Entropy = 7.999983 bits per byte. Optimum compression would reduce the size of this 10485760 byte file by 0 percent. Chi square distribution for 10485760 samples is 239.88, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 127.4760 (127.5 = random). Monte Carlo value for Pi is 3.141733987 (error 0.00 percent). Serial correlation coefficient is -0.000196 (totally uncorrelated = 0.0). Value Char Occurrences Fraction 0 41174 0.003927 1 41287 0.003937 2 41200 0.003929 3 40800 0.003891 4 41019 0.003912 5 40730 0.003884 6 41055 0.003915 7 40760 0.003887 8 40861 0.003897 9 40989 0.003909 10 41113 0.003921 11 40948 0.003905 12 40639 0.003876 13 41358 0.003944 14 41082 0.003918 15 40928 0.003903 16 41147 0.003924 17 41167 0.003926 18 40771 0.003888 19 40810 0.003892 20 40931 0.003903 21 41262 0.003935 22 41247 0.003934 23 41151 0.003924 24 40752 0.003886 25 41039 0.003914 26 40831 0.003894 27 40801 0.003891 28 40887 0.003899 29 41029 0.003913 30 41162 0.003926 31 40919 0.003902 32 41247 0.003934 33 ! 41010 0.003911 34 " 40831 0.003894 35 # 40955 0.003906 36 $ 40889 0.003899 37 % 40845 0.003895 38 & 41028 0.003913 39 ' 41099 0.003920 40 ( 41175 0.003927 41 ) 40730 0.003884 42 * 41080 0.003918 43 + 41149 0.003924 44 , 41271 0.003936 45 - 41314 0.003940 46 . 40967 0.003907 47 / 40673 0.003879 48 0 40913 0.003902 49 1 41075 0.003917 50 2 40786 0.003890 51 3 41309 0.003940 52 4 41034 0.003913 53 5 41184 0.003928 54 6 40832 0.003894 55 7 41057 0.003916 56 8 40928 0.003903 57 9 40618 0.003874 58 : 40716 0.003883 59 ; 40659 0.003878 60 < 40807 0.003892 61 = 40838 0.003895 62 > 41242 0.003933 63 ? 40725 0.003884 64 @ 41002 0.003910 65 A 41037 0.003914 66 B 41394 0.003948 67 C 40968 0.003907 68 D 40770 0.003888 69 E 41302 0.003939 70 F 40857 0.003896 71 G 41201 0.003929 72 H 41116 0.003921 73 I 40788 0.003890 74 J 40819 0.003893 75 K 41342 0.003943 76 L 40753 0.003887 77 M 40943 0.003905 78 N 41189 0.003928 79 O 41049 0.003915 80 P 40763 0.003887 81 Q 41109 0.003920 82 R 41027 0.003913 83 S 40830 0.003894 84 T 40901 0.003901 85 U 40905 0.003901 86 V 40714 0.003883 87 W 40947 0.003905 88 X 40923 0.003903 89 Y 40948 0.003905 90 Z 40724 0.003884 91 [ 41362 0.003945 92 \ 40872 0.003898 93 ] 40962 0.003906 94 ^ 40578 0.003870 95 _ 40970 0.003907 96 ` 41208 0.003930 97 a 40930 0.003903 98 b 40978 0.003908 99 c 40745 0.003886 100 d 40961 0.003906 101 e 40961 0.003906 102 f 40544 0.003867 103 g 41248 0.003934 104 h 40939 0.003904 105 i 41118 0.003921 106 j 40693 0.003881 107 k 40795 0.003891 108 l 40895 0.003900 109 m 40631 0.003875 110 n 40886 0.003899 111 o 41061 0.003916 112 p 40980 0.003908 113 q 40819 0.003893 114 r 40637 0.003875 115 s 40738 0.003885 116 t 40705 0.003882 117 u 40976 0.003908 118 v 41214 0.003930 119 w 41213 0.003930 120 x 41227 0.003932 121 y 41145 0.003924 122 z 41045 0.003914 123 { 41019 0.003912 124 | 40981 0.003908 125 } 40791 0.003890 126 ~ 40947 0.003905 127 40950 0.003905 128 40878 0.003898 129 40985 0.003909 130 41184 0.003928 131 41307 0.003939 132 40746 0.003886 133 40902 0.003901 134 40483 0.003861 135 40321 0.003845 136 40880 0.003899 137 40627 0.003874 138 41004 0.003910 139 41136 0.003923 140 41013 0.003911 141 41069 0.003917 142 41041 0.003914 143 40977 0.003908 144 40910 0.003901 145 41267 0.003936 146 41028 0.003913 147 40811 0.003892 148 40918 0.003902 149 40912 0.003902 150 40884 0.003899 151 40824 0.003893 152 40958 0.003906 153 41127 0.003922 154 40855 0.003896 155 40859 0.003897 156 41047 0.003915 157 41023 0.003912 158 40887 0.003899 159 41297 0.003938 160 40856 0.003896 161 ¡ 40813 0.003892 162 ¢ 41298 0.003938 163 £ 40974 0.003908 164 ¤ 41163 0.003926 165 ¥ 41208 0.003930 166 ¦ 41071 0.003917 167 § 40885 0.003899 168 ¨ 41398 0.003948 169 © 40661 0.003878 170 ª 41189 0.003928 171 « 41150 0.003924 172 ¬ 40964 0.003907 173 ­ 40881 0.003899 174 ® 40842 0.003895 175 ¯ 41087 0.003918 176 ° 40884 0.003899 177 ± 41031 0.003913 178 ² 40732 0.003885 179 ³ 40794 0.003890 180 ´ 40749 0.003886 181 µ 40898 0.003900 182 ¶ 40921 0.003903 183 · 40913 0.003902 184 ¸ 40861 0.003897 185 ¹ 41148 0.003924 186 º 41334 0.003942 187 » 41086 0.003918 188 ¼ 40774 0.003889 189 ½ 40786 0.003890 190 ¾ 41189 0.003928 191 ¿ 41049 0.003915 192 À 40974 0.003908 193 Á 40798 0.003891 194 Â 40555 0.003868 195 Ã 40958 0.003906 196 Ä 40619 0.003874 197 Å 41034 0.003913 198 Æ 41075 0.003917 199 Ç 41094 0.003919 200 È 41299 0.003939 201 É 41139 0.003923 202 Ê 40951 0.003905 203 Ë 41106 0.003920 204 Ì 40819 0.003893 205 Í 40819 0.003893 206 Î 41016 0.003912 207 Ï 40799 0.003891 208 Ð 40812 0.003892 209 Ñ 40677 0.003879 210 Ò 40917 0.003902 211 Ó 41355 0.003944 212 Ô 40777 0.003889 213 Õ 41105 0.003920 214 Ö 40835 0.003894 215 × 41234 0.003932 216 Ø 41026 0.003913 217 Ù 40464 0.003859 218 Ú 41017 0.003912 219 Û 40828 0.003894 220 Ü 40921 0.003903 221 Ý 40454 0.003858 222 Þ 40813 0.003892 223 ß 40672 0.003879 224 à 40909 0.003901 225 á 41014 0.003911 226 â 40995 0.003910 227 ã 41074 0.003917 228 ä 40942 0.003905 229 å 40745 0.003886 230 æ 41153 0.003925 231 ç 40949 0.003905 232 è 41014 0.003911 233 é 41089 0.003919 234 ê 41132 0.003923 235 ë 40991 0.003909 236 ì 40842 0.003895 237 í 40989 0.003909 238 î 40730 0.003884 239 ï 40999 0.003910 240 ð 40767 0.003888 241 ñ 41266 0.003935 242 ò 40678 0.003879 243 ó 40944 0.003905 244 ô 41206 0.003930 245 õ 41090 0.003919 246 ö 41276 0.003936 247 ÷ 40920 0.003902 248 ø 41054 0.003915 249 ù 40690 0.003881 250 ú 40884 0.003899 251 û 40791 0.003890 252 ü 41307 0.003939 253 ý 40831 0.003894 254 þ 40888 0.003899 255 ÿ 41010 0.003911 Total: 10485760 1.000000 Entropy = 7.999983 bits per byte. Optimum compression would reduce the size of this 10485760 byte file by 0 percent. Chi square distribution for 10485760 samples is 239.88, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 127.4760 (127.5 = random). Monte Carlo value for Pi is 3.141733987 (error 0.00 percent). Serial correlation coefficient is -0.000196 (totally uncorrelated = 0.0). Value Char Occurrences Fraction 0 41174 0.003927 1 41287 0.003937 2 41200 0.003929 3 40800 0.003891 4 41019 0.003912 5 40730 0.003884 6 41055 0.003915 7 40760 0.003887 8 40861 0.003897 9 40989 0.003909 10 41113 0.003921 11 40948 0.003905 12 40639 0.003876 13 41358 0.003944 14 41082 0.003918 15 40928 0.003903 16 41147 0.003924 17 41167 0.003926 18 40771 0.003888 19 40810 0.003892 20 40931 0.003903 21 41262 0.003935 22 41247 0.003934 23 41151 0.003924 24 40752 0.003886 25 41039 0.003914 26 40831 0.003894 27 40801 0.003891 28 40887 0.003899 29 41029 0.003913 30 41162 0.003926 31 40919 0.003902 32 41247 0.003934 33 ! 41010 0.003911 34 " 40831 0.003894 35 # 40955 0.003906 36 $ 40889 0.003899 37 % 40845 0.003895 38 & 41028 0.003913 39 ' 41099 0.003920 40 ( 41175 0.003927 41 ) 40730 0.003884 42 * 41080 0.003918 43 + 41149 0.003924 44 , 41271 0.003936 45 - 41314 0.003940 46 . 40967 0.003907 47 / 40673 0.003879 48 0 40913 0.003902 49 1 41075 0.003917 50 2 40786 0.003890 51 3 41309 0.003940 52 4 41034 0.003913 53 5 41184 0.003928 54 6 40832 0.003894 55 7 41057 0.003916 56 8 40928 0.003903 57 9 40618 0.003874 58 : 40716 0.003883 59 ; 40659 0.003878 60 < 40807 0.003892 61 = 40838 0.003895 62 > 41242 0.003933 63 ? 40725 0.003884 64 @ 41002 0.003910 91 [ 41362 0.003945 92 \ 40872 0.003898 93 ] 40962 0.003906 94 ^ 40578 0.003870 95 _ 40970 0.003907 96 ` 41208 0.003930 97 a 81967 0.007817 98 b 82372 0.007856 99 c 81713 0.007793 100 d 81731 0.007794 101 e 82263 0.007845 102 f 81401 0.007763 103 g 82449 0.007863 104 h 82055 0.007825 105 i 81906 0.007811 106 j 81512 0.007774 107 k 82137 0.007833 108 l 81648 0.007787 109 m 81574 0.007780 110 n 82075 0.007827 111 o 82110 0.007831 112 p 81743 0.007796 113 q 81928 0.007813 114 r 81664 0.007788 115 s 81568 0.007779 116 t 81606 0.007783 117 u 81881 0.007809 118 v 81928 0.007813 119 w 82160 0.007835 120 x 82150 0.007834 121 y 82093 0.007829 122 z 81769 0.007798 123 { 41019 0.003912 124 | 40981 0.003908 125 } 40791 0.003890 126 ~ 40947 0.003905 127 40950 0.003905 128 40878 0.003898 129 40985 0.003909 130 41184 0.003928 131 41307 0.003939 132 40746 0.003886 133 40902 0.003901 134 40483 0.003861 135 40321 0.003845 136 40880 0.003899 137 40627 0.003874 138 41004 0.003910 139 41136 0.003923 140 41013 0.003911 141 41069 0.003917 142 41041 0.003914 143 40977 0.003908 144 40910 0.003901 145 41267 0.003936 146 41028 0.003913 147 40811 0.003892 148 40918 0.003902 149 40912 0.003902 150 40884 0.003899 151 40824 0.003893 152 40958 0.003906 153 41127 0.003922 154 40855 0.003896 155 40859 0.003897 156 41047 0.003915 157 41023 0.003912 158 40887 0.003899 159 41297 0.003938 160 40856 0.003896 161 ¡ 40813 0.003892 162 ¢ 41298 0.003938 163 £ 40974 0.003908 164 ¤ 41163 0.003926 165 ¥ 41208 0.003930 166 ¦ 41071 0.003917 167 § 40885 0.003899 168 ¨ 41398 0.003948 169 © 40661 0.003878 170 ª 41189 0.003928 171 « 41150 0.003924 172 ¬ 40964 0.003907 173 ­ 40881 0.003899 174 ® 40842 0.003895 175 ¯ 41087 0.003918 176 ° 40884 0.003899 177 ± 41031 0.003913 178 ² 40732 0.003885 179 ³ 40794 0.003890 180 ´ 40749 0.003886 181 µ 40898 0.003900 182 ¶ 40921 0.003903 183 · 40913 0.003902 184 ¸ 40861 0.003897 185 ¹ 41148 0.003924 186 º 41334 0.003942 187 » 41086 0.003918 188 ¼ 40774 0.003889 189 ½ 40786 0.003890 190 ¾ 41189 0.003928 191 ¿ 41049 0.003915 215 × 41234 0.003932 223 ß 40672 0.003879 224 à 81883 0.007809 225 á 81812 0.007802 226 â 81550 0.007777 227 ã 82032 0.007823 228 ä 81561 0.007778 229 å 81779 0.007799 230 æ 82228 0.007842 231 ç 82043 0.007824 232 è 82313 0.007850 233 é 82228 0.007842 234 ê 82083 0.007828 235 ë 82097 0.007829 236 ì 81661 0.007788 237 í 81808 0.007802 238 î 81746 0.007796 239 ï 81798 0.007801 240 ð 81579 0.007780 241 ñ 81943 0.007815 242 ò 81595 0.007782 243 ó 82299 0.007849 244 ô 81983 0.007819 245 õ 82195 0.007839 246 ö 82111 0.007831 247 ÷ 40920 0.003902 248 ø 82080 0.007828 249 ù 81154 0.007739 250 ú 81901 0.007811 251 û 81619 0.007784 252 ü 82228 0.007842 253 ý 81285 0.007752 254 þ 81701 0.007792 255 ÿ 41010 0.003911 Total: 10485760 1.000000 Entropy = 7.562661 bits per byte. Optimum compression would reduce the size of this 10485760 byte file by 5 percent. Chi square distribution for 10485760 samples is 4584120.63, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 134.4718 (127.5 = random). Monte Carlo value for Pi is 2.829822857 (error 9.92 percent). Serial correlation coefficient is -0.000184 (totally uncorrelated = 0.0). Entropy = 1.000000 bits per bit. Optimum compression would reduce the size of this 83886080 bit file by 0 percent. Chi square distribution for 83886080 samples is 0.95, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bits is 0.4999 (0.5 = random). Monte Carlo value for Pi is 3.141733987 (error 0.00 percent). Serial correlation coefficient is -0.000049 (totally uncorrelated = 0.0). Value Char Occurrences Fraction 0 41947504 0.500053 1 41938576 0.499947 Total: 83886080 1.000000 Entropy = 1.000000 bits per bit. Optimum compression would reduce the size of this 83886080 bit file by 0 percent. Chi square distribution for 83886080 samples is 0.95, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bits is 0.4999 (0.5 = random). Monte Carlo value for Pi is 3.141733987 (error 0.00 percent). Serial correlation coefficient is -0.000049 (totally uncorrelated = 0.0). 0,File-bytes,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,10485760,7.999983,239.876172,127.476028,3.141734,-0.000196 0,File-bytes,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,10485760,7.999983,239.876172,127.476028,3.141734,-0.000196 2,Value,Occurrences,Fraction 3,0,41174,0.003927 3,1,41287,0.003937 3,2,41200,0.003929 3,3,40800,0.003891 3,4,41019,0.003912 3,5,40730,0.003884 3,6,41055,0.003915 3,7,40760,0.003887 3,8,40861,0.003897 3,9,40989,0.003909 3,10,41113,0.003921 3,11,40948,0.003905 3,12,40639,0.003876 3,13,41358,0.003944 3,14,41082,0.003918 3,15,40928,0.003903 3,16,41147,0.003924 3,17,41167,0.003926 3,18,40771,0.003888 3,19,40810,0.003892 3,20,40931,0.003903 3,21,41262,0.003935 3,22,41247,0.003934 3,23,41151,0.003924 3,24,40752,0.003886 3,25,41039,0.003914 3,26,40831,0.003894 3,27,40801,0.003891 3,28,40887,0.003899 3,29,41029,0.003913 3,30,41162,0.003926 3,31,40919,0.003902 3,32,41247,0.003934 3,33,41010,0.003911 3,34,40831,0.003894 3,35,40955,0.003906 3,36,40889,0.003899 3,37,40845,0.003895 3,38,41028,0.003913 3,39,41099,0.003920 3,40,41175,0.003927 3,41,40730,0.003884 3,42,41080,0.003918 3,43,41149,0.003924 3,44,41271,0.003936 3,45,41314,0.003940 3,46,40967,0.003907 3,47,40673,0.003879 3,48,40913,0.003902 3,49,41075,0.003917 3,50,40786,0.003890 3,51,41309,0.003940 3,52,41034,0.003913 3,53,41184,0.003928 3,54,40832,0.003894 3,55,41057,0.003916 3,56,40928,0.003903 3,57,40618,0.003874 3,58,40716,0.003883 3,59,40659,0.003878 3,60,40807,0.003892 3,61,40838,0.003895 3,62,41242,0.003933 3,63,40725,0.003884 3,64,41002,0.003910 3,65,41037,0.003914 3,66,41394,0.003948 3,67,40968,0.003907 3,68,40770,0.003888 3,69,41302,0.003939 3,70,40857,0.003896 3,71,41201,0.003929 3,72,41116,0.003921 3,73,40788,0.003890 3,74,40819,0.003893 3,75,41342,0.003943 3,76,40753,0.003887 3,77,40943,0.003905 3,78,41189,0.003928 3,79,41049,0.003915 3,80,40763,0.003887 3,81,41109,0.003920 3,82,41027,0.003913 3,83,40830,0.003894 3,84,40901,0.003901 3,85,40905,0.003901 3,86,40714,0.003883 3,87,40947,0.003905 3,88,40923,0.003903 3,89,40948,0.003905 3,90,40724,0.003884 3,91,41362,0.003945 3,92,40872,0.003898 3,93,40962,0.003906 3,94,40578,0.003870 3,95,40970,0.003907 3,96,41208,0.003930 3,97,40930,0.003903 3,98,40978,0.003908 3,99,40745,0.003886 3,100,40961,0.003906 3,101,40961,0.003906 3,102,40544,0.003867 3,103,41248,0.003934 3,104,40939,0.003904 3,105,41118,0.003921 3,106,40693,0.003881 3,107,40795,0.003891 3,108,40895,0.003900 3,109,40631,0.003875 3,110,40886,0.003899 3,111,41061,0.003916 3,112,40980,0.003908 3,113,40819,0.003893 3,114,40637,0.003875 3,115,40738,0.003885 3,116,40705,0.003882 3,117,40976,0.003908 3,118,41214,0.003930 3,119,41213,0.003930 3,120,41227,0.003932 3,121,41145,0.003924 3,122,41045,0.003914 3,123,41019,0.003912 3,124,40981,0.003908 3,125,40791,0.003890 3,126,40947,0.003905 3,127,40950,0.003905 3,128,40878,0.003898 3,129,40985,0.003909 3,130,41184,0.003928 3,131,41307,0.003939 3,132,40746,0.003886 3,133,40902,0.003901 3,134,40483,0.003861 3,135,40321,0.003845 3,136,40880,0.003899 3,137,40627,0.003874 3,138,41004,0.003910 3,139,41136,0.003923 3,140,41013,0.003911 3,141,41069,0.003917 3,142,41041,0.003914 3,143,40977,0.003908 3,144,40910,0.003901 3,145,41267,0.003936 3,146,41028,0.003913 3,147,40811,0.003892 3,148,40918,0.003902 3,149,40912,0.003902 3,150,40884,0.003899 3,151,40824,0.003893 3,152,40958,0.003906 3,153,41127,0.003922 3,154,40855,0.003896 3,155,40859,0.003897 3,156,41047,0.003915 3,157,41023,0.003912 3,158,40887,0.003899 3,159,41297,0.003938 3,160,40856,0.003896 3,161,40813,0.003892 3,162,41298,0.003938 3,163,40974,0.003908 3,164,41163,0.003926 3,165,41208,0.003930 3,166,41071,0.003917 3,167,40885,0.003899 3,168,41398,0.003948 3,169,40661,0.003878 3,170,41189,0.003928 3,171,41150,0.003924 3,172,40964,0.003907 3,173,40881,0.003899 3,174,40842,0.003895 3,175,41087,0.003918 3,176,40884,0.003899 3,177,41031,0.003913 3,178,40732,0.003885 3,179,40794,0.003890 3,180,40749,0.003886 3,181,40898,0.003900 3,182,40921,0.003903 3,183,40913,0.003902 3,184,40861,0.003897 3,185,41148,0.003924 3,186,41334,0.003942 3,187,41086,0.003918 3,188,40774,0.003889 3,189,40786,0.003890 3,190,41189,0.003928 3,191,41049,0.003915 3,192,40974,0.003908 3,193,40798,0.003891 3,194,40555,0.003868 3,195,40958,0.003906 3,196,40619,0.003874 3,197,41034,0.003913 3,198,41075,0.003917 3,199,41094,0.003919 3,200,41299,0.003939 3,201,41139,0.003923 3,202,40951,0.003905 3,203,41106,0.003920 3,204,40819,0.003893 3,205,40819,0.003893 3,206,41016,0.003912 3,207,40799,0.003891 3,208,40812,0.003892 3,209,40677,0.003879 3,210,40917,0.003902 3,211,41355,0.003944 3,212,40777,0.003889 3,213,41105,0.003920 3,214,40835,0.003894 3,215,41234,0.003932 3,216,41026,0.003913 3,217,40464,0.003859 3,218,41017,0.003912 3,219,40828,0.003894 3,220,40921,0.003903 3,221,40454,0.003858 3,222,40813,0.003892 3,223,40672,0.003879 3,224,40909,0.003901 3,225,41014,0.003911 3,226,40995,0.003910 3,227,41074,0.003917 3,228,40942,0.003905 3,229,40745,0.003886 3,230,41153,0.003925 3,231,40949,0.003905 3,232,41014,0.003911 3,233,41089,0.003919 3,234,41132,0.003923 3,235,40991,0.003909 3,236,40842,0.003895 3,237,40989,0.003909 3,238,40730,0.003884 3,239,40999,0.003910 3,240,40767,0.003888 3,241,41266,0.003935 3,242,40678,0.003879 3,243,40944,0.003905 3,244,41206,0.003930 3,245,41090,0.003919 3,246,41276,0.003936 3,247,40920,0.003902 3,248,41054,0.003915 3,249,40690,0.003881 3,250,40884,0.003899 3,251,40791,0.003890 3,252,41307,0.003939 3,253,40831,0.003894 3,254,40888,0.003899 3,255,41010,0.003911 0,File-bytes,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,10485760,7.562661,4584120.628467,134.471801,2.829823,-0.000184 0,File-bits,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,83886080,1.000000,0.950208,0.499947,3.141734,-0.000049 0,File-bits,Entropy,Chi-square,Mean,Monte-Carlo-Pi,Serial-Correlation 1,83886080,1.000000,0.950208,0.499947,3.141734,-0.000049 2,Value,Occurrences,Fraction 3,0,41947504,0.500053 3,1,41938576,0.499947