel 3023 : [ 165.340734, 207.000000 ]
Pixel 3024 : [ 165.340734, 225.000000 ]
Pixel 3025 : [ 165.340734, 243.000000 ]
Pixel 3026 : [ 165.340734, 261.000000 ]
Pixel 3027 : [ 165.340734, 279.000000 ]
Pixel 3028 : [ 165.340734, 297.000000 ]
Pixel 3029 : [ 165.340734, 315.000000 ]
Pixel 3030 : [ 165.340734, 333.000000 ]
Pixel 3031 : [ 165.340734, 351.000000 ]
Pixel 3032 : [ 168.284148, 11.250000 ]
Pixel 3033 : [ 168.284148, 33.750000 ]
Pixel 3034 : [ 168.284148, 56.250000 ]
Pixel 3035 : [ 168.284148, 78.750000 ]
Pixel 3036 : [ 168.284148, 101.250000 ]
Pixel 3037 : [ 168.284148, 123.750000 ]
Pixel 3038 : [ 168.284148, 146.250000 ]
Pixel 3039 : [ 168.284148, 168.750000 ]
Pixel 3040 : [ 168.284148, 191.250000 ]
Pixel 3041 : [ 168.284148, 213.750000 ]
Pixel 3042 : [ 168.284148, 236.250000 ]
Pixel 3043 : [ 168.284148, 258.750000 ]
Pixel 3044 : [ 168.284148, 281.250000 ]
Pixel 3045 : [ 168.284148, 303.750000 ]
Pixel 3046 : [ 168.284148, 326.250000 ]
Pixel 3047 : [ 168.284148, 348.750000 ]
Pixel 3048 : [ 171.219822, 15.000000 ]
Pixel 3049 : [ 171.219822, 45.000000 ]
Pixel 3050 : [ 171.219822, 75.000000 ]
Pixel 3051 : [ 171.219822, 105.000000 ]
Pixel 3052 : [ 171.219822, 135.000000 ]
Pixel 3053 : [ 171.219822, 165.000000 ]
Pixel 3054 : [ 171.219822, 195.000000 ]
Pixel 3055 : [ 171.219822, 225.000000 ]
Pixel 3056 : [ 171.219822, 255.000000 ]
Pixel 3057 : [ 171.219822, 285.000000 ]
Pixel 3058 : [ 171.219822, 315.000000 ]
Pixel 3059 : [ 171.219822, 345.000000 ]
Pixel 3060 : [ 174.149733, 22.500000 ]
Pixel 3061 : [ 174.149733, 67.500000 ]
Pixel 3062 : [ 174.149733, 112.500000 ]
Pixel 3063 : [ 174.149733, 157.500000 ]
Pixel 3064 : [ 174.149733, 202.500000 ]
Pixel 3065 : [ 174.149733, 247.500000 ]
Pixel 3066 : [ 174.149733, 292.500000 ]
Pixel 3067 : [ 174.149733, 337.500000 ]
Pixel 3068 : [ 177.075820, 45.000000 ]
Pixel 3069 : [ 177.075820, 135.000000 ]
Pixel 3070 : [ 177.075820, 225.000000 ]
Pixel 3071 : [ 177.075820, 315.000000 ]



In [10]:

    
patch_ind = np.array([1057, 1120, 1121, 1185]) 

for i in patch_ind:
    print("Pixel %d : [ %f, %f ]" % (i, np.rad2deg(theta[i]), np.rad2deg(phi[i])))
print("*******")
for i in patch_ind:
    print("Pixel %d : [ %f, %f, %f ]" % (i, x[i], y[i], z[i]))









    



Pixel 1057 : [ 73.042237, 5.625000 ]
Pixel 1120 : [ 75.522488, 2.812500 ]
Pixel 1121 : [ 75.522488, 8.437500 ]
Pixel 1185 : [ 77.975301, 5.625000 ]
*******
Pixel 1057 : [ 0.951914, 0.093755, 0.291667 ]
Pixel 1120 : [ 0.967080, 0.047510, 0.250000 ]
Pixel 1121 : [ 0.957766, 0.142071, 0.250000 ]
Pixel 1185 : [ 0.973348, 0.095866, 0.208333 ]



In [11]:

    
# Patch 2, Nov. 20

patch_ind = np.array([484, 548, 549, 612]) 

for i in patch_ind:
    print("Pixel %d : [ %f, %f ]" % (i, np.rad2deg(theta[i]), np.rad2deg(phi[i])))
print("*******")
for i in patch_ind:
    print("Pixel %d : [ %f, %f, %f ]" % (i, x[i], y[i], z[i]))
    
# [[0.673794, 0.721203, 0.688450, 0.734250], [0.318681, 0.298732, 0.367984, 0.347274], [0.666667, 0.625000, 0.625000, 0.583333]]









    



Pixel 484 : [ 48.189685, 25.312500 ]
Pixel 548 : [ 51.317813, 22.500000 ]
Pixel 549 : [ 51.317813, 28.125000 ]
Pixel 612 : [ 54.314665, 25.312500 ]
*******
Pixel 484 : [ 0.673794, 0.318681, 0.666667 ]
Pixel 548 : [ 0.721203, 0.298732, 0.625000 ]
Pixel 549 : [ 0.688450, 0.367984, 0.625000 ]
Pixel 612 : [ 0.734250, 0.347274, 0.583333 ]



In [12]:

    
# Patch 3, Nov. 20

patch_ind = np.array([748, 812, 813, 876]) 

for i in patch_ind:
    print("Pixel %d : [ %f, %f ]" % (i, np.rad2deg(theta[i]), np.rad2deg(phi[i])))
print("*******")
for i in patch_ind:
    print("Pixel %d : [ %f, %f, %f ]" % (i, x[i], y[i], z[i]))
    
#
# [[0.291755, 0.340122, 0.257999, 0.306253], [0.815401, 0.821126, 0.850510, 0.855919], [0.500000, 0.458333, 0.458333, 0.416667]]
#









    



Pixel 748 : [ 60.000000, 70.312500 ]
Pixel 812 : [ 62.720387, 67.500000 ]
Pixel 813 : [ 62.720387, 73.125000 ]
Pixel 876 : [ 65.375682, 70.312500 ]
*******
Pixel 748 : [ 0.291755, 0.815401, 0.500000 ]
Pixel 812 : [ 0.340122, 0.821126, 0.458333 ]
Pixel 813 : [ 0.257999, 0.850510, 0.458333 ]
Pixel 876 : [ 0.306253, 0.855919, 0.416667 ]



In [13]:

    
# Patch 4, Nov. 20

patch_ind = np.array([2297, 2361, 2362, 2425]) 

for i in patch_ind:
    print("Pixel %d : [ %f, %f ]" % (i, np.rad2deg(theta[i]), np.rad2deg(phi[i])))
print("*******")
for i in patch_ind:
    print("Pixel %d : [ %f, %f, %f ]" % (i, x[i], y[i], z[i]))
    
#
# [[-0.695598, -0.649787, -0.698928, -0.652392], [0.515891, 0.533267, 0.467009, 0.483847], [-0.500000, -0.541667, -0.541667, -0.583333]]
#









    



Pixel 2297 : [ 120.000000, 143.437500 ]
Pixel 2361 : [ 122.797168, 140.625000 ]
Pixel 2362 : [ 122.797168, 146.250000 ]
Pixel 2425 : [ 125.685335, 143.437500 ]
*******
Pixel 2297 : [ -0.695598, 0.515891, -0.500000 ]
Pixel 2361 : [ -0.649787, 0.533267, -0.541667 ]
Pixel 2362 : [ -0.698928, 0.467009, -0.541667 ]
Pixel 2425 : [ -0.652392, 0.483847, -0.583333 ]



In [14]:

    
#
# We define this pixel patch
#
#HIDL> query_polygon, 512L, [[0.612372, 0.783917, 0.523797, 0.697217], [0.612372, 0.523797, 0.783917, 0.697217], [0.500000, 0.333333, 0.333333, 0.166667]], listpix3, nlist3
#
# Note: We have to put into IDL format for 3D vectors, i.e. 
#HDIL> query_polygon, 512L, [[0.951914, 0.967080, 0.957766, 0.973348], [0.093755, 0.047510, 0.142071, 0.095866], [0.291667,0.250000,0.250000,0.208333]]



In [15]:

    
#
# Now, save IDL .sav file of listpix3
# Import into Python and run
#



In [16]:

    
# http://docs.scipy.org/doc/scipy-0.16.0/reference/generated/scipy.io.readsav.html
# http://www.astrobetter.com/blog/2009/11/24/read-idl-save-files-into-python/



In [17]:

    
import scipy



In [18]:

    
#
# scipy.io.readsav
#
# scipy.io.readsav(file_name, idict=None, python_dict=False, uncompressed_file_name=None, verbose=False)[source]
#
# Read an IDL .sav file
#
#



In [19]:

    
cd ~/Downloads









    



/Users/evanbiederstedt/Downloads



In [20]:

    
import scipy.io



In [21]:

    
patch_file = scipy.io.readsav('patch_listpix5.sav')



In [22]:

    
type(patch_file)









    Out[22]:





scipy.io.idl.AttrDict



In [23]:

    
arr3 = patch_file['listpix5']



In [24]:

    
type(arr3)









    Out[24]:





numpy.ndarray



In [25]:

    
print(arr3)









    



[1115168 1117215 1117216 1119263 1119264 1119265 1121310 1121311 1121312
 1121313 1123358 1123359 1123360 1123361 1123362 1125405 1125406 1125407
 1125408 1125409 1125410 1127453 1127454 1127455 1127456 1127457 1127458
 1127459 1129500 1129501 1129502 1129503 1129504 1129505 1129506 1129507
 1131548 1131549 1131550 1131551 1131552 1131553 1131554 1131555 1131556
 1133595 1133596 1133597 1133598 1133599 1133600 1133601 1133602 1133603
 1133604 1135643 1135644 1135645 1135646 1135647 1135648 1135649 1135650
 1135651 1135652 1135653 1137690 1137691 1137692 1137693 1137694 1137695
 1137696 1137697 1137698 1137699 1137700 1137701 1139738 1139739 1139740
 1139741 1139742 1139743 1139744 1139745 1139746 1139747 1139748 1139749
 1139750 1141785 1141786 1141787 1141788 1141789 1141790 1141791 1141792
 1141793 1141794 1141795 1141796 1141797 1141798 1143833 1143834 1143835
 1143836 1143837 1143838 1143839 1143840 1143841 1143842 1143843 1143844
 1143845 1143846 1143847 1145880 1145881 1145882 1145883 1145884 1145885
 1145886 1145887 1145888 1145889 1145890 1145891 1145892 1145893 1145894
 1145895 1147928 1147929 1147930 1147931 1147932 1147933 1147934 1147935
 1147936 1147937 1147938 1147939 1147940 1147941 1147942 1147943 1147944
 1149975 1149976 1149977 1149978 1149979 1149980 1149981 1149982 1149983
 1149984 1149985 1149986 1149987 1149988 1149989 1149990 1149991 1149992
 1152023 1152024 1152025 1152026 1152027 1152028 1152029 1152030 1152031
 1152032 1152033 1152034 1152035 1152036 1152037 1152038 1152039 1152040
 1152041 1154070 1154071 1154072 1154073 1154074 1154075 1154076 1154077
 1154078 1154079 1154080 1154081 1154082 1154083 1154084 1154085 1154086
 1154087 1154088 1154089 1156118 1156119 1156120 1156121 1156122 1156123
 1156124 1156125 1156126 1156127 1156128 1156129 1156130 1156131 1156132
 1156133 1156134 1156135 1156136 1156137 1156138 1158165 1158166 1158167
 1158168 1158169 1158170 1158171 1158172 1158173 1158174 1158175 1158176
 1158177 1158178 1158179 1158180 1158181 1158182 1158183 1158184 1158185
 1158186 1160213 1160214 1160215 1160216 1160217 1160218 1160219 1160220
 1160221 1160222 1160223 1160224 1160225 1160226 1160227 1160228 1160229
 1160230 1160231 1160232 1160233 1160234 1160235 1162260 1162261 1162262
 1162263 1162264 1162265 1162266 1162267 1162268 1162269 1162270 1162271
 1162272 1162273 1162274 1162275 1162276 1162277 1162278 1162279 1162280
 1162281 1162282 1162283 1164308 1164309 1164310 1164311 1164312 1164313
 1164314 1164315 1164316 1164317 1164318 1164319 1164320 1164321 1164322
 1164323 1164324 1164325 1164326 1164327 1164328 1164329 1164330 1164331
 1164332 1166355 1166356 1166357 1166358 1166359 1166360 1166361 1166362
 1166363 1166364 1166365 1166366 1166367 1166368 1166369 1166370 1166371
 1166372 1166373 1166374 1166375 1166376 1166377 1166378 1166379 1166380
 1168403 1168404 1168405 1168406 1168407 1168408 1168409 1168410 1168411
 1168412 1168413 1168414 1168415 1168416 1168417 1168418 1168419 1168420
 1168421 1168422 1168423 1168424 1168425 1168426 1168427 1168428 1168429
 1170450 1170451 1170452 1170453 1170454 1170455 1170456 1170457 1170458
 1170459 1170460 1170461 1170462 1170463 1170464 1170465 1170466 1170467
 1170468 1170469 1170470 1170471 1170472 1170473 1170474 1170475 1170476
 1170477 1172498 1172499 1172500 1172501 1172502 1172503 1172504 1172505
 1172506 1172507 1172508 1172509 1172510 1172511 1172512 1172513 1172514
 1172515 1172516 1172517 1172518 1172519 1172520 1172521 1172522 1172523
 1172524 1172525 1172526 1174545 1174546 1174547 1174548 1174549 1174550
 1174551 1174552 1174553 1174554 1174555 1174556 1174557 1174558 1174559
 1174560 1174561 1174562 1174563 1174564 1174565 1174566 1174567 1174568
 1174569 1174570 1174571 1174572 1174573 1174574 1176593 1176594 1176595
 1176596 1176597 1176598 1176599 1176600 1176601 1176602 1176603 1176604
 1176605 1176606 1176607 1176608 1176609 1176610 1176611 1176612 1176613
 1176614 1176615 1176616 1176617 1176618 1176619 1176620 1176621 1176622
 1176623 1178656 1178657 1178658 1178659 1178660 1178661 1178662 1178663
 1178664 1178665 1178666 1178667 1178668 1178669 1178670 1178671 1180704
 1180705 1180706 1180707 1180708 1180709 1180710 1180711 1180712 1180713
 1180714 1180715 1180716 1180717 1180718 1180719 1182752 1182753 1182754
 1182755 1182756 1182757 1182758 1182759 1182760 1182761 1182762 1182763
 1182764 1182765 1182766 1184800 1184801 1184802 1184803 1184804 1184805
 1184806 1184807 1184808 1184809 1184810 1184811 1184812 1184813 1184814
 1186848 1186849 1186850 1186851 1186852 1186853 1186854 1186855 1186856
 1186857 1186858 1186859 1186860 1186861 1188896 1188897 1188898 1188899
 1188900 1188901 1188902 1188903 1188904 1188905 1188906 1188907 1188908
 1188909 1190944 1190945 1190946 1190947 1190948 1190949 1190950 1190951
 1190952 1190953 1190954 1190955 1190956 1192992 1192993 1192994 1192995
 1192996 1192997 1192998 1192999 1193000 1193001 1193002 1193003 1193004
 1195040 1195041 1195042 1195043 1195044 1195045 1195046 1195047 1195048
 1195049 1195050 1195051 1197088 1197089 1197090 1197091 1197092 1197093
 1197094 1197095 1197096 1197097 1197098 1197099 1199136 1199137 1199138
 1199139 1199140 1199141 1199142 1199143 1199144 1199145 1199146 1201184
 1201185 1201186 1201187 1201188 1201189 1201190 1201191 1201192 1201193
 1201194 1203232 1203233 1203234 1203235 1203236 1203237 1203238 1203239
 1203240 1203241 1205280 1205281 1205282 1205283 1205284 1205285 1205286
 1205287 1205288 1205289 1207328 1207329 1207330 1207331 1207332 1207333
 1207334 1207335 1207336 1209376 1209377 1209378 1209379 1209380 1209381
 1209382 1209383 1209384 1211424 1211425 1211426 1211427 1211428 1211429
 1211430 1211431 1213472 1213473 1213474 1213475 1213476 1213477 1213478
 1213479 1215520 1215521 1215522 1215523 1215524 1215525 1215526 1217568
 1217569 1217570 1217571 1217572 1217573 1217574 1219616 1219617 1219618
 1219619 1219620 1219621 1221664 1221665 1221666 1221667 1221668 1221669
 1223712 1223713 1223714 1223715 1223716 1225760 1225761 1225762 1225763
 1225764 1227808 1227809 1227810 1227811 1229856 1229857 1229858 1229859
 1231904 1231905 1231906 1233952 1233953 1233954 1236000 1236001 1238048
 1238049 1240096 1242144]



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print(len(arr3)) # there are 12476 pixels



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