Math - Level 4: The Course

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MacBinary | 1993-01-14 | 251.8 KB | [COAc/COAp]
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MacOS 8.1 extracted |
Win98 extracted |
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This file was processed as: MacBinary (archive/macBinary).

You can browse this item here: Unit 1 - Topic 3
Confidence	Program	Detection	Match Type	Support
`10%`	dexvert	MacBinary `(archive/macBinary)`	fallback	Supported
`100%`	file	MacBinary II, inited, Thu Jan 14 14:56:17 1993, modified Thu Jan 14 14:56:24 1993, creator 'COAp', type 'COAc', 240487 bytes "Unit 1 - Topic 3" , at 0x3abe7 17029 bytes resource	default (weak)
`99%`	file	data	default
`100%`	TrID	MacBinary 2	default (weak)
`100%`	siegfried	fmt/1762 MacBinary (II)	default
`100%`	lsar	MacBinary	default
id metadata
key	value
macFileType	`[COAc]`
macFileCreator	`[COAp]`
hex view
+--------+-------------------------+-------------------------+--------+--------+
|00000000| 00 10 55 6e 69 74 20 31 | 20 2d 20 54 6f 70 69 63 |..Unit 1| - Topic|
|00000010| 20 33 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 | 3......|........|
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|00000040| 00 43 4f 41 63 43 4f 41 | 70 01 00 00 00 00 00 00 |.COAcCOA|p.......|
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|00000060| 7b 75 e8 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |{u......|........|
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|00000080| 43 6f 70 79 72 69 67 68 | 74 20 28 63 29 20 31 39 |Copyrigh|t (c) 19|
|00000090| 38 37 2c 20 41 75 74 68 | 6f 72 77 61 72 65 2c 20 |87, Auth|orware, |
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|00000380| 65 63 74 69 76 65 20 23 | 34 3a 09 00 00 29 65 2a |ective #|4:...)e*|
|00000390| 44 65 74 65 72 6d 69 6e | 65 20 61 6e 20 69 6e 74 |Determin|e an int|
|000003a0| 65 67 72 61 6c 20 70 6f | 6c 79 6e 6f 6d 69 61 6c |egral po|lynomial|
|000003b0| 20 66 75 6e 63 74 69 6f | 6e 0d 00 28 00 33 00 1f | functio|n..(.3..|
|000003c0| 01 09 00 29 65 19 67 69 | 76 65 6e 20 69 74 73 20 |...)e.gi|ven its |
|000003d0| 72 61 74 69 6f 6e 61 6c | 20 7a 65 72 6f 73 2e 00 |rational| zeros..|
|000003e0| 00 a0 00 97 00 a0 00 83 | 00 ff 27 1c 00 00 00 04 |........|..'.....|
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|00000470| 00 06 fa 00 00 04 fd 00 | 06 fa 00 00 06 fd 00 06 |........|........|
|00000480| fa 00 00 07 fd 00 08 fa | 00 04 07 80 00 00 02 08 |........|........|
|00000490| fa 00 04 07 c0 00 00 15 | 08 fa 00 04 03 e0 00 00 |........|........|
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|000004b0| 03 f8 00 03 80 09 00 07 | fa ff 03 fe 00 07 00 08 |........|........|
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|000004d0| 00 08 00 01 f9 ff 02 c0 | 08 03 08 00 03 f9 ff 02 |........|........|
|000004e0| e0 10 06 08 00 03 f9 ff | 02 f0 08 04 08 00 07 f9 |........|........|
|000004f0| ff 02 f8 10 06 08 00 07 | f9 ff 02 f8 20 06 08 00 |........|.... ...|
|00000500| 03 f9 ff 02 fc 10 02 08 | 00 03 f9 ff 02 fe 20 02 |........|...... .|
|00000510| 07 00 01 f8 ff 01 10 02 | 07 00 01 f8 ff 01 20 02 |........|...... .|
|00000520| 08 00 03 f9 ff 02 fe 10 | 02 08 00 03 f9 ff 02 fc |........|........|
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|00000560| 00 01 fa ff 03 fe 00 03 | 80 08 fa 00 04 06 7c 00 |........|......|.|
|00000570| 01 c0 08 fa 00 04 04 f8 | 00 00 a8 07 f9 00 03 f0 |........|........|
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|000005c0| 00 2a 00 55 00 01 02 f5 | 00 06 fa 00 00 04 fd 00 |.*.U....|........|
|000005d0| 06 fa 00 00 06 fd 00 06 | fa 00 00 07 fd 00 08 fa |........|........|
|000005e0| 00 04 05 80 00 00 02 08 | fa 00 04 06 c0 00 00 15 |........|........|
|000005f0| 08 fa 00 04 02 60 00 00 | a8 0a 00 0f fb ff 04 fe |.....`..|........|
|00000600| 30 00 01 40 09 00 06 fa | 00 03 18 00 02 80 0b 00 |0..@....|........|
|00000610| 07 fc 00 05 01 f0 0e 00 | 05 00 0d 02 03 0f fe fe |........|........|
|00000620| 00 05 03 30 03 00 0a 00 | 0d 02 01 98 06 fe 00 05 |...0....|........|
|00000630| 02 f0 01 80 04 00 0d 02 | 01 97 6e fe 00 05 02 f0 |........|..n.....|
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|000006c0| 02 0d 0b 03 00 00 fc 00 | 1b 80 00 07 fc 08 03 0d |........|........|
|000006d0| 0b 06 00 00 7c 00 11 80 | 00 0f f8 10 03 0c 00 06 |....|...|........|
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|000006f0| fe 3f e0 04 00 0a 00 00 | fb ff 04 fe ff c0 0a 00 |.?......|........|
|00000700| 0a 00 00 fb ff 04 fd ff | 00 05 00 09 00 01 fa ff |........|........|
|00000710| 03 fe 00 02 80 08 fa 00 | 04 06 7c 00 01 40 08 fa |........|..|..@..|
|00000720| 00 04 04 f8 00 00 a8 07 | f9 00 03 f0 00 00 15 07 |........|........|
|00000730| f9 00 03 e0 00 00 02 06 | f9 00 00 c0 fe 00 06 f9 |........|........|
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|00000750| 00 06 05 00 00 00 02 00 | 00 a1 27 11 00 1e 00 10 |........|..'.....|
|00000760| 00 61 00 24 00 75 00 00 | 00 01 00 00 00 00 00 00 |.a.$.u..|........|
|00000770| 00 00 00 00 10 0c 00 13 | 00 00 88 02 00 a1 27 12 |........|......'.|
|00000780| 00 14 00 01 00 00 00 00 | 00 00 00 00 00 00 07 43 |........|.......C|
|00000790| 68 69 63 61 67 6f 00 01 | 00 0a 00 10 00 5c 27 10 |hicago..|.....\'.|
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|000007d0| aa 55 aa 55 00 50 00 09 | 00 56 00 29 00 76 00 a1 |.U.U.P..|.V.).v..|
|000007e0| 00 96 00 06 05 00 00 00 | 02 00 00 a1 27 11 00 1e |........|....'...|
|000007f0| 00 0b 00 7d 00 3b 01 d5 | 00 00 00 01 00 00 00 00 |...}.;..|........|
|00000800| 00 00 00 00 00 00 00 0c | 00 10 00 00 88 02 00 a1 |........|........|
|00000810| 27 12 00 14 00 01 00 00 | 00 00 00 00 00 00 00 00 |'.......|........|
|00000820| 07 43 68 69 63 61 67 6f | 00 01 00 0a 00 0b 00 78 |.Chicago|.......x|
|00000830| 27 10 01 da 00 04 00 00 | 00 28 00 17 00 7d 32 46 |'.......|.(...}2F|
|00000840| 69 6e 64 20 74 68 65 20 | 69 6e 74 65 67 72 61 6c |ind the |integral|
|00000850| 20 70 6f 6c 79 6e 6f 6d | 69 61 6c 20 66 75 6e 63 | polynom|ial func|
|00000860| 74 69 6f 6e 20 6f 66 20 | 64 65 67 72 65 65 20 33 |tion of |degree 3|
|00000870| 20 00 00 2a 10 34 77 68 | 69 63 68 20 68 61 73 20 | ..*.4wh|ich has |
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|00000890| 31 2f 32 20 61 6e 64 20 | 61 20 72 65 6d 61 69 6e |1/2 and |a remain|
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|000008b0| 65 6e 20 64 69 76 69 64 | 65 64 20 62 79 20 28 78 |en divid|ed by (x|
|000008c0| 20 d0 20 31 29 2e 00 a0 | 00 97 00 a0 00 83 00 ff | . 1)...|........|
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|000008e0| 01 3c 01 3c 00 94 00 07 | 00 c4 01 dd 00 11 02 ff |.<.<....|........|
|000008f0| 0c 00 ff ff ff ff 00 07 | 00 00 00 94 00 00 01 dd |........|........|
|00000900| 00 00 00 c4 00 00 00 00 | 00 00 00 a0 00 82 00 a1 |........|........|
|00000910| 27 14 00 08 00 00 00 00 | 00 00 00 00 00 a1 00 96 |'.......|........|
|00000920| 00 06 05 00 00 00 02 00 | 00 a1 27 11 00 1e 00 94 |........|..'.....|
|00000930| 00 0c 00 c4 01 d8 00 00 | 00 01 00 00 00 00 00 00 |........|........|
|00000940| 00 00 00 00 00 0c 00 10 | 00 00 88 02 00 a1 27 12 |........|......'.|
|00000950| 00 14 00 01 00 00 00 00 | 00 00 00 00 00 00 07 43 |........|.......C|
|00000960| 68 69 63 61 67 6f 00 1e | 00 01 00 0a 00 94 00 07 |hicago..|........|
|00000970| 27 10 01 dd 00 0d 00 0c | 00 2b 0c a0 44 49 66 20 |'.......|.+..DIf |
|00000980| 66 28 78 29 20 69 73 20 | 74 68 65 20 66 75 6e 63 |f(x) is |the func|
|00000990| 74 69 6f 6e 20 77 65 20 | 61 72 65 20 6c 6f 6f 6b |tion we |are look|
|000009a0| 69 6e 67 20 66 6f 72 20 | 69 6e 20 74 68 69 73 20 |ing for |in this |
|000009b0| 71 75 65 73 74 69 6f 6e | 2c 20 62 79 20 74 68 65 |question|, by the|
|000009c0| 20 00 00 2a 10 20 72 65 | 6d 61 69 6e 64 65 72 20 | ..*. re|mainder |
|000009d0| 74 68 65 6f 72 65 6d 2c | 20 66 28 31 29 20 3d 20 |theorem,| f(1) = |
|000009e0| 31 32 2e 20 20 0d 00 2a | 10 2a 53 69 6e 63 65 20 |12.  ..*|.*Since |
|000009f0| 50 28 31 29 20 3d 20 2d | 36 2c 20 77 65 20 6b 6e |P(1) = -|6, we kn|
|00000a00| 6f 77 20 74 68 61 74 20 | 66 28 78 29 20 ad 20 50 |ow that |f(x) . P|
|00000a10| 28 78 29 2e 00 a0 00 97 | 00 a0 00 83 00 ff 27 1c |(x).....|......'.|
|00000a20| 00 00 00 04 00 8b 00 06 | 00 00 27 12 00 00 02 4a |........|..'....J|
|00000a30| 02 4a 00 98 00 06 01 1a | 01 db 00 11 02 ff 0c 00 |.J......|........|
|00000a40| ff ff ff ff 00 06 00 00 | 00 98 00 00 01 db 00 00 |........|........|
|00000a50| 01 1a 00 00 00 00 00 00 | 00 a0 00 82 00 a1 27 14 |........|......'.|
|00000a60| 00 08 00 98 00 2d 00 d8 | 00 f5 00 a1 00 96 00 06 |.....-..|........|
|00000a70| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 ca 00 0b |........|'.......|
|00000a80| 01 1a 01 d6 00 00 00 01 | 00 00 00 00 00 00 00 00 |........|........|
|00000a90| 00 00 00 0c 00 10 00 00 | 88 02 00 a1 27 12 00 14 |........|....'...|
|00000aa0| 00 01 00 00 00 00 00 00 | 00 00 00 00 07 43 68 69 |........|.....Chi|
|00000ab0| 63 61 67 6f 00 1e 00 01 | 00 0a 00 ca 00 06 27 10 |cago....|......'.|
|00000ac0| 01 db 00 0d 00 0c 00 2b | 0b d6 44 57 68 61 74 20 |.......+|..DWhat |
|00000ad0| 63 61 6e 20 77 65 20 64 | 6f 20 74 6f 20 50 28 78 |can we d|o to P(x|
|00000ae0| 29 20 74 6f 20 6f 62 74 | 61 69 6e 20 66 28 78 29 |) to obt|ain f(x)|
|00000af0| 20 77 69 74 68 6f 75 74 | 20 63 68 61 6e 67 69 6e | without| changin|
|00000b00| 67 20 74 68 65 20 7a 65 | 72 6f 73 20 6f 66 20 00 |g the ze|ros of .|
|00000b10| 00 2a 10 40 74 68 65 20 | 66 75 6e 63 74 69 6f 6e |.*.@the |function|
|00000b20| 3f 20 20 54 68 65 20 7a | 65 72 6f 73 20 6f 66 20 |?  The z|eros of |
|00000b30| 74 68 65 20 66 75 6e 63 | 74 69 6f 6e 20 61 72 65 |the func|tion are|
|00000b40| 20 64 65 70 65 6e 64 65 | 6e 74 20 75 70 6f 6e 20 | depende|nt upon |
|00000b50| 74 68 65 20 00 2a 10 3d | 76 61 72 69 61 62 6c 65 |the .*.=|variable|
|00000b60| 20 66 61 63 74 6f 72 73 | 20 6f 66 20 74 68 65 20 | factors| of the |
|00000b70| 66 75 6e 63 74 69 6f 6e | 2c 20 73 6f 20 77 65 20 |function|, so we |
|00000b80| 63 61 6e 6e 6f 74 20 69 | 6e 74 72 6f 64 75 63 65 |cannot i|ntroduce|
|00000b90| 20 6e 65 77 20 00 00 2a | 10 43 76 61 72 69 61 62 | new ..*|.Cvariab|
|00000ba0| 6c 65 20 66 61 63 74 6f | 72 73 20 6e 6f 72 20 63 |le facto|rs nor c|
|00000bb0| 61 6e 20 77 65 20 63 68 | 61 6e 67 65 20 74 68 65 |an we ch|ange the|
|00000bc0| 20 76 61 72 69 61 62 6c | 65 20 66 61 63 74 6f 72 | variabl|e factor|
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|00000be0| 10 1e 77 65 20 63 61 6e | 20 6d 75 6c 74 69 70 6c |..we can| multipl|
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|00000c00| 00 a0 00 97 00 01 00 0a | d8 f0 d8 f0 27 10 27 10 |........|....'.'.|
|00000c10| 00 08 00 09 00 30 00 aa | 00 2d 00 bc 00 70 00 30 |.....0..|.-...p.0|
|00000c20| 00 98 00 8f 00 ac 00 d2 | 00 a0 00 aa 00 09 aa 55 |........|.......U|
|00000c30| aa 55 aa 55 aa 55 00 61 | 00 99 00 bc 00 c1 00 e4 |.U.U.U.a|........|
|00000c40| 01 d7 00 30 00 07 00 04 | 00 04 00 22 00 c7 00 e9 |...0....|..."....|
|00000c50| f1 f1 00 a0 00 ad 00 a0 | 00 aa 00 61 00 a3 00 5f |........|...a..._|
|00000c60| 00 cb 00 87 01 d7 00 30 | 00 22 00 cc 00 87 f6 f6 |.......0|."......|
|00000c70| 00 a0 00 ad 00 a0 00 83 | 00 ff 27 1c 00 00 00 04 |........|..'.....|
|00000c80| 00 98 00 06 00 00 00 02 | 00 00 00 0c 16 80 82 b4 |........|........|
|00000c90| 80 80 16 05 13 31 13 00 | 27 19 00 00 00 04 01 28 |.....1..|'......(|
|00000ca0| 01 b7 00 03 00 00 00 10 | 16 80 82 b4 80 80 16 08 |........|........|
|00000cb0| 16 87 ac ec 80 80 16 00 | 00 00 27 1c 00 00 00 04 |........|..'.....|
|00000cc0| 00 89 00 20 00 0a 00 00 | 00 04 13 31 13 00 00 00 |... ....|...1....|
|00000cd0| 27 1c 00 00 00 04 00 d6 | 00 20 00 0a 00 00 00 04 |'.......|. ......|
|00000ce0| 13 31 13 00 00 00 27 1c | 00 00 00 04 00 fd 00 1b |.1....'.|........|
|00000cf0| 00 0a 00 00 00 04 13 31 | 13 00 00 00 27 19 00 00 |.......1|....'...|
|00000d00| 00 04 01 19 01 b9 00 02 | 00 00 00 04 13 30 13 00 |........|.....0..|
|00000d10| 00 00 27 12 00 00 03 fc | 03 fc 00 0d 01 e4 00 14 |..'.....|........|
|00000d20| 01 ed 00 11 02 ff 0c 00 | ff ff ff ff 01 e4 00 00 |........|........|
|00000d30| 00 0d 00 00 01 ed 00 00 | 00 14 00 00 00 00 00 00 |........|........|
|00000d40| 00 a0 00 82 00 a1 27 14 | 00 08 00 0d 01 e4 00 14 |......'.|........|
|00000d50| 01 ed 00 a0 00 8c 00 a0 | 00 8c 00 a0 00 8c 00 a0 |........|........|
|00000d60| 30 39 00 a0 00 8e 00 01 | 00 0a d8 f0 d8 f0 27 10 |09......|......'.|
|00000d70| 27 10 00 90 00 02 00 ce | 01 19 00 d0 01 1b 00 ce |'.......|........|
|00000d80| 01 19 00 d0 01 1b 00 12 | 01 eb 00 14 01 ed 00 01 |........|........|
|00000d90| 00 00 00 00 00 a0 00 8f | 00 a0 30 39 00 a0 00 8e |........|..09....|
|00000da0| 00 90 00 02 00 cd 01 19 | 00 ce 01 1a 00 cd 01 19 |........|........|
|00000db0| 00 ce 01 1a 00 11 01 eb | 00 12 01 ec 00 01 00 00 |........|........|
|00000dc0| 00 a0 00 8f 00 a0 30 39 | 00 a0 00 8e 00 90 00 02 |......09|........|
|00000dd0| 00 cc 01 17 00 cd 01 19 | 00 cc 01 17 00 cd 01 19 |........|........|
|00000de0| 00 10 01 e9 00 11 01 eb | 00 01 c0 03 00 a0 00 8f |........|........|
|00000df0| 00 a0 30 39 00 a0 00 8e | 00 90 00 02 00 cb 01 17 |..09....|........|
|00000e00| 00 cc 01 18 00 cb 01 17 | 00 cc 01 18 00 0f 01 e9 |........|........|
|00000e10| 00 10 01 ea 00 01 80 01 | 00 a0 00 8f 00 a0 30 39 |........|......09|
|00000e20| 00 a0 00 8e 00 90 00 02 | 00 ca 01 16 00 cb 01 17 |........|........|
|00000e30| 00 ca 01 16 00 cb 01 17 | 00 0e 01 e8 00 0f 01 e9 |........|........|
|00000e40| 00 01 80 01 00 a0 00 8f | 00 a0 30 39 00 a0 00 8e |........|..09....|
|00000e50| 00 90 00 02 00 ca 01 15 | 00 cb 01 16 00 ca 01 15 |........|........|
|00000e60| 00 cb 01 16 00 0e 01 e7 | 00 0f 01 e8 00 01 80 01 |........|........|
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|00001b40| 00 0c 00 10 00 00 88 02 | 00 a1 27 12 00 14 00 01 |........|..'.....|
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|00001c40| 00 96 00 06 05 00 00 00 | 02 00 00 a1 27 11 00 1e |........|....'...|
|00001c50| 00 b7 00 43 00 c7 00 6d | 00 00 00 01 00 00 00 00 |...C...m|........|
|00001c60| 00 00 00 00 00 00 00 0c | 00 10 00 00 88 02 00 a1 |........|........|
|00001c70| 27 12 00 14 00 01 00 00 | 00 00 00 00 00 00 00 00 |'.......|........|
|00001c80| 07 43 68 69 63 61 67 6f | 00 01 00 0a 00 b7 00 3e |.Chicago|.......>|
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|00001d50| 00 64 00 c8 00 8f 00 1e | 00 01 00 0a d8 f0 d8 f0 |.d......|........|
|00001d60| 27 10 27 10 00 08 00 09 | 00 30 00 b6 00 64 00 c8 |'.'.....|.0...d..|
|00001d70| 00 8f 00 a1 00 96 00 06 | 05 00 00 00 02 00 00 a1 |........|........|
|00001d80| 27 11 00 1e 00 b7 00 69 | 00 c7 00 93 00 00 00 01 |'......i|........|
|00001d90| 00 00 00 00 00 00 00 00 | 00 00 00 0c 00 10 00 00 |........|........|
|00001da0| 88 02 00 a1 27 12 00 14 | 00 01 00 00 00 00 00 00 |....'...|........|
|00001db0| 00 00 00 00 07 43 68 69 | 63 61 67 6f 00 01 00 0a |.....Chi|cago....|
|00001dc0| 00 b7 00 64 27 10 00 98 | 00 0d 00 0c 00 2b 69 c3 |...d'...|.....+i.|
|00001dd0| 06 79 20 20 20 20 6e 00 | 00 a0 00 97 00 01 00 0a |.y    n.|........|
|00001de0| d8 f0 d8 f0 27 10 27 10 | 00 22 00 b6 00 79 00 11 |....'.'.|."...y..|
|00001df0| 00 a0 00 83 00 ff 27 1c | 00 00 00 04 00 b5 00 64 |......'.|.......d|
|00001e00| 27 19 00 00 00 04 01 25 | 01 b5 00 24 00 00 00 06 |'......%|...$....|
|00001e10| 13 31 30 30 13 00 00 25 | 00 00 00 06 13 31 35 30 |.100...%|.....150|
|00001e20| 13 00 00 26 00 00 00 06 | 13 31 37 30 13 00 00 27 |...&....|.170...'|
|00001e30| 00 00 00 05 13 31 38 13 | 00 52 27 da 00 00 00 07 |.....18.|.R'.....|
|00001e40| 52 65 74 75 72 6e 00 ff | 00 00 27 12 00 00 00 62 |Return..|..'....b|
|00001e50| 00 62 00 c9 00 6a 00 e0 | 00 87 00 11 02 ff 0c 00 |.b...j..|........|
|00001e60| ff ff ff ff 00 6a 00 00 | 00 c9 00 00 00 87 00 00 |.....j..|........|
|00001e70| 00 e0 00 00 00 00 00 00 | 00 a0 00 82 00 a1 27 14 |........|......'.|
|00001e80| 00 08 00 c9 00 6a 00 e0 | 00 87 00 1e 00 01 00 0a |.....j..|........|
|00001e90| d8 f0 d8 f0 27 10 27 10 | 00 07 00 04 00 04 00 08 |....'.'.|........|
|00001ea0| 00 09 00 30 00 c9 00 6a | 00 e0 00 87 00 a0 00 83 |...0...j|........|
|00001eb0| 00 ff 27 1c 00 00 00 04 | 00 c9 00 6a 00 00 27 12 |..'.....|...j..'.|
|00001ec0| 00 00 00 da 00 da 00 b5 | 00 92 00 c8 00 c6 00 11 |........|........|
|00001ed0| 02 ff 0c 00 ff ff ff ff | 00 92 00 00 00 b5 00 00 |........|........|
|00001ee0| 00 c6 00 00 00 c8 00 00 | 00 00 00 00 00 a0 00 82 |........|........|
|00001ef0| 00 a1 27 14 00 08 00 b5 | 00 92 00 c8 00 bd 00 1e |..'.....|........|
|00001f00| 00 01 00 0a d8 f0 d8 f0 | 27 10 27 10 00 08 00 09 |........|'.'.....|
|00001f10| 00 30 00 b6 00 92 00 c8 | 00 bd 00 a1 00 96 00 06 |.0......|........|
|00001f20| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 b7 00 97 |........|'.......|
|00001f30| 00 c7 00 c1 00 00 00 01 | 00 00 00 00 00 00 00 00 |........|........|
|00001f40| 00 00 00 0c 00 10 00 00 | 88 02 00 a1 27 12 00 14 |........|....'...|
|00001f50| 00 01 00 00 00 00 00 00 | 00 00 00 00 07 43 68 69 |........|.....Chi|
|00001f60| 63 61 67 6f 00 01 00 0a | 00 b7 00 92 27 10 00 c6 |cago....|....'...|
|00001f70| 00 0d 00 0c 00 2b 97 c3 | 06 79 20 20 20 20 6e 00 |.....+..|.y    n.|
|00001f80| 00 a0 00 97 00 01 00 0a | d8 f0 d8 f0 27 10 27 10 |........|....'.'.|
|00001f90| 00 22 00 b6 00 a7 00 11 | 00 a0 00 83 00 ff 27 1c |."......|......'.|
|00001fa0| 00 00 00 04 00 b5 00 92 | 27 19 00 00 00 04 01 25 |........|'......%|
|00001fb0| 01 b5 00 24 00 00 00 06 | 13 31 30 30 13 00 00 25 |...$....|.100...%|
|00001fc0| 00 00 00 06 13 31 35 30 | 13 00 00 26 00 00 00 06 |.....150|...&....|
|00001fd0| 13 31 37 30 13 00 00 27 | 00 00 00 05 13 31 38 13 |.170...'|.....18.|
|00001fe0| 00 52 27 da 00 00 00 07 | 52 65 74 75 72 6e 00 ff |.R'.....|Return..|
|00001ff0| 00 00 27 12 00 00 00 70 | 00 70 00 80 01 69 00 94 |..'....p|.p...i..|
|00002000| 01 7d 00 11 02 ff 0c 00 | ff ff ff ff 01 69 00 00 |.}......|.....i..|
|00002010| 00 80 00 00 01 7d 00 00 | 00 94 00 00 00 00 00 00 |.....}..|........|
|00002020| 00 a0 00 82 00 a1 27 14 | 00 08 00 80 01 69 00 94 |......'.|.....i..|
|00002030| 01 7d 00 a0 00 8c 00 1e | 00 01 00 0a d8 f0 d8 f0 |.}......|........|
|00002040| 27 10 27 10 00 07 00 02 | 00 02 00 08 00 09 00 22 |'.'.....|......."|
|00002050| 00 88 01 69 00 0a 00 22 | 00 80 01 7b ef 11 00 a0 |...i..."|...{....|
|00002060| 00 8d 00 a0 00 83 00 ff | 27 1c 00 00 00 04 00 80 |........|'.......|
|00002070| 01 69 00 00 00 01 00 00 | 00 0c 16 87 a9 ec 80 80 |.i......|........|
|00002080| 16 0b 13 32 13 00 27 12 | 00 00 01 2c 01 2c 00 a9 |...2..'.|...,.,..|
|00002090| 00 a6 00 d0 01 ae 00 11 | 02 ff 0c 00 ff ff ff ff |........|........|
|000020a0| 00 a6 00 00 00 a9 00 00 | 01 ae 00 00 00 d0 00 00 |........|........|
|000020b0| 00 00 00 00 00 a0 00 82 | 00 a1 27 14 00 08 00 a9 |........|..'.....|
|000020c0| 00 a6 00 d0 01 ae 00 a1 | 00 96 00 06 05 00 00 00 |........|........|
|000020d0| 02 00 00 a1 27 11 00 1e | 00 ae 00 af 00 ca 01 a2 |....'...|........|
|000020e0| 00 00 00 01 00 00 00 00 | 00 00 00 00 00 03 00 0a |........|........|
|000020f0| 00 0d 00 00 88 02 00 a1 | 27 12 00 13 00 01 00 00 |........|'.......|
|00002100| 00 00 00 03 00 03 00 00 | 06 47 65 6e 65 76 61 00 |........|.Geneva.|
|00002110| 00 1e 00 01 00 0a 00 ae | 00 aa 27 10 01 a7 00 2c |........|..'....,|
|00002120| 00 09 00 03 06 47 65 6e | 65 76 61 00 00 03 00 03 |.....Gen|eva.....|
|00002130| 00 0d 00 0a 00 2b af b8 | 32 54 61 6b 69 6e 67 20 |.....+..|2Taking |
|00002140| 65 61 63 68 20 64 65 6e | 6f 6d 69 6e 61 74 6f 72 |each den|ominator|
|00002150| 20 61 6e 64 20 6f 6d 69 | 74 74 69 6e 67 20 72 65 | and omi|tting re|
|00002160| 70 65 74 69 74 69 6f 6e | 73 2c 20 00 00 2a 0e 24 |petition|s, ..*.$|
|00002170| 74 68 65 72 65 20 61 72 | 65 20 31 38 20 70 6f 74 |there ar|e 18 pot|
|00002180| 65 6e 74 69 61 6c 20 63 | 6f 6d 62 69 6e 61 74 69 |ential c|ombinati|
|00002190| 6f 6e 73 2e 00 a0 00 97 | 00 01 00 0a d8 f0 d8 f0 |ons.....|........|
|000021a0| 27 10 27 10 00 08 00 09 | 00 30 00 a9 00 a6 00 d0 |'.'.....|.0......|
|000021b0| 01 ae 00 a0 00 83 00 ff | 27 1c 00 00 00 04 00 a9 |........|'.......|
|000021c0| 00 a6 00 00 27 12 00 00 | 01 20 01 20 00 b7 00 97 |....'...|. . ....|
|000021d0| 00 dd 01 63 00 11 02 ff | 0c 00 ff ff ff ff 00 97 |...c....|........|
|000021e0| 00 00 00 b7 00 00 01 63 | 00 00 00 dd 00 00 00 00 |.......c|........|
|000021f0| 00 00 00 a0 00 82 00 a1 | 27 14 00 08 00 b7 00 97 |........|'.......|
|00002200| 00 dd 01 5d 00 a1 00 96 | 00 06 05 00 00 00 02 00 |...]....|........|
|00002210| 00 a1 27 11 00 1e 00 bd | 00 9e 00 d9 01 5e 00 00 |..'.....|.....^..|
|00002220| 00 01 00 00 00 00 00 00 | 00 00 00 03 00 0a 00 0d |........|........|
|00002230| 00 00 88 02 00 a1 27 12 | 00 13 00 01 00 00 00 00 |......'.|........|
|00002240| 00 03 00 03 00 00 06 47 | 65 6e 65 76 61 00 00 1e |.......G|eneva...|
|00002250| 00 01 00 0a 00 bd 00 99 | 27 10 01 63 00 2c 00 09 |........|'..c.,..|
|00002260| 00 03 06 47 65 6e 65 76 | 61 00 00 03 00 03 00 0d |...Genev|a.......|
|00002270| 00 0a 00 2b 9e c7 26 54 | 72 79 20 61 67 61 69 6e |...+..&T|ry again|
|00002280| 2e 20 20 55 73 65 20 65 | 61 63 68 20 64 65 6e 6f |.  Use e|ach deno|
|00002290| 6d 69 6e 61 74 6f 72 20 | 77 69 74 68 20 00 00 2a |minator |with ..*|
|000022a0| 0e 24 65 61 63 68 20 6e | 75 6d 65 72 61 74 6f 72 |.$each n|umerator|
|000022b0| 20 61 6e 64 20 6f 6d 69 | 74 20 72 65 70 65 74 69 | and omi|t repeti|
|000022c0| 74 69 6f 6e 73 2e 00 a0 | 00 97 00 01 00 0a d8 f0 |tions...|........|
|000022d0| d8 f0 27 10 27 10 00 08 | 00 09 00 30 00 b7 00 97 |..'.'...|...0....|
|000022e0| 00 dd 01 5d 00 a0 00 83 | 00 ff 27 1c 00 00 00 04 |...]....|..'.....|
|000022f0| 00 b7 00 97 00 00 27 12 | 00 00 01 a0 01 a0 00 7a |......'.|.......z|
|00002300| 00 23 00 a8 01 9d 00 11 | 02 ff 0c 00 ff ff ff ff |.#......|........|
|00002310| 00 23 00 00 00 7a 00 00 | 01 9d 00 00 00 a8 00 00 |.#...z..|........|
|00002320| 00 00 00 00 00 a0 00 82 | 00 a1 27 14 00 08 00 00 |........|..'.....|
|00002330| 00 00 00 00 00 00 00 a1 | 00 96 00 06 05 00 00 00 |........|........|
|00002340| 02 00 00 a1 27 11 00 2a | 00 7a 00 28 00 a8 01 98 |....'..*|.z.(....|
|00002350| 00 00 00 02 00 00 00 00 | 00 00 00 00 00 00 00 0c |........|........|
|00002360| 00 10 00 00 88 02 00 34 | 00 03 00 0a 00 0d 00 00 |.......4|........|
|00002370| 88 02 00 a1 27 12 00 21 | 00 02 00 00 00 00 00 00 |....'..!|........|
|00002380| 00 00 00 00 00 03 00 03 | 00 08 07 43 68 69 63 61 |........|...Chica|
|00002390| 67 6f 06 47 65 6e 65 76 | 61 00 00 1e 00 01 00 0a |go.Genev|a.......|
|000023a0| 00 7a 00 23 27 10 01 9d | 00 0d 00 0c 00 2b 28 86 |.z.#'...|.....+(.|
|000023b0| 2c 54 68 65 72 65 66 6f | 72 65 20 74 68 65 20 70 |,Therefo|re the p|
|000023c0| 6f 73 73 69 62 6c 65 20 | 72 61 74 69 6f 6e 61 6c |ossible |rational|
|000023d0| 20 7a 65 72 6f 73 2c 20 | 61 2f 62 3a 0d 00 00 2a | zeros, |a/b:...*|
|000023e0| 10 08 20 20 20 20 20 20 | 20 20 00 2c 00 09 00 03 |..      |  .,....|
|000023f0| 06 47 65 6e 65 76 61 00 | 00 03 00 03 00 0d 00 0a |.Geneva.|........|
|00002400| 00 29 20 40 b1 31 2c 20 | 20 b1 31 2f 32 2c 20 20 |.) @.1, | .1/2,  |
|00002410| b1 31 2f 33 2c 20 20 b1 | 31 2f 36 2c 20 20 b1 31 |.1/3,  .|1/6,  .1|
|00002420| 2f 39 2c 20 20 b1 31 2f | 31 38 2c 20 20 b1 32 2c |/9,  .1/|18,  .2,|
|00002430| 20 20 20 20 b1 32 2f 33 | 2c 20 20 20 20 20 b1 32 |    .2/3|,     .2|
|00002440| 2f 39 2c 0d 00 28 00 a4 | 00 28 47 20 20 20 20 20 |/9,..(..|.(G     |
|00002450| 20 20 20 20 20 20 b1 35 | 2c 20 20 b1 35 2f 32 2c |      .5|,  .5/2,|
|00002460| 20 20 b1 35 2f 33 2c 20 | 20 b1 35 2f 36 2c 20 20 |  .5/3, | .5/6,  |
|00002470| b1 35 2f 39 2c 20 20 b1 | 35 2f 31 38 2c 20 20 b1 |.5/9,  .|5/18,  .|
|00002480| 31 30 2c 20 20 b1 31 30 | 2f 33 2c 20 20 b1 31 30 |10,  .10|/3,  .10|
|00002490| 2f 39 00 a0 00 97 00 a0 | 00 83 00 ff 27 1c 00 00 |/9......|....'...|
|000024a0| 00 04 00 6a 00 0a 00 00 | 27 12 00 00 02 44 02 44 |...j....|'....D.D|
|000024b0| 00 5a 00 05 00 7f 01 76 | 00 11 02 ff 0c 00 ff ff |.Z.....v|........|
|000024c0| ff ff 00 05 00 00 00 5a | 00 00 01 76 00 00 00 7f |.......Z|...v....|
|000024d0| 00 00 00 00 00 00 00 a0 | 00 82 00 a1 27 14 00 08 |........|....'...|
|000024e0| 00 72 00 bd 00 74 00 e0 | 00 a1 00 96 00 06 05 00 |.r...t..|........|
|000024f0| 00 00 02 00 00 a1 27 11 | 00 1e 00 5a 00 0a 00 7a |......'.|...Z...z|
|00002500| 01 71 00 00 00 01 00 00 | 00 00 00 00 00 00 00 00 |.q......|........|
|00002510| 00 0c 00 10 00 00 88 02 | 00 a1 27 12 00 14 00 01 |........|..'.....|
|00002520| 00 00 00 00 00 00 00 00 | 00 00 07 43 68 69 63 61 |........|...Chica|
|00002530| 67 6f 00 1e 00 01 00 0a | 00 5a 00 05 27 10 01 76 |go......|.Z..'..v|
|00002540| 00 0d 00 0c 00 2b 0a 66 | 3a 54 68 65 20 7a 65 72 |.....+.f|:The zer|
|00002550| 6f 73 20 6f 66 20 74 68 | 65 20 66 75 6e 63 74 69 |os of th|e functi|
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|00002570| 33 29 28 35 78 20 d0 20 | 37 29 28 78 20 2b 20 31 |3)(5x . |7)(x + 1|
|00002580| 31 29 20 00 00 2a 10 36 | 61 72 65 20 74 68 65 20 |1) ..*.6|are the |
|00002590| 72 61 74 69 6f 6e 61 6c | 20 6e 75 6d 62 65 72 73 |rational| numbers|
|000025a0| 20 20 20 20 20 20 20 2c | 20 20 20 20 20 20 2c 20 |       ,|      , |
|000025b0| 61 6e 64 20 20 20 20 20 | 20 20 20 2e 20 20 00 a0 |and     |   .  ..|
|000025c0| 00 97 00 a0 00 8c 00 a1 | 00 96 00 06 05 00 00 00 |........|........|
|000025d0| 02 00 00 a1 27 11 00 1e | 00 67 00 bf 00 7f 00 d3 |....'...|.g......|
|000025e0| 00 00 00 01 00 00 00 00 | 00 00 00 00 00 03 01 09 |........|........|
|000025f0| 00 0c 00 00 88 02 00 a1 | 27 12 00 13 00 01 00 00 |........|'.......|
|00002600| 00 00 00 03 00 03 00 00 | 06 47 65 6e 65 76 61 00 |........|.Geneva.|
|00002610| 00 01 00 0a 00 67 00 ba | 27 10 00 d8 00 2c 00 09 |.....g..|'....,..|
|00002620| 00 03 06 47 65 6e 65 76 | 61 00 00 03 00 03 00 04 |...Genev|a.......|
|00002630| 01 00 00 0d 00 09 00 28 | 00 71 00 bf 02 33 0d 00 |.......(|.q...3..|
|00002640| 00 2a 0c 01 32 00 00 a0 | 00 97 00 01 00 0a d8 f0 |.*..2...|........|
|00002650| d8 f0 27 10 27 10 00 08 | 00 09 00 22 00 73 00 be |..'.'...|...".s..|
|00002660| 07 00 00 a0 00 8d 00 a0 | 00 8c 00 a1 00 96 00 06 |........|........|
|00002670| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 67 00 d9 |........|'....g..|
|00002680| 00 7f 00 ed 00 00 00 01 | 00 00 00 00 00 00 00 00 |........|........|
|00002690| 00 03 01 09 00 0c 00 00 | 88 02 00 a1 27 12 00 13 |........|....'...|
|000026a0| 00 01 00 00 00 00 00 03 | 00 03 00 00 06 47 65 6e |........|.....Gen|
|000026b0| 65 76 61 00 00 01 00 0a | 00 67 00 d4 27 10 00 f2 |eva.....|.g..'...|
|000026c0| 00 28 00 71 00 d9 02 37 | 0d 00 00 2a 0c 01 35 00 |.(.q...7|...*..5.|
|000026d0| 00 a0 00 97 00 01 00 0a | d8 f0 d8 f0 27 10 27 10 |........|....'.'.|
|000026e0| 00 22 00 73 00 d8 07 00 | 00 a0 00 8d 00 a0 00 83 |.".s....|........|
|000026f0| 00 ff 27 1c 00 00 00 04 | 00 5a 00 05 00 00 27 12 |..'.....|.Z....'.|
|00002700| 00 00 00 da 00 da 00 b4 | 00 be 00 c7 00 f2 00 11 |........|........|
|00002710| 02 ff 0c 00 ff ff ff ff | 00 be 00 00 00 b4 00 00 |........|........|
|00002720| 00 f2 00 00 00 c7 00 00 | 00 00 00 00 00 a0 00 82 |........|........|
|00002730| 00 a1 27 14 00 08 00 b4 | 00 be 00 c7 00 e9 00 1e |..'.....|........|
|00002740| 00 01 00 0a d8 f0 d8 f0 | 27 10 27 10 00 08 00 09 |........|'.'.....|
|00002750| 00 30 00 b5 00 be 00 c7 | 00 e9 00 a1 00 96 00 06 |.0......|........|
|00002760| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 b6 00 c3 |........|'.......|
|00002770| 00 c6 00 ed 00 00 00 01 | 00 00 00 00 00 00 00 00 |........|........|
|00002780| 00 00 00 0c 00 10 00 00 | 88 02 00 a1 27 12 00 14 |........|....'...|
|00002790| 00 01 00 00 00 00 00 00 | 00 00 00 00 07 43 68 69 |........|.....Chi|
|000027a0| 63 61 67 6f 00 01 00 0a | 00 b6 00 be 27 10 00 f2 |cago....|....'...|
|000027b0| 00 0d 00 0c 00 2b c3 c2 | 06 79 20 20 20 20 6e 00 |.....+..|.y    n.|
|000027c0| 00 a0 00 97 00 01 00 0a | d8 f0 d8 f0 27 10 27 10 |........|....'.'.|
|000027d0| 00 22 00 b5 00 d3 00 11 | 00 a0 00 83 00 ff 27 1c |."......|......'.|
|000027e0| 00 00 00 04 00 b4 00 be | 27 19 00 00 00 04 01 25 |........|'......%|
|000027f0| 01 b5 00 24 00 00 00 06 | 13 31 30 30 13 00 00 25 |...$....|.100...%|
|00002800| 00 00 00 06 13 31 35 30 | 13 00 00 26 00 00 00 06 |.....150|...&....|
|00002810| 13 31 37 30 13 00 00 27 | 00 00 00 05 13 31 38 13 |.170...'|.....18.|
|00002820| 00 52 27 da 00 00 00 07 | 52 65 74 75 72 6e 00 ff |.R'.....|Return..|
|00002830| 00 00 27 12 00 00 00 62 | 00 62 00 c9 00 c0 00 e0 |..'....b|.b......|
|00002840| 00 dd 00 11 02 ff 0c 00 | ff ff ff ff 00 c0 00 00 |........|........|
|00002850| 00 c9 00 00 00 dd 00 00 | 00 e0 00 00 00 00 00 00 |........|........|
|00002860| 00 a0 00 82 00 a1 27 14 | 00 08 00 c9 00 c0 00 e0 |......'.|........|
|00002870| 00 dd 00 1e 00 01 00 0a | d8 f0 d8 f0 27 10 27 10 |........|....'.'.|
|00002880| 00 07 00 04 00 04 00 08 | 00 09 00 30 00 c9 00 c0 |........|...0....|
|00002890| 00 e0 00 dd 00 a0 00 83 | 00 ff 27 1c 00 00 00 04 |........|..'.....|
|000028a0| 00 c9 00 c0 00 00 27 12 | 00 00 00 da 00 da 00 b4 |......'.|........|
|000028b0| 00 e3 00 c7 01 17 00 11 | 02 ff 0c 00 ff ff ff ff |........|........|
|000028c0| 00 e3 00 00 00 b4 00 00 | 01 17 00 00 00 c7 00 00 |........|........|
|000028d0| 00 00 00 00 00 a0 00 82 | 00 a1 27 14 00 08 00 b4 |........|..'.....|
|000028e0| 00 e3 00 c7 01 0e 00 1e | 00 01 00 0a d8 f0 d8 f0 |........|........|
|000028f0| 27 10 27 10 00 08 00 09 | 00 30 00 b5 00 e3 00 c7 |'.'.....|.0......|
|00002900| 01 0e 00 a1 00 96 00 06 | 05 00 00 00 02 00 00 a1 |........|........|
|00002910| 27 11 00 1e 00 b6 00 e8 | 00 c6 01 12 00 00 00 01 |'.......|........|
|00002920| 00 00 00 00 00 00 00 00 | 00 00 00 0c 00 10 00 00 |........|........|
|00002930| 88 02 00 a1 27 12 00 14 | 00 01 00 00 00 00 00 00 |....'...|........|
|00002940| 00 00 00 00 07 43 68 69 | 63 61 67 6f 00 01 00 0a |.....Chi|cago....|
|00002950| 00 b6 00 e3 27 10 01 17 | 00 0d 00 0c 00 2b e8 c2 |....'...|.....+..|
|00002960| 06 79 20 20 20 20 6e 00 | 00 a0 00 97 00 01 00 0a |.y    n.|........|
|00002970| d8 f0 d8 f0 27 10 27 10 | 00 22 00 b5 00 f8 00 11 |....'.'.|."......|
|00002980| 00 a0 00 83 00 ff 27 1c | 00 00 00 04 00 b4 00 e3 |......'.|........|
|00002990| 27 19 00 00 00 04 01 25 | 01 b5 00 24 00 00 00 06 |'......%|...$....|
|000029a0| 13 31 30 30 13 00 00 25 | 00 00 00 06 13 31 35 30 |.100...%|.....150|
|000029b0| 13 00 00 26 00 00 00 06 | 13 31 37 30 13 00 00 27 |...&....|.170...'|
|000029c0| 00 00 00 05 13 31 38 13 | 00 52 27 da 00 00 00 07 |.....18.|.R'.....|
|000029d0| 52 65 74 75 72 6e 00 ff | 00 00 27 12 00 00 00 dc |Return..|..'.....|
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|000029f0| ff ff ff ff 01 18 00 00 | 00 b4 00 00 01 4c 00 00 |........|.....L..|
|00002a00| 00 c7 00 00 00 00 00 00 | 00 a0 00 82 00 a1 27 14 |........|......'.|
|00002a10| 00 08 00 b4 01 18 00 c7 | 01 43 00 1e 00 01 00 0a |........|.C......|
|00002a20| d8 f0 d8 f0 27 10 27 10 | 00 08 00 09 00 30 00 b5 |....'.'.|.....0..|
|00002a30| 01 18 00 c7 01 43 00 a1 | 00 96 00 06 05 00 00 00 |.....C..|........|
|00002a40| 02 00 00 a1 27 11 00 1e | 00 b6 01 1d 00 c6 01 47 |....'...|.......G|
|00002a50| 00 00 00 01 00 00 00 00 | 00 00 00 00 00 00 00 0c |........|........|
|00002a60| 00 10 00 00 88 02 00 a1 | 27 12 00 14 00 01 00 00 |........|'.......|
|00002a70| 00 00 00 00 00 00 00 00 | 07 43 68 69 63 61 67 6f |........|.Chicago|
|00002a80| 00 01 00 0a 00 b6 01 18 | 27 10 01 4c 00 0d 00 0c |........|'..L....|
|00002a90| 00 28 00 c2 01 1d 06 79 | 20 20 20 20 6e 00 00 a0 |.(.....y|    n...|
|00002aa0| 00 97 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 22 |........|..'.'.."|
|00002ab0| 00 b5 01 2d 00 11 00 a0 | 00 83 00 ff 27 1c 00 00 |...-....|....'...|
|00002ac0| 00 04 00 b4 01 18 27 19 | 00 00 00 04 01 25 01 b5 |......'.|.....%..|
|00002ad0| 00 24 00 00 00 06 13 31 | 30 30 13 00 00 25 00 00 |.$.....1|00...%..|
|00002ae0| 00 06 13 31 35 30 13 00 | 00 26 00 00 00 06 13 31 |...150..|.&.....1|
|00002af0| 37 30 13 00 00 27 00 00 | 00 05 13 31 38 13 00 52 |70...'..|...18..R|
|00002b00| 27 da 00 00 00 07 52 65 | 74 75 72 6e 00 ff 00 00 |'.....Re|turn....|
|00002b10| 27 1a 00 00 00 04 00 f3 | 01 68 27 1b 00 00 00 02 |'.......|.h'.....|
|00002b20| 00 00 27 1c 00 00 00 04 | 00 7e 00 5b 00 00 27 12 |..'.....|.~.[..'.|
|00002b30| 00 00 00 dc 00 dc 00 b4 | 01 49 00 c7 01 7d 00 11 |........|.I...}..|
|00002b40| 02 ff 0c 00 ff ff ff ff | 01 49 00 00 00 b4 00 00 |........|.I......|
|00002b50| 01 7d 00 00 00 c7 00 00 | 00 00 00 00 00 a0 00 82 |.}......|........|
|00002b60| 00 a1 27 14 00 08 00 b4 | 01 49 00 c7 01 74 00 1e |..'.....|.I...t..|
|00002b70| 00 01 00 0a d8 f0 d8 f0 | 27 10 27 10 00 08 00 09 |........|'.'.....|
|00002b80| 00 30 00 b5 01 49 00 c7 | 01 74 00 a1 00 96 00 06 |.0...I..|.t......|
|00002b90| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 b6 01 4e |........|'......N|
|00002ba0| 00 c6 01 78 00 00 00 01 | 00 00 00 00 00 00 00 00 |...x....|........|
|00002bb0| 00 00 00 0c 00 10 00 00 | 88 02 00 a1 27 12 00 14 |........|....'...|
|00002bc0| 00 01 00 00 00 00 00 00 | 00 00 00 00 07 43 68 69 |........|.....Chi|
|00002bd0| 63 61 67 6f 00 01 00 0a | 00 b6 01 49 27 10 01 7d |cago....|...I'..}|
|00002be0| 00 0d 00 0c 00 28 00 c2 | 01 4e 06 79 20 20 20 20 |.....(..|.N.y    |
|00002bf0| 6e 00 00 a0 00 97 00 01 | 00 0a d8 f0 d8 f0 27 10 |n.......|......'.|
|00002c00| 27 10 00 22 00 b5 01 5e | 00 11 00 a0 00 83 00 ff |'.."...^|........|
|00002c10| 27 1c 00 00 00 04 00 b4 | 01 49 27 19 00 00 00 04 |'.......|.I'.....|
|00002c20| 01 25 01 b5 00 24 00 00 | 00 06 13 31 30 30 13 00 |.%...$..|...100..|
|00002c30| 00 25 00 00 00 06 13 31 | 35 30 13 00 00 26 00 00 |.%.....1|50...&..|
|00002c40| 00 06 13 31 37 30 13 00 | 00 27 00 00 00 05 13 31 |...170..|.'.....1|
|00002c50| 38 13 00 52 27 da 00 00 | 00 07 52 65 74 75 72 6e |8..R'...|..Return|
|00002c60| 00 ff 00 00 27 12 00 00 | 00 dc 00 dc 00 b4 01 71 |....'...|.......q|
|00002c70| 00 c7 01 a5 00 11 02 ff | 0c 00 ff ff ff ff 01 71 |........|.......q|
|00002c80| 00 00 00 b4 00 00 01 a5 | 00 00 00 c7 00 00 00 00 |........|........|
|00002c90| 00 00 00 a0 00 82 00 a1 | 27 14 00 08 00 b4 01 71 |........|'......q|
|00002ca0| 00 c7 01 9c 00 1e 00 01 | 00 0a d8 f0 d8 f0 27 10 |........|......'.|
|00002cb0| 27 10 00 08 00 09 00 30 | 00 b5 01 71 00 c7 01 9c |'......0|...q....|
|00002cc0| 00 a1 00 96 00 06 05 00 | 00 00 02 00 00 a1 27 11 |........|......'.|
|00002cd0| 00 1e 00 b6 01 76 00 c6 | 01 a0 00 00 00 01 00 00 |.....v..|........|
|00002ce0| 00 00 00 00 00 00 00 00 | 00 0c 00 10 00 00 88 02 |........|........|
|00002cf0| 00 a1 27 12 00 14 00 01 | 00 00 00 00 00 00 00 00 |..'.....|........|
|00002d00| 00 00 07 43 68 69 63 61 | 67 6f 00 01 00 0a 00 b6 |...Chica|go......|
|00002d10| 01 71 27 10 01 a5 00 0d | 00 0c 00 28 00 c2 01 76 |.q'.....|...(...v|
|00002d20| 06 79 20 20 20 20 6e 00 | 00 a0 00 97 00 01 00 0a |.y    n.|........|
|00002d30| d8 f0 d8 f0 27 10 27 10 | 00 22 00 b5 01 86 00 11 |....'.'.|."......|
|00002d40| 00 a0 00 83 00 ff 27 1c | 00 00 00 04 00 b4 01 71 |......'.|.......q|
|00002d50| 27 19 00 00 00 04 01 25 | 01 b5 00 24 00 00 00 06 |'......%|...$....|
|00002d60| 13 31 30 30 13 00 00 25 | 00 00 00 06 13 31 35 30 |.100...%|.....150|
|00002d70| 13 00 00 26 00 00 00 06 | 13 31 37 30 13 00 00 27 |...&....|.170...'|
|00002d80| 00 00 00 05 13 31 38 13 | 00 52 27 da 00 00 00 07 |.....18.|.R'.....|
|00002d90| 52 65 74 75 72 6e 00 ff | 00 00 27 12 00 00 01 04 |Return..|..'.....|
|00002da0| 01 04 00 f7 00 1e 01 17 | 01 68 00 11 02 ff 0c 00 |........|.h......|
|00002db0| ff ff ff ff 00 1e 00 00 | 00 f7 00 00 01 68 00 00 |........|.....h..|
|00002dc0| 01 17 00 00 00 00 00 00 | 00 a0 00 82 00 a1 27 14 |........|......'.|
|00002dd0| 00 08 00 00 00 00 00 00 | 00 00 00 a1 00 96 00 06 |........|........|
|00002de0| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 f7 00 23 |........|'......#|
|00002df0| 01 17 01 63 00 00 00 01 | 00 00 00 00 00 00 00 00 |...c....|........|
|00002e00| 00 00 00 0c 00 10 00 00 | 88 02 00 a1 27 12 00 14 |........|....'...|
|00002e10| 00 01 00 00 00 00 00 00 | 00 00 00 00 07 43 68 69 |........|.....Chi|
|00002e20| 63 61 67 6f 00 1e 00 01 | 00 0a 00 f7 00 1e 27 10 |cago....|......'.|
|00002e30| 01 68 00 05 00 00 00 0d | 00 0c 00 28 01 03 00 23 |.h......|...(...#|
|00002e40| 30 54 68 65 20 63 6f 6e | 73 74 61 6e 74 20 74 65 |0The con|stant te|
|00002e50| 72 6d 20 69 73 20 38 3b | 20 74 68 65 72 65 66 6f |rm is 8;| therefo|
|00002e60| 72 65 2c 20 74 68 65 20 | 70 6f 73 73 69 62 6c 65 |re, the |possible|
|00002e70| 20 00 00 2a 10 23 69 6e | 74 65 67 72 61 6c 20 7a | ..*.#in|tegral z|
|00002e80| 65 72 6f 73 20 61 72 65 | 20 20 b1 31 2c 20 b1 32 |eros are|  .1, .2|
|00002e90| 2c 20 b1 34 2c 20 b1 38 | 2e 00 00 a0 00 97 00 a0 |, .4, .8|........|
|00002ea0| 00 83 00 ff 27 1c 00 00 | 00 04 00 f7 00 1e 00 00 |....'...|........|
|00002eb0| 27 12 00 00 00 da 00 da | 00 b5 00 3e 00 c8 00 72 |'.......|...>...r|
|00002ec0| 00 11 02 ff 0c 00 ff ff | ff ff 00 3e 00 00 00 b5 |........|...>....|
|00002ed0| 00 00 00 72 00 00 00 c8 | 00 00 00 00 00 00 00 a0 |...r....|........|
|00002ee0| 00 82 00 a1 27 14 00 08 | 00 b5 00 3e 00 c8 00 69 |....'...|...>...i|
|00002ef0| 00 1e 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 08 |........|..'.'...|
|00002f00| 00 09 00 30 00 b6 00 3e | 00 c8 00 69 00 a1 00 96 |...0...>|...i....|
|00002f10| 00 06 05 00 00 00 02 00 | 00 a1 27 11 00 1e 00 b7 |........|..'.....|
|00002f20| 00 43 00 c7 00 6d 00 00 | 00 01 00 00 00 00 00 00 |.C...m..|........|
|00002f30| 00 00 00 00 00 0c 00 10 | 00 00 88 02 00 a1 27 12 |........|......'.|
|00002f40| 00 14 00 01 00 00 00 00 | 00 00 00 00 00 00 07 43 |........|.......C|
|00002f50| 68 69 63 61 67 6f 00 01 | 00 0a 00 b7 00 3e 27 10 |hicago..|.....>'.|
|00002f60| 00 72 00 0d 00 0c 00 2b | 43 c3 06 79 20 20 20 20 |.r.....+|C..y    |
|00002f70| 6e 00 00 a0 00 97 00 01 | 00 0a d8 f0 d8 f0 27 10 |n.......|......'.|
|00002f80| 27 10 00 22 00 b6 00 53 | 00 11 00 a0 00 83 00 ff |'.."...S|........|
|00002f90| 27 1c 00 00 00 04 00 b5 | 00 3e 27 19 00 00 00 04 |'.......|.>'.....|
|00002fa0| 01 25 01 b5 00 24 00 00 | 00 06 13 31 30 30 13 00 |.%...$..|...100..|
|00002fb0| 00 25 00 00 00 06 13 31 | 35 30 13 00 00 26 00 00 |.%.....1|50...&..|
|00002fc0| 00 06 13 31 37 30 13 00 | 00 27 00 00 00 05 13 31 |...170..|.'.....1|
|00002fd0| 38 13 00 52 27 da 00 00 | 00 07 52 65 74 75 72 6e |8..R'...|..Return|
|00002fe0| 00 ff 00 00 27 12 00 00 | 00 62 00 62 00 c9 00 43 |....'...|.b.b...C|
|00002ff0| 00 e0 00 60 00 11 02 ff | 0c 00 ff ff ff ff 00 43 |...`....|.......C|
|00003000| 00 00 00 c9 00 00 00 60 | 00 00 00 e0 00 00 00 00 |.......`|........|
|00003010| 00 00 00 a0 00 82 00 a1 | 27 14 00 08 00 c9 00 43 |........|'......C|
|00003020| 00 e0 00 60 00 1e 00 01 | 00 0a d8 f0 d8 f0 27 10 |...`....|......'.|
|00003030| 27 10 00 07 00 04 00 04 | 00 08 00 09 00 30 00 c9 |'.......|.....0..|
|00003040| 00 43 00 e0 00 60 00 a0 | 00 83 00 ff 27 1c 00 00 |.C...`..|....'...|
|00003050| 00 04 00 c9 00 43 00 00 | 27 12 00 00 00 da 00 da |.....C..|'.......|
|00003060| 00 b5 00 64 00 c8 00 98 | 00 11 02 ff 0c 00 ff ff |...d....|........|
|00003070| ff ff 00 64 00 00 00 b5 | 00 00 00 98 00 00 00 c8 |...d....|........|
|00003080| 00 00 00 00 00 00 00 a0 | 00 82 00 a1 27 14 00 08 |........|....'...|
|00003090| 00 b5 00 64 00 c8 00 8f | 00 1e 00 01 00 0a d8 f0 |...d....|........|
|000030a0| d8 f0 27 10 27 10 00 08 | 00 09 00 30 00 b6 00 64 |..'.'...|...0...d|
|000030b0| 00 c8 00 8f 00 a1 00 96 | 00 06 05 00 00 00 02 00 |........|........|
|000030c0| 00 a1 27 11 00 1e 00 b7 | 00 69 00 c7 00 93 00 00 |..'.....|.i......|
|000030d0| 00 01 00 00 00 00 00 00 | 00 00 00 00 00 0c 00 10 |........|........|
|000030e0| 00 00 88 02 00 a1 27 12 | 00 14 00 01 00 00 00 00 |......'.|........|
|000030f0| 00 00 00 00 00 00 07 43 | 68 69 63 61 67 6f 00 01 |.......C|hicago..|
|00003100| 00 0a 00 b7 00 64 27 10 | 00 98 00 0d 00 0c 00 2b |.....d'.|.......+|
|00003110| 69 c3 06 79 20 20 20 20 | 6e 00 00 a0 00 97 00 01 |i..y    |n.......|
|00003120| 00 0a d8 f0 d8 f0 27 10 | 27 10 00 22 00 b6 00 79 |......'.|'.."...y|
|00003130| 00 11 00 a0 00 83 00 ff | 27 1c 00 00 00 04 00 b5 |........|'.......|
|00003140| 00 64 27 19 00 00 00 04 | 01 25 01 b5 00 24 00 00 |.d'.....|.%...$..|
|00003150| 00 06 13 31 30 30 13 00 | 00 25 00 00 00 06 13 31 |...100..|.%.....1|
|00003160| 35 30 13 00 00 26 00 00 | 00 06 13 31 37 30 13 00 |50...&..|...170..|
|00003170| 00 27 00 00 00 05 13 31 | 38 13 00 52 27 da 00 00 |.'.....1|8..R'...|
|00003180| 00 07 52 65 74 75 72 6e | 00 ff 00 00 27 12 00 00 |..Return|....'...|
|00003190| 00 62 00 62 00 c9 00 6a | 00 e0 00 87 00 11 02 ff |.b.b...j|........|
|000031a0| 0c 00 ff ff ff ff 00 6a | 00 00 00 c9 00 00 00 87 |.......j|........|
|000031b0| 00 00 00 e0 00 00 00 00 | 00 00 00 a0 00 82 00 a1 |........|........|
|000031c0| 27 14 00 08 00 c9 00 6a | 00 e0 00 87 00 1e 00 01 |'......j|........|
|000031d0| 00 0a d8 f0 d8 f0 27 10 | 27 10 00 07 00 04 00 04 |......'.|'.......|
|000031e0| 00 08 00 09 00 30 00 c9 | 00 6a 00 e0 00 87 00 a0 |.....0..|.j......|
|000031f0| 00 83 00 ff 27 1c 00 00 | 00 04 00 c9 00 6a 00 00 |....'...|.....j..|
|00003200| 27 12 00 00 00 da 00 da | 00 b5 00 92 00 c8 00 c6 |'.......|........|
|00003210| 00 11 02 ff 0c 00 ff ff | ff ff 00 92 00 00 00 b5 |........|........|
|00003220| 00 00 00 c6 00 00 00 c8 | 00 00 00 00 00 00 00 a0 |........|........|
|00003230| 00 82 00 a1 27 14 00 08 | 00 b5 00 92 00 c8 00 bd |....'...|........|
|00003240| 00 1e 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 08 |........|..'.'...|
|00003250| 00 09 00 30 00 b6 00 92 | 00 c8 00 bd 00 a1 00 96 |...0....|........|
|00003260| 00 06 05 00 00 00 02 00 | 00 a1 27 11 00 1e 00 b7 |........|..'.....|
|00003270| 00 97 00 c7 00 c1 00 00 | 00 01 00 00 00 00 00 00 |........|........|
|00003280| 00 00 00 00 00 0c 00 10 | 00 00 88 02 00 a1 27 12 |........|......'.|
|00003290| 00 14 00 01 00 00 00 00 | 00 00 00 00 00 00 07 43 |........|.......C|
|000032a0| 68 69 63 61 67 6f 00 01 | 00 0a 00 b7 00 92 27 10 |hicago..|......'.|
|000032b0| 00 c6 00 0d 00 0c 00 2b | 97 c3 06 79 20 20 20 20 |.......+|...y    |
|000032c0| 6e 00 00 a0 00 97 00 01 | 00 0a d8 f0 d8 f0 27 10 |n.......|......'.|
|000032d0| 27 10 00 22 00 b6 00 a7 | 00 11 00 a0 00 83 00 ff |'.."....|........|
|000032e0| 27 1c 00 00 00 04 00 b5 | 00 92 27 19 00 00 00 04 |'.......|..'.....|
|000032f0| 01 25 01 b5 00 24 00 00 | 00 06 13 31 30 30 13 00 |.%...$..|...100..|
|00003300| 00 25 00 00 00 06 13 31 | 35 30 13 00 00 26 00 00 |.%.....1|50...&..|
|00003310| 00 06 13 31 37 30 13 00 | 00 27 00 00 00 05 13 31 |...170..|.'.....1|
|00003320| 38 13 00 52 27 da 00 00 | 00 07 52 65 74 75 72 6e |8..R'...|..Return|
|00003330| 00 ff 00 00 27 12 00 00 | 00 62 00 62 00 c9 00 6a |....'...|.b.b...j|
|00003340| 00 e0 00 87 00 11 02 ff | 0c 00 ff ff ff ff 00 6a |........|.......j|
|00003350| 00 00 00 c9 00 00 00 87 | 00 00 00 e0 00 00 00 00 |........|........|
|00003360| 00 00 00 a0 00 82 00 a1 | 27 14 00 08 00 c9 00 6a |........|'......j|
|00003370| 00 e0 00 87 00 1e 00 01 | 00 0a d8 f0 d8 f0 27 10 |........|......'.|
|00003380| 27 10 00 07 00 04 00 04 | 00 08 00 09 00 30 00 c9 |'.......|.....0..|
|00003390| 00 6a 00 e0 00 87 00 a0 | 00 83 00 ff 27 1c 00 00 |.j......|....'...|
|000033a0| 00 04 00 c9 00 95 27 1b | 00 00 00 02 00 00 00 00 |......'.|........|
|000033b0| 27 12 00 00 00 e2 00 e2 | 00 b4 00 bb 00 c7 00 f0 |'.......|........|
|000033c0| 00 11 02 ff 0c 00 ff ff | ff ff 00 bb 00 00 00 b4 |........|........|
|000033d0| 00 00 00 f0 00 00 00 c7 | 00 00 00 00 00 00 00 a0 |........|........|
|000033e0| 00 82 00 a1 27 14 00 08 | 00 b4 00 bb 00 c7 00 e6 |....'...|........|
|000033f0| 00 a0 00 8c 00 1e 00 01 | 00 0a d8 f0 d8 f0 27 10 |........|......'.|
|00003400| 27 10 00 08 00 09 00 30 | 00 b5 00 bb 00 c7 00 e6 |'......0|........|
|00003410| 00 a1 00 96 00 06 05 00 | 00 00 02 00 00 a1 27 11 |........|......'.|
|00003420| 00 1e 00 b6 00 c1 00 c6 | 00 eb 00 00 00 01 00 00 |........|........|
|00003430| 00 00 00 00 00 00 00 00 | 00 0c 00 10 00 00 88 02 |........|........|
|00003440| 00 a1 27 12 00 14 00 01 | 00 00 00 00 00 00 00 00 |..'.....|........|
|00003450| 00 00 07 43 68 69 63 61 | 67 6f 00 01 00 0a 00 b6 |...Chica|go......|
|00003460| 00 bc 27 10 00 f0 00 0d | 00 0c 00 2b c1 c2 06 79 |..'.....|...+...y|
|00003470| 20 20 20 20 6e 00 00 a0 | 00 97 00 01 00 0a d8 f0 |    n...|........|
|00003480| d8 f0 27 10 27 10 00 22 | 00 b5 00 d0 00 11 00 a0 |..'.'.."|........|
|00003490| 00 8d 00 a0 00 83 00 ff | 27 1c 00 00 00 04 00 b4 |........|'.......|
|000034a0| 00 bb 27 19 00 00 00 04 | 01 25 01 b5 00 24 00 00 |..'.....|.%...$..|
|000034b0| 00 06 13 31 30 30 13 00 | 00 25 00 00 00 06 13 31 |...100..|.%.....1|
|000034c0| 35 30 13 00 00 26 00 00 | 00 06 13 31 37 30 13 00 |50...&..|...170..|
|000034d0| 00 27 00 00 00 05 13 31 | 38 13 00 52 27 da 00 00 |.'.....1|8..R'...|
|000034e0| 00 07 52 65 74 75 72 6e | 00 ff 00 00 27 12 00 00 |..Return|....'...|
|000034f0| 00 e2 00 e2 00 b4 00 ed | 00 c7 01 21 00 11 02 ff |........|...!....|
|00003500| 0c 00 ff ff ff ff 00 ed | 00 00 00 b4 00 00 01 21 |........|.......!|
|00003510| 00 00 00 c7 00 00 00 00 | 00 00 00 a0 00 82 00 a1 |........|........|
|00003520| 27 14 00 08 00 b4 00 ed | 00 c7 01 18 00 a0 00 8c |'.......|........|
|00003530| 00 1e 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 08 |........|..'.'...|
|00003540| 00 09 00 30 00 b5 00 ed | 00 c7 01 18 00 a1 00 96 |...0....|........|
|00003550| 00 06 05 00 00 00 02 00 | 00 a1 27 11 00 1e 00 b6 |........|..'.....|
|00003560| 00 f2 00 c6 01 1c 00 00 | 00 01 00 00 00 00 00 00 |........|........|
|00003570| 00 00 00 00 00 0c 00 10 | 00 00 88 02 00 a1 27 12 |........|......'.|
|00003580| 00 14 00 01 00 00 00 00 | 00 00 00 00 00 00 07 43 |........|.......C|
|00003590| 68 69 63 61 67 6f 00 01 | 00 0a 00 b6 00 ed 27 10 |hicago..|......'.|
|000035a0| 01 21 00 0d 00 0c 00 2b | f2 c2 06 79 20 20 20 20 |.!.....+|...y    |
|000035b0| 6e 00 00 a0 00 97 00 01 | 00 0a d8 f0 d8 f0 27 10 |n.......|......'.|
|000035c0| 27 10 00 22 00 b5 01 02 | 00 11 00 a0 00 8d 00 a0 |'.."....|........|
|000035d0| 00 83 00 ff 27 1c 00 00 | 00 04 00 b4 00 ed 27 19 |....'...|......'.|
|000035e0| 00 00 00 04 01 25 01 b5 | 00 24 00 00 00 06 13 31 |.....%..|.$.....1|
|000035f0| 30 30 13 00 00 25 00 00 | 00 06 13 31 35 30 13 00 |00...%..|...150..|
|00003600| 00 26 00 00 00 06 13 31 | 37 30 13 00 00 27 00 00 |.&.....1|70...'..|
|00003610| 00 05 13 31 38 13 00 52 | 27 da 00 00 00 07 52 65 |...18..R|'.....Re|
|00003620| 74 75 72 6e 00 ff 00 00 | 27 1a 00 00 00 04 00 f3 |turn....|'.......|
|00003630| 01 68 27 1b 00 00 00 02 | 00 00 27 1c 00 00 00 04 |.h'.....|..'.....|
|00003640| 00 7e 00 5b 00 00 27 12 | 00 00 00 dc 00 dc 00 b3 |.~.[..'.|........|
|00003650| 01 19 00 c6 01 4d 00 11 | 02 ff 0c 00 ff ff ff ff |.....M..|........|
|00003660| 01 19 00 00 00 b3 00 00 | 01 4d 00 00 00 c6 00 00 |........|.M......|
|00003670| 00 00 00 00 00 a0 00 82 | 00 a1 27 14 00 08 00 b3 |........|..'.....|
|00003680| 01 19 00 c6 01 44 00 1e | 00 01 00 0a d8 f0 d8 f0 |.....D..|........|
|00003690| 27 10 27 10 00 08 00 09 | 00 30 00 b4 01 19 00 c6 |'.'.....|.0......|
|000036a0| 01 44 00 a1 00 96 00 06 | 05 00 00 00 02 00 00 a1 |.D......|........|
|000036b0| 27 11 00 1e 00 b5 01 1e | 00 c5 01 48 00 00 00 01 |'.......|...H....|
|000036c0| 00 00 00 00 00 00 00 00 | 00 00 00 0c 00 10 00 00 |........|........|
|000036d0| 88 02 00 a1 27 12 00 14 | 00 01 00 00 00 00 00 00 |....'...|........|
|000036e0| 00 00 00 00 07 43 68 69 | 63 61 67 6f 00 01 00 0a |.....Chi|cago....|
|000036f0| 00 b5 01 19 27 10 01 4d | 00 0d 00 0c 00 28 00 c1 |....'..M|.....(..|
|00003700| 01 1e 06 79 20 20 20 20 | 6e 00 00 a0 00 97 00 01 |...y    |n.......|
|00003710| 00 0a d8 f0 d8 f0 27 10 | 27 10 00 22 00 b4 01 2e |......'.|'.."....|
|00003720| 00 11 00 a0 00 83 00 ff | 27 1c 00 00 00 04 00 b3 |........|'.......|
|00003730| 01 19 27 19 00 00 00 04 | 01 25 01 b5 00 24 00 00 |..'.....|.%...$..|
|00003740| 00 06 13 31 30 30 13 00 | 00 25 00 00 00 06 13 31 |...100..|.%.....1|
|00003750| 35 30 13 00 00 26 00 00 | 00 06 13 31 37 30 13 00 |50...&..|...170..|
|00003760| 00 27 00 00 00 05 13 31 | 38 13 00 52 27 da 00 00 |.'.....1|8..R'...|
|00003770| 00 07 52 65 74 75 72 6e | 00 ff 00 00 27 12 00 00 |..Return|....'...|
|00003780| 00 62 00 62 00 c9 01 79 | 00 e0 01 96 00 11 02 ff |.b.b...y|........|
|00003790| 0c 00 ff ff ff ff 01 79 | 00 00 00 c9 00 00 01 96 |.......y|........|
|000037a0| 00 00 00 e0 00 00 00 00 | 00 00 00 a0 00 82 00 a1 |........|........|
|000037b0| 27 14 00 08 00 c9 01 79 | 00 e0 01 96 00 1e 00 01 |'......y|........|
|000037c0| 00 0a d8 f0 d8 f0 27 10 | 27 10 00 07 00 04 00 04 |......'.|'.......|
|000037d0| 00 08 00 09 00 30 00 c9 | 01 79 00 e0 01 96 00 a0 |.....0..|.y......|
|000037e0| 00 83 00 ff 27 1c 00 00 | 00 04 00 c9 01 1f 00 00 |....'...|........|
|000037f0| 27 12 00 00 01 04 01 04 | 00 f7 00 1e 01 17 01 68 |'.......|.......h|
|00003800| 00 11 02 ff 0c 00 ff ff | ff ff 00 1e 00 00 00 f7 |........|........|
|00003810| 00 00 01 68 00 00 01 17 | 00 00 00 00 00 00 00 a0 |...h....|........|
|00003820| 00 82 00 a1 27 14 00 08 | 00 00 00 00 00 00 00 00 |....'...|........|
|00003830| 00 a1 00 96 00 06 05 00 | 00 00 02 00 00 a1 27 11 |........|......'.|
|00003840| 00 1e 00 f7 00 23 01 17 | 01 63 00 00 00 01 00 00 |.....#..|.c......|
|00003850| 00 00 00 00 00 00 00 00 | 00 0c 00 10 00 00 88 02 |........|........|
|00003860| 00 a1 27 12 00 14 00 01 | 00 00 00 00 00 00 00 00 |..'.....|........|
|00003870| 00 00 07 43 68 69 63 61 | 67 6f 00 1e 00 01 00 0a |...Chica|go......|
|00003880| 00 f7 00 1e 27 10 01 68 | 00 05 00 00 00 0d 00 0c |....'..h|........|
|00003890| 00 28 01 03 00 23 30 54 | 68 65 20 63 6f 6e 73 74 |.(...#0T|he const|
|000038a0| 61 6e 74 20 74 65 72 6d | 20 69 73 20 36 3b 20 74 |ant term| is 6; t|
|000038b0| 68 65 72 65 66 6f 72 65 | 2c 20 74 68 65 20 70 6f |herefore|, the po|
|000038c0| 73 73 69 62 6c 65 20 00 | 00 2a 10 23 69 6e 74 65 |ssible .|.*.#inte|
|000038d0| 67 72 61 6c 20 7a 65 72 | 6f 73 20 61 72 65 20 20 |gral zer|os are  |
|000038e0| b1 31 2c 20 b1 32 2c 20 | b1 33 2c 20 b1 36 2e 00 |.1, .2, |.3, .6..|
|000038f0| 00 a0 00 97 00 a0 00 83 | 00 ff 27 1c 00 00 00 04 |........|..'.....|
|00003900| 00 f7 00 1e 00 00 27 12 | 00 00 00 da 00 da 00 b5 |......'.|........|
|00003910| 00 3e 00 c8 00 72 00 11 | 02 ff 0c 00 ff ff ff ff |.>...r..|........|
|00003920| 00 3e 00 00 00 b5 00 00 | 00 72 00 00 00 c8 00 00 |.>......|.r......|
|00003930| 00 00 00 00 00 a0 00 82 | 00 a1 27 14 00 08 00 b5 |........|..'.....|
|00003940| 00 3e 00 c8 00 69 00 1e | 00 01 00 0a d8 f0 d8 f0 |.>...i..|........|
|00003950| 27 10 27 10 00 08 00 09 | 00 30 00 b6 00 3e 00 c8 |'.'.....|.0...>..|
|00003960| 00 69 00 a1 00 96 00 06 | 05 00 00 00 02 00 00 a1 |.i......|........|
|00003970| 27 11 00 1e 00 b7 00 43 | 00 c7 00 6d 00 00 00 01 |'......C|...m....|
|00003980| 00 00 00 00 00 00 00 00 | 00 00 00 0c 00 10 00 00 |........|........|
|00003990| 88 02 00 a1 27 12 00 14 | 00 01 00 00 00 00 00 00 |....'...|........|
|000039a0| 00 00 00 00 07 43 68 69 | 63 61 67 6f 00 01 00 0a |.....Chi|cago....|
|000039b0| 00 b7 00 3e 27 10 00 72 | 00 0d 00 0c 00 2b 43 c3 |...>'..r|.....+C.|
|000039c0| 06 79 20 20 20 20 6e 00 | 00 a0 00 97 00 01 00 0a |.y    n.|........|
|000039d0| d8 f0 d8 f0 27 10 27 10 | 00 22 00 b6 00 53 00 11 |....'.'.|."...S..|
|000039e0| 00 a0 00 83 00 ff 27 1c | 00 00 00 04 00 b5 00 3e |......'.|.......>|
|000039f0| 27 19 00 00 00 04 01 25 | 01 b5 00 24 00 00 00 06 |'......%|...$....|
|00003a00| 13 31 30 30 13 00 00 25 | 00 00 00 06 13 31 35 30 |.100...%|.....150|
|00003a10| 13 00 00 26 00 00 00 06 | 13 31 37 30 13 00 00 27 |...&....|.170...'|
|00003a20| 00 00 00 05 13 31 38 13 | 00 52 27 da 00 00 00 07 |.....18.|.R'.....|
|00003a30| 52 65 74 75 72 6e 00 ff | 00 00 27 12 00 00 00 62 |Return..|..'....b|
|00003a40| 00 62 00 c9 00 43 00 e0 | 00 60 00 11 02 ff 0c 00 |.b...C..|.`......|
|00003a50| ff ff ff ff 00 43 00 00 | 00 c9 00 00 00 60 00 00 |.....C..|.....`..|
|00003a60| 00 e0 00 00 00 00 00 00 | 00 a0 00 82 00 a1 27 14 |........|......'.|
|00003a70| 00 08 00 c9 00 43 00 e0 | 00 60 00 1e 00 01 00 0a |.....C..|.`......|
|00003a80| d8 f0 d8 f0 27 10 27 10 | 00 07 00 04 00 04 00 08 |....'.'.|........|
|00003a90| 00 09 00 30 00 c9 00 43 | 00 e0 00 60 00 a0 00 83 |...0...C|...`....|
|00003aa0| 00 ff 27 1c 00 00 00 04 | 00 c9 00 43 00 00 27 12 |..'.....|...C..'.|
|00003ab0| 00 00 00 da 00 da 00 b5 | 00 64 00 c8 00 98 00 11 |........|.d......|
|00003ac0| 02 ff 0c 00 ff ff ff ff | 00 64 00 00 00 b5 00 00 |........|.d......|
|00003ad0| 00 98 00 00 00 c8 00 00 | 00 00 00 00 00 a0 00 82 |........|........|
|00003ae0| 00 a1 27 14 00 08 00 b5 | 00 64 00 c8 00 8f 00 1e |..'.....|.d......|
|00003af0| 00 01 00 0a d8 f0 d8 f0 | 27 10 27 10 00 08 00 09 |........|'.'.....|
|00003b00| 00 30 00 b6 00 64 00 c8 | 00 8f 00 a1 00 96 00 06 |.0...d..|........|
|00003b10| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 b7 00 69 |........|'......i|
|00003b20| 00 c7 00 93 00 00 00 01 | 00 00 00 00 00 00 00 00 |........|........|
|00003b30| 00 00 00 0c 00 10 00 00 | 88 02 00 a1 27 12 00 14 |........|....'...|
|00003b40| 00 01 00 00 00 00 00 00 | 00 00 00 00 07 43 68 69 |........|.....Chi|
|00003b50| 63 61 67 6f 00 01 00 0a | 00 b7 00 64 27 10 00 98 |cago....|...d'...|
|00003b60| 00 0d 00 0c 00 2b 69 c3 | 06 79 20 20 20 20 6e 00 |.....+i.|.y    n.|
|00003b70| 00 a0 00 97 00 01 00 0a | d8 f0 d8 f0 27 10 27 10 |........|....'.'.|
|00003b80| 00 22 00 b6 00 79 00 11 | 00 a0 00 83 00 ff 27 1c |."...y..|......'.|
|00003b90| 00 00 00 04 00 b5 00 64 | 27 19 00 00 00 04 01 25 |.......d|'......%|
|00003ba0| 01 b5 00 24 00 00 00 06 | 13 31 30 30 13 00 00 25 |...$....|.100...%|
|00003bb0| 00 00 00 06 13 31 35 30 | 13 00 00 26 00 00 00 06 |.....150|...&....|
|00003bc0| 13 31 37 30 13 00 00 27 | 00 00 00 05 13 31 38 13 |.170...'|.....18.|
|00003bd0| 00 52 27 da 00 00 00 07 | 52 65 74 75 72 6e 00 ff |.R'.....|Return..|
|00003be0| 00 00 27 12 00 00 00 62 | 00 62 00 c9 00 6a 00 e0 |..'....b|.b...j..|
|00003bf0| 00 87 00 11 02 ff 0c 00 | ff ff ff ff 00 6a 00 00 |........|.....j..|
|00003c00| 00 c9 00 00 00 87 00 00 | 00 e0 00 00 00 00 00 00 |........|........|
|00003c10| 00 a0 00 82 00 a1 27 14 | 00 08 00 c9 00 6a 00 e0 |......'.|.....j..|
|00003c20| 00 87 00 1e 00 01 00 0a | d8 f0 d8 f0 27 10 27 10 |........|....'.'.|
|00003c30| 00 07 00 04 00 04 00 08 | 00 09 00 30 00 c9 00 6a |........|...0...j|
|00003c40| 00 e0 00 87 00 a0 00 83 | 00 ff 27 1c 00 00 00 04 |........|..'.....|
|00003c50| 00 c9 00 6a 00 00 27 12 | 00 00 00 da 00 da 00 b5 |...j..'.|........|
|00003c60| 00 92 00 c8 00 c6 00 11 | 02 ff 0c 00 ff ff ff ff |........|........|
|00003c70| 00 92 00 00 00 b5 00 00 | 00 c6 00 00 00 c8 00 00 |........|........|
|00003c80| 00 00 00 00 00 a0 00 82 | 00 a1 27 14 00 08 00 b5 |........|..'.....|
|00003c90| 00 92 00 c8 00 bd 00 1e | 00 01 00 0a d8 f0 d8 f0 |........|........|
|00003ca0| 27 10 27 10 00 08 00 09 | 00 30 00 b6 00 92 00 c8 |'.'.....|.0......|
|00003cb0| 00 bd 00 a1 00 96 00 06 | 05 00 00 00 02 00 00 a1 |........|........|
|00003cc0| 27 11 00 1e 00 b7 00 97 | 00 c7 00 c1 00 00 00 01 |'.......|........|
|00003cd0| 00 00 00 00 00 00 00 00 | 00 00 00 0c 00 10 00 00 |........|........|
|00003ce0| 88 02 00 a1 27 12 00 14 | 00 01 00 00 00 00 00 00 |....'...|........|
|00003cf0| 00 00 00 00 07 43 68 69 | 63 61 67 6f 00 01 00 0a |.....Chi|cago....|
|00003d00| 00 b7 00 92 27 10 00 c6 | 00 0d 00 0c 00 2b 97 c3 |....'...|.....+..|
|00003d10| 06 79 20 20 20 20 6e 00 | 00 a0 00 97 00 01 00 0a |.y    n.|........|
|00003d20| d8 f0 d8 f0 27 10 27 10 | 00 22 00 b6 00 a7 00 11 |....'.'.|."......|
|00003d30| 00 a0 00 83 00 ff 27 1c | 00 00 00 04 00 b5 00 92 |......'.|........|
|00003d40| 27 19 00 00 00 04 01 25 | 01 b5 00 24 00 00 00 06 |'......%|...$....|
|00003d50| 13 31 30 30 13 00 00 25 | 00 00 00 06 13 31 35 30 |.100...%|.....150|
|00003d60| 13 00 00 26 00 00 00 06 | 13 31 37 30 13 00 00 27 |...&....|.170...'|
|00003d70| 00 00 00 05 13 31 38 13 | 00 52 27 da 00 00 00 07 |.....18.|.R'.....|
|00003d80| 52 65 74 75 72 6e 00 ff | 00 00 27 1a 00 00 00 04 |Return..|..'.....|
|00003d90| 00 f3 01 68 27 1b 00 00 | 00 02 00 00 27 1c 00 00 |...h'...|....'...|
|00003da0| 00 04 00 50 00 86 00 00 | 27 12 00 00 00 e2 00 e2 |...P....|'.......|
|00003db0| 00 b4 00 bb 00 c7 00 f0 | 00 11 02 ff 0c 00 ff ff |........|........|
|00003dc0| ff ff 00 bb 00 00 00 b4 | 00 00 00 f0 00 00 00 c7 |........|........|
|00003dd0| 00 00 00 00 00 00 00 a0 | 00 82 00 a1 27 14 00 08 |........|....'...|
|00003de0| 00 b4 00 bb 00 c7 00 e6 | 00 a0 00 8c 00 1e 00 01 |........|........|
|00003df0| 00 0a d8 f0 d8 f0 27 10 | 27 10 00 08 00 09 00 30 |......'.|'......0|
|00003e00| 00 b5 00 bb 00 c7 00 e6 | 00 a1 00 96 00 06 05 00 |........|........|
|00003e10| 00 00 02 00 00 a1 27 11 | 00 1e 00 b6 00 c1 00 c6 |......'.|........|
|00003e20| 00 eb 00 00 00 01 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00003e30| 00 0c 00 10 00 00 88 02 | 00 a1 27 12 00 14 00 01 |........|..'.....|
|00003e40| 00 00 00 00 00 00 00 00 | 00 00 07 43 68 69 63 61 |........|...Chica|
|00003e50| 67 6f 00 01 00 0a 00 b6 | 00 bc 27 10 00 f0 00 0d |go......|..'.....|
|00003e60| 00 0c 00 2b c1 c2 06 79 | 20 20 20 20 6e 00 00 a0 |...+...y|    n...|
|00003e70| 00 97 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 22 |........|..'.'.."|
|00003e80| 00 b5 00 d0 00 11 00 a0 | 00 8d 00 a0 00 83 00 ff |........|........|
|00003e90| 27 1c 00 00 00 04 00 b4 | 00 bb 27 19 00 00 00 04 |'.......|..'.....|
|00003ea0| 01 25 01 b5 00 24 00 00 | 00 06 13 31 30 30 13 00 |.%...$..|...100..|
|00003eb0| 00 25 00 00 00 06 13 31 | 35 30 13 00 00 26 00 00 |.%.....1|50...&..|
|00003ec0| 00 06 13 31 37 30 13 00 | 00 27 00 00 00 05 13 31 |...170..|.'.....1|
|00003ed0| 38 13 00 52 27 da 00 00 | 00 07 52 65 74 75 72 6e |8..R'...|..Return|
|00003ee0| 00 ff 00 00 27 1a 00 00 | 00 04 00 f3 01 68 27 1b |....'...|.....h'.|
|00003ef0| 00 00 00 02 00 00 27 1c | 00 00 00 04 00 7e 00 5b |......'.|.....~.[|
|00003f00| 00 00 27 12 00 00 00 e2 | 00 e2 00 b4 00 ed 00 c7 |..'.....|........|
|00003f10| 01 21 00 11 02 ff 0c 00 | ff ff ff ff 00 ed 00 00 |.!......|........|
|00003f20| 00 b4 00 00 01 21 00 00 | 00 c7 00 00 00 00 00 00 |.....!..|........|
|00003f30| 00 a0 00 82 00 a1 27 14 | 00 08 00 b4 00 ed 00 c7 |......'.|........|
|00003f40| 01 18 00 a0 00 8c 00 1e | 00 01 00 0a d8 f0 d8 f0 |........|........|
|00003f50| 27 10 27 10 00 08 00 09 | 00 30 00 b5 00 ed 00 c7 |'.'.....|.0......|
|00003f60| 01 18 00 a1 00 96 00 06 | 05 00 00 00 02 00 00 a1 |........|........|
|00003f70| 27 11 00 1e 00 b6 00 f2 | 00 c6 01 1c 00 00 00 01 |'.......|........|
|00003f80| 00 00 00 00 00 00 00 00 | 00 00 00 0c 00 10 00 00 |........|........|
|00003f90| 88 02 00 a1 27 12 00 14 | 00 01 00 00 00 00 00 00 |....'...|........|
|00003fa0| 00 00 00 00 07 43 68 69 | 63 61 67 6f 00 01 00 0a |.....Chi|cago....|
|00003fb0| 00 b6 00 ed 27 10 01 21 | 00 0d 00 0c 00 2b f2 c2 |....'..!|.....+..|
|00003fc0| 06 79 20 20 20 20 6e 00 | 00 a0 00 97 00 01 00 0a |.y    n.|........|
|00003fd0| d8 f0 d8 f0 27 10 27 10 | 00 22 00 b5 01 02 00 11 |....'.'.|."......|
|00003fe0| 00 a0 00 8d 00 a0 00 83 | 00 ff 27 1c 00 00 00 04 |........|..'.....|
|00003ff0| 00 b4 00 ed 27 19 00 00 | 00 04 01 25 01 b5 00 24 |....'...|...%...$|
|00004000| 00 00 00 06 13 31 30 30 | 13 00 00 25 00 00 00 06 |.....100|...%....|
|00004010| 13 31 35 30 13 00 00 26 | 00 00 00 06 13 31 37 30 |.150...&|.....170|
|00004020| 13 00 00 27 00 00 00 05 | 13 31 38 13 00 52 27 da |...'....|.18..R'.|
|00004030| 00 00 00 07 52 65 74 75 | 72 6e 00 ff 00 00 27 1a |....Retu|rn....'.|
|00004040| 00 00 00 04 00 f3 01 68 | 27 1b 00 00 00 02 00 00 |.......h|'.......|
|00004050| 27 1c 00 00 00 04 00 7e | 00 5b 00 00 27 12 00 00 |'......~|.[..'...|
|00004060| 00 fc 00 fc 00 fb 00 0f | 01 1b 01 59 00 11 02 ff |........|...Y....|
|00004070| 0c 00 ff ff ff ff 00 0f | 00 00 00 fb 00 00 01 59 |........|.......Y|
|00004080| 00 00 01 1b 00 00 00 00 | 00 00 00 a0 00 82 00 a1 |........|........|
|00004090| 27 14 00 08 00 00 00 00 | 00 00 00 00 00 a1 00 96 |'.......|........|
|000040a0| 00 06 05 00 00 00 02 00 | 00 a1 27 11 00 1e 00 fb |........|..'.....|
|000040b0| 00 14 01 1b 01 54 00 00 | 00 01 00 00 00 00 00 00 |.....T..|........|
|000040c0| 00 00 00 00 00 0c 00 10 | 00 00 88 02 00 a1 27 12 |........|......'.|
|000040d0| 00 14 00 01 00 00 00 00 | 00 00 00 00 00 00 07 43 |........|.......C|
|000040e0| 68 69 63 61 67 6f 00 1e | 00 01 00 0a 00 fb 00 0f |hicago..|........|
|000040f0| 27 10 01 59 00 05 00 00 | 00 0d 00 0c 00 28 01 07 |'..Y....|.....(..|
|00004100| 00 14 30 54 68 65 20 63 | 6f 6e 73 74 61 6e 74 20 |..0The c|onstant |
|00004110| 74 65 72 6d 20 69 73 20 | 32 3b 20 74 68 65 72 65 |term is |2; there|
|00004120| 66 6f 72 65 2c 20 74 68 | 65 20 70 6f 73 73 69 62 |fore, th|e possib|
|00004130| 6c 65 20 00 00 2a 10 1b | 69 6e 74 65 67 72 61 6c |le ..*..|integral|
|00004140| 20 7a 65 72 6f 73 20 61 | 72 65 20 20 b1 31 2c 20 | zeros a|re  .1, |
|00004150| b1 32 2e 00 00 a0 00 97 | 00 a0 00 83 00 ff 27 1c |.2......|......'.|
|00004160| 00 00 00 04 00 fb 00 0f | 27 dc 00 00 00 04 01 ae |........|'.......|
|00004170| 00 01 00 00 27 1c 00 00 | 00 04 00 27 00 5a 00 0a |....'...|...'.Z..|
|00004180| 00 00 00 06 13 31 2e 35 | 13 00 00 00 27 12 00 00 |.....1.5|....'...|
|00004190| 00 70 00 70 00 5e 00 8f | 00 72 00 a3 00 11 02 ff |.p.p.^..|.r......|
|000041a0| 0c 00 ff ff ff ff 00 8f | 00 00 00 5e 00 00 00 a3 |........|...^....|
|000041b0| 00 00 00 72 00 00 00 00 | 00 00 00 a0 00 82 00 a1 |...r....|........|
|000041c0| 27 14 00 08 00 5e 00 8f | 00 72 00 a3 00 a0 00 8c |'....^..|.r......|
|000041d0| 00 1e 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 07 |........|..'.'...|
|000041e0| 00 02 00 02 00 08 00 09 | 00 22 00 66 00 8f 00 0a |........|.".f....|
|000041f0| 00 22 00 5e 00 a1 ef 11 | 00 a0 00 8d 00 a0 00 83 |.".^....|........|
|00004200| 00 ff 27 1c 00 00 00 04 | 00 6d 00 7c 00 00 27 12 |..'.....|.m.|..'.|
|00004210| 00 00 00 70 00 70 00 5a | 01 71 00 6e 01 85 00 11 |...p.p.Z|.q.n....|
|00004220| 02 ff 0c 00 ff ff ff ff | 01 71 00 00 00 5a 00 00 |........|.q...Z..|
|00004230| 01 85 00 00 00 6e 00 00 | 00 00 00 00 00 a0 00 82 |.....n..|........|
|00004240| 00 a1 27 14 00 08 00 5a | 01 71 00 6e 01 85 00 a0 |..'....Z|.q.n....|
|00004250| 00 8c 00 1e 00 01 00 0a | d8 f0 d8 f0 27 10 27 10 |........|....'.'.|
|00004260| 00 07 00 02 00 02 00 08 | 00 09 00 22 00 62 01 71 |........|...".b.q|
|00004270| 00 0a 00 22 00 5a 01 83 | ef 11 00 a0 00 8d 00 a0 |...".Z..|........|
|00004280| 00 83 00 ff 27 1c 00 00 | 00 04 00 6c 01 59 00 00 |....'...|...l.Y..|
|00004290| 27 1c 00 00 00 04 00 7b | 00 10 27 12 00 00 01 29 |'......{|..'....)|
|000042a0| 01 29 00 7b 00 21 00 bb | 01 ea 11 01 a0 00 82 a1 |.).{.!..|........|
|000042b0| 27 14 00 08 00 00 00 00 | 00 00 00 00 a1 00 96 00 |'.......|........|
|000042c0| 06 05 00 00 00 02 00 a1 | 27 11 00 1e 00 7b 00 26 |........|'....{.&|
|000042d0| 00 bb 01 e5 00 00 00 01 | 00 00 00 00 00 00 00 00 |........|........|
|000042e0| 00 00 00 0c 00 10 00 00 | 88 02 a1 27 12 00 14 00 |........|...'....|
|000042f0| 01 00 00 00 00 00 00 00 | 00 00 00 07 43 68 69 63 |........|....Chic|
|00004300| 61 67 6f 01 00 0a 00 7b | 00 21 27 10 01 ea 0d 00 |ago....{|.!'.....|
|00004310| 0c 10 00 40 01 c9 00 40 | 01 c9 2b 26 87 48 49 66 |...@...@|..+&.HIf|
|00004320| 20 31 2f 32 20 69 73 20 | 61 20 7a 65 72 6f 2c 20 | 1/2 is |a zero, |
|00004330| 28 20 78 20 d0 20 31 2f | 32 29 20 69 73 20 61 20 |( x . 1/|2) is a |
|00004340| 66 61 63 74 6f 72 2c 20 | 62 75 74 20 74 68 69 73 |factor, |but this|
|00004350| 20 69 73 20 61 20 70 6f | 6c 79 6e 6f 6d 69 61 6c | is a po|lynomial|
|00004360| 20 6f 76 65 72 20 2a 10 | 0f 74 68 65 20 72 61 74 | over *.|.the rat|
|00004370| 69 6f 6e 61 6c 73 2e 0d | 2a 10 01 0d 2a 10 43 41 |ionals..|*...*.CA|
|00004380| 20 70 6f 6c 79 6e 6f 6d | 69 61 6c 20 6f 76 65 72 | polynom|ial over|
|00004390| 20 74 68 65 20 69 6e 74 | 65 67 65 72 73 20 77 68 | the int|egers wh|
|000043a0| 69 63 68 20 68 61 73 20 | 61 20 7a 65 72 6f 20 6f |ich has |a zero o|
|000043b0| 66 20 31 2f 32 20 69 73 | 20 28 32 78 20 d0 20 31 |f 1/2 is| (2x . 1|
|000043c0| 29 2e a0 00 97 a0 00 83 | ff 08 00 00 27 12 00 00 |).......|....'...|
|000043d0| 00 70 00 70 00 3c 00 df | 00 50 00 f3 00 11 02 ff |.p.p.<..|.P......|
|000043e0| 0c 00 ff ff ff ff 00 df | 00 00 00 3c 00 00 00 f3 |........|...<....|
|000043f0| 00 00 00 50 00 00 00 00 | 00 00 00 a0 00 82 00 a1 |...P....|........|
|00004400| 27 14 00 08 00 3c 00 df | 00 50 00 f3 00 a0 00 8c |'....<..|.P......|
|00004410| 00 1e 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 07 |........|..'.'...|
|00004420| 00 02 00 02 00 08 00 09 | 00 22 00 44 00 df 00 0a |........|.".D....|
|00004430| 00 22 00 3c 00 f1 ef 11 | 00 a0 00 8d 00 a0 00 83 |.".<....|........|
|00004440| 00 ff 27 1c 00 00 00 04 | 00 3c 00 df 00 00 00 24 |..'.....|.<.....$|
|00004450| 00 00 00 06 13 32 38 35 | 13 00 00 25 00 00 00 05 |.....285|...%....|
|00004460| 13 34 33 13 00 00 00 26 | 00 00 00 05 13 32 31 13 |.43....&|.....21.|
|00004470| 00 00 00 27 00 00 00 05 | 13 31 38 13 00 00 27 da |...'....|.18...'.|
|00004480| 00 00 00 07 52 65 74 75 | 72 6e 00 00 27 12 00 00 |....Retu|rn..'...|
|00004490| 00 78 00 78 00 07 00 0d | 00 16 00 45 00 11 02 ff |.x.x....|...E....|
|000044a0| 0c 00 ff ff ff ff 00 0d | 00 00 00 07 00 00 00 45 |........|.......E|
|000044b0| 00 00 00 16 00 00 00 00 | 00 00 00 a0 00 82 00 a1 |........|........|
|000044c0| 27 14 00 08 00 07 00 0d | 00 16 00 45 00 1e 00 01 |'.......|...E....|
|000044d0| 00 0a d8 f0 d8 f0 27 10 | 27 10 00 08 00 09 00 09 |......'.|'.......|
|000044e0| 00 00 00 00 00 00 00 00 | 00 31 00 07 00 0d 00 16 |........|.1......|
|000044f0| 00 45 00 07 00 00 00 00 | 00 09 ff ff ff ff ff ff |.E......|........|
|00004500| ff ff 00 38 00 a0 00 83 | 00 ff 27 1c 00 00 00 04 |...8....|..'.....|
|00004510| 00 07 00 0d 27 19 00 00 | 00 04 01 25 01 b5 00 00 |....'...|...%....|
|00004520| 27 12 00 00 00 70 00 70 | 00 3c 00 df 00 50 00 f3 |'....p.p|.<...P..|
|00004530| 00 11 02 ff 0c 00 ff ff | ff ff 00 df 00 00 00 3c |........|.......<|
|00004540| 00 00 00 f3 00 00 00 50 | 00 00 00 00 00 00 00 a0 |.......P|........|
|00004550| 00 82 00 a1 27 14 00 08 | 00 3c 00 df 00 50 00 f3 |....'...|.<...P..|
|00004560| 00 a0 00 8c 00 1e 00 01 | 00 0a d8 f0 d8 f0 27 10 |........|......'.|
|00004570| 27 10 00 07 00 02 00 02 | 00 08 00 09 00 22 00 44 |'.......|.....".D|
|00004580| 00 df 00 0a 00 22 00 3c | 00 f1 ef 11 00 a0 00 8d |.....".<|........|
|00004590| 00 a0 00 83 00 ff 27 1c | 00 00 00 04 00 3c 00 df |......'.|.....<..|
|000045a0| 00 00 00 24 00 00 00 06 | 13 32 38 35 13 00 00 25 |...$....|.285...%|
|000045b0| 00 00 00 05 13 34 33 13 | 00 00 00 26 00 00 00 05 |.....43.|...&....|
|000045c0| 13 32 31 13 00 00 00 27 | 00 00 00 05 13 31 38 13 |.21....'|.....18.|
|000045d0| 00 00 27 da 00 00 00 07 | 52 65 74 75 72 6e 00 00 |..'.....|Return..|
|000045e0| 27 12 00 00 00 78 00 78 | 00 07 00 0d 00 16 00 45 |'....x.x|.......E|
|000045f0| 00 11 02 ff 0c 00 ff ff | ff ff 00 0d 00 00 00 07 |........|........|
|00004600| 00 00 00 45 00 00 00 16 | 00 00 00 00 00 00 00 a0 |...E....|........|
|00004610| 00 82 00 a1 27 14 00 08 | 00 07 00 0d 00 16 00 45 |....'...|.......E|
|00004620| 00 1e 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 08 |........|..'.'...|
|00004630| 00 09 00 09 00 00 00 00 | 00 00 00 00 00 31 00 07 |........|.....1..|
|00004640| 00 0d 00 16 00 45 00 07 | 00 00 00 00 00 09 ff ff |.....E..|........|
|00004650| ff ff ff ff ff ff 00 38 | 00 a0 00 83 00 ff 27 1c |.......8|......'.|
|00004660| 00 00 00 04 00 07 00 0d | 27 19 00 00 00 04 01 25 |........|'......%|
|00004670| 01 b5 00 00 27 12 00 00 | 00 ac 00 ac 00 61 00 cc |....'...|.....a..|
|00004680| 00 71 01 97 00 11 02 ff | 0c 00 ff ff ff ff 00 cc |.q......|........|
|00004690| 00 00 00 61 00 00 01 97 | 00 00 00 71 00 00 00 00 |...a....|...q....|
|000046a0| 00 00 00 a0 00 82 00 a1 | 27 14 00 08 00 00 00 00 |........|'.......|
|000046b0| 00 00 00 00 00 a1 00 96 | 00 06 05 00 00 00 02 00 |........|........|
|000046c0| 00 a1 27 11 00 1e 00 61 | 00 d1 00 71 01 92 00 00 |..'....a|...q....|
|000046d0| 00 01 00 00 00 00 00 00 | 00 00 00 00 00 0c 00 10 |........|........|
|000046e0| 00 00 88 02 00 a1 27 12 | 00 14 00 01 00 00 00 00 |......'.|........|
|000046f0| 00 00 00 00 00 00 07 43 | 68 69 63 61 67 6f 00 1e |.......C|hicago..|
|00004700| 00 01 00 0a 00 61 00 cc | 27 10 01 97 00 05 00 00 |.....a..|'.......|
|00004710| 00 0d 00 0c 00 2b d1 6d | 02 20 20 00 00 a0 00 97 |.....+.m|.  .....|
|00004720| 00 a0 00 83 00 ff 27 1c | 00 00 00 04 00 61 00 cc |......'.|.....a..|
|00004730| 00 24 00 00 00 06 13 33 | 31 36 13 00 00 25 00 00 |.$.....3|16...%..|
|00004740| 00 05 13 34 33 13 00 00 | 00 26 00 00 00 05 13 31 |...43...|.&.....1|
|00004750| 38 13 00 00 00 27 00 00 | 00 05 13 31 38 13 00 05 |8....'..|...18...|
|00004760| 27 da 00 00 00 07 52 65 | 74 75 72 6e 00 06 27 19 |'.....Re|turn..'.|
|00004770| 00 00 00 04 01 25 01 b5 | 00 00 27 12 00 00 00 ac |.....%..|..'.....|
|00004780| 00 ac 00 78 00 d2 00 88 | 01 9d 00 11 02 ff 0c 00 |...x....|........|
|00004790| ff ff ff ff 00 d2 00 00 | 00 78 00 00 01 9d 00 00 |........|.x......|
|000047a0| 00 88 00 00 00 00 00 00 | 00 a0 00 82 00 a1 27 14 |........|......'.|
|000047b0| 00 08 00 00 00 00 00 00 | 00 00 00 a1 00 96 00 06 |........|........|
|000047c0| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 78 00 d7 |........|'....x..|
|000047d0| 00 88 01 98 00 00 00 01 | 00 00 00 00 00 00 00 00 |........|........|
|000047e0| 00 00 00 0c 00 10 00 00 | 88 02 00 a1 27 12 00 14 |........|....'...|
|000047f0| 00 01 00 00 00 00 00 00 | 00 00 00 00 07 43 68 69 |........|.....Chi|
|00004800| 63 61 67 6f 00 1e 00 01 | 00 0a 00 78 00 d2 27 10 |cago....|...x..'.|
|00004810| 01 9d 00 05 00 00 00 0d | 00 0c 00 2b d7 84 02 20 |........|...+... |
|00004820| 20 00 00 a0 00 97 00 a0 | 00 83 00 ff 27 1c 00 00 | .......|....'...|
|00004830| 00 04 00 78 00 d2 00 24 | 00 00 00 06 13 33 35 34 |...x...$|.....354|
|00004840| 13 00 00 25 00 00 00 05 | 13 34 33 13 00 00 00 26 |...%....|.43....&|
|00004850| 00 00 00 05 13 31 38 13 | 00 00 00 27 00 00 00 05 |.....18.|...'....|
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|00004870| 72 6e 00 06 27 19 00 00 | 00 04 01 25 01 b5 00 00 |rn..'...|...%....|
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|00005750| 00 66 00 1b 27 10 01 be | 00 0d 00 0c 00 2b 20 72 |.f..'...|.....+ r|
|00005760| 40 54 68 69 73 20 61 6c | 6c 6f 77 73 20 75 73 20 |@This al|lows us |
|00005770| 74 6f 20 65 6c 69 6d 69 | 6e 61 74 65 20 b1 32 20 |to elimi|nate .2 |
|00005780| 61 6e 64 20 b1 36 20 66 | 72 6f 6d 20 6f 75 72 20 |and .6 f|rom our |
|00005790| 6f 72 69 67 69 6e 61 6c | 20 6c 69 73 74 20 6f 66 |original| list of|
|000057a0| 20 00 00 2a 10 35 70 6f | 74 65 6e 74 69 61 6c 20 | ..*.5po|tential |
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|00005870| 00 00 00 00 07 43 68 69 | 63 61 67 6f 00 01 00 0a |.....Chi|cago....|
|00005880| 00 3e 00 17 27 10 01 6d | 00 0d 00 0c 00 2b 1c 4a |.>..'..m|.....+.J|
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|000058a0| 65 74 20 6f 66 20 70 6f | 74 65 6e 74 69 61 6c 20 |et of po|tential |
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|000058c0| 00 2a 10 30 63 6f 6e 74 | 61 69 6e 73 20 74 68 65 |.*.0cont|ains the|
|000058d0| 20 73 65 74 20 6f 66 20 | 70 6f 74 65 6e 74 69 61 | set of |potentia|
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|000058f0| 2e 20 20 0d 00 2a 10 32 | 54 68 65 20 70 6f 74 65 |.  ..*.2|The pote|
|00005900| 6e 74 69 61 6c 20 72 61 | 74 69 6f 6e 61 6c 20 7a |ntial ra|tional z|
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|00005960| 88 02 00 a1 27 12 00 13 | 00 01 00 00 00 00 00 03 |....'...|........|
|00005970| 00 03 00 00 06 47 65 6e | 65 76 61 00 00 01 00 0a |.....Gen|eva.....|
|00005980| 00 5b 01 27 27 10 01 45 | 00 2c 00 09 00 03 06 47 |.[.''..E|.,.....G|
|00005990| 65 6e 65 76 61 00 00 03 | 00 03 00 04 01 00 00 0d |eneva...|........|
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|000059c0| 27 10 00 08 00 09 00 22 | 00 67 01 2a 0b 00 00 a0 |'......"|.g.*....|
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|00005a20| 00 01 00 0a 00 5b 01 49 | 27 10 01 67 00 28 00 65 |.....[.I|'..g.(.e|
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|00005aa0| 00 08 00 5f 00 55 00 fb | 01 d4 00 a1 00 96 00 06 |..._.U..|........|
|00005ab0| 05 00 00 00 02 00 00 a1 | 27 11 00 26 00 ca 00 81 |........|'..&....|
|00005ac0| 00 fa 01 33 00 00 00 01 | 00 04 00 00 00 00 00 00 |...3....|........|
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|00005ae0| 00 8f 00 a1 27 12 00 14 | 00 01 00 00 00 00 00 00 |....'...|........|
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|00005b00| 00 ca 00 7c 27 10 01 38 | 00 0d 00 0c 00 2b 81 d6 |...|'..8|.....+..|
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|00005c00| 00 03 00 03 00 00 06 47 | 65 6e 65 76 61 00 00 01 |.......G|eneva...|
|00005c10| 00 0a 00 61 01 6d 27 10 | 01 d6 00 2c 00 09 00 03 |...a.m'.|...,....|
|00005c20| 06 47 65 6e 65 76 61 00 | 00 03 00 03 00 05 00 00 |.Geneva.|........|
|00005c30| 00 0d 00 09 00 28 00 6b | 01 72 15 54 65 73 74 69 |.....(.k|.r.Testi|
|00005c40| 6e 67 20 62 79 20 73 79 | 6e 74 68 65 74 69 63 20 |ng by sy|nthetic |
|00005c50| 00 2a 0c 16 64 69 76 69 | 73 69 6f 6e 2e 20 4c 6f |.*..divi|sion. Lo|
|00005c60| 6f 6b 69 6e 67 20 66 6f | 72 20 00 2a 0c 10 7a 65 |oking fo|r .*..ze|
|00005c70| 72 6f 20 72 65 6d 61 69 | 6e 64 65 72 73 2e 00 a0 |ro remai|nders...|
|00005c80| 00 97 00 01 00 0a d8 f0 | d8 f0 27 10 27 10 00 30 |........|..'.'..0|
|00005c90| 00 5f 01 6b 00 88 01 d4 | 00 a0 00 8d 00 a1 00 96 |._.k....|........|
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|00005cd0| 00 14 00 01 00 00 00 00 | 00 00 00 00 00 00 07 43 |........|.......C|
|00005ce0| 68 69 63 61 67 6f 00 01 | 00 0a 00 8a 00 06 27 10 |hicago..|......'.|
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|00005d00| 00 96 00 0b 3d 57 65 20 | 68 61 76 65 20 61 6c 72 |....=We |have alr|
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|00005d40| 66 20 00 2a 10 40 69 6e | 74 65 67 72 61 6c 20 7a |f .*.@in|tegral z|
|00005d50| 65 72 6f 73 20 28 73 65 | 65 20 70 61 67 65 20 33 |eros (se|e page 3|
|00005d60| 29 20 73 6f 20 77 65 20 | 73 74 61 72 74 20 77 69 |) so we |start wi|
|00005d70| 74 68 20 20 20 20 20 20 | 6f 72 20 2d 20 20 20 20 |th      |or -    |
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|00005eb0| 00 03 00 03 00 00 06 47 | 65 6e 65 76 61 00 00 01 |.......G|eneva...|
|00005ec0| 00 0a 00 96 01 5e 27 10 | 01 7c 00 28 00 a0 01 63 |.....^'.|.|.(...c|
|00005ed0| 02 31 0d 00 00 2a 0c 01 | 32 00 00 a0 00 97 00 01 |.1...*..|2.......|
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|00005ef0| 0b 00 00 a0 00 8d 00 a0 | 00 8c 00 a1 00 96 00 06 |........|........|
|00005f00| 05 00 00 00 02 00 00 a1 | 27 11 00 1e 00 b6 00 58 |........|'......X|
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|00005f20| 00 03 01 09 00 0c 00 00 | 88 02 00 a1 27 12 00 13 |........|....'...|
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|00005f40| 65 76 61 00 00 01 00 0a | 00 b6 00 53 27 10 00 71 |eva.....|...S'..q|
|00005f50| 00 28 00 c0 00 58 02 33 | 0d 00 00 2a 0c 01 32 00 |.(...X.3|...*..2.|
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|00005f90| 00 1e 00 c2 00 8e 00 da | 00 a2 00 00 00 01 00 00 |........|........|
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|00005fb0| 00 a1 27 12 00 13 00 01 | 00 00 00 00 00 03 00 03 |..'.....|........|
|00005fc0| 00 00 06 47 65 6e 65 76 | 61 00 00 01 00 0a 00 c2 |...Genev|a.......|
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+--------+-------------------------+-------------------------+--------+--------+
Only 25.0 KB of data is shown above.