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+--------+-------------------------+-------------------------+--------+--------+
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|00002bc0| 00 02 00 00 01 00 0a 00 | 52 00 dc 00 5e 00 ef 00 |........|R...^...|
|00002bd0| 29 1d 03 4d 61 70 00 00 | a0 00 97 00 a1 00 96 00 |)..Map..|........|
|00002be0| 06 05 00 00 00 02 00 00 | 01 00 0a 00 52 00 f1 00 |........|....R...|
|00002bf0| 5e 00 fa 00 29 15 02 69 | 73 00 a0 00 97 00 a1 00 |^...)..i|s.......|
|00002c00| 96 00 06 05 00 00 00 02 | 00 00 01 00 0a 00 66 00 |........|......f.|
|00002c10| 88 00 72 00 92 00 28 00 | 70 00 89 02 79 27 00 00 |..r...(.|p...y'..|
|00002c20| a0 00 97 00 a1 00 96 00 | 06 05 00 00 00 02 00 00 |........|........|
|00002c30| 01 00 0a 00 66 00 94 00 | 72 00 9b 00 29 0c 01 3d |....f...|r...)..=|
|00002c40| 00 00 a0 00 97 00 a1 00 | 96 00 06 05 00 00 00 02 |........|........|
|00002c50| 00 00 01 00 0a 00 66 00 | 9d 00 72 00 a4 00 29 09 |......f.|..r...).|
|00002c60| 01 79 00 00 a0 00 97 00 | a1 00 96 00 06 05 00 00 |.y......|........|
|00002c70| 00 02 00 00 01 00 0a 00 | 66 00 a6 00 72 00 ad 00 |........|f...r...|
|00002c80| 29 09 01 2b 00 00 a0 00 | 97 00 a1 00 96 00 06 05 |)..+....|........|
|00002c90| 00 00 00 02 00 00 01 00 | 0a 00 62 00 b0 00 6e 00 |........|..b...n.|
|00002ca0| b6 00 28 00 6c 00 b1 01 | 6b 00 a0 00 97 00 a1 00 |..(.l...|k.......|
|00002cb0| 96 00 06 05 00 00 00 02 | 00 00 01 00 0a 00 6d 00 |........|......m.|
|00002cc0| ad 00 79 00 dd 00 28 00 | 77 00 ae 02 32 b9 00 00 |..y...(.|w...2...|
|00002cd0| a0 00 97 00 01 00 0a 00 | 52 00 7e 00 97 00 fb 00 |........|R.~.....|
|00002ce0| 08 00 09 00 22 00 6d 00 | ae 0a 00 00 a1 00 96 00 |....".m.|........|
|00002cf0| 06 05 00 00 00 02 00 00 | 01 00 0a 00 65 00 bc 00 |........|....e...|
|00002d00| 71 00 e7 00 28 00 6f 00 | bd 09 73 69 6e 28 32 b9 |q...(.o.|..sin(2.|
|00002d10| 78 29 20 00 a0 00 97 00 | a1 00 96 00 06 05 00 00 |x) .....|........|
|00002d20| 00 02 00 00 01 00 0a 00 | 80 00 88 00 8c 00 92 00 |........|........|
|00002d30| 28 00 8a 00 89 02 78 27 | 00 00 a0 00 97 00 a1 00 |(.....x'|........|
|00002d40| 96 00 06 05 00 00 00 02 | 00 00 01 00 0a 00 80 00 |........|........|
|00002d50| 94 00 8c 00 9b 00 29 0c | 01 3d 00 00 a0 00 97 00 |......).|.=......|
|00002d60| a1 00 96 00 06 05 00 00 | 00 02 00 00 01 00 0a 00 |........|........|
|00002d70| 80 00 9d 00 8c 00 a4 00 | 29 09 01 78 00 00 a0 00 |........|)..x....|
|00002d80| 97 00 a1 00 96 00 06 05 | 00 00 00 02 00 00 01 00 |........|........|
|00002d90| 0a 00 80 00 a6 00 8c 00 | ad 00 29 09 01 2b 00 00 |........|..)..+..|
|00002da0| a0 00 97 00 a1 00 96 00 | 06 05 00 00 00 02 00 00 |........|........|
|00002db0| 01 00 0a 00 7c 00 b2 00 | 88 00 b9 00 28 00 86 00 |....|...|....(...|
|00002dc0| b3 01 31 00 a0 00 97 00 | a1 00 96 00 06 05 00 00 |..1.....|........|
|00002dd0| 00 02 00 00 01 00 0a 00 | 89 00 b0 00 95 00 ba 00 |........|........|
|00002de0| 28 00 93 00 b1 02 79 27 | 00 00 a0 00 97 00 01 00 |(.....y'|........|
|00002df0| 0a 00 52 00 7e 00 97 00 | fb 00 22 00 87 00 b1 09 |..R.~...|..".....|
|00002e00| 00 00 a0 00 83 00 ff 00 | 00 00 a2 00 a2 00 e8 00 |........|........|
|00002e10| 88 01 01 00 e7 00 11 02 | ff 0c 00 ff ff ff ff 00 |........|........|
|00002e20| 88 00 00 00 e8 00 00 00 | e7 00 00 01 01 00 00 00 |........|........|
|00002e30| 00 00 00 00 a0 00 82 00 | a1 00 96 00 06 05 00 00 |........|........|
|00002e40| 00 02 00 00 1f 80 00 80 | 00 80 00 00 1e 00 01 00 |........|........|
|00002e50| 0a 00 e8 00 88 01 00 00 | e6 00 2c 00 09 00 03 06 |........|..,.....|
|00002e60| 47 65 6e 65 76 61 00 00 | 03 00 03 00 0d 00 09 00 |Geneva..|........|
|00002e70| 2e 00 04 00 00 00 00 00 | 2b 89 f2 13 54 68 65 20 |........|+...The |
|00002e80| 63 75 72 72 65 6e 74 20 | 6d 61 70 20 69 73 0d 00 |current |map is..|
|00002e90| 2a 0c 10 74 68 65 20 73 | 74 61 6e 64 61 72 64 20 |*..the s|tandard |
|00002ea0| 6d 61 70 00 a0 00 97 00 | a0 00 83 00 ff 00 00 00 |map.....|........|
|00002eb0| a0 00 a0 00 e8 00 88 01 | 01 00 e7 00 11 02 ff 0c |........|........|
|00002ec0| 00 ff ff ff ff 00 88 00 | 00 00 e8 00 00 00 e7 00 |........|........|
|00002ed0| 00 01 01 00 00 00 00 00 | 00 00 a0 00 82 00 a1 00 |........|........|
|00002ee0| 96 00 06 05 00 00 00 02 | 00 00 1f 80 00 80 00 80 |........|........|
|00002ef0| 00 00 1e 00 01 00 0a 00 | e8 00 88 01 00 00 e6 00 |........|........|
|00002f00| 2c 00 09 00 03 06 47 65 | 6e 65 76 61 00 00 03 00 |,.....Ge|neva....|
|00002f10| 03 00 0d 00 09 00 2e 00 | 04 00 00 00 00 00 2b 89 |........|......+.|
|00002f20| f2 13 54 68 65 20 63 75 | 72 72 65 6e 74 20 6d 61 |..The cu|rrent ma|
|00002f30| 70 20 69 73 0d 00 2a 0c | 0d 74 68 65 20 48 8e 6e |p is..*.|.the H.n|
|00002f40| 6f 6e 20 6d 61 70 00 00 | a0 00 97 00 a0 00 83 00 |on map..|........|
|00002f50| ff 00 00 00 a0 00 a0 00 | e2 00 83 00 fb 00 e2 00 |........|........|
|00002f60| 11 02 ff 0c 00 ff ff ff | ff 00 83 00 00 00 e2 00 |........|........|
|00002f70| 00 00 e2 00 00 00 fb 00 | 00 00 00 00 00 00 a0 00 |........|........|
|00002f80| 82 00 a1 00 96 00 06 05 | 00 00 00 02 00 00 1f 80 |........|........|
|00002f90| 00 80 00 80 00 00 1e 00 | 01 00 0a 00 e2 00 83 00 |........|........|
|00002fa0| fa 00 e1 00 2c 00 09 00 | 03 06 47 65 6e 65 76 61 |....,...|..Geneva|
|00002fb0| 00 00 03 00 03 00 0d 00 | 09 00 2e 00 04 00 00 00 |........|........|
|00002fc0| 00 00 2b 84 ec 13 54 68 | 65 20 63 75 72 72 65 6e |..+...Th|e curren|
|00002fd0| 74 20 6d 61 70 20 69 73 | 0d 00 2a 0c 0d 74 68 65 |t map is|..*..the|
|00002fe0| 20 46 65 72 6d 69 20 6d | 61 70 00 00 a0 00 97 00 | Fermi m|ap......|
|00002ff0| a0 00 83 00 ff 00 00 00 | a6 00 a6 00 e2 00 83 00 |........|........|
|00003000| fb 00 ee 00 11 02 ff 0c | 00 ff ff ff ff 00 83 00 |........|........|
|00003010| 00 00 e2 00 00 00 ee 00 | 00 00 fb 00 00 00 00 00 |........|........|
|00003020| 00 00 a0 00 82 00 a1 00 | 96 00 06 05 00 00 00 02 |........|........|
|00003030| 00 00 1f 80 00 80 00 80 | 00 00 1e 00 01 00 0a 00 |........|........|
|00003040| e2 00 83 00 fa 00 ed 00 | 2c 00 09 00 03 06 47 65 |........|,.....Ge|
|00003050| 6e 65 76 61 00 00 03 00 | 03 00 0d 00 09 00 2e 00 |neva....|........|
|00003060| 04 00 00 00 00 00 2b 84 | ec 13 54 68 65 20 63 75 |......+.|..The cu|
|00003070| 72 72 65 6e 74 20 6d 61 | 70 20 69 73 0d 00 2a 0c |rrent ma|p is..*.|
|00003080| 14 74 68 65 20 54 77 6f | 20 48 61 72 6d 6f 6e 69 |.the Two| Harmoni|
|00003090| 63 20 6d 61 70 00 a0 00 | 97 00 a0 00 83 00 ff 00 |c map...|........|
|000030a0| 00 04 6c 04 6c 00 57 00 | 26 00 a5 00 fa 11 01 a1 |..l.l.W.|&.......|
|000030b0| 00 64 00 0e 48 50 53 4a | 00 10 00 48 00 48 00 4e |.d..HPSJ|...H.H.N|
|000030c0| 00 d4 01 00 0a 00 57 00 | 26 00 a5 00 fa 98 00 1c |......W.|&.......|
|000030d0| 00 00 00 00 00 4e 00 d4 | 00 00 00 00 00 4e 00 d4 |.....N..|.....N..|
|000030e0| 00 57 00 26 00 a5 00 fa | 00 00 02 e5 00 02 e5 00 |.W.&....|........|
|000030f0| 02 e5 00 02 e5 00 02 e5 | 00 02 e5 00 13 02 01 00 |........|........|
|00003100| 04 fe 00 02 80 00 c4 fe | 00 03 38 82 08 20 f5 00 |........|..8.. ..|
|00003110| 0f 00 01 fa 00 00 40 fe | 00 03 44 82 0c 60 f5 00 |......@.|..D..`..|
|00003120| 14 10 02 81 cc 63 19 05 | 8c 60 4c 71 8c 58 41 ce |.....c..|.`Lq.XA.|
|00003130| 0a a6 38 f6 00 14 10 02 | 81 24 94 a5 04 92 90 44 |..8.....|.$.....D|
|00003140| 4a 52 60 38 92 09 29 24 | f6 00 14 10 04 41 24 f4 |JR`8..)$|.....A$.|
|00003150| 3c a8 8c f0 44 4b ce 40 | 04 92 08 27 24 f6 00 14 |<...DK.@|...'$...|
|00003160| 10 07 c1 24 84 20 a8 82 | 80 44 4a 12 40 04 92 08 |...$. ..|.DJ.@...|
|00003170| 29 24 f6 00 14 10 04 41 | 24 94 a4 50 92 90 44 4a |)$.....A|$..P..DJ|
|00003180| 52 40 44 92 08 29 24 f6 | 00 14 10 04 41 c4 63 18 |R@D..)$.|....A.c.|
|00003190| 50 8c 60 44 49 8e 40 38 | 4e 08 27 38 f6 00 09 01 |P.`DI.@8|N.'8....|
|000031a0| 00 01 f3 00 00 20 f6 00 | 09 01 00 01 f3 00 00 20 |..... ..|....... |
|000031b0| f6 00 02 e5 00 07 f8 00 | 01 40 10 f0 00 12 02 00 |........|.@......|
|000031c0| 00 04 fd 00 03 83 80 80 | 08 f6 00 01 20 08 fd 00 |........|.... ...|
|000031d0| 14 02 00 00 04 fd 00 03 | 84 40 80 08 f8 00 03 01 |........|.@......|
|000031e0| c0 40 04 fd 00 19 0a 00 | 01 20 00 04 80 00 94 01 |.@......|. ......|
|000031f0| 08 84 fd 00 00 04 fd 00 | 03 02 20 40 04 fd 00 19 |........|.. @....|
|00003200| 0a 00 01 20 1f 04 80 00 | a3 81 05 04 fd 00 00 04 |... ....|........|
|00003210| fd 00 03 02 00 84 42 fd | 00 1a 0a 00 01 20 00 04 |......B.|..... ..|
|00003220| 83 c0 c0 43 02 04 fd 00 | 01 1c 01 fe 00 03 01 c0 |...C....|........|
|00003230| 82 82 fd 00 19 0a 00 01 | 20 1f 04 80 00 c0 43 02 |........| .....C.|
|00003240| 04 fd 00 01 24 01 fd 00 | 02 22 81 02 fd 00 1a 0a |....$...|."......|
|00003250| 00 01 20 00 04 80 00 a4 | 4e 85 08 fd 00 08 24 0f |.. .....|N.....$.|
|00003260| f0 00 20 00 22 81 02 fd | 00 1a 0a 00 00 e0 00 03 |.. ."...|........|
|00003270| 80 00 93 92 88 88 fd 00 | 08 24 01 00 00 50 02 2e |........|.$...P..|
|00003280| 42 84 fd 00 1a 0a 00 00 | 20 00 00 80 00 00 12 40 |B.......| ......@|
|00003290| 10 fd 00 08 24 01 00 00 | 8c 01 d2 44 44 fd 00 18 |....$...|...DD...|
|000032a0| 04 00 00 c0 00 03 fe 00 | 00 12 fb 00 08 1c 01 00 |........|........|
|000032b0| 01 03 00 12 20 08 fd 00 | 0f f9 00 00 12 fa 00 05 |.... ...|........|
|000032c0| 01 00 02 00 80 12 fb 00 | 0f f9 00 00 0e fa 00 05 |........|........|
|000032d0| 01 00 04 00 60 12 fb 00 | 0b f1 00 05 01 00 08 00 |....`...|........|
|000032e0| 18 0e fb 00 12 02 00 00 | 04 fd 00 00 01 f9 00 04 |........|........|
|000032f0| 01 00 10 00 04 fa 00 12 | 02 00 00 04 fd 00 00 01 |........|........|
|00003300| f9 00 04 01 00 20 00 03 | fa 00 14 07 00 02 20 00 |..... ..|...... .|
|00003310| 08 80 80 48 f9 00 05 01 | 00 40 00 00 c0 fb 00 14 |...H....|.@......|
|00003320| 07 00 01 40 1f 05 00 80 | 48 f9 00 05 01 00 80 00 |...@....|H.......|
|00003330| 00 20 fb 00 14 07 00 00 | 80 00 02 03 e0 48 f9 00 |. ......|.....H..|
|00003340| 01 01 01 fe 00 00 18 fb | 00 14 07 00 00 80 1f 02 |........|........|
|00003350| 00 80 48 f9 00 01 01 06 | fe 00 00 06 fb 00 14 07 |..H.....|........|
|00003360| 00 01 40 00 05 00 80 48 | f9 00 01 01 08 fe 00 00 |..@....H|........|
|00003370| 01 fb 00 14 07 00 02 20 | 00 08 80 00 38 f9 00 01 |....... |....8...|
|00003380| 01 10 fd 00 00 c0 fc 00 | 11 fa 00 00 08 f9 00 07 |........|........|
|00003390| 01 20 00 20 00 00 30 40 | fd 00 11 fa 00 00 30 f9 |. . ..0@|......0.|
|000033a0| 00 07 01 40 00 20 00 00 | 08 40 fd 00 0d f1 00 07 |...@. ..|.@......|
|000033b0| 01 80 00 20 00 00 06 40 | fd 00 08 f6 00 f5 ff 00 |... ...@|........|
|000033c0| c0 fd 00 11 f6 00 00 40 | fd 00 03 03 00 00 20 fe |.......@|...... .|
|000033d0| 00 00 40 fd 00 11 f6 00 | 00 30 fd 00 03 05 00 00 |..@.....|.0......|
|000033e0| 20 fe 00 00 40 fd 00 0e | f6 00 00 08 fd 00 00 09 | ...@...|........|
|000033f0| fb 00 00 40 fd 00 11 f6 | 00 00 06 fd 00 07 11 00 |...@....|........|
|00003400| 00 10 00 00 07 c0 fd 00 | 10 f6 00 00 01 fd 00 06 |........|........|
|00003410| 21 00 00 10 00 00 04 fc | 00 10 f5 00 00 c0 fe 00 |!.......|........|
|00003420| 06 c1 00 00 70 00 00 04 | fc 00 11 f5 00 0b 20 00 |....p...|...... .|
|00003430| 00 01 01 00 00 90 00 00 | 07 80 fd 00 11 f5 00 07 |........|........|
|00003440| 18 00 00 02 01 00 00 90 | fe 00 00 40 fd 00 11 f5 |........|...@....|
|00003450| 00 07 04 00 00 04 01 00 | 00 90 fe 00 00 40 fd 00 |........|.....@..|
|00003460| 11 f5 00 0b 03 00 00 08 | 01 00 00 90 00 00 04 40 |........|.......@|
|00003470| fd 00 10 f4 00 0a 80 00 | 10 01 00 00 70 00 00 23 |........|....p..#|
|00003480| 80 fd 00 09 f4 00 03 60 | 00 20 01 f6 00 09 f4 00 |.......`|. ......|
|00003490| 03 10 00 40 01 f6 00 09 | f4 00 03 0c 00 80 01 f6 |...@....|........|
|000034a0| 00 09 f4 00 03 02 01 00 | 01 f6 00 09 f4 00 03 01 |........|........|
|000034b0| 82 00 01 f6 00 08 f3 00 | 02 44 00 01 f6 00 08 f3 |........|.D......|
|000034c0| 00 02 38 00 01 f6 00 06 | f1 00 00 01 f6 00 06 f1 |..8.....|........|
|000034d0| 00 00 01 f6 00 06 f1 00 | 00 01 f6 00 06 f1 00 00 |........|........|
|000034e0| 01 f6 00 06 f1 00 00 01 | f6 00 02 e5 00 02 e5 00 |........|........|
|000034f0| 02 e5 00 02 e5 00 02 e5 | 00 02 e5 00 02 e5 00 02 |........|........|
|00003500| e5 00 02 e5 00 02 e5 00 | 02 e5 00 02 e5 00 ff 00 |........|........|
|00003510| 00 00 aa 00 aa 00 e2 00 | 83 00 fb 01 03 00 11 02 |........|........|
|00003520| ff 0c 00 ff ff ff ff 00 | 83 00 00 00 e2 00 00 01 |........|........|
|00003530| 03 00 00 00 fb 00 00 00 | 00 00 00 00 a0 00 82 00 |........|........|
|00003540| a1 00 96 00 06 05 00 00 | 00 02 00 00 1f 80 00 80 |........|........|
|00003550| 00 80 00 00 1e 00 01 00 | 0a 00 e2 00 83 00 fa 01 |........|........|
|00003560| 02 00 2c 00 09 00 03 06 | 47 65 6e 65 76 61 00 00 |..,.....|Geneva..|
|00003570| 03 00 03 00 0d 00 09 00 | 2e 00 04 00 00 00 00 00 |........|........|
|00003580| 2b 84 ec 13 54 68 65 20 | 63 75 72 72 65 6e 74 20 |+...The |current |
|00003590| 6d 61 70 20 69 73 0d 00 | 2a 0c 17 74 68 65 20 70 |map is..|*..the p|
|000035a0| 69 63 65 77 69 73 65 20 | 6c 69 6e 65 61 72 20 6d |icewise |linear m|
|000035b0| 61 70 00 00 a0 00 97 00 | a0 00 83 00 ff 00 00 02 |ap......|........|
|000035c0| 96 02 96 00 5c 00 67 00 | 96 01 26 00 11 02 ff 0c |....\.g.|..&.....|
|000035d0| 00 ff ff ff ff 00 67 00 | 00 00 5c 00 00 01 26 00 |......g.|..\...&.|
|000035e0| 00 00 96 00 00 00 00 00 | 00 00 a0 00 82 00 a1 00 |........|........|
|000035f0| 96 00 06 05 00 00 00 02 | 00 00 1f 80 00 80 00 80 |........|........|
|00003600| 00 00 1e 00 01 00 0a 00 | 72 00 75 00 7f 00 7f 00 |........|r.u.....|
|00003610| 2c 00 09 00 03 06 47 65 | 6e 65 76 61 00 00 03 00 |,.....Ge|neva....|
|00003620| 03 00 0d 00 09 00 2e 00 | 04 00 00 00 00 00 2b 76 |........|......+v|
|00003630| 7c 02 79 27 00 00 a0 00 | 97 00 a1 00 96 00 06 05 ||.y'....|........|
|00003640| 00 00 00 02 00 00 01 00 | 0a 00 72 00 7f 00 7f 00 |........|..r.....|
|00003650| 86 00 29 0a 01 3d 00 00 | a0 00 97 00 a1 00 96 00 |..)..=..|........|
|00003660| 06 05 00 00 00 02 00 00 | 01 00 0a 00 72 00 87 00 |........|....r...|
|00003670| 7f 00 8e 00 29 08 01 79 | 00 00 a0 00 97 00 a1 00 |....)..y|........|
|00003680| 96 00 06 05 00 00 00 02 | 00 00 01 00 0a 00 72 00 |........|......r.|
|00003690| 8e 00 7f 00 94 00 29 07 | 01 d0 00 00 a0 00 97 00 |......).|........|
|000036a0| a1 00 96 00 06 05 00 00 | 00 02 00 00 01 00 0a 00 |........|........|
|000036b0| 6e 00 97 00 7b 00 9e 00 | 28 00 78 00 98 01 31 00 |n...{...|(.x...1.|
|000036c0| a0 00 97 00 a1 00 96 00 | 06 05 00 00 00 02 00 00 |........|........|
|000036d0| 01 00 0a 00 7a 00 95 00 | 87 00 a4 00 28 00 84 00 |....z...|....(...|
|000036e0| 96 02 32 b9 00 00 a0 00 | 97 00 01 00 0a 00 5c 00 |..2.....|......\.|
|000036f0| 67 00 96 01 26 00 08 00 | 09 00 22 00 79 00 96 09 |g...&...|..".y...|
|00003700| 00 00 a1 00 96 00 06 05 | 00 00 00 02 00 00 01 00 |........|........|
|00003710| 0a 00 73 00 a7 00 7f 01 | 25 00 28 00 7d 00 a8 16 |..s.....|%.(.}...|
|00003720| 61 73 69 6e 28 32 b9 78 | 29 20 2b 20 20 20 73 69 |asin(2.x|) +   si|
|00003730| 6e 28 34 b9 78 29 00 00 | a0 00 97 00 a1 00 96 00 |n(4.x)..|........|
|00003740| 06 05 00 00 00 02 00 00 | 01 00 0a 00 7a 00 e0 00 |........|....z...|
|00003750| 86 00 e7 00 2b 39 07 01 | 32 00 a0 00 97 00 01 00 |....+9..|2.......|
|00003760| 0a 00 5c 00 67 00 96 01 | 26 00 22 00 7a 00 e1 05 |..\.g...|&.".z...|
|00003770| 00 00 a0 00 8c 00 08 00 | 08 00 60 00 6e 00 a5 00 |........|..`.n...|
|00003780| 84 00 ac 01 0e 00 5a 00 | 68 00 b4 00 5a 00 a0 00 |......Z.|h...Z...|
|00003790| 8d 00 a1 00 96 00 06 05 | 00 00 00 02 00 00 01 00 |........|........|
|000037a0| 0a 00 88 00 75 00 95 00 | a6 00 28 00 92 00 76 0b |....u...|..(...v.|
|000037b0| 78 27 20 3d 20 78 20 2b | 20 79 27 00 a0 00 97 00 |x' = x +| y'.....|
|000037c0| a1 00 96 00 06 05 00 00 | 00 02 00 00 01 00 0a 00 |........|........|
|000037d0| 5c 00 67 00 68 01 1d 00 | 28 00 66 00 68 25 41 20 |\.g.h...|(.f.h%A |
|000037e0| 53 74 61 6e 64 61 72 64 | 20 4d 61 70 70 69 6e 67 |Standard| Mapping|
|000037f0| 20 77 69 74 68 20 74 77 | 6f 20 68 61 72 6d 6f 6e | with tw|o harmon|
|00003800| 69 63 73 00 a0 00 97 00 | a0 00 8c 00 01 00 0a 00 |ics.....|........|
|00003810| 5c 00 67 00 96 01 26 00 | 60 00 6f 01 0d 00 85 01 |\.g...&.|`.o.....|
|00003820| 14 fe f2 ff a6 00 68 ff | 4c ff a6 00 a0 00 8d 00 |......h.|L.......|
|00003830| a1 00 96 00 06 05 00 00 | 00 02 00 00 01 00 0a 00 |........|........|
|00003840| 6e 00 e1 00 7a 00 ed 00 | 2b 7a 12 01 62 00 a0 00 |n...z...|+z..b...|
|00003850| 97 00 a0 00 83 00 ff 00 | 00 02 0c 02 0c 00 3a 00 |........|......:.|
|00003860| fb 00 7c 01 7a 00 11 02 | ff 0c 00 ff ff ff ff 00 |..|.z...|........|
|00003870| fb 00 00 00 3a 00 00 01 | 7a 00 00 00 7c 00 00 00 |....:...|z...|...|
|00003880| 00 00 00 00 a0 00 82 00 | a1 00 96 00 06 05 00 00 |........|........|
|00003890| 00 02 00 00 1f 80 00 80 | 00 80 00 00 1e 00 01 00 |........|........|
|000038a0| 0a 00 61 01 35 00 6d 01 | 51 00 2c 00 09 00 03 06 |..a.5.m.|Q.,.....|
|000038b0| 47 65 6e 65 76 61 00 00 | 03 00 03 00 0d 00 09 00 |Geneva..|........|
|000038c0| 2e 00 04 00 00 00 00 00 | 28 00 6a 01 36 02 32 b9 |........|(.j.6.2.|
|000038d0| 00 00 a0 00 97 00 a1 00 | 96 00 06 05 00 00 00 02 |........|........|
|000038e0| 00 00 01 00 0a 00 4e 01 | 0f 00 5a 01 17 00 2c 00 |......N.|..Z...,.|
|000038f0| 09 00 17 06 53 79 6d 62 | 6f 6c 00 00 03 00 17 00 |....Symb|ol......|
|00003900| 28 00 57 01 10 01 20 00 | 2c 00 08 00 14 05 54 69 |(.W... .|,.....Ti|
|00003910| 6d 65 73 00 03 00 14 00 | 29 03 01 20 00 00 03 00 |mes.....|).. ....|
|00003920| 03 00 29 02 01 20 00 00 | a0 00 97 00 a1 00 96 00 |..).. ..|........|
|00003930| 06 05 00 00 00 02 00 00 | 01 00 0a 00 5b 01 10 00 |........|....[...|
|00003940| 67 01 40 00 28 00 64 01 | 11 08 79 27 20 3d 20 79 |g.@.(.d.|..y' = y|
|00003950| 20 2d 00 00 a0 00 97 00 | a1 00 96 00 06 05 00 00 | -......|........|
|00003960| 00 02 00 00 01 00 0a 00 | 5b 01 47 00 67 01 79 00 |........|[.G.g.y.|
|00003970| 29 37 08 73 69 6e 28 32 | b9 78 29 00 a0 00 97 00 |)7.sin(2|.x).....|
|00003980| a1 00 96 00 06 05 00 00 | 00 02 00 00 01 00 0a 00 |........|........|
|00003990| 3a 00 fb 00 52 01 6b 00 | 28 00 44 00 fc 18 54 68 |:...R.k.|(.D...Th|
|000039a0| 65 20 4e 6f 6e 74 77 69 | 73 74 20 4d 61 70 20 68 |e Nontwi|st Map h|
|000039b0| 61 73 20 61 20 0d 00 00 | 2a 0c 16 74 77 69 73 74 |as a ...|*..twist|
|000039c0| 20 72 65 76 65 72 73 61 | 6c 20 61 74 20 79 3d 30 | reversa|l at y=0|
|000039d0| 3a 00 a0 00 97 00 a1 00 | 96 00 06 05 00 00 00 02 |:.......|........|
|000039e0| 00 00 01 00 0a 00 6f 01 | 0f 00 7b 01 5a 00 2b 14 |......o.|..{.Z.+.|
|000039f0| 29 0e 78 27 20 3d 20 78 | 2b 79 27 20 20 2d 20 74 |).x' = x|+y'  - t|
|00003a00| 00 00 a0 00 97 00 a1 00 | 96 00 06 05 00 00 00 02 |........|........|
|00003a10| 00 00 01 00 0a 00 6a 01 | 39 00 76 01 4c 00 28 00 |......j.|9.v.L.(.|
|00003a20| 74 01 3a 01 32 00 a0 00 | 97 00 a1 00 96 00 06 05 |t.:.2...|........|
|00003a30| 00 00 00 02 00 00 01 00 | 0a 00 53 01 3a 00 5f 01 |........|..S.:._.|
|00003a40| 4c 00 28 00 5d 01 3b 01 | 6b 00 a0 00 97 00 01 00 |L.(.].;.|k.......|
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|000049c0| 00 17 29 06 01 70 03 00 | 03 29 05 01 78 29 04 01 |..)..p..|.)..x)..|
|000049d0| 29 28 00 31 00 0f 01 78 | 29 04 01 27 29 06 01 3d |)(.1...x|)..')..=|
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|00004d30| 00 09 9a 0d 54 68 65 20 | 53 74 61 6e 64 61 72 64 |....The |Standard|
|00004d40| 20 4d 61 70 20 69 73 0d | 20 20 20 20 79 27 20 3d | Map is.|    y' =|
|00004d50| 20 79 20 2d 20 6b 20 73 | 69 6e 28 32 b9 78 29 2f | y - k s|in(2.x)/|
|00004d60| 32 b9 0d 20 20 20 20 78 | 27 20 3d 20 78 20 2b 20 |2..    x|' = x + |
|00004d70| 79 27 0d 49 74 20 69 73 | 20 73 6f 6d 65 74 69 6d |y'.It is| sometim|
|00004d80| 65 73 20 63 61 6c 6c 65 | 64 20 74 68 65 20 43 68 |es calle|d the Ch|
|00004d90| 69 72 69 6b 6f 76 2d 54 | 61 79 6c 6f 72 20 4d 61 |irikov-T|aylor Ma|
|00004da0| 70 2e 20 54 72 79 20 6b | 20 3d 20 30 2e 39 37 31 |p. Try k| = 0.971|
|00004db0| 36 33 35 20 66 6f 72 20 | 69 6e 74 65 72 65 73 74 |635 for |interest|
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|00004dd0| 8e 6e 6f 6e 27 73 20 41 | 72 65 61 20 50 72 65 73 |.non's A|rea Pres|
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|00004e00| 20 3d 20 79 2d 61 2b 78 | 5e 32 0d 48 8e 6e 6f 6e | = y-a+x|^2.H.non|
|00004e10| 20 66 69 72 73 74 20 73 | 74 75 64 69 65 64 20 69 | first s|tudied i|
|00004e20| 74 20 69 6e 20 31 39 36 | 33 2e 0d 41 20 66 69 78 |t in 196|3..A fix|
|00004e30| 65 64 20 70 6f 69 6e 74 | 20 65 78 69 73 74 73 20 |ed point| exists |
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|00004e50| 2e 30 2e 20 53 65 74 20 | 61 20 3d 20 2d 30 2e 34 |.0. Set |a = -0.4|
|00004e60| 20 74 6f 20 6d 61 6b 65 | 20 61 20 66 61 6d 69 6c | to make| a famil|
|00004e70| 69 61 72 20 70 69 63 74 | 75 72 65 2e 81 0d 54 68 |iar pict|ure...Th|
|00004e80| 65 20 46 65 72 6d 69 20 | 28 55 6c 61 6d 29 20 4d |e Fermi |(Ulam) M|
|00004e90| 61 70 20 69 73 0d 20 20 | 20 20 79 27 20 3d 20 79 |ap is.  |  y' = y|
|00004ea0| 20 2b 20 6b 73 69 6e 28 | 32 b9 78 29 2f 32 b9 0d | + ksin(|2.x)/2..|
|00004eb0| 20 20 20 20 78 27 20 3d | 20 78 20 2b 20 31 2f 79 |    x' =| x + 1/y|
|00004ec0| 27 0d 49 74 20 61 70 70 | 72 6f 78 69 6d 61 74 65 |'.It app|roximate|
|00004ed0| 73 20 61 20 62 61 6c 6c | 20 62 6f 75 6e 63 69 6e |s a ball| bouncin|
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|00004ef0| 69 6c 6c 61 74 69 6e 67 | 20 77 61 6c 6c 2e d9 0d |illating| wall...|
|00004f00| 54 68 65 20 54 77 6f 20 | 48 61 72 6d 6f 6e 69 63 |The Two |Harmonic|
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|00004f20| 3d 20 79 20 2d 20 56 27 | 28 78 29 0d 20 20 20 20 |= y - V'|(x).    |
|00004f30| 20 78 27 20 3d 20 78 20 | 2b 20 79 27 0d 77 69 74 | x' = x |+ y'.wit|
|00004f40| 68 20 0d 20 20 20 20 20 | 56 27 3d 20 20 61 73 69 |h .     |V'=  asi|
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|00004f60| 20 20 2b 20 62 73 69 6e | 28 34 b9 78 29 2f 34 b9 |  + bsin|(4.x)/4.|
|00004f70| 0d 42 65 77 61 72 65 20 | 74 68 61 74 20 69 66 20 |.Beware |that if |
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|00004fb0| 73 79 6d 6d 65 74 72 79 | 20 73 65 74 74 69 6e 67 |symmetry| setting|
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|00005020| 20 20 78 27 20 3d 20 78 | 20 2b 20 79 27 0d 77 69 |  x' = x| + y'.wi|
|00005030| 74 68 20 0d 20 20 20 20 | 7b 20 2d 68 28 2e 35 2b |th .    |{ -h(.5+|
|00005040| 78 29 20 2d 2e 35 3c 20 | 78 20 3c 2d 64 0d 20 56 |x) -.5< |x <-d. V|
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|000051e0| 5e 32 2f 34 20 2d 20 32 | 20 74 6f 20 68 61 76 65 |^2/4 - 2| to have|
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|00005240| 20 3d 20 79 20 2d 20 32 | 2f b9 20 61 74 61 6e 5b | = y - 2|/. atan[|
|00005250| 6b 73 69 6e 28 32 b9 78 | 29 2f 0d 20 20 20 20 20 |ksin(2.x|)/.     |
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|00005280| 20 20 20 20 20 20 20 2d | 20 b9 62 2a 73 69 6e 28 |       -| .b*sin(|
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|000052a0| 2b 20 79 27 0d 49 74 20 | 69 73 20 69 6e 74 65 67 |+ y'.It |is integ|
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|000052c0| 0d 54 68 65 20 53 69 74 | 6e 69 6b 6f 76 20 6d 61 |.The Sit|nikov ma|
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|000052e0| 4d 61 70 0d 20 20 20 20 | 79 27 20 3d 20 79 20 2d |Map.    |y' = y -|
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|00005400| 61 63 74 69 6f 6e 2c 20 | 61 6e 64 20 69 73 20 67 |action, |and is g|
|00005410| 65 6e 65 72 69 63 61 6c | 6c 79 20 68 79 70 65 72 |enerical|ly hyper|
|00005420| 62 6f 6c 69 63 2e 8e 0d | 53 79 6d 6d 65 74 72 79 |bolic...|Symmetry|
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|00005460| 73 79 6d 6d 65 74 72 79 | 20 6c 69 6e 65 20 22 46 |symmetry| line "F|
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|00005480| 65 20 70 6f 73 69 74 69 | 76 65 20 72 65 73 69 64 |e positi|ve resid|
|00005490| 75 65 20 28 65 6c 6c 69 | 70 74 69 63 20 66 6f 72 |ue (elli|ptic for|
|000054a0| 20 73 6d 61 6c 6c 20 6e | 6f 6e 6c 69 6e 65 61 72 | small n|onlinear|
|000054b0| 69 74 79 29 2e 0f 2d 2d | 49 4e 56 41 4c 49 44 20 |ity)..--|INVALID |
|000054c0| 54 59 50 45 21 6d 0d 53 | 79 6d 6d 65 74 72 79 20 |TYPE!m.S|ymmetry |
|000054d0| 74 79 70 65 20 69 73 20 | 22 46 69 78 28 53 29 22 |type is |"Fix(S)"|
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|000062d0| 20 3c 20 79 20 3c 20 2e | 35 00 00 00 00 0e 20 30 | < y < .|5..... 0|
|000062e0| 20 3c 20 79 20 3d 20 3c | 20 30 2e 35 00 00 00 00 | < y = <| 0.5....|
|000062f0| 08 20 79 20 20 3e 20 20 | 30 00 00 00 00 0c 63 6c |. y  >  |0.....cl|
|00006300| 69 70 20 7c 79 7c 20 2e | 2e 2e 00 00 00 00 14 63 |ip |y| .|.......c|
|00006310| 6c 69 70 20 7c 78 7c 20 | 61 6e 64 20 7c 79 7c 20 |lip |x| |and |y| |
|00006320| 2e 2e 2e 00 42 00 00 00 | 00 00 00 0e 00 22 00 66 |....B...|.....".f|
|00006330| 01 54 01 98 00 80 44 44 | 28 0a 00 00 00 0c 00 24 |.T....DD|(......$|
|00006340| 01 56 00 80 01 fa 00 81 | 01 44 00 00 00 20 00 01 |.V......|.D... ..|
|00006350| 00 00 00 00 00 00 00 00 | ff ff ff ff ff ff ff ff |........|........|
|00006360| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00006370| 00 7a 00 04 00 87 00 0c | 00 00 00 00 00 00 00 00 |.z......|........|
|00006380| 99 99 ff ff 00 00 00 00 | 00 00 ff ff ff ff ff ff |........|........|
|00006390| 00 00 00 87 00 0d 00 00 | 00 00 00 00 66 66 33 33 |........|....ff33|
|000063a0| 00 00 00 00 00 00 00 00 | ff ff ff ff ff ff 00 00 |........|........|
|000063b0| 00 87 00 0e 00 00 00 00 | 00 00 66 66 33 33 00 00 |........|..ff33..|
|000063c0| 00 00 00 00 00 00 ff ff | ff ff ff ff 00 00 00 87 |........|........|
|000063d0| 00 0f 00 00 00 00 00 00 | 66 66 33 33 00 00 00 00 |........|ff33....|
|000063e0| 00 00 00 00 ff ff ff ff | ff ff 00 00 00 00 00 5c |........|.......\|
|000063f0| 00 03 00 84 00 03 00 00 | 00 00 00 00 00 00 00 00 |........|........|
+--------+-------------------------+-------------------------+--------+--------+