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MacOS 8.1

Win98

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+--------+-------------------------+-------------------------+--------+--------+
|00000000| 2e 4d 43 41 44 20 33 30 | 36 30 30 30 30 30 30 0c |.MCAD 30|6000000.|
|00000010| 00 00 00 01 00 00 00 5a | 00 00 00 0a 00 00 00 01 |.......Z|........|
|00000020| 00 02 00 00 00 0b 64 6f | 63 44 6f 63 75 6d 65 6e |......do|cDocumen|
|00000030| 74 04 00 00 00 00 00 3c | 00 00 00 08 6d 63 4f 62 |t......<|....mcOb|
|00000040| 6a 65 63 74 00 00 00 00 | 00 00 49 00 00 00 ff ff |ject....|..I.....|
|00000050| ff ff 08 00 00 00 08 00 | 00 00 a8 00 00 00 a8 00 |........|........|
|00000060| 00 00 08 08 03 07 03 00 | 02 00 00 00 0f 64 32 5f |........|.....d2_|
|00000070| 67 72 61 70 68 5f 66 6f | 72 6d 61 74 00 00 00 00 |graph_fo|rmat....|
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|00000090| 00 00 00 00 00 00 16 00 | 00 00 00 00 00 00 02 03 |........|........|
|000000a0| 00 00 00 01 00 00 00 15 | 00 00 00 0f 00 00 00 00 |........|........|
|000000b0| 00 00 00 01 00 01 00 00 | 00 0a 61 78 69 73 46 6f |........|..axisFo|
|000000c0| 72 6d 61 74 00 00 00 00 | 00 00 1a 00 00 00 44 00 |rmat....|......D.|
|000000d0| 00 00 00 01 00 00 00 00 | 00 00 00 00 01 1a 44 00 |........|......D.|
|000000e0| 00 00 00 01 00 00 00 00 | 00 00 00 00 00 01 00 01 |........|........|
|000000f0| 00 00 00 07 74 72 61 63 | 65 32 44 00 00 00 00 00 |....trac|e2D.....|
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|00000130| 04 00 1f 08 01 17 01 01 | 1f 09 01 17 02 02 1f 0a |........|........|
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|00000160| 04 01 1f 00 04 00 01 00 | 00 00 0a 64 69 6d 5f 66 |........|...dim_f|
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|000001a0| 65 72 61 74 75 72 65 0a | 6c 75 6d 69 6e 6f 73 69 |erature.|luminosi|
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|00000250| 01 00 00 00 00 00 00 00 | 00 00 00 05 00 01 00 00 |........|........|
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|000002a0| 00 00 00 39 00 00 00 01 | 00 00 00 1f 00 00 00 02 |...9....|........|
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|000002d0| 65 45 6e 67 69 6e 65 00 | 00 00 00 00 00 3d 00 00 |eEngine.|.....=..|
|000002e0| 00 01 00 01 00 00 00 08 | 42 75 69 6c 74 49 6e 73 |........|BuiltIns|
|000002f0| 02 00 00 00 00 00 42 00 | 00 00 01 00 00 00 59 33 |......B.|......Y3|
|00000300| 00 00 01 00 01 00 00 00 | 0c 53 65 72 69 61 6c 41 |........|.SerialA|
|00000310| 6e 79 76 61 6c 00 00 00 | 00 00 00 48 00 00 00 01 |nyval...|...H....|
|00000320| 00 00 00 00 00 00 00 00 | 00 10 40 5a 33 00 00 01 |........|..@Z3...|
|00000330| 40 48 01 00 00 00 00 00 | 00 00 00 00 20 40 5b 33 |@H......|.... @[3|
|00000340| 00 00 01 40 48 01 00 00 | 00 00 00 00 00 00 00 00 |...@H...|........|
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|00000370| 00 00 00 00 00 00 00 01 | 00 01 00 00 00 0b 75 6e |........|......un|
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|00000390| 00 00 00 01 00 00 00 01 | 00 01 00 00 00 09 54 65 |........|......Te|
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|000003b0| 00 06 00 01 00 00 00 09 | 54 65 78 74 53 74 79 6c |........|TextStyl|
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|000003d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000003e0| 00 00 00 00 00 0f 54 69 | 6d 65 73 20 4e 65 77 20 |......Ti|mes New |
|000003f0| 52 6f 6d 61 6e 00 07 00 | 00 00 00 0a 4e 6f 72 6d |Roman...|....Norm|
|00000400| 61 6c 00 00 00 00 00 01 | 00 00 00 00 ff ff ff ff |al......|........|
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|00000490| 73 20 4e 65 77 20 52 6f | 6d 61 6e 01 3f f0 ff ff |s New Ro|man.?...|
|000004a0| ff f3 ff ff ff 0c 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000004b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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|000004d0| 61 6e 74 73 0f 54 69 6d | 65 73 20 4e 65 77 20 52 |ants.Tim|es New R|
|000004e0| 6f 6d 61 6e 01 3f f0 ff | ff ff f3 ff ff ff 0c 00 |oman.?..|........|
|000004f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000500| 00 00 00 00 00 00 00 00 | 00 00 ff ff ff ff 00 00 |........|........|
|00000510| 00 00 01 04 54 65 78 74 | 0f 54 69 6d 65 73 20 4e |....Text|.Times N|
|00000520| 65 77 20 52 6f 6d 61 6e | 01 3f f3 ff ff ff f6 ff |ew Roman|.?......|
|00000530| ff ff 0a 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000540| 00 00 00 00 00 00 00 00 | 00 00 02 00 00 00 ff ff |........|........|
|00000550| ff ff 00 00 00 00 01 0f | 47 72 65 65 6b 20 56 61 |........|Greek Va|
|00000560| 72 69 61 62 6c 65 73 06 | 53 79 6d 62 6f 6c 01 3f |riables.|Symbol.?|
|00000570| f3 ff ff ff f6 ff ff ff | 0a 00 00 00 00 00 00 00 |........|........|
|00000580| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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|000005a0| 65 72 5e 31 05 41 72 69 | 61 6c 01 3f f3 ff ff ff |er^1.Ari|al.?....|
|000005b0| f6 ff ff ff 0a 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000005c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
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|000005e0| 0b 43 6f 75 72 69 65 72 | 20 4e 65 77 01 3f f3 ff |.Courier| New.?..|
|000005f0| ff ff f3 ff ff ff 0a 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000600| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000610| 00 00 ff ff ff ff 00 00 | 00 00 01 06 55 73 65 72 |........|....User|
|00000620| 5e 33 06 53 79 73 74 65 | 6d 01 3f f3 ff ff ff f3 |^3.Syste|m.?.....|
|00000630| ff ff ff 0a 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000640| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 ff |........|........|
|00000650| ff ff ff 00 00 00 00 01 | 06 55 73 65 72 5e 34 06 |........|.User^4.|
|00000660| 53 63 72 69 70 74 01 3f | f3 ff ff ff f3 ff ff ff |Script.?|........|
|00000670| 0a 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000680| 00 00 00 00 00 00 00 00 | 00 00 00 00 ff ff ff ff |........|........|
|00000690| 00 00 00 00 01 06 55 73 | 65 72 5e 35 05 52 6f 6d |......Us|er^5.Rom|
|000006a0| 61 6e 01 3f f3 ff ff ff | f6 ff ff ff 0a 00 00 00 |an.?....|........|
|000006b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000006c0| 00 00 00 00 ff 00 00 00 | ff ff ff ff 00 00 00 00 |........|........|
|000006d0| 01 06 55 73 65 72 5e 36 | 06 4d 6f 64 65 72 6e 01 |..User^6|.Modern.|
|000006e0| 3f f3 ff ff ff f6 ff ff | ff 0a 00 00 00 00 00 00 |?.......|........|
|000006f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000700| 00 00 00 00 00 ff ff ff | ff 00 00 00 00 01 06 55 |........|.......U|
|00000710| 73 65 72 5e 37 0f 54 69 | 6d 65 73 20 4e 65 77 20 |ser^7.Ti|mes New |
|00000720| 52 6f 6d 61 6e 01 3f f3 | ff ff ff f6 ff ff ff 0a |Roman.?.|........|
|00000730| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000740| 00 00 00 00 00 00 00 02 | 00 00 00 ff ff ff ff 00 |........|........|
|00000750| 00 00 00 01 07 53 79 6d | 62 6f 6c 73 06 53 79 6d |.....Sym|bols.Sym|
|00000760| 62 6f 6c 01 3f f3 ff ff | ff f3 ff ff ff 0a 00 00 |bol.?...|........|
|00000770| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000780| 00 00 00 00 00 00 00 00 | 00 ff ff ff ff 00 00 00 |........|........|
|00000790| 00 01 16 43 75 72 72 65 | 6e 74 20 53 65 6c 65 63 |...Curre|nt Selec|
|000007a0| 74 69 6f 6e 20 46 6f 6e | 74 05 41 72 69 61 6c 01 |tion Fon|t.Arial.|
|000007b0| 3f f3 ff ff ff f3 ff ff | ff 0a 00 00 00 00 00 00 |?.......|........|
|000007c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000007d0| 00 00 00 00 00 ff ff ff | ff 00 00 00 00 01 0e 55 |........|.......U|
|000007e0| 6e 64 65 66 69 6e 65 64 | 20 46 6f 6e 74 00 01 3f |ndefined| Font..?|
|000007f0| f3 ff ff ff f3 ff ff ff | 0a 00 00 00 00 00 00 00 |........|........|
|00000800| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000810| 00 00 00 00 ff ff ff ff | 00 00 00 00 01 06 48 65 |........|......He|
|00000820| 61 64 65 72 05 41 72 69 | 61 6c 01 3f f3 ff ff ff |ader.Ari|al.?....|
|00000830| f3 ff ff ff 0a 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000840| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000850| ff ff ff ff 00 00 00 00 | 01 06 46 6f 6f 74 65 72 |........|..Footer|
|00000860| 05 41 72 69 61 6c 01 3f | f0 ff ff ff f0 ff ff ff |.Arial.?|........|
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|00000890| 01 00 00 00 01 11 52 6f | 74 61 74 65 64 20 4d 61 |......Ro|tated Ma|
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|000008b0| 77 20 52 6f 6d 61 6e 30 | 00 00 00 07 00 02 00 00 |w Roman0|........|
|000008c0| 00 0a 54 65 78 74 52 65 | 67 69 6f 6e 01 00 00 00 |..TextRe|gion....|
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|00000ee0| cc 2b 00 55 cc 55 00 55 | cc 80 00 55 cc aa 00 55 |.+.U.U.U|...U...U|
|00000ef0| cc d5 00 55 cc ff 00 55 | ff 00 00 55 ff 2b 00 55 |...U...U|...U.+.U|
|00000f00| ff 55 00 55 ff 80 00 55 | ff aa 00 55 ff d5 00 55 |.U.U...U|...U...U|
|00000f10| ff ff 00 aa 00 00 00 aa | 00 2b 00 aa 00 55 00 aa |........|.+...U..|
|00000f20| 00 80 00 aa 00 aa 00 aa | 00 d5 00 aa 00 ff 00 aa |........|........|
|00000f30| 33 00 00 aa 33 2b 00 aa | 33 55 00 aa 33 80 00 aa |3...3+..|3U..3...|
|00000f40| 33 aa 00 aa 33 d5 00 aa | 33 ff 00 aa 66 00 00 aa |3...3...|3...f...|
|00000f50| 66 2b 00 aa 66 55 00 aa | 66 80 00 aa 66 aa 00 aa |f+..fU..|f...f...|
|00000f60| 66 d5 00 aa 66 ff 00 aa | 99 00 00 aa 99 2b 00 aa |f...f...|.....+..|
|00000f70| 99 55 00 aa 99 80 00 aa | 99 aa 00 aa 99 d5 00 aa |.U......|........|
|00000f80| 99 ff 00 aa cc 00 00 aa | cc 2b 00 aa cc 55 00 aa |........|.+...U..|
|00000f90| cc 80 00 aa cc aa 00 aa | cc d5 00 aa cc ff 00 aa |........|........|
|00000fa0| ff 00 00 aa ff 2b 00 aa | ff 55 00 aa ff 80 00 aa |.....+..|.U......|
|00000fb0| ff aa 00 aa ff d5 00 aa | ff ff 00 ff 00 00 00 ff |........|........|
|00000fc0| 00 2b 00 ff 00 55 00 ff | 00 80 00 ff 00 aa 00 ff |.+...U..|........|
|00000fd0| 00 d5 00 ff 00 ff 00 ff | 33 00 00 ff 33 2b 00 ff |........|3...3+..|
|00000fe0| 33 55 00 ff 33 80 00 ff | 33 aa 00 ff 33 d5 00 ff |3U..3...|3...3...|
|00000ff0| 33 ff 00 ff 66 00 00 ff | 66 2b 00 ff 66 55 00 ff |3...f...|f+..fU..|
|00001000| 66 80 00 ff 66 aa 00 ff | 66 d5 00 ff 66 ff 00 ff |f...f...|f...f...|
|00001010| 99 00 00 ff 99 2b 00 ff | 99 55 00 ff 99 80 00 ff |.....+..|.U......|
|00001020| 99 aa 00 ff 99 d5 00 ff | 99 ff 00 ff cc 00 00 ff |........|........|
|00001030| cc 2b 00 ff cc 55 00 ff | cc 80 00 ff cc aa 00 ff |.+...U..|........|
|00001040| cc d5 00 ff cc ff 00 ff | ff 00 00 ff ff 2b 00 ff |........|.....+..|
|00001050| ff 55 00 ff ff 80 00 ff | ff aa 00 ff ff d5 00 ff |.U......|........|
|00001060| ff ff 00 f0 fb ff 00 a4 | a0 a0 00 c0 c0 c0 00 80 |........|........|
|00001070| 80 00 00 80 00 80 00 80 | 00 00 00 00 80 80 00 00 |........|........|
|00001080| 80 00 00 00 00 80 00 00 | 00 00 00 ac 11 87 04 96 |........|........|
|00001090| 21 3e 19 00 00 47 47 47 | 47 47 47 47 47 47 47 47 |!>...GGG|GGGGGGGG|
|000010a0| 47 47 47 47 47 47 47 47 | 47 47 47 47 47 47 47 47 |GGGGGGGG|GGGGGGGG|
|000010b0| 47 47 47 47 47 47 00 47 | 00 47 00 47 00 00 47 00 |GGGGGG.G|.G.G..G.|
|000010c0| 47 00 00 47 00 00 00 00 | 00 00 00 47 47 47 46 46 |G..G....|...GGGFF|
|000010d0| 45 45 46 45 45 45 46 45 | 45 46 45 45 45 46 45 45 |EEFEEEFE|EFEEEFEE|
|000010e0| 46 45 46 45 46 46 46 46 | 46 46 46 46 46 46 46 46 |FEFEFFFF|FFFFFFFF|
|000010f0| 46 46 46 46 46 46 46 46 | 46 46 47 00 47 00 00 00 |FFFFFFFF|FFG.G...|
|00001100| 00 00 00 47 46 45 44 44 | 44 43 43 44 43 43 43 44 |...GFEDD|DCCDCCCD|
|00001110| 43 43 44 44 43 44 44 44 | 44 44 44 44 44 44 44 44 |CCDDCDDD|DDDDDDDD|
|00001120| 44 44 44 44 44 44 44 44 | 44 44 44 44 44 44 44 45 |DDDDDDDD|DDDDDDDE|
|00001130| 45 45 45 45 47 47 00 00 | 00 00 00 46 45 44 43 41 |EEEEGG..|...FEDCA|
|00001140| 41 41 41 b9 41 41 41 b9 | 41 41 41 41 41 41 41 41 |AAA.AAA.|AAAAAAAA|
|00001150| 41 41 41 42 41 41 41 41 | 41 42 41 42 41 41 42 41 |AAABAAAA|ABABAABA|
|00001160| 42 41 42 42 42 42 42 42 | 42 43 43 45 45 47 47 00 |BABBBBBB|BCCEEGG.|
|00001170| 00 00 00 45 44 42 b9 40 | 3f 3e 3e 3e 3e 3e 3e 3f |...EDB.@|?>>>>>>?|
|00001180| 3f 3e 3e 3e 3e 3e 3e 3e | 3e 3e 3e 3e 3e 3f 3e 3e |?>>>>>>>|>>>>>?>>|
|00001190| 3f 3e 3f 3e 3f 3f 3f 3f | 3f 3f 3f 3f 3f 3f 3f 3f |?>?>????|????????|
|000011a0| 40 b9 41 43 45 45 00 47 | 00 00 00 44 43 b9 3e 07 |@.ACEE.G|...DC.>.|
|000011b0| 07 b8 d9 b7 b0 3c b0 b0 | b0 b0 b7 b0 b7 07 3e 3c |.....<..|......><|
|000011c0| 07 07 07 3c 3c 3c 3c 3c | 3c 3c 3c 3c 3c 3c 3c 3c |...<<<<<|<<<<<<<<|
|000011d0| 3c 3c 3c 3c 07 3c 07 07 | 07 3e 3f 41 43 45 46 00 |<<<<.<..|.>?ACEF.|
|000011e0| 00 00 00 44 41 40 07 42 | b8 b7 af b7 e2 b7 e1 b7 |...DA@.B|........|
|000011f0| b7 b7 b0 b7 b0 b0 b0 b7 | b0 b0 b1 b0 b8 b7 b8 b8 |........|........|
|00001200| 41 b8 41 42 42 43 43 43 | 43 43 43 44 43 44 08 44 |A.ABBCCC|CCCDCD.D|
|00001210| 44 44 45 45 46 47 46 47 | 00 00 00 43 41 3e 3c b9 |DDEEFGFG|...CA><.|
|00001220| b7 b0 d9 e2 46 46 f2 eb | 45 09 eb 09 09 09 e2 b8 |....FF..|E.......|
|00001230| e2 b8 b7 e1 b0 b7 b0 b0 | b0 b0 b0 b0 b0 b0 b0 b1 |........|........|
|00001240| b7 b8 b8 b8 b8 41 41 42 | 42 08 44 44 eb 46 46 47 |.....AAB|B.DD.FFG|
|00001250| 00 00 00 43 41 3e 3c 3f | b7 b0 af b7 e2 09 09 45 |...CA><?|.......E|
|00001260| eb f2 f2 47 00 00 00 f4 | 00 47 00 f2 46 46 eb 46 |...G....|.G..FF.F|
|00001270| 09 09 09 09 b8 e2 b7 b7 | b7 b0 b0 b0 b0 b0 b0 b0 |........|........|
|00001280| b0 b0 b0 b8 b8 41 45 47 | 00 00 00 43 b9 07 3c 3f |.....AEG|...C..<?|
|00001290| af b0 b7 b0 b0 b0 b0 b0 | b0 b0 b0 b0 b0 b0 b7 da |........|........|
|000012a0| b7 b8 e2 41 09 09 46 eb | f2 00 f2 00 00 00 00 47 |...A..F.|.......G|
|000012b0| 00 46 f2 47 eb eb 09 09 | b8 e2 b7 b7 b0 b0 09 47 |.F.G....|.......G|
|000012c0| 00 00 00 43 40 3e 3b 3e | b7 b0 b0 09 09 e2 42 e2 |...C@>;>|......B.|
|000012d0| 42 e2 b8 e2 b8 b7 b1 b7 | b0 b0 b0 b0 b0 b0 b0 b0 |B.......|........|
|000012e0| b0 b0 b0 b0 b0 b0 e1 b8 | e2 41 09 09 45 f2 f2 00 |........|.A..E...|
|000012f0| 00 47 00 00 00 00 47 47 | 00 00 00 43 40 07 3c 3e |.G....GG|...C@.<>|
|00001300| af b0 b0 09 e2 09 e2 09 | e2 09 09 09 09 09 09 09 |........|........|
|00001310| 09 09 09 09 09 09 09 09 | 40 e2 b8 b8 b8 b0 b7 b0 |........|@.......|
|00001320| b0 b0 b0 b0 b0 b0 b0 b0 | b0 b0 b7 e1 b8 b8 09 eb |........|........|
|00001330| 00 00 00 42 40 3e 3b 3e | b0 af b0 09 09 09 09 09 |...B@>;>|........|
|00001340| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|00001350| 09 09 09 09 09 09 09 42 | ea 09 09 09 09 e3 41 e2 |.......B|......A.|
|00001360| b8 b8 b8 b0 b8 b0 e2 46 | 00 00 00 43 b9 07 3c 3e |.......F|...C..<>|
|00001370| af b0 b7 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|00001380| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|00001390| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 47 |........|.......G|
|000013a0| 00 00 00 42 b9 07 3b 07 | b0 b0 e2 09 09 09 09 09 |...B..;.|........|
|000013b0| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|000013c0| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|000013d0| 09 09 09 09 09 09 45 47 | 00 00 00 43 40 07 3c b7 |......EG|...C@.<.|
|000013e0| b0 b0 b8 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|000013f0| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|00001400| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 45 47 |........|......EG|
|00001410| 00 00 00 42 40 07 3c b0 | b0 b0 09 09 09 09 09 09 |...B@.<.|........|
|00001420| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|00001430| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|00001440| 09 09 09 09 09 09 46 00 | 00 00 00 43 40 07 3c b0 |......F.|...C@.<.|
|00001450| b0 b0 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|00001460| 09 09 09 09 09 09 09 09 | 09 ea b1 e3 09 09 09 09 |........|........|
|00001470| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 eb 46 47 |........|......FG|
|00001480| 00 00 00 42 40 07 3c b7 | b0 b0 09 09 09 09 09 09 |...B@.<.|........|
|00001490| 09 09 09 09 09 09 09 09 | 09 09 09 09 09 09 09 09 |........|........|
|000014a0| ea b1 aa b1 09 09 09 09 | 09 09 09 09 09 09 eb 09 |........|........|
|000014b0| 09 09 09 09 09 46 46 00 | 00 00 00 42 40 07 3b af |.....FF.|...B@.;.|
|000014c0| b0 b0 09 09 09 09 09 09 | eb 09 09 eb 09 09 09 09 |........|........|
|000014d0| 09 eb 09 09 09 e3 09 09 | b2 aa aa e3 09 eb 09 ea |........|........|
|000014e0| aa e3 09 09 eb 09 09 09 | 09 09 09 09 09 47 46 47 |........|.....GFG|
|000014f0| 00 00 00 42 40 07 3c b0 | af b7 09 09 09 09 09 09 |...B@.<.|........|
|00001500| 09 09 09 09 09 ea 09 09 | 09 09 09 09 09 b1 aa e3 |........|........|
|00001510| a9 42 a9 09 09 09 09 b2 | aa 09 09 09 09 09 09 eb |.B......|........|
|00001520| 09 eb 09 eb 45 47 46 00 | 00 00 00 42 40 07 3b af |....EGF.|...B@.;.|
|00001530| b0 e2 09 09 09 09 09 09 | ea 09 09 09 09 44 09 09 |........|.....D..|
|00001540| ea 09 09 eb 09 09 aa aa | e3 09 a3 09 09 09 09 b1 |........|........|
|00001550| e3 09 ea 09 09 09 09 ea | 09 09 09 ea 46 00 46 47 |........|....F.FG|
|00001560| 00 00 00 42 40 3e 3c b0 | b0 41 09 09 eb 09 09 ea |...B@><.|.A......|
|00001570| 44 09 09 eb 09 09 eb 09 | 44 09 09 09 09 09 09 b9 |D.......|D.......|
|00001580| 09 09 aa 09 eb 09 ea b1 | aa aa aa ea 43 e3 b9 09 |........|....C...|
|00001590| 09 45 09 45 46 00 46 00 | 00 00 00 42 40 07 3c b0 |.E.EF.F.|...B@.<.|
|000015a0| b0 09 09 09 09 09 44 09 | 09 09 ea 09 09 09 09 09 |......D.|........|
|000015b0| 09 ea eb 09 eb 09 eb 09 | 09 e3 aa 09 09 09 42 a9 |........|......B.|
|000015c0| b1 ea 09 b2 db aa 09 b1 | ea eb 09 eb 47 00 46 47 |........|....G.FG|
|000015d0| 00 00 00 42 3f 07 b0 b0 | b0 09 09 09 eb 09 09 09 |...B?...|........|
|000015e0| eb 09 44 09 eb 09 09 eb | 09 44 09 09 09 09 09 09 |..D.....|.D......|
|000015f0| 09 41 aa ea 09 09 e3 a3 | e3 44 09 b1 aa b1 eb e3 |.A......|.D......|
|00001600| 46 09 09 46 00 00 46 00 | 00 00 00 42 40 07 b0 b0 |F..F..F.|...B@...|
|00001610| b7 ea 44 09 09 09 eb 09 | 09 09 09 09 ea 44 ea 09 |..D.....|.....D..|
|00001620| 09 09 09 eb 09 45 09 eb | 09 db aa eb 09 eb b1 aa |.....E..|........|
|00001630| 09 09 ea b1 aa 09 09 09 | 09 09 46 46 47 00 46 00 |........|..FFG.F.|
|00001640| 00 00 00 42 40 3e b0 b0 | b0 09 09 eb 09 09 09 09 |...B@>..|........|
|00001650| eb 09 eb 09 09 ea 44 09 | eb ea 09 ea 09 09 09 09 |......D.|........|
|00001660| ea b1 b2 09 09 09 aa aa | 09 eb 09 aa aa 09 46 09 |........|......F.|
|00001670| 46 09 eb 47 00 00 46 00 | 00 00 00 42 40 07 af b0 |F..G..F.|...B@...|
|00001680| b8 ea 09 09 09 eb ea 44 | 09 09 09 09 eb 09 ea 09 |.......D|........|
|00001690| 09 44 ea 44 09 eb 09 45 | 09 b1 b9 ea eb 09 aa b1 |.D.D...E|........|
|000016a0| eb 09 ea aa aa 09 09 eb | eb eb 46 47 00 00 46 47 |........|..FG..FG|
|000016b0| 00 00 00 42 3f 07 b0 b0 | b7 ea eb 09 09 aa b1 ea |...B?...|........|
|000016c0| 09 eb 09 45 09 09 44 ea | eb 09 09 09 eb 09 09 09 |...E..D.|........|
|000016d0| eb aa e3 09 09 09 e3 09 | 09 09 44 aa e3 45 ea eb |........|..D..E..|
|000016e0| 09 09 46 00 00 00 46 00 | 00 00 00 42 40 07 af b0 |..F...F.|...B@...|
|000016f0| 41 09 09 44 aa a9 a3 09 | ea 09 09 09 eb ea ea 09 |A..D....|........|
|00001700| 09 09 eb 09 ea ea 45 eb | 09 aa 09 09 45 09 45 09 |......E.|....E.E.|
|00001710| 46 ea 09 09 eb 09 44 09 | 46 eb 47 00 00 00 46 00 |F.....D.|F.G...F.|
|00001720| 00 00 00 41 40 07 b0 b0 | 09 eb ea db aa b9 aa b1 |...A@...|........|
|00001730| 45 eb eb ea aa aa aa aa | aa a9 aa aa 41 eb 09 ea |E.......|....A...|
|00001740| 09 aa 45 eb ea eb 09 eb | 09 45 eb 09 46 eb f2 09 |..E.....|.E..F...|
|00001750| eb 46 47 00 00 00 47 47 | 00 00 00 42 40 3e b0 b0 |.FG...GG|...B@>..|
|00001760| eb ea 42 aa aa ea aa aa | 09 09 09 ea b9 b1 aa aa |..B.....|........|
|00001770| aa aa aa aa 09 09 eb 45 | 09 aa 09 09 43 ea 09 eb |.......E|....C...|
|00001780| 09 eb 09 eb 09 09 09 eb | 09 47 47 00 00 00 46 00 |........|.GG...F.|
|00001790| 00 00 00 42 3f b0 b0 b7 | 09 b9 aa a2 09 eb b9 aa |...B?...|........|
|000017a0| e3 45 09 46 09 eb 09 09 | 09 09 eb 09 eb 45 09 eb |.E.F....|.....E..|
|000017b0| 09 aa 09 e3 b1 b1 aa aa | aa aa aa aa aa eb 46 ea |........|......F.|
|000017c0| 45 47 00 00 00 00 46 00 | 00 00 00 42 40 b0 b0 b0 |EG....F.|...B@...|
|000017d0| ea a9 aa b9 09 09 09 aa | aa ea 09 eb aa a9 aa aa |........|........|
|000017e0| aa aa aa aa f1 eb 09 ea | 42 aa eb 09 eb 09 46 ea |........|B.....F.|
|000017f0| 09 09 45 09 eb 09 eb 45 | f2 47 00 00 00 00 46 00 |..E....E|.G....F.|
|00001800| 00 00 00 42 3f b7 b0 b7 | 46 09 eb 09 46 09 09 e3 |...B?...|F...F...|
|00001810| b8 45 eb ea b2 b1 aa aa | aa aa aa b1 eb 09 46 eb |.E......|......F.|
|00001820| e3 aa 09 eb 09 eb eb 45 | f2 eb f2 09 45 eb 09 eb |.......E|....E...|
|00001830| 46 47 00 00 00 00 47 47 | 00 00 00 41 3f af b0 b8 |FG....GG|...A?...|
|00001840| eb eb 09 09 eb eb 46 09 | 09 eb 09 09 09 eb 46 09 |......F.|......F.|
|00001850| 09 09 eb 09 09 eb 09 ea | b2 b1 09 45 aa aa 09 09 |........|...E....|
|00001860| eb 09 09 eb f2 09 45 eb | 47 00 00 00 00 00 46 00 |......E.|G.....F.|
|00001870| 00 00 00 42 3f b0 b0 b8 | ea 09 09 46 09 09 09 eb |...B?...|...F....|
|00001880| 46 09 eb 09 46 09 eb 09 | eb 46 09 eb 46 09 eb 46 |F...F...|.F..F..F|
|00001890| b1 e3 eb e3 aa e2 eb 46 | 09 45 eb 46 09 eb f2 46 |.......F|.E.F...F|
|000018a0| 47 00 00 00 00 00 46 00 | 00 00 00 42 b8 b0 b0 09 |G.....F.|...B....|
|000018b0| 09 46 eb eb 09 46 eb 09 | eb 09 46 eb eb 09 09 46 |.F...F..|..F....F|
|000018c0| eb 09 46 09 eb eb 09 eb | b1 b9 eb b1 aa 42 eb eb |..F.....|.....B..|
|000018d0| eb f1 eb eb f2 eb 09 46 | 00 00 00 00 00 00 46 00 |.......F|......F.|
|000018e0| 00 00 00 41 3f b0 b0 46 | eb 09 09 eb 09 eb 09 45 |...A?..F|.......E|
|000018f0| f2 09 eb 09 45 f2 eb 09 | 09 eb eb eb ea 44 f2 09 |....E...|.....D..|
|00001900| aa 09 ea aa aa e3 42 09 | eb eb 09 45 09 46 eb 47 |......B.|...E.F.G|
|00001910| 47 00 00 00 00 00 47 47 | 00 00 00 41 3e b0 b0 09 |G.....GG|...A>...|
|00001920| 09 eb 46 09 eb 46 09 eb | 09 eb 09 09 eb 09 09 eb |..F..F..|........|
|00001930| 45 09 09 f2 44 eb 09 eb | aa eb eb aa aa aa aa aa |E...D...|........|
|00001940| aa b9 eb f2 eb eb 46 47 | 00 00 00 00 00 00 46 00 |......FG|......F.|
|00001950| 00 00 00 42 b7 b0 b0 eb | 46 09 eb 09 09 eb 09 eb |...B....|F.......|
|00001960| 09 45 09 46 eb 09 46 09 | f2 eb 46 eb 09 f1 45 eb |.E.F..F.|..F...E.|
|00001970| aa 09 42 aa b2 eb 09 f2 | 44 09 eb eb 09 f2 46 00 |..B.....|D.....F.|
|00001980| 00 00 00 00 00 00 46 00 | 00 00 00 42 b0 b0 b7 eb |......F.|...B....|
|00001990| 09 eb 09 45 f2 eb 09 46 | eb f2 eb ea 09 46 eb eb |...E...F|.....F..|
|000019a0| 09 09 eb 09 46 eb eb 09 | aa eb b1 aa 09 eb eb 09 |....F...|........|
|000019b0| eb f2 09 46 46 eb 47 47 | 00 00 00 00 00 00 46 00 |...FF.GG|......F.|
|000019c0| 00 00 00 42 b7 b0 e1 45 | eb f2 09 eb 09 46 09 eb |...B...E|.....F..|
|000019d0| 09 09 eb 45 eb eb 09 46 | eb 45 f2 09 eb 09 eb ea |...E...F|.E......|
|000019e0| aa f2 aa aa aa aa aa aa | aa eb f2 eb eb 46 47 00 |........|.....FG.|
|000019f0| 00 00 00 00 00 00 47 47 | 00 00 00 43 b0 b0 b8 eb |......GG|...C....|
|00001a00| f2 09 eb 46 09 eb f2 45 | eb 45 09 f2 09 09 f2 eb |...F...E|.E......|
|00001a10| 09 eb eb 46 09 f2 45 42 | aa eb 09 eb f2 09 43 42 |...F..EB|......CB|
|00001a20| e3 46 09 eb f2 46 47 00 | 00 00 00 00 00 00 46 00 |.F...FG.|......F.|
|00001a30| 00 00 00 42 b0 b0 09 09 | 09 46 09 eb eb 46 09 eb |...B....|.F...F..|
|00001a40| 09 f2 eb 09 eb 46 eb 09 | f2 45 09 eb eb 46 09 e3 |.....F..|.E...F..|
|00001a50| b1 eb eb f2 eb eb f2 eb | eb 45 f2 45 eb 46 00 00 |........|.E.E.F..|
|00001a60| 00 00 00 00 00 00 46 00 | 00 00 00 43 b0 b0 09 45 |......F.|...C...E|
|00001a70| eb eb 09 f2 09 eb ea 45 | eb 09 09 46 eb 09 09 45 |.......E|...F...E|
|00001a80| eb 09 f2 09 46 eb eb b2 | aa aa aa aa b1 b1 dc b9 |....F...|........|
|00001a90| e3 e3 eb eb f2 47 00 00 | 00 00 00 00 00 00 46 00 |.....G..|......F.|
|00001aa0| 00 00 00 44 b7 b0 eb f2 | 09 eb 46 09 46 eb 45 f1 |...D....|..F.F.E.|
|00001ab0| eb 46 eb eb f2 46 eb f2 | eb 46 eb eb eb 09 f2 ea |.F...F..|.F......|
|00001ac0| 44 f2 ea 45 eb 44 09 42 | 09 41 09 eb 46 47 00 00 |D..E.D.B|.A..FG..|
|00001ad0| 00 00 00 00 00 00 47 47 | 00 00 00 44 42 e1 43 eb |......GG|...DB.C.|
|00001ae0| 45 09 eb eb eb 09 eb eb | 09 eb 09 eb 09 eb 09 eb |E.......|........|
|00001af0| 09 eb 09 f2 09 f2 45 eb | f2 eb 46 f1 eb f2 eb f2 |......E.|..F.....|
|00001b00| 46 eb eb 46 46 00 00 00 | 00 00 00 00 00 00 46 00 |F..FF...|......F.|
|00001b10| 00 00 00 45 43 b9 3e 45 | 45 45 45 45 45 45 45 45 |...EC.>E|EEEEEEEE|
|00001b20| 45 45 46 45 44 eb 45 45 | 45 eb 46 eb 45 eb eb eb |EEFED.EE|E.F.E...|
|00001b30| 09 eb eb eb eb ea eb 46 | ea eb 46 f2 47 00 00 00 |.......F|..F.G...|
|00001b40| 00 00 00 00 00 00 46 00 | 00 00 00 45 43 41 40 47 |......F.|...ECA@G|
|00001b50| 47 47 46 46 46 47 46 46 | 46 46 46 45 46 45 45 46 |GGFFFGFF|FFFEFEEF|
|00001b60| 45 45 45 45 45 45 45 45 | 45 45 45 45 45 45 46 eb |EEEEEEEE|EEEEEEF.|
|00001b70| 45 f2 eb 46 00 00 00 00 | 00 00 00 00 00 00 47 00 |E..F....|......G.|
|00001b80| 00 00 00 45 45 43 41 47 | 00 47 00 47 47 47 47 47 |...EECAG|.G.GGGGG|
|00001b90| 47 47 47 47 47 47 47 46 | 47 47 46 47 46 46 47 46 |GGGGGGGF|GGFGFFGF|
|00001ba0| 46 46 45 46 45 46 45 46 | 46 46 47 47 00 00 00 00 |FFEFEFEF|FFGG....|
|00001bb0| 00 00 00 00 00 00 47 00 | 00 00 00 47 45 45 44 00 |......G.|...GEED.|
|00001bc0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001bd0| 00 47 00 47 00 47 47 47 | 47 47 47 47 47 47 47 47 |.G.G.GGG|GGGGGGGG|
|00001be0| 47 00 00 00 00 00 00 00 | 00 00 00 00 00 00 47 00 |G.......|......G.|
|00001bf0| 00 00 00 47 47 46 45 00 | 00 00 00 00 00 00 00 00 |...GGFE.|........|
|00001c00| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001c10| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00001c20| 00 00 00 00 00 00 00 00 | 00 00 00 00 47 47 47 47 |........|....GGGG|
|00001c30| 46 47 46 46 47 46 46 46 | 47 46 46 46 46 46 46 46 |FGFFGFFF|GFFFFFFF|
|00001c40| 46 46 46 46 46 46 46 47 | 46 46 46 47 46 46 46 46 |FFFFFFFG|FFFGFFFF|
|00001c50| 46 46 46 47 46 47 46 47 | 46 46 47 47 47 00 00 00 |FFFGFGFG|FFGGG...|
|00001c60| 00 00 00 00 00 00 47 47 | 47 47 00 47 47 00 47 47 |......GG|GG.GG.GG|
|00001c70| 47 00 47 00 00 47 00 47 | 00 47 00 47 00 47 47 47 |G.G..G.G|.G.G.GGG|
|00001c80| 47 00 47 47 47 00 47 00 | 47 00 47 47 47 47 47 47 |G.GGG.G.|G.GGGGGG|
|00001c90| 00 47 00 47 00 00 00 00 | 00 00 00 13 1b 01 40 44 |.G.G....|......@D|
|00001ca0| 60 00 00 00 2d 00 00 00 | 47 01 00 00 5d 00 00 00 |`...-...|G...]...|
|00001cb0| 60 00 00 00 40 00 00 00 | 00 00 00 00 a3 00 00 00 |`...@...|........|
|00001cc0| 00 00 00 00 00 00 00 08 | 00 00 00 08 00 00 00 00 |........|........|
|00001cd0| 00 00 00 e7 00 00 00 e7 | 00 00 00 30 00 00 00 e7 |........|...0....|
|00001ce0| 00 00 00 30 00 00 00 01 | 1e 2b 31 30 2e 34 2e 37 |...0....|.+10.4.7|
|00001cf0| 20 44 65 74 65 72 6d 69 | 6e 69 6e 67 20 52 6f 6f | Determi|ning Roo|
|00001d00| 74 73 20 6f 66 20 53 6d | 61 6c 6c 20 46 75 6e 63 |ts of Sm|all Func|
|00001d10| 74 69 6f 6e 73 01 28 00 | 01 00 00 00 00 2b 00 00 |tions.(.|.....+..|
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|00002a80| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00002a90| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
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|00002b00| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
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|00002ed0| 73 75 70 70 6f 73 65 20 | 77 65 20 73 65 65 6b 20 |suppose |we seek |
|00002ee0| 74 68 65 20 72 6f 6f 74 | 73 20 6f 66 20 70 28 7a |the root|s of p(z|
|00002ef0| 29 2e 20 20 57 65 20 6b | 6e 6f 77 20 74 68 65 72 |).  We k|now ther|
|00002f00| 65 20 61 72 65 20 74 68 | 72 65 65 20 73 75 63 68 |e are th|ree such|
|00002f10| 20 72 6f 6f 74 73 2e 20 | 20 41 20 6c 6f 6f 6b 20 | roots. | A look |
|00002f20| 61 74 20 61 20 70 6f 72 | 74 69 6f 6e 20 6f 66 20 |at a por|tion of |
|00002f30| 74 68 65 20 67 72 61 70 | 68 20 6f 66 20 70 28 7a |the grap|h of p(z|
|00002f40| 29 20 72 65 76 65 61 6c | 73 01 28 00 00 74 00 00 |) reveal|s.(..t..|
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|00002f90| 00 00 40 4d 40 51 2d 01 | 00 00 00 40 52 29 40 4c |..@M@Q-.|...@R)@L|
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|00002fd0| 00 00 00 40 56 29 40 4c | 7f 00 05 30 2c 30 2c 30 |...@V)@L|...0,0,0|
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|00002ff0| 40 4c 7b 01 00 00 00 00 | 05 30 2c 30 2c 30 00 00 |@L{.....|.0,0,0..|
|00003000| 00 00 40 55 40 59 2d 01 | 00 00 00 40 5a 29 40 4c |..@U@Y-.|...@Z)@L|
|00003010| 7f 00 05 30 2c 30 2c 30 | 00 00 00 00 40 57 40 5b |...0,0,0|....@W@[|
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|00003030| 05 30 2c 30 2c 30 00 00 | 00 00 40 59 40 5d 2d 09 |.0,0,0..|..@Y@]-.|
|00003040| 00 00 00 40 5e 29 40 4c | 7f 00 05 30 2c 30 2c 30 |...@^)@L|...0,0,0|
|00003050| 00 00 00 00 40 5b 00 40 | 5d 40 4d 01 2a 01 00 00 |....@[.@|]@M.*...|
|00003060| 00 00 7d 00 00 00 40 5f | 2d 7d 00 00 00 40 60 2b |..}...@_|-}...@`+|
|00003070| 00 ff ff ff ff ff ff ff | ff ff ff ff ff 00 00 00 |........|........|
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|000030c0| 72 6d 61 6c 0f 54 69 6d | 65 73 20 4e 65 77 20 52 |rmal.Tim|es New R|
|000030d0| 6f 6d 61 6e ff ff ff 0c | 00 00 00 00 00 00 00 00 |oman....|........|
|000030e0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 40 |........|.......@|
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|00003100| 00 38 02 00 00 20 00 00 | 00 40 01 00 00 00 00 00 |.8... ..|.@......|
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|00003230| 31 40 7a 31 9f c1 00 00 | 80 40 75 40 7b 31 00 0f |1@z1....|.@u@{1..|
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|00003250| 6c 5f 40 7c 31 00 0f 00 | 00 a4 40 7a 00 00 10 09 |l_@|1...|..@z....|
|00003260| 5f 6e 5f 75 5f 6c 5f 6c | 5f 40 7d 31 02 0f 00 00 |_n_u_l_l|_@}1....|
|00003270| a4 40 74 00 00 02 01 7a | 40 7e 11 00 00 00 00 02 |.@t....z|@~......|
|00003280| 03 00 00 00 02 00 00 00 | 22 00 00 00 18 00 00 00 |........|".......|
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|000032a0| 00 00 00 00 01 1a 44 00 | 00 00 00 01 00 00 00 00 |......D.|........|
|000032b0| 00 00 00 00 00 01 17 01 | 00 1f 0f 01 01 17 01 01 |........|........|
|000032c0| 1f 02 01 17 03 02 1f 03 | 01 17 04 03 1f 04 01 17 |........|........|
|000032d0| 01 04 1f 05 01 17 02 05 | 1f 06 01 17 03 06 1f 07 |........|........|
|000032e0| 01 17 04 00 1f 08 01 17 | 01 01 1f 09 01 17 02 02 |........|........|
|000032f0| 1f 0a 01 17 03 03 1f 0b | 01 17 04 04 1f 0c 01 17 |........|........|
|00003300| 01 05 1f 0d 01 17 02 06 | 1f 0e 01 17 03 00 1f 0f |........|........|
|00003310| 01 17 04 01 1f 00 00 00 | 00 00 00 00 00 40 7f 1b |........|.....@..|
|00003320| 01 40 44 08 00 00 00 49 | 02 00 00 a0 01 00 00 95 |.@D....I|........|
|00003330| 02 00 00 08 00 00 00 58 | 02 00 00 00 00 00 00 4b |.......X|.......K|
|00003340| 00 00 00 00 00 00 00 00 | 00 00 08 00 00 00 08 00 |........|........|
|00003350| 00 00 00 00 00 00 99 01 | 00 00 98 01 00 00 4c 00 |........|......L.|
|00003360| 00 00 98 01 00 00 4c 00 | 00 00 01 1e 40 d8 46 72 |......L.|....@.Fr|
|00003370| 6f 6d 20 6f 75 72 20 62 | 61 73 69 63 20 6b 6e 6f |om our b|asic kno|
|00003380| 77 6c 65 64 67 65 20 6f | 66 20 63 75 62 69 63 73 |wledge o|f cubics|
|00003390| 20 61 6e 64 20 65 78 70 | 6f 6e 65 6e 74 69 61 6c | and exp|onential|
|000033a0| 73 2c 20 77 65 20 6b 6e | 6f 77 20 74 68 65 20 63 |s, we kn|ow the c|
|000033b0| 75 72 76 65 20 73 68 6f | 6f 74 73 20 6f 66 66 20 |urve sho|ots off |
|000033c0| 74 6f 20 69 6e 66 69 6e | 69 74 79 20 69 6e 20 62 |to infin|ity in b|
|000033d0| 6f 74 68 20 64 69 72 65 | 63 74 69 6f 6e 73 20 73 |oth dire|ctions s|
|000033e0| 6f 20 69 74 20 61 70 70 | 65 61 72 73 20 74 68 61 |o it app|ears tha|
|000033f0| 74 20 74 68 65 72 65 20 | 61 72 65 20 74 77 6f 20 |t there |are two |
|00003400| 72 6f 6f 74 73 20 6e 65 | 61 72 20 30 20 61 6e 64 |roots ne|ar 0 and|
|00003410| 20 6f 6e 65 20 72 6f 6f | 74 20 6e 65 61 72 20 31 | one roo|t near 1|
|00003420| 2e 20 20 57 65 27 6c 6c | 20 73 74 61 72 74 20 77 |.  We'll| start w|
|00003430| 69 74 68 20 74 68 65 20 | 72 6f 6f 74 20 66 75 6e |ith the |root fun|
|00003440| 63 74 69 6f 6e 3a 01 28 | 00 00 cf 00 00 00 00 00 |ction:.(|........|
|00003450| 00 00 ca 00 00 00 d8 00 | 00 00 40 80 2d ca 00 00 |........|..@.-...|
|00003460| 00 40 81 29 40 7f 7f 00 | 05 30 2c 30 2c 30 00 00 |.@.)@...|.0,0,0..|
|00003470| 00 00 00 40 82 2d 05 00 | 00 00 40 83 29 40 7f 7d |...@.-..|..@.)@.}|
|00003480| 01 00 00 00 00 05 30 2c | 30 2c 30 00 00 00 00 40 |......0,|0,0....@|
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|000034a0| 30 2c 30 2c 30 00 00 00 | 00 40 82 00 40 84 40 80 |0,0,0...|.@..@.@.|
|000034b0| 01 2a 01 00 00 00 00 d8 | 00 00 00 40 86 2d d8 00 |.*......|...@.-..|
|000034c0| 00 00 40 87 2b 00 ff ff | ff ff ff ff ff ff ff ff |..@.+...|........|
|000034d0| ff ff 00 00 00 00 00 00 | 01 22 01 00 00 00 00 00 |........|."......|
|000034e0| 00 00 00 40 88 2d 00 00 | 00 00 00 00 00 01 20 01 |...@.-..|...... .|
|000034f0| 00 00 00 00 d8 00 00 00 | 40 89 2d d8 00 00 00 40 |........|@.-....@|
|00003500| 8a 21 ff ff ff ff 00 00 | 40 07 02 00 00 00 00 00 |.!......|@.......|
|00003510| 00 00 06 4e 6f 72 6d 61 | 6c 0f 54 69 6d 65 73 20 |...Norma|l.Times |
|00003520| 4e 65 77 20 52 6f 6d 61 | 6e ff ff ff 0c 00 00 00 |New Roma|n.......|
|00003530| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003540| 00 00 00 00 40 8b 33 01 | 40 44 30 00 00 00 a0 02 |....@.3.|@D0.....|
|00003550| 00 00 79 00 00 00 bb 02 | 00 00 64 00 00 00 b0 02 |..y.....|..d.....|
|00003560| 00 00 00 00 00 00 4e 00 | 00 00 00 00 00 00 00 00 |......N.|........|
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|00003580| 00 00 80 40 8c 40 8e 31 | 02 0f 00 00 64 40 8d 00 |...@.@.1|....d@..|
|00003590| 00 08 07 7a 2e 67 75 65 | 73 73 40 8f 31 02 0f 00 |...z.gue|ss@.1...|
|000035a0| 00 b4 40 8d 00 00 10 01 | 01 31 00 00 00 00 00 00 |..@.....|.1......|
|000035b0| 00 00 40 90 33 01 40 44 | 30 00 00 00 c8 02 00 00 |..@.3.@D|0.......|
|000035c0| f0 00 00 00 e3 02 00 00 | 46 00 00 00 d8 02 00 00 |........|F.......|
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|000035f0| 80 40 91 40 93 31 02 0f | 00 00 64 40 92 00 00 03 |.@.@.1..|..d@....|
|00003600| 02 72 31 40 94 31 12 ce | 00 00 80 40 92 40 95 31 |.r1@.1..|...@.@.1|
|00003610| 02 0f 00 00 64 40 94 00 | 00 05 04 72 6f 6f 74 40 |....d@..|...root@|
|00003620| 96 31 8e 70 00 00 80 40 | 94 00 40 97 31 0a c3 00 |.1.p...@|..@.1...|
|00003630| 00 80 40 96 40 98 31 12 | ce 00 00 40 40 97 40 99 |..@.@.1.|...@@.@.|
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|00003650| 8e 70 00 00 80 40 98 00 | 40 9b 31 02 0f 00 00 a4 |.p...@..|@.1.....|
|00003660| 40 9a 00 00 08 07 7a 2e | 67 75 65 73 73 40 9c 31 |@.....z.|guess@.1|
|00003670| 02 0f 00 00 a4 40 97 00 | 00 08 07 7a 2e 67 75 65 |.....@..|...z.gue|
|00003680| 73 73 00 00 00 00 00 00 | 00 00 40 9d 33 01 40 44 |ss......|..@.3.@D|
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|000036f0| 00 01 00 01 00 00 00 12 | 53 65 72 69 61 6c 5f 44 |........|Serial_D|
|00003700| 69 73 70 6c 61 79 4e 6f | 64 65 00 00 00 00 00 00 |isplayNo|de......|
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|00003740| 00 00 af 01 00 00 05 03 | 00 00 d4 00 00 00 00 03 |........|........|
|00003750| 00 00 00 00 00 00 54 00 | 00 00 00 00 00 00 00 00 |......T.|........|
|00003760| 00 40 a5 31 0d 70 00 00 | 00 00 00 40 a6 31 8c c1 |.@.1.p..|...@.1..|
|00003770| 00 00 80 40 a5 40 a7 31 | 12 ce 00 00 40 40 a6 40 |...@.@.1|....@@.@|
|00003780| a8 31 02 0f 00 00 64 40 | a7 00 00 02 01 70 40 a9 |.1....d@|.....p@.|
|00003790| 31 8e 70 00 00 80 40 a7 | 00 40 aa 31 02 0f 00 00 |1.p...@.|.@.1....|
|000037a0| a4 40 a9 00 00 03 02 72 | 31 40 ab 31 96 c4 00 00 |.@.....r|1@.1....|
|000037b0| 81 40 a6 40 ac 31 2b 0f | 00 00 40 40 ab 00 00 01 |.@.@.1+.|..@@....|
|000037c0| 40 46 00 40 ad 31 00 0f | 00 00 a4 40 ab 00 00 10 |@F.@.1..|...@....|
|000037d0| 09 5f 6e 5f 75 5f 6c 5f | 6c 5f ff 4a 00 00 00 00 |._n_u_l_|l_.J....|
|000037e0| 00 00 00 00 00 00 40 ae | 1b 01 40 44 08 00 00 00 |......@.|..@D....|
|000037f0| 11 03 00 00 da 00 00 00 | 24 03 00 00 08 00 00 00 |........|$.......|
|00003800| 20 03 00 00 00 00 00 00 | 51 00 00 00 00 00 00 00 | .......|Q.......|
|00003810| 00 00 00 08 00 00 00 08 | 00 00 00 00 00 00 00 90 |........|........|
|00003820| 01 00 00 d2 00 00 00 13 | 00 00 00 d2 00 00 00 13 |........|........|
|00003830| 00 00 00 01 1e 23 73 6f | 20 74 68 65 20 72 6f 6f |.....#so| the roo|
|00003840| 74 20 6e 65 61 72 20 31 | 20 61 70 70 65 61 72 73 |t near 1| appears|
|00003850| 20 74 6f 20 62 65 20 31 | 2e 01 28 00 01 00 00 00 | to be 1|..(.....|
|00003860| 00 23 00 00 00 40 af 2d | 23 00 00 00 40 b0 29 40 |.#...@.-|#...@.)@|
|00003870| ae 7f 00 05 30 2c 30 2c | 30 00 00 00 00 00 00 01 |....0,0,|0.......|
|00003880| 2a 01 00 00 00 00 23 00 | 00 00 40 b1 2d 23 00 00 |*.....#.|..@.-#..|
|00003890| 00 40 b2 2b 00 ff ff ff | ff ff ff ff ff ff ff ff |.@.+....|........|
|000038a0| ff 00 00 00 00 00 00 01 | 22 01 00 00 00 00 00 00 |........|".......|
|000038b0| 00 00 40 b3 2d 00 00 00 | 00 00 00 00 01 20 01 00 |..@.-...|..... ..|
|000038c0| 00 00 00 23 00 00 00 40 | b4 2d 23 00 00 00 40 b5 |...#...@|.-#...@.|
|000038d0| 21 ff ff ff ff 00 00 40 | 07 02 00 00 00 00 00 00 |!......@|........|
|000038e0| 00 06 4e 6f 72 6d 61 6c | 0f 54 69 6d 65 73 20 4e |..Normal|.Times N|
|000038f0| 65 77 20 52 6f 6d 61 6e | ff ff ff 0c 00 00 00 00 |ew Roman|........|
|00003900| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003910| 00 00 00 40 b6 00 01 00 | 00 00 09 50 61 67 65 42 |...@....|...PageB|
|00003920| 72 65 61 6b 00 00 00 00 | 00 00 35 00 00 00 01 40 |reak....|..5....@|
|00003930| 44 00 00 00 00 30 03 00 | 00 40 1f 00 00 38 03 00 |D....0..|.@...8..|
|00003940| 00 00 00 00 00 30 03 00 | 00 00 00 00 00 55 00 00 |.....0..|.....U..|
|00003950| 00 00 00 00 00 00 00 00 | 40 b7 1b 01 40 44 08 00 |........|@...@D..|
|00003960| 00 00 39 03 00 00 66 00 | 00 00 4c 03 00 00 08 00 |..9...f.|..L.....|
|00003970| 00 00 48 03 00 00 00 00 | 00 00 56 00 00 00 00 00 |..H.....|..V.....|
|00003980| 00 00 00 00 00 08 00 00 | 00 08 00 00 00 00 00 00 |........|........|
|00003990| 00 13 02 00 00 5e 00 00 | 00 13 00 00 00 5e 00 00 |.....^..|.....^..|
|000039a0| 00 13 00 00 00 01 1e 11 | 4c 65 74 27 73 20 74 72 |........|Let's tr|
|000039b0| 79 20 6e 65 61 72 20 30 | 3a 01 28 00 01 00 00 00 |y near 0|:.(.....|
|000039c0| 00 11 00 00 00 40 b8 2d | 11 00 00 00 40 b9 29 40 |.....@.-|....@.)@|
|000039d0| b7 7f 00 05 30 2c 30 2c | 30 00 00 00 00 00 00 01 |....0,0,|0.......|
|000039e0| 2a 01 00 00 00 00 11 00 | 00 00 40 ba 2d 11 00 00 |*.......|..@.-...|
|000039f0| 00 40 bb 2b 00 ff ff ff | ff ff ff ff ff ff ff ff |.@.+....|........|
|00003a00| ff 00 00 00 00 00 00 01 | 22 01 00 00 00 00 00 00 |........|".......|
|00003a10| 00 00 40 bc 2d 00 00 00 | 00 00 00 00 01 20 01 00 |..@.-...|..... ..|
|00003a20| 00 00 00 11 00 00 00 40 | bd 2d 11 00 00 00 40 be |.......@|.-....@.|
|00003a30| 21 ff ff ff ff 00 00 40 | 07 02 00 00 00 00 00 00 |!......@|........|
|00003a40| 00 06 4e 6f 72 6d 61 6c | 0f 54 69 6d 65 73 20 4e |..Normal|.Times N|
|00003a50| 65 77 20 52 6f 6d 61 6e | ff ff ff 0c 00 00 00 00 |ew Roman|........|
|00003a60| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003a70| 00 00 00 40 bf 33 01 40 | 44 30 00 00 00 58 03 00 |...@.3.@|D0...X..|
|00003a80| 00 85 00 00 00 73 03 00 | 00 64 00 00 00 68 03 00 |.....s..|.d...h..|
|00003a90| 00 00 00 00 00 62 00 00 | 00 00 00 00 00 00 00 00 |.....b..|........|
|00003aa0| 40 c0 31 0d 70 00 00 00 | 00 00 40 c1 31 0b c1 00 |@.1.p...|..@.1...|
|00003ab0| 00 80 40 c0 40 c2 31 02 | 0f 00 00 64 40 c1 00 00 |..@.@.1.|...d@...|
|00003ac0| 08 07 7a 2e 67 75 65 73 | 73 40 c3 31 02 0f 00 00 |..z.gues|s@.1....|
|00003ad0| b4 40 c1 00 00 10 01 03 | 30 2e 31 00 00 00 00 00 |.@......|0.1.....|
|00003ae0| 00 00 00 40 c4 33 01 40 | 44 30 00 00 00 80 03 00 |...@.3.@|D0......|
|00003af0| 00 f0 00 00 00 9b 03 00 | 00 46 00 00 00 90 03 00 |........|.F......|
|00003b00| 00 00 00 00 00 63 00 00 | 00 00 00 00 00 00 00 00 |.....c..|........|
|00003b10| 40 c5 31 0d 70 00 00 00 | 00 00 40 c6 31 0b c1 00 |@.1.p...|..@.1...|
|00003b20| 00 80 40 c5 40 c7 31 02 | 0f 00 00 64 40 c6 00 00 |..@.@.1.|...d@...|
|00003b30| 03 02 72 32 40 c8 31 12 | ce 00 00 80 40 c6 40 c9 |..r2@.1.|....@.@.|
|00003b40| 31 02 0f 00 00 64 40 c8 | 00 00 05 04 72 6f 6f 74 |1....d@.|....root|
|00003b50| 40 ca 31 8e 70 00 00 80 | 40 c8 00 40 cb 31 0a c3 |@.1.p...|@..@.1..|
|00003b60| 00 00 80 40 ca 40 cc 31 | 12 ce 00 00 40 40 cb 40 |...@.@.1|....@@.@|
|00003b70| cd 31 02 0f 00 00 64 40 | cc 00 00 02 01 70 40 ce |.1....d@|.....p@.|
|00003b80| 31 8e 70 00 00 80 40 cc | 00 40 cf 31 02 0f 00 00 |1.p...@.|.@.1....|
|00003b90| a4 40 ce 00 00 08 07 7a | 2e 67 75 65 73 73 40 d0 |.@.....z|.guess@.|
|00003ba0| 31 02 0f 00 00 a4 40 cb | 00 00 08 07 7a 2e 67 75 |1.....@.|....z.gu|
|00003bb0| 65 73 73 00 00 00 00 00 | 00 00 00 40 d1 33 01 40 |ess.....|...@.3.@|
|00003bc0| 44 30 00 00 00 a7 03 00 | 00 b1 00 00 00 c5 03 00 |D0......|........|
|00003bd0| 00 45 00 00 00 c0 03 00 | 00 00 00 00 00 64 00 00 |.E......|.....d..|
|00003be0| 00 00 00 00 00 00 00 00 | 40 d2 31 0d 70 00 00 00 |........|@.1.p...|
|00003bf0| 00 00 40 d3 31 8c c1 00 | 00 80 40 d2 40 d4 31 02 |..@.1...|..@.@.1.|
|00003c00| 0f 00 00 64 40 d3 00 00 | 03 02 72 32 40 d5 31 96 |...d@...|..r2@.1.|
|00003c10| c4 00 00 80 40 d3 40 d6 | 31 2b 0f 00 00 40 40 d5 |....@.@.|1+...@@.|
|00003c20| 00 00 01 40 46 00 40 d7 | 31 00 0f 00 00 a4 40 d5 |...@F.@.|1.....@.|
|00003c30| 00 00 10 09 5f 6e 5f 75 | 5f 6c 5f 6c 5f 00 00 00 |...._n_u|_l_l_...|
|00003c40| 00 00 00 00 00 40 d8 33 | 01 40 44 d0 00 00 00 a7 |.....@.3|.@D.....|
|00003c50| 03 00 00 c7 01 00 00 c5 | 03 00 00 fc 00 00 00 c0 |........|........|
|00003c60| 03 00 00 00 00 00 00 95 | 00 00 00 00 00 00 00 00 |........|........|
|00003c70| 00 00 40 d9 31 0d 70 00 | 00 00 00 00 40 da 31 8c |..@.1.p.|....@.1.|
|00003c80| c1 00 00 80 40 d9 40 db | 31 12 ce 00 00 40 40 da |....@.@.|1....@@.|
|00003c90| 40 dc 31 02 0f 00 00 64 | 40 db 00 00 02 01 70 40 |@.1....d|@.....p@|
|00003ca0| dd 31 8e 70 00 00 80 40 | db 00 40 de 31 02 0f 00 |.1.p...@|..@.1...|
|00003cb0| 00 a4 40 dd 00 00 03 02 | 72 32 40 df 31 96 c4 00 |..@.....|r2@.1...|
|00003cc0| 00 81 40 da 40 e0 31 2b | 0f 00 00 40 40 df 00 00 |..@.@.1+|...@@...|
|00003cd0| 01 40 46 00 40 e1 31 00 | 0f 00 00 a4 40 df 00 00 |.@F.@.1.|....@...|
|00003ce0| 10 09 5f 6e 5f 75 5f 6c | 5f 6c 5f 3f 4a 00 00 00 |.._n_u_l|_l_?J...|
|00003cf0| 00 00 00 00 00 00 00 40 | e2 1b 01 40 44 08 00 00 |.......@|...@D...|
|00003d00| 00 d1 03 00 00 89 01 00 | 00 e4 03 00 00 08 00 00 |........|........|
|00003d10| 00 e0 03 00 00 00 00 00 | 00 5b 00 00 00 00 00 00 |........|.[......|
|00003d20| 00 00 00 00 08 00 00 00 | 08 00 00 00 00 00 00 00 |........|........|
|00003d30| a6 01 00 00 81 01 00 00 | 13 00 00 00 81 01 00 00 |........|........|
|00003d40| 13 00 00 00 01 1e 40 41 | 54 68 65 20 76 61 6c 75 |......@A|The valu|
|00003d50| 65 20 6f 66 20 70 28 72 | 32 29 20 69 73 20 73 6d |e of p(r|2) is sm|
|00003d60| 61 6c 6c 2c 20 62 75 74 | 20 64 6f 20 77 65 20 62 |all, but| do we b|
|00003d70| 65 6c 69 65 76 65 20 77 | 65 27 72 65 20 6e 65 61 |elieve w|e're nea|
|00003d80| 72 20 61 20 72 6f 6f 74 | 3f 01 28 00 00 15 00 00 |r a root|?.(.....|
|00003d90| 00 0a 00 00 00 0b 00 00 | 00 41 00 00 00 40 e3 2d |........|.A...@.-|
|00003da0| 0a 00 00 00 40 e4 29 40 | e2 7f 00 05 30 2c 30 2c |....@.)@|....0,0,|
|00003db0| 30 00 00 00 00 00 40 e5 | 2d 0b 00 00 00 40 e6 29 |0.....@.|-....@.)|
|00003dc0| 40 e2 6b 00 00 00 00 00 | 00 00 00 0f 54 69 6d 65 |@.k.....|....Time|
|00003dd0| 73 20 4e 65 77 20 52 6f | 6d 61 6e 05 30 2c 30 2c |s New Ro|man.0,0,|
|00003de0| 30 00 00 00 00 40 e3 40 | e7 2d 2c 00 00 00 40 e8 |0....@.@|.-,...@.|
|00003df0| 29 40 e2 7f 00 05 30 2c | 30 2c 30 00 00 00 00 40 |)@....0,|0,0....@|
|00003e00| e5 00 40 e7 40 e5 01 2a | 01 00 00 00 00 41 00 00 |..@.@..*|.....A..|
|00003e10| 00 40 e9 2d 41 00 00 00 | 40 ea 2b 00 ff ff ff ff |.@.-A...|@.+.....|
|00003e20| ff ff ff ff ff ff ff ff | 00 00 00 00 00 00 01 22 |........|......."|
|00003e30| 01 00 00 00 00 00 00 00 | 00 40 eb 2d 00 00 00 00 |........|.@.-....|
|00003e40| 00 00 00 01 20 01 00 00 | 00 00 41 00 00 00 40 ec |.... ...|..A...@.|
|00003e50| 2d 41 00 00 00 40 ed 21 | ff ff ff ff 00 00 40 07 |-A...@.!|......@.|
|00003e60| 02 00 00 00 00 00 00 00 | 06 4e 6f 72 6d 61 6c 0f |........|.Normal.|
|00003e70| 54 69 6d 65 73 20 4e 65 | 77 20 52 6f 6d 61 6e ff |Times Ne|w Roman.|
|00003e80| ff ff 0c 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003e90| 00 00 00 00 00 00 00 00 | 00 00 40 ee 1b 01 40 44 |........|..@...@D|
|00003ea0| 08 00 00 00 f1 03 00 00 | 0c 01 00 00 04 04 00 00 |........|........|
|00003eb0| 08 00 00 00 00 04 00 00 | 00 00 00 00 5c 00 00 00 |........|....\...|
|00003ec0| 00 00 00 00 00 00 00 08 | 00 00 00 08 00 00 00 00 |........|........|
|00003ed0| 00 00 00 90 01 00 00 04 | 01 00 00 13 00 00 00 04 |........|........|
|00003ee0| 01 00 00 13 00 00 00 01 | 1e 2c 4c 65 74 27 73 20 |........|.,Let's |
|00003ef0| 6c 6f 6f 6b 20 61 74 20 | 73 6f 6d 65 20 6f 74 68 |look at |some oth|
|00003f00| 65 72 20 76 61 6c 75 65 | 73 20 6f 66 20 70 20 6e |er value|s of p n|
|00003f10| 65 61 72 20 30 3a 01 28 | 00 00 26 00 00 00 1e 00 |ear 0:.(|..&.....|
|00003f20| 00 00 08 00 00 00 2c 00 | 00 00 40 ef 2d 1e 00 00 |......,.|..@.-...|
|00003f30| 00 40 f0 29 40 ee 7f 00 | 05 30 2c 30 2c 30 00 00 |.@.)@...|.0,0,0..|
|00003f40| 00 00 00 40 f1 2d 08 00 | 00 00 40 f2 29 40 ee 6b |...@.-..|..@.)@.k|
|00003f50| 00 00 00 00 00 00 00 00 | 0f 54 69 6d 65 73 20 4e |........|.Times N|
|00003f60| 65 77 20 52 6f 6d 61 6e | 05 30 2c 30 2c 30 00 00 |ew Roman|.0,0,0..|
|00003f70| 00 00 40 ef 40 f3 2d 06 | 00 00 00 40 f4 29 40 ee |..@.@.-.|...@.)@.|
|00003f80| 7f 00 05 30 2c 30 2c 30 | 00 00 00 00 40 f1 00 40 |...0,0,0|....@..@|
|00003f90| f3 40 f1 01 2a 01 00 00 | 00 00 2c 00 00 00 40 f5 |.@..*...|..,...@.|
|00003fa0| 2d 2c 00 00 00 40 f6 2b | 00 ff ff ff ff ff ff ff |-,...@.+|........|
|00003fb0| ff ff ff ff ff 00 00 00 | 00 00 00 01 22 01 00 00 |........|...."...|
|00003fc0| 00 00 00 00 00 00 40 f7 | 2d 00 00 00 00 00 00 00 |......@.|-.......|
|00003fd0| 01 20 01 00 00 00 00 2c | 00 00 00 40 f8 2d 2c 00 |. .....,|...@.-,.|
|00003fe0| 00 00 40 f9 21 ff ff ff | ff 00 00 40 07 02 00 00 |..@.!...|...@....|
|00003ff0| 00 00 00 00 00 06 4e 6f | 72 6d 61 6c 0f 54 69 6d |......No|rmal.Tim|
|00004000| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e ff ff ff 0c |es New R|oman....|
|00004010| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004020| 00 00 00 00 00 00 00 40 | fa 33 01 40 44 30 00 00 |.......@|.3.@D0..|
|00004030| 00 0f 04 00 00 fe 00 00 | 00 2d 04 00 00 83 00 00 |........|.-......|
|00004040| 00 28 04 00 00 00 00 00 | 00 67 00 00 00 00 00 00 |.(......|.g......|
|00004050| 00 00 00 00 40 fb 31 0d | 70 00 00 00 00 00 40 fc |....@.1.|p.....@.|
|00004060| 31 8c c1 00 00 80 40 fb | 40 fd 31 12 ce 00 00 40 |1.....@.|@.1....@|
|00004070| 40 fc 40 fe 31 02 0f 00 | 00 64 40 fd 00 00 02 01 |@.@.1...|.d@.....|
|00004080| 70 40 ff 31 8e 70 00 00 | 80 40 fd 00 41 00 31 02 |p@.1.p..|.@..A.1.|
|00004090| 0f 00 00 b4 40 ff 00 00 | 10 01 07 30 2e 30 30 30 |....@...|...0.000|
|000040a0| 30 31 41 01 31 96 c4 00 | 00 80 40 fc 41 02 31 2b |01A.1...|..@.A.1+|
|000040b0| 0f 00 00 40 41 01 00 00 | 01 40 46 00 41 03 31 00 |...@A...|.@F.A.1.|
|000040c0| 0f 00 00 a4 41 01 00 00 | 10 09 5f 6e 5f 75 5f 6c |....A...|.._n_u_l|
|000040d0| 5f 6c 5f 00 00 00 00 00 | 00 00 00 41 04 33 01 40 |_l_.....|...A.3.@|
|000040e0| 44 08 01 00 00 0f 04 00 | 00 c6 01 00 00 2d 04 00 |D.......|.....-..|
|000040f0| 00 53 01 00 00 28 04 00 | 00 00 00 00 00 93 00 00 |.S...(..|........|
|00004100| 00 00 00 00 00 00 00 00 | 41 05 31 0d 70 00 00 00 |........|A.1.p...|
|00004110| 00 00 41 06 31 8c c1 00 | 00 80 41 05 41 07 31 12 |..A.1...|..A.A.1.|
|00004120| ce 00 00 40 41 06 41 08 | 31 02 0f 00 00 64 41 07 |...@A.A.|1....dA.|
|00004130| 00 00 02 01 70 41 09 31 | 8e 70 00 00 80 41 07 00 |....pA.1|.p...A..|
|00004140| 41 0a 31 02 0f 00 00 b4 | 41 09 00 00 10 01 06 30 |A.1.....|A......0|
|00004150| 2e 30 30 30 31 41 0b 31 | 96 c4 00 00 80 41 06 41 |.0001A.1|.....A.A|
|00004160| 0c 31 2b 0f 00 00 40 41 | 0b 00 00 01 40 46 00 41 |.1+...@A|....@F.A|
|00004170| 0d 31 00 0f 00 00 a4 41 | 0b 00 00 10 09 5f 6e 5f |.1.....A|....._n_|
|00004180| 75 5f 6c 5f 6c 5f 00 00 | 00 00 00 00 00 00 41 0e |u_l_l_..|......A.|
|00004190| 33 01 40 44 30 00 00 00 | 37 04 00 00 f5 00 00 00 |3.@D0...|7.......|
|000041a0| 55 04 00 00 82 00 00 00 | 50 04 00 00 00 00 00 00 |U.......|P.......|
|000041b0| 69 00 00 00 00 00 00 00 | 00 00 00 41 0f 31 0d 70 |i.......|...A.1.p|
|000041c0| 00 00 00 00 00 41 10 31 | 8c c1 00 00 80 41 0f 41 |.....A.1|.....A.A|
|000041d0| 11 31 12 ce 00 00 40 41 | 10 41 12 31 02 0f 00 00 |.1....@A|.A.1....|
|000041e0| 64 41 11 00 00 02 01 70 | 41 13 31 8e 70 00 00 80 |dA.....p|A.1.p...|
|000041f0| 41 11 00 41 14 31 95 4b | 00 00 80 41 13 00 41 15 |A..A.1.K|...A..A.|
|00004200| 31 02 0f 00 00 b4 41 14 | 00 00 10 01 06 30 2e 30 |1.....A.|.....0.0|
|00004210| 30 30 31 41 16 31 96 c4 | 00 00 80 41 10 41 17 31 |001A.1..|...A.A.1|
|00004220| 2b 0f 00 00 40 41 16 00 | 00 01 40 46 00 41 18 31 |+...@A..|..@F.A.1|
|00004230| 00 0f 00 00 a4 41 16 00 | 00 10 09 5f 6e 5f 75 5f |.....A..|..._n_u_|
|00004240| 6c 5f 6c 5f 00 00 00 00 | 00 00 00 00 41 19 33 01 |l_l_....|....A.3.|
|00004250| 40 44 08 01 00 00 37 04 | 00 00 cb 01 00 00 55 04 |@D....7.|......U.|
|00004260| 00 00 50 01 00 00 50 04 | 00 00 00 00 00 00 94 00 |..P...P.|........|
|00004270| 00 00 00 00 00 00 00 00 | 00 41 1a 31 0d 70 00 00 |........|.A.1.p..|
|00004280| 00 00 00 41 1b 31 8c c1 | 00 00 80 41 1a 41 1c 31 |...A.1..|...A.A.1|
|00004290| 12 ce 00 00 40 41 1b 41 | 1d 31 02 0f 00 00 64 41 |....@A.A|.1....dA|
|000042a0| 1c 00 00 02 01 70 41 1e | 31 8e 70 00 00 80 41 1c |.....pA.|1.p...A.|
|000042b0| 00 41 1f 31 06 ca 00 00 | 80 41 1e 41 20 31 02 0f |.A.1....|.A.A 1..|
|000042c0| 00 00 74 41 1f 00 00 10 | 01 01 32 41 21 31 05 fc |..tA....|..2A!1..|
|000042d0| 00 00 80 41 1f 41 22 31 | 02 0f 00 00 74 41 21 00 |...A.A"1|....tA!.|
|000042e0| 00 10 01 02 31 30 41 23 | 31 95 4b 00 00 80 41 21 |....10A#|1.K...A!|
|000042f0| 00 41 24 31 02 0f 00 00 | b4 41 23 00 00 10 01 01 |.A$1....|.A#.....|
|00004300| 38 41 25 31 96 c4 00 00 | 80 41 1b 41 26 31 2b 0f |8A%1....|.A.A&1+.|
|00004310| 00 00 40 41 25 00 00 01 | 40 46 00 41 27 31 00 0f |..@A%...|@F.A'1..|
|00004320| 00 00 a4 41 25 00 00 10 | 09 5f 6e 5f 75 5f 6c 5f |...A%...|._n_u_l_|
|00004330| 6c 5f 00 00 00 00 00 00 | 00 00 41 28 1b 01 40 44 |l_......|..A(..@D|
|00004340| 08 00 00 00 61 04 00 00 | af 01 00 00 d3 04 00 00 |....a...|........|
|00004350| 08 00 00 00 70 04 00 00 | 00 00 00 00 61 00 00 00 |....p...|....a...|
|00004360| 00 00 00 00 00 00 00 08 | 00 00 00 08 00 00 00 00 |........|........|
|00004370| 00 00 00 a8 01 00 00 a7 | 01 00 00 72 00 00 00 a7 |........|...r....|
|00004380| 01 00 00 72 00 00 00 01 | 1e 41 7e 54 68 65 73 65 |...r....|.A~These|
|00004390| 20 67 69 76 65 20 73 6d | 61 6c 6c 20 76 61 6c 75 | give sm|all valu|
|000043a0| 65 73 2c 20 74 6f 6f 2c | 20 73 6f 6d 65 20 73 6d |es, too,| some sm|
|000043b0| 61 6c 6c 65 72 20 74 68 | 61 6e 20 74 68 65 20 72 |aller th|an the r|
|000043c0| 6f 6f 74 20 70 28 72 32 | 29 20 67 61 76 65 2e 20 |oot p(r2|) gave. |
|000043d0| 20 41 72 65 20 74 68 65 | 79 20 61 6c 6c 20 72 6f | Are the|y all ro|
|000043e0| 6f 74 73 3f 20 20 4f 66 | 20 63 6f 75 72 73 65 20 |ots?  Of| course |
|000043f0| 6e 6f 74 2e 20 20 54 68 | 65 20 70 72 6f 62 6c 65 |not.  Th|e proble|
|00004400| 6d 20 69 73 20 74 68 61 | 74 20 74 68 65 20 72 6f |m is tha|t the ro|
|00004410| 6f 74 20 66 69 6e 64 65 | 72 20 73 74 6f 70 73 20 |ot finde|r stops |
|00004420| 77 68 65 6e 20 61 20 6e | 75 6d 62 65 72 20 69 73 |when a n|umber is|
|00004430| 20 66 6f 75 6e 64 20 66 | 6f 72 20 77 68 69 63 68 | found f|or which|
|00004440| 20 74 68 65 20 63 6f 72 | 72 65 73 70 6f 6e 64 69 | the cor|respondi|
|00004450| 6e 67 20 66 75 6e 63 74 | 69 6f 6e 20 76 61 6c 75 |ng funct|ion valu|
|00004460| 65 20 69 73 20 73 6d 61 | 6c 6c 65 72 20 74 68 61 |e is sma|ller tha|
|00004470| 6e 20 54 4f 4c 2e 20 20 | 53 69 6e 63 65 20 74 68 |n TOL.  |Since th|
|00004480| 65 20 66 75 6e 63 74 69 | 6f 6e 20 76 61 6c 75 65 |e functi|on value|
|00004490| 73 20 61 72 65 20 61 6c | 77 61 79 73 20 76 65 72 |s are al|ways ver|
|000044a0| 79 20 73 6d 61 6c 6c 20 | 6e 65 61 72 20 30 2c 20 |y small |near 0, |
|000044b0| 74 68 65 20 72 6f 6f 74 | 20 66 69 6e 64 65 72 20 |the root| finder |
|000044c0| 73 74 6f 70 73 20 70 72 | 65 74 74 79 20 65 61 72 |stops pr|etty ear|
|000044d0| 6c 79 20 69 6e 20 74 68 | 65 20 70 72 6f 63 65 73 |ly in th|e proces|
|000044e0| 73 2c 20 73 6f 20 77 65 | 20 63 61 6e 27 74 20 74 |s, so we| can't t|
|000044f0| 72 75 73 74 20 74 68 65 | 20 6f 75 74 70 75 74 20 |rust the| output |
|00004500| 6f 66 20 72 6f 6f 74 2e | 20 01 28 00 00 7c 01 00 |of root.| .(..|..|
|00004510| 00 34 00 00 00 0e 00 00 | 00 7e 01 00 00 41 29 2d |.4......|.~...A)-|
|00004520| 34 00 00 00 41 2a 29 41 | 28 7f 00 05 30 2c 30 2c |4...A*)A|(...0,0,|
|00004530| 30 00 00 00 00 00 41 2b | 2d 0e 00 00 00 41 2c 29 |0.....A+|-....A,)|
|00004540| 41 28 6b 00 00 00 00 00 | 00 00 00 0f 54 69 6d 65 |A(k.....|....Time|
|00004550| 73 20 4e 65 77 20 52 6f | 6d 61 6e 05 30 2c 30 2c |s New Ro|man.0,0,|
|00004560| 30 00 00 00 00 41 29 41 | 2d 2d a5 00 00 00 41 2e |0....A)A|--....A.|
|00004570| 29 41 28 7f 00 05 30 2c | 30 2c 30 00 00 00 00 41 |)A(...0,|0,0....A|
|00004580| 2b 41 2f 2d 03 00 00 00 | 41 30 29 41 28 7d 01 00 |+A/-....|A0)A(}..|
|00004590| 00 00 00 05 30 2c 30 2c | 30 00 00 00 00 41 2d 41 |....0,0,|0....A-A|
|000045a0| 31 2d 8d 00 00 00 41 32 | 29 41 28 7f 00 05 30 2c |1-....A2|)A(...0,|
|000045b0| 30 2c 30 00 00 00 00 41 | 2f 41 33 2d 05 00 00 00 |0,0....A|/A3-....|
|000045c0| 41 34 29 41 28 7d 01 00 | 00 00 00 05 30 2c 30 2c |A4)A(}..|....0,0,|
|000045d0| 30 00 00 00 00 41 31 41 | 35 2d 02 00 00 00 41 36 |0....A1A|5-....A6|
|000045e0| 29 41 28 7f 00 05 30 2c | 30 2c 30 00 00 00 00 41 |)A(...0,|0,0....A|
|000045f0| 33 00 41 35 41 2b 01 2a | 01 00 00 00 00 7e 01 00 |3.A5A+.*|.....~..|
|00004600| 00 41 37 2d 7e 01 00 00 | 41 38 2b 00 ff ff ff ff |.A7-~...|A8+.....|
|00004610| ff ff ff ff ff ff ff ff | 00 00 00 00 00 00 01 22 |........|......."|
|00004620| 01 00 00 00 00 00 00 00 | 00 41 39 2d 00 00 00 00 |........|.A9-....|
|00004630| 00 00 00 01 20 01 00 00 | 00 00 7e 01 00 00 41 3a |.... ...|..~...A:|
|00004640| 2d 7e 01 00 00 41 3b 21 | ff ff ff ff 00 00 40 07 |-~...A;!|......@.|
|00004650| 02 00 00 00 00 00 00 00 | 06 4e 6f 72 6d 61 6c 0f |........|.Normal.|
|00004660| 54 69 6d 65 73 20 4e 65 | 77 20 52 6f 6d 61 6e ff |Times Ne|w Roman.|
|00004670| ff ff 0c 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004680| 00 00 00 00 00 00 00 00 | 00 00 41 3c 1b 01 40 44 |........|..A<..@D|
|00004690| 08 00 00 00 e1 04 00 00 | 9c 01 00 00 1a 05 00 00 |........|........|
|000046a0| 08 00 00 00 f0 04 00 00 | 00 00 00 00 6c 00 00 00 |........|....l...|
|000046b0| 00 00 00 00 00 00 00 08 | 00 00 00 08 00 00 00 00 |........|........|
|000046c0| 00 00 00 9d 01 00 00 94 | 01 00 00 39 00 00 00 94 |........|...9....|
|000046d0| 01 00 00 39 00 00 00 01 | 1e 40 b0 54 68 65 20 77 |...9....|.@.The w|
|000046e0| 6f 72 6b 61 72 6f 75 6e | 64 20 74 6f 20 74 68 69 |orkaroun|d to thi|
|000046f0| 73 20 70 72 6f 62 6c 65 | 6d 20 69 73 20 74 6f 20 |s proble|m is to |
|00004700| 66 69 6e 64 20 61 20 66 | 75 6e 63 74 69 6f 6e 2c |find a f|unction,|
|00004710| 20 50 28 7a 29 2c 20 77 | 69 74 68 20 74 68 65 20 | P(z), w|ith the |
|00004720| 73 61 6d 65 20 72 6f 6f | 74 73 20 61 73 20 70 28 |same roo|ts as p(|
|00004730| 7a 29 20 62 75 74 20 77 | 68 69 63 68 20 72 65 74 |z) but w|hich ret|
|00004740| 75 72 6e 73 20 6c 61 72 | 67 65 72 20 76 61 6c 75 |urns lar|ger valu|
|00004750| 65 73 20 73 6f 20 74 68 | 61 74 20 74 68 65 20 72 |es so th|at the r|
|00004760| 6f 6f 74 20 66 75 6e 63 | 74 69 6f 6e 20 77 69 6c |oot func|tion wil|
|00004770| 6c 20 73 65 61 72 63 68 | 20 6c 6f 6e 67 65 72 20 |l search| longer |
|00004780| 66 6f 72 20 61 20 72 6f | 6f 74 2e 01 28 00 00 88 |for a ro|ot..(...|
|00004790| 00 00 00 11 00 00 00 5c | 00 00 00 b0 00 00 00 41 |.......\|.......A|
|000047a0| 3d 2d 11 00 00 00 41 3e | 29 41 3c 7f 00 05 30 2c |=-....A>|)A<...0,|
|000047b0| 30 2c 30 00 00 00 00 00 | 41 3f 2d 5c 00 00 00 41 |0,0.....|A?-\...A|
|000047c0| 40 29 41 3c 6b 00 00 00 | 00 00 00 00 00 0f 54 69 |@)A<k...|......Ti|
|000047d0| 6d 65 73 20 4e 65 77 20 | 52 6f 6d 61 6e 05 30 2c |mes New |Roman.0,|
|000047e0| 30 2c 30 00 00 00 00 41 | 3d 41 41 2d 17 00 00 00 |0,0....A|=AA-....|
|000047f0| 41 42 29 41 3c 7f 00 05 | 30 2c 30 2c 30 00 00 00 |AB)A<...|0,0,0...|
|00004800| 00 41 3f 41 43 2d 04 00 | 00 00 41 44 29 41 3c 7d |.A?AC-..|..AD)A<}|
|00004810| 01 00 00 00 00 05 30 2c | 30 2c 30 00 00 00 00 41 |......0,|0,0....A|
|00004820| 41 41 45 2d 28 00 00 00 | 41 46 29 41 3c 7f 00 05 |AAE-(...|AF)A<...|
|00004830| 30 2c 30 2c 30 00 00 00 | 00 41 43 00 41 45 41 3f |0,0,0...|.AC.AEA?|
|00004840| 01 2a 01 00 00 00 00 b0 | 00 00 00 41 47 2d b0 00 |.*......|...AG-..|
|00004850| 00 00 41 48 2b 00 ff ff | ff ff ff ff ff ff ff ff |..AH+...|........|
|00004860| ff ff 00 00 00 00 00 00 | 01 22 01 00 00 00 00 00 |........|."......|
|00004870| 00 00 00 41 49 2d 00 00 | 00 00 00 00 00 01 20 01 |...AI-..|...... .|
|00004880| 00 00 00 00 b0 00 00 00 | 41 4a 2d b0 00 00 00 41 |........|AJ-....A|
|00004890| 4b 21 ff ff ff ff 00 00 | 40 07 02 00 00 00 00 00 |K!......|@.......|
|000048a0| 00 00 06 4e 6f 72 6d 61 | 6c 0f 54 69 6d 65 73 20 |...Norma|l.Times |
|000048b0| 4e 65 77 20 52 6f 6d 61 | 6e ff ff ff 0c 00 00 00 |New Roma|n.......|
|000048c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000048d0| 00 00 00 00 41 4c 1b 01 | 40 44 08 00 00 00 29 05 |....AL..|@D....).|
|000048e0| 00 00 80 00 00 00 3c 05 | 00 00 08 00 00 00 38 05 |......<.|......8.|
|000048f0| 00 00 00 00 00 00 6d 00 | 00 00 00 00 00 00 00 00 |......m.|........|
|00004900| 00 08 00 00 00 08 00 00 | 00 00 00 00 00 90 01 00 |........|........|
|00004910| 00 78 00 00 00 13 00 00 | 00 78 00 00 00 13 00 00 |.x......|.x......|
|00004920| 00 01 1e 15 54 68 69 73 | 20 69 73 20 65 61 73 79 |....This| is easy|
|00004930| 2e 20 20 44 65 66 69 6e | 65 01 28 01 15 00 00 00 |.  Defin|e.(.....|
|00004940| 01 2a 01 00 00 00 00 15 | 00 00 00 41 4d 2d 15 00 |.*......|...AM-..|
|00004950| 00 00 41 4e 2b 00 ff ff | ff ff ff ff ff ff ff ff |..AN+...|........|
|00004960| ff ff 00 00 00 00 00 00 | 01 22 01 00 00 00 00 00 |........|."......|
|00004970| 00 00 00 41 4f 2d 00 00 | 00 00 00 00 00 01 20 01 |...AO-..|...... .|
|00004980| 00 00 00 00 15 00 00 00 | 41 50 2d 15 00 00 00 41 |........|AP-....A|
|00004990| 51 21 ff ff ff ff 00 00 | 40 07 02 00 00 00 00 00 |Q!......|@.......|
|000049a0| 00 00 06 4e 6f 72 6d 61 | 6c 0f 54 69 6d 65 73 20 |...Norma|l.Times |
|000049b0| 4e 65 77 20 52 6f 6d 61 | 6e ff ff ff 0c 00 00 00 |New Roma|n.......|
|000049c0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000049d0| 00 00 00 00 41 52 33 01 | 40 44 30 00 00 00 42 05 |....AR3.|@D0...B.|
|000049e0| 00 00 9c 00 00 00 5d 05 | 00 00 57 00 00 00 58 05 |......].|..W...X.|
|000049f0| 00 00 00 00 00 00 78 00 | 00 00 00 00 00 00 00 00 |......x.|........|
|00004a00| 00 41 53 31 0d 70 00 00 | 00 00 00 41 54 31 0b c1 |.AS1.p..|...AT1..|
|00004a10| 00 00 80 41 53 41 55 31 | 12 ce 00 00 40 41 54 41 |...ASAU1|....@ATA|
|00004a20| 56 31 02 0f 00 00 64 41 | 55 00 00 02 01 50 41 57 |V1....dA|U....PAW|
|00004a30| 31 8e 70 00 00 80 41 55 | 00 41 58 31 02 0f 00 00 |1.p...AU|.AX1....|
|00004a40| a4 41 57 00 00 02 01 7a | 41 59 31 06 ca 00 00 80 |.AW....z|AY1.....|
|00004a50| 41 54 41 5a 31 05 fc 00 | 00 40 41 59 41 5b 31 02 |ATAZ1...|.@AYA[1.|
|00004a60| 0f 00 00 74 41 5a 00 00 | 10 01 02 31 30 41 5c 31 |...tAZ..|...10A\1|
|00004a70| 02 0f 00 00 b4 41 5a 00 | 00 10 01 01 38 41 5d 31 |.....AZ.|....8A]1|
|00004a80| 12 ce 00 00 80 41 59 41 | 5e 31 02 0f 00 00 64 41 |.....AYA|^1....dA|
|00004a90| 5d 00 00 02 01 70 41 5f | 31 8e 70 00 00 80 41 5d |]....pA_|1.p...A]|
|00004aa0| 00 41 60 31 02 0f 00 00 | a4 41 5f 00 00 02 01 7a |.A`1....|.A_....z|
|00004ab0| 00 00 00 00 00 00 00 00 | 41 61 1b 01 40 44 08 00 |........|Aa..@D..|
|00004ac0| 00 00 69 05 00 00 96 01 | 00 00 b5 05 00 00 08 00 |..i.....|........|
|00004ad0| 00 00 78 05 00 00 00 00 | 00 00 6f 00 00 00 00 00 |..x.....|..o.....|
|00004ae0| 00 00 00 00 00 08 00 00 | 00 08 00 00 00 00 00 00 |........|........|
|00004af0| 00 90 01 00 00 8e 01 00 | 00 4c 00 00 00 8e 01 00 |........|.L......|
|00004b00| 00 4c 00 00 00 01 1e 40 | 94 54 68 65 6e 20 50 20 |.L.....@|.Then P |
|00004b10| 77 69 6c 6c 20 63 6c 65 | 61 72 6c 79 20 72 65 74 |will cle|arly ret|
|00004b20| 75 72 6e 20 6c 61 72 67 | 65 72 20 76 61 6c 75 65 |urn larg|er value|
|00004b30| 73 20 74 68 61 6e 20 70 | 2c 20 61 6e 64 20 61 6e |s than p|, and an|
|00004b40| 79 20 72 6f 6f 74 20 6f | 66 20 70 20 69 73 20 61 |y root o|f p is a|
|00004b50| 20 72 6f 6f 74 20 6f 66 | 20 50 20 61 6e 64 20 76 | root of| P and v|
|00004b60| 69 63 65 20 76 65 72 73 | 61 2e 20 0d 0d 4e 6f 77 |ice vers|a. ..Now|
|00004b70| 20 77 65 20 65 78 70 65 | 63 74 20 72 6f 6f 74 20 | we expe|ct root |
|00004b80| 74 6f 20 77 6f 72 6b 20 | 62 65 74 74 65 72 20 77 |to work |better w|
|00004b90| 69 74 68 20 50 20 74 68 | 61 6e 20 70 2e 01 28 00 |ith P th|an p..(.|
|00004ba0| 00 87 00 00 00 03 00 00 | 00 54 00 00 00 94 00 00 |........|.T......|
|00004bb0| 00 41 62 2d 03 00 00 00 | 41 63 29 41 61 7f 00 05 |.Ab-....|Ac)Aa...|
|00004bc0| 30 2c 30 2c 30 00 00 00 | 00 00 41 64 2d 54 00 00 |0,0,0...|..Ad-T..|
|00004bd0| 00 41 65 29 41 61 6b 00 | 00 00 00 00 00 00 00 0f |.Ae)Aak.|........|
|00004be0| 54 69 6d 65 73 20 4e 65 | 77 20 52 6f 6d 61 6e 05 |Times Ne|w Roman.|
|00004bf0| 30 2c 30 2c 30 00 00 00 | 00 41 62 41 66 2d 1b 00 |0,0,0...|.AbAf-..|
|00004c00| 00 00 41 67 29 41 61 7f | 00 05 30 2c 30 2c 30 00 |..Ag)Aa.|..0,0,0.|
|00004c10| 00 00 00 41 64 41 68 2d | 04 00 00 00 41 69 29 41 |...AdAh-|....Ai)A|
|00004c20| 61 7d 01 00 00 00 00 05 | 30 2c 30 2c 30 00 00 00 |a}......|0,0,0...|
|00004c30| 00 41 66 41 6a 2d 11 00 | 00 00 41 6b 29 41 61 7f |.AfAj-..|..Ak)Aa.|
|00004c40| 00 05 30 2c 30 2c 30 00 | 00 00 00 41 68 41 6c 2d |..0,0,0.|...AhAl-|
|00004c50| 0d 00 00 00 41 6d 29 41 | 61 6b 00 00 00 00 00 00 |....Am)A|ak......|
|00004c60| 00 00 0f 54 69 6d 65 73 | 20 4e 65 77 20 52 6f 6d |...Times| New Rom|
|00004c70| 61 6e 05 30 2c 30 2c 30 | 00 00 00 00 41 6a 00 41 |an.0,0,0|....Aj.A|
|00004c80| 6c 41 64 01 2a 01 00 00 | 00 00 94 00 00 00 41 6e |lAd.*...|......An|
|00004c90| 2d 94 00 00 00 41 6f 2b | 00 ff ff ff ff ff ff ff |-....Ao+|........|
|00004ca0| ff ff ff ff ff 00 00 00 | 00 00 00 01 22 01 00 00 |........|...."...|
|00004cb0| 00 00 00 00 00 00 41 70 | 2d 00 00 00 00 00 00 00 |......Ap|-.......|
|00004cc0| 01 20 01 00 00 00 00 94 | 00 00 00 41 71 2d 94 00 |. ......|...Aq-..|
|00004cd0| 00 00 41 72 21 ff ff ff | ff 00 00 40 07 02 00 00 |..Ar!...|...@....|
|00004ce0| 00 00 00 00 00 06 4e 6f | 72 6d 61 6c 0f 54 69 6d |......No|rmal.Tim|
|00004cf0| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e ff ff ff 0c |es New R|oman....|
|00004d00| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00004d10| 00 00 00 00 00 00 00 41 | 73 33 01 40 44 30 00 00 |.......A|s3.@D0..|
|00004d20| 00 c0 05 00 00 8d 00 00 | 00 db 05 00 00 64 00 00 |........|.....d..|
|00004d30| 00 d0 05 00 00 00 00 00 | 00 79 00 00 00 00 00 00 |........|.y......|
|00004d40| 00 00 00 00 41 74 31 0d | 70 00 00 00 00 00 41 75 |....At1.|p.....Au|
|00004d50| 31 0b c1 00 00 80 41 74 | 41 76 31 02 0f 00 00 64 |1.....At|Av1....d|
|00004d60| 41 75 00 00 08 07 7a 2e | 67 75 65 73 73 41 77 31 |Au....z.|guessAw1|
|00004d70| 02 0f 00 00 b4 41 75 00 | 00 10 01 04 30 2e 30 31 |.....Au.|....0.01|
|00004d80| 00 00 00 00 00 00 00 00 | 41 78 33 01 40 44 30 00 |........|Ax3.@D0.|
|00004d90| 00 00 e8 05 00 00 f0 00 | 00 00 03 06 00 00 46 00 |........|......F.|
|00004da0| 00 00 f8 05 00 00 00 00 | 00 00 7a 00 00 00 00 00 |........|..z.....|
|00004db0| 00 00 00 00 00 41 79 31 | 0d 70 00 00 00 00 00 41 |.....Ay1|.p.....A|
|00004dc0| 7a 31 0b c1 00 00 80 41 | 79 41 7b 31 02 0f 00 00 |z1.....A|yA{1....|
|00004dd0| 64 41 7a 00 00 03 02 72 | 32 41 7c 31 12 ce 00 00 |dAz....r|2A|1....|
|00004de0| 80 41 7a 41 7d 31 02 0f | 00 00 64 41 7c 00 00 05 |.AzA}1..|..dA|...|
|00004df0| 04 72 6f 6f 74 41 7e 31 | 8e 70 00 00 80 41 7c 00 |.rootA~1|.p...A|.|
|00004e00| 41 7f 31 0a c3 00 00 80 | 41 7e 41 80 31 12 ce 00 |A.1.....|A~A.1...|
|00004e10| 00 40 41 7f 41 81 31 02 | 0f 00 00 64 41 80 00 00 |.@A.A.1.|...dA...|
|00004e20| 02 01 70 41 82 31 8e 70 | 00 00 80 41 80 00 41 83 |..pA.1.p|...A..A.|
|00004e30| 31 02 0f 00 00 a4 41 82 | 00 00 08 07 7a 2e 67 75 |1.....A.|....z.gu|
|00004e40| 65 73 73 41 84 31 02 0f | 00 00 a4 41 7f 00 00 08 |essA.1..|...A....|
|00004e50| 07 7a 2e 67 75 65 73 73 | 00 00 00 00 00 00 00 00 |.z.guess|........|
|00004e60| 41 85 33 01 40 44 08 01 | 00 00 e8 05 00 00 ce 01 |A.3.@D..|........|
|00004e70| 00 00 03 06 00 00 23 01 | 00 00 f8 05 00 00 00 00 |......#.|........|
|00004e80| 00 00 a0 00 00 00 00 00 | 00 00 00 00 00 41 86 31 |........|.....A.1|
|00004e90| 0d 70 00 00 00 00 00 41 | 87 31 0b c1 00 00 80 41 |.p.....A|.1.....A|
|00004ea0| 86 41 88 31 02 0f 00 00 | 64 41 87 00 00 03 02 52 |.A.1....|dA.....R|
|00004eb0| 32 41 89 31 12 ce 00 00 | 80 41 87 41 8a 31 02 0f |2A.1....|.A.A.1..|
|00004ec0| 00 00 64 41 89 00 00 05 | 04 72 6f 6f 74 41 8b 31 |..dA....|.rootA.1|
|00004ed0| 8e 70 00 00 80 41 89 00 | 41 8c 31 0a c3 00 00 80 |.p...A..|A.1.....|
|00004ee0| 41 8b 41 8d 31 12 ce 00 | 00 40 41 8c 41 8e 31 02 |A.A.1...|.@A.A.1.|
|00004ef0| 0f 00 00 64 41 8d 00 00 | 02 01 50 41 8f 31 8e 70 |...dA...|..PA.1.p|
|00004f00| 00 00 80 41 8d 00 41 90 | 31 02 0f 00 00 a4 41 8f |...A..A.|1.....A.|
|00004f10| 00 00 08 07 7a 2e 67 75 | 65 73 73 41 91 31 02 0f |....z.gu|essA.1..|
|00004f20| 00 00 a4 41 8c 00 00 08 | 07 7a 2e 67 75 65 73 73 |...A....|.z.guess|
|00004f30| 00 00 00 00 00 00 00 00 | 41 92 33 01 40 44 30 00 |........|A.3.@D0.|
|00004f40| 00 00 0f 06 00 00 a9 00 | 00 00 2d 06 00 00 45 00 |........|..-...E.|
|00004f50| 00 00 28 06 00 00 00 00 | 00 00 7c 00 00 00 00 00 |..(.....|..|.....|
|00004f60| 00 00 00 00 00 41 93 31 | 0d 70 00 00 00 00 00 41 |.....A.1|.p.....A|
|00004f70| 94 31 8c c1 00 00 80 41 | 93 41 95 31 02 0f 00 00 |.1.....A|.A.1....|
|00004f80| 64 41 94 00 00 03 02 72 | 32 41 96 31 96 c4 00 00 |dA.....r|2A.1....|
|00004f90| 80 41 94 41 97 31 2b 0f | 00 00 40 41 96 00 00 01 |.A.A.1+.|..@A....|
|00004fa0| 40 46 00 41 98 31 00 0f | 00 00 a4 41 96 00 00 10 |@F.A.1..|...A....|
|00004fb0| 09 5f 6e 5f 75 5f 6c 5f | 6c 5f 00 00 00 00 00 00 |._n_u_l_|l_......|
|00004fc0| 00 00 41 99 33 01 40 44 | 08 01 00 00 0f 06 00 00 |..A.3.@D|........|
|00004fd0| 86 01 00 00 2d 06 00 00 | 22 01 00 00 28 06 00 00 |....-...|"...(...|
|00004fe0| 00 00 00 00 a6 00 00 00 | 00 00 00 00 00 00 00 41 |........|.......A|
|00004ff0| 9a 31 0d 70 00 00 00 00 | 00 41 9b 31 8c c1 00 00 |.1.p....|.A.1....|
|00005000| 80 41 9a 41 9c 31 02 0f | 00 00 64 41 9b 00 00 10 |.A.A.1..|..dA....|
|00005010| 02 52 32 41 9d 31 96 f4 | 00 00 80 41 9b 41 9e 31 |.R2A.1..|...A.A.1|
|00005020| 2b 0f 00 00 40 41 9d 00 | 00 01 40 46 00 41 9f 31 |+...@A..|..@F.A.1|
|00005030| 00 0f 00 00 80 41 9d 00 | 00 00 00 00 00 00 00 00 |.....A..|........|
|00005040| 00 41 a0 35 01 40 44 00 | 00 00 00 38 06 00 00 40 |.A.5.@D.|...8...@|
|00005050| 1f 00 00 40 06 00 00 00 | 00 00 00 38 06 00 00 00 |...@....|...8....|
|00005060| 00 00 00 80 00 00 00 00 | 00 00 00 00 00 00 41 a1 |........|......A.|
|00005070| 1b 01 40 44 08 00 00 00 | 41 06 00 00 83 01 00 00 |..@D....|A.......|
|00005080| 67 06 00 00 08 00 00 00 | 50 06 00 00 00 00 00 00 |g.......|P.......|
|00005090| 75 00 00 00 00 00 00 00 | 00 00 00 08 00 00 00 08 |u.......|........|
|000050a0| 00 00 00 00 00 00 00 90 | 01 00 00 7b 01 00 00 26 |........|...{...&|
|000050b0| 00 00 00 7b 01 00 00 26 | 00 00 00 01 1e 40 60 4e |...{...&|.....@`N|
|000050c0| 6f 74 65 20 74 68 61 74 | 20 74 68 65 20 76 61 6c |ote that| the val|
|000050d0| 75 65 20 66 6f 75 6e 64 | 20 75 73 69 6e 67 20 50 |ue found| using P|
|000050e0| 20 69 73 20 63 6c 6f 73 | 65 72 20 74 6f 20 74 68 | is clos|er to th|
|000050f0| 65 20 72 6f 6f 74 20 74 | 68 61 6e 20 74 68 61 74 |e root t|han that|
|00005100| 20 70 72 6f 64 75 63 65 | 64 20 75 73 69 6e 67 20 | produce|d using |
|00005110| 74 68 65 20 6f 72 69 67 | 69 6e 61 6c 20 70 2e 01 |the orig|inal p..|
|00005120| 28 00 00 5f 00 00 00 20 | 00 00 00 01 00 00 00 60 |(.._... |.......`|
|00005130| 00 00 00 41 a2 2d 20 00 | 00 00 41 a3 29 41 a1 7f |...A.- .|..A.)A..|
|00005140| 00 05 30 2c 30 2c 30 00 | 00 00 00 00 41 a4 2d 01 |..0,0,0.|....A.-.|
|00005150| 00 00 00 41 a5 29 41 a1 | 6b 01 00 00 00 00 00 00 |...A.)A.|k.......|
|00005160| 00 0f 54 69 6d 65 73 20 | 4e 65 77 20 52 6f 6d 61 |..Times |New Roma|
|00005170| 6e 05 30 2c 30 2c 30 00 | 00 00 00 41 a2 41 a6 2d |n.0,0,0.|...A.A.-|
|00005180| 3d 00 00 00 41 a7 29 41 | a1 7f 00 05 30 2c 30 2c |=...A.)A|....0,0,|
|00005190| 30 00 00 00 00 41 a4 41 | a8 2d 01 00 00 00 41 a9 |0....A.A|.-....A.|
|000051a0| 29 41 a1 6b 01 00 00 00 | 00 00 00 00 0f 54 69 6d |)A.k....|.....Tim|
|000051b0| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e 05 30 2c 30 |es New R|oman.0,0|
|000051c0| 2c 30 00 00 00 00 41 a6 | 41 aa 2d 01 00 00 00 41 |,0....A.|A.-....A|
|000051d0| ab 29 41 a1 7f 00 05 30 | 2c 30 2c 30 00 00 00 00 |.)A....0|,0,0....|
|000051e0| 41 a8 00 41 aa 41 a4 01 | 2a 01 00 00 00 00 60 00 |A..A.A..|*.....`.|
|000051f0| 00 00 41 ac 2d 60 00 00 | 00 41 ad 2b 00 ff ff ff |..A.-`..|.A.+....|
|00005200| ff ff ff ff ff ff ff ff | ff 00 00 00 00 00 00 01 |........|........|
|00005210| 22 01 00 00 00 00 00 00 | 00 00 41 ae 2d 00 00 00 |".......|..A.-...|
|00005220| 00 00 00 00 01 20 01 00 | 00 00 00 60 00 00 00 41 |..... ..|...`...A|
|00005230| af 2d 60 00 00 00 41 b0 | 21 ff ff ff ff 00 00 40 |.-`...A.|!......@|
|00005240| 07 02 00 00 00 00 00 00 | 00 06 4e 6f 72 6d 61 6c |........|..Normal|
|00005250| 0f 54 69 6d 65 73 20 4e | 65 77 20 52 6f 6d 61 6e |.Times N|ew Roman|
|00005260| ff ff ff 0c 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00005270| 00 00 00 00 00 00 00 00 | 00 00 00 41 b1 33 01 40 |........|...A.3.@|
|00005280| 44 30 00 00 00 6f 06 00 | 00 cf 00 00 00 8d 06 00 |D0...o..|........|
|00005290| 00 5c 00 00 00 88 06 00 | 00 00 00 00 00 90 00 00 |.\......|........|
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|00005fb0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
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|00006020| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006030| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006040| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006050| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006060| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006070| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006080| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006090| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000060a0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000060b0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000060c0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000060d0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000060e0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000060f0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006100| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006110| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006120| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006130| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006140| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006150| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006160| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006170| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006180| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006190| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000061a0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000061b0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000061c0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000061d0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000061e0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000061f0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006200| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006210| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006220| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006230| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006240| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006250| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006260| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006270| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006280| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|00006290| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000062a0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 0e 0e 0e 0e 0e |........|........|
|000062b0| 0e 0e 0e 0e 0e 0e 0e 0e | 0e 0e 0e 02 02 02 02 02 |........|........|
|000062c0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000062d0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000062e0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000062f0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006300| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006310| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006320| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006330| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006340| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006350| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006360| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006370| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006380| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|00006390| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000063a0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000063b0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000063c0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000063d0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000063e0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
|000063f0| 02 02 02 02 02 02 02 02 | 02 02 02 02 02 02 02 02 |........|........|
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