{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 2 6 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "m := 561;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"mG\"$h&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 190 "# prime Restklassen von m bestimmen\n\nphi[m] := 0:\nfor a from 1 to m do\n\n if gcd(a,m) = 1 then\n\n printf (\"%d/%d, \",a, a^ (m-1) mod m);\n phi[m] := phi[m] +1; \n\n fi;\n\nod;\nphi[m]; " }}{PARA 6 "" 1 "" {TEXT -1 2178 "1/1, 2/1, 4/1, 5/1, 7/1, 8/1, 10/1, 13/1, 14/1, 16/1, 19/1, 20/1, 23/1, 25/1, 26/1, 28/1, 29/1, 31/1, 32/ 1, 35/1, 37/1, 38/1, 40/1, 41/1, 43/1, 46/1, 47/1, 49/1, 50/1, 52/1, 5 3/1, 56/1, 58/1, 59/1, 61/1, 62/1, 64/1, 65/1, 67/1, 70/1, 71/1, 73/1, 74/1, 76/1, 79/1, 80/1, 82/1, 83/1, 86/1, 89/1, 91/1, 92/1, 94/1, 95/ 1, 97/1, 98/1, 100/1, 101/1, 103/1, 104/1, 106/1, 107/1, 109/1, 112/1, 113/1, 115/1, 116/1, 118/1, 122/1, 124/1, 125/1, 127/1, 128/1, 130/1, 131/1, 133/1, 134/1, 137/1, 139/1, 140/1, 142/1, 145/1, 146/1, 148/1, 149/1, 151/1, 152/1, 155/1, 157/1, 158/1, 160/1, 161/1, 163/1, 164/1, 166/1, 167/1, 169/1, 172/1, 173/1, 175/1, 178/1, 179/1, 181/1, 182/1, 184/1, 185/1, 188/1, 190/1, 191/1, 193/1, 194/1, 196/1, 197/1, 199/1, 200/1, 202/1, 203/1, 205/1, 206/1, 208/1, 211/1, 212/1, 214/1, 215/1, 217/1, 218/1, 223/1, 224/1, 226/1, 227/1, 229/1, 230/1, 232/1, 233/1, 235/1, 236/1, 239/1, 241/1, 244/1, 245/1, 247/1, 248/1, 250/1, 251/1, 254/1, 256/1, 257/1, 259/1, 260/1, 262/1, 263/1, 265/1, 266/1, 268/1, 269/1, 271/1, 274/1, 277/1, 278/1, 280/1, 281/1, 283/1, 284/1, 287/1, 290/1, 292/1, 293/1, 295/1, 296/1, 298/1, 299/1, 301/1, 302/1, 304/1, 305/1, 307/1, 310/1, 311/1, 313/1, 314/1, 316/1, 317/1, 320/1, 322/1, 325/1, 326/1, 328/1, 329/1, 331/1, 332/1, 334/1, 335/1, 337/1, 338/1, 343/1, 344/1, 346/1, 347/1, 349/1, 350/1, 353/1, 355/1, 356/1, 358/1, 359/1, 361/1, 362/1, 364/1, 365/1, 367/1, 368/1, 370/1, 371/1, 373/1, 376/1, 377/1, 379/1, 380/1, 382/1, 383/1, 386/1, 388/1, 389/1, 392/1, 394/1, 395/1, 397/1, 398/1, 400/1, 401/1, 403/1, 404/1, 406/1, 409/1, 410/1, 412/1, 413/1, 415/1, 416/1, 419/1, 421/1, 422/1, 424/1, 427/1, 428/1, 430/1, 431/1, 433/1, 434/1, 436/1, 437/1, 439/1, 443/1, 445/1, 446/1, 448/1, 449/1, 452/1, 454/1, 455/1, 457/1, 458/1, 460/1, 461/1, 463/1, 464/1, 466/1, 467/1, 469/1, 470/1, 472/1, 475/1, 478/1, 479/1, 481/1, 482/1, 485/1, 487/1, 488/1, 490/1, 491/1, 494/1, 496/1, 497/1, 499/1, 500/1, 502/1, 503/1, 505/1, 508/1, 509/1, 511/1, 512/1, 514/1, 515/1, 518/1, 520/1, 521/1, 523/1, 524/1, 526/1, 529/1, 530/1, 532/1, 533/1, 535/1, 536/1, 538/1, 541/1, 542/1, 545/1, 547/1, 548/1, 551/1, 553/1, 554/1, 556/1, 557/1, 559/1, 560/1, " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"$?$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "560^ 560;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 164 "# a^m === a mod m \+ bestimmen\n\nfor a from 1 to m do\n\n rest := a^m mod m:\n printf \+ (\"%d/%d, \",a, rest);\n if rest <> a then \n printf(\"\\n\");\n fi;\n\nod:\nphi[m];" }}{PARA 6 "" 1 "" {TEXT -1 4831 "1/1, 2/2, 3/3 , 4/4, 5/5, 6/6, 7/7, 8/8, 9/9, 10/10, 11/11, 12/12, 13/13, 14/14, 15/ 15, 16/16, 17/17, 18/18, 19/19, 20/20, 21/21, 22/22, 23/23, 24/24, 25/ 25, 26/26, 27/27, 28/28, 29/29, 30/30, 31/31, 32/32, 33/33, 34/34, 35/ 35, 36/36, 37/37, 38/38, 39/39, 40/40, 41/41, 42/42, 43/43, 44/44, 45/ 45, 46/46, 47/47, 48/48, 49/49, 50/50, 51/51, 52/52, 53/53, 54/54, 55/ 55, 56/56, 57/57, 58/58, 59/59, 60/60, 61/61, 62/62, 63/63, 64/64, 65/ 65, 66/66, 67/67, 68/68, 69/69, 70/70, 71/71, 72/72, 73/73, 74/74, 75/ 75, 76/76, 77/77, 78/78, 79/79, 80/80, 81/81, 82/82, 83/83, 84/84, 85/ 85, 86/86, 87/87, 88/88, 89/89, 90/90, 91/91, 92/92, 93/93, 94/94, 95/ 95, 96/96, 97/97, 98/98, 99/99, 100/100, 101/101, 102/102, 103/103, 10 4/104, 105/105, 106/106, 107/107, 108/108, 109/109, 110/110, 111/111, \+ 112/112, 113/113, 114/114, 115/115, 116/116, 117/117, 118/118, 119/119 , 120/120, 121/121, 122/122, 123/123, 124/124, 125/125, 126/126, 127/1 27, 128/128, 129/129, 130/130, 131/131, 132/132, 133/133, 134/134, 135 /135, 136/136, 137/137, 138/138, 139/139, 140/140, 141/141, 142/142, 1 43/143, 144/144, 145/145, 146/146, 147/147, 148/148, 149/149, 150/150, 151/151, 152/152, 153/153, 154/154, 155/155, 156/156, 157/157, 158/15 8, 159/159, 160/160, 161/161, 162/162, 163/163, 164/164, 165/165, 166/ 166, 167/167, 168/168, 169/169, 170/170, 171/171, 172/172, 173/173, 17 4/174, 175/175, 176/176, 177/177, 178/178, 179/179, 180/180, 181/181, \+ 182/182, 183/183, 184/184, 185/185, 186/186, 187/187, 188/188, 189/189 , 190/190, 191/191, 192/192, 193/193, 194/194, 195/195, 196/196, 197/1 97, 198/198, 199/199, 200/200, 201/201, 202/202, 203/203, 204/204, 205 /205, 206/206, 207/207, 208/208, 209/209, 210/210, 211/211, 212/212, 2 13/213, 214/214, 215/215, 216/216, 217/217, 218/218, 219/219, 220/220, 221/221, 222/222, 223/223, 224/224, 225/225, 226/226, 227/227, 228/22 8, 229/229, 230/230, 231/231, 232/232, 233/233, 234/234, 235/235, 236/ 236, 237/237, 238/238, 239/239, 240/240, 241/241, 242/242, 243/243, 24 4/244, 245/245, 246/246, 247/247, 248/248, 249/249, 250/250, 251/251, \+ 252/252, 253/253, 254/254, 255/255, 256/256, 257/257, 258/258, 259/259 , 260/260, 261/261, 262/262, 263/263, 264/264, 265/265, 266/266, 267/2 67, 268/268, 269/269, 270/270, 271/271, 272/272, 273/273, 274/274, 275 /275, 276/276, 277/277, 278/278, 279/279, 280/280, 281/281, 282/282, 2 83/283, 284/284, 285/285, 286/286, 287/287, 288/288, 289/289, 290/290, 291/291, 292/292, 293/293, 294/294, 295/295, 296/296, 297/297, 298/29 8, 299/299, 300/300, 301/301, 302/302, 303/303, 304/304, 305/305, 306/ 306, 307/307, 308/308, 309/309, 310/310, 311/311, 312/312, 313/313, 31 4/314, 315/315, 316/316, 317/317, 318/318, 319/319, 320/320, 321/321, \+ 322/322, 323/323, 324/324, 325/325, 326/326, 327/327, 328/328, 329/329 , 330/330, 331/331, 332/332, 333/333, 334/334, 335/335, 336/336, 337/3 37, 338/338, 339/339, 340/340, 341/341, 342/342, 343/343, 344/344, 345 /345, 346/346, 347/347, 348/348, 349/349, 350/350, 351/351, 352/352, 3 53/353, 354/354, 355/355, 356/356, 357/357, 358/358, 359/359, 360/360, 361/361, 362/362, 363/363, 364/364, 365/365, 366/366, 367/367, 368/36 8, 369/369, 370/370, 371/371, 372/372, 373/373, 374/374, 375/375, 376/ 376, 377/377, 378/378, 379/379, 380/380, 381/381, 382/382, 383/383, 38 4/384, 385/385, 386/386, 387/387, 388/388, 389/389, 390/390, 391/391, \+ 392/392, 393/393, 394/394, 395/395, 396/396, 397/397, 398/398, 399/399 , 400/400, 401/401, 402/402, 403/403, 404/404, 405/405, 406/406, 407/4 07, 408/408, 409/409, 410/410, 411/411, 412/412, 413/413, 414/414, 415 /415, 416/416, 417/417, 418/418, 419/419, 420/420, 421/421, 422/422, 4 23/423, 424/424, 425/425, 426/426, 427/427, 428/428, 429/429, 430/430, 431/431, 432/432, 433/433, 434/434, 435/435, 436/436, 437/437, 438/43 8, 439/439, 440/440, 441/441, 442/442, 443/443, 444/444, 445/445, 446/ 446, 447/447, 448/448, 449/449, 450/450, 451/451, 452/452, 453/453, 45 4/454, 455/455, 456/456, 457/457, 458/458, 459/459, 460/460, 461/461, \+ 462/462, 463/463, 464/464, 465/465, 466/466, 467/467, 468/468, 469/469 , 470/470, 471/471, 472/472, 473/473, 474/474, 475/475, 476/476, 477/4 77, 478/478, 479/479, 480/480, 481/481, 482/482, 483/483, 484/484, 485 /485, 486/486, 487/487, 488/488, 489/489, 490/490, 491/491, 492/492, 4 93/493, 494/494, 495/495, 496/496, 497/497, 498/498, 499/499, 500/500, 501/501, 502/502, 503/503, 504/504, 505/505, 506/506, 507/507, 508/50 8, 509/509, 510/510, 511/511, 512/512, 513/513, 514/514, 515/515, 516/ 516, 517/517, 518/518, 519/519, 520/520, 521/521, 522/522, 523/523, 52 4/524, 525/525, 526/526, 527/527, 528/528, 529/529, 530/530, 531/531, \+ 532/532, 533/533, 534/534, 535/535, 536/536, 537/537, 538/538, 539/539 , 540/540, 541/541, 542/542, 543/543, 544/544, 545/545, 546/546, 547/5 47, 548/548, 549/549, 550/550, 551/551, 552/552, 553/553, 554/554, 555 /555, 556/556, 557/557, 558/558, 559/559, 560/560, 561/0, " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"$?$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "" 0 "" {XPPMATH 20 "6#\"$?$" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "" 0 "" {XPPMATH 20 "6#\"$?$" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 4830 "1/1, 2/2, 3/3, 4/4, 5/5, 6/6, 7/7, 8/8, 9/9, 10/1 0, 11/11, 12/12, 13/13, 14/14, 15/15, 16/16, 17/17, 18/18, 19/19, 20/2 0, 21/21, 22/22, 23/23, 24/24, 25/25, 26/26, 27/27, 28/28, 29/29, 30/3 0, 31/31, 32/32, 33/33, 34/34, 35/35, 36/36, 37/37, 38/38, 39/39, 40/4 0, 41/41, 42/42, 43/43, 44/44, 45/45, 46/46, 47/47, 48/48, 49/49, 50/5 0, 51/51, 52/52, 53/53, 54/54, 55/55, 56/56, 57/57, 58/58, 59/59, 60/6 0, 61/61, 62/62, 63/63, 64/64, 65/65, 66/66, 67/67, 68/68, 69/69, 70/7 0, 71/71, 72/72, 73/73, 74/74, 75/75, 76/76, 77/77, 78/78, 79/79, 80/8 0, 81/81, 82/82, 83/83, 84/84, 85/85, 86/86, 87/87, 88/88, 89/89, 90/9 0, 91/91, 92/92, 93/93, 94/94, 95/95, 96/96, 97/97, 98/98, 99/99, 100/ 100, 101/101, 102/102, 103/103, 104/104, 105/105, 106/106, 107/107, 10 8/108, 109/109, 110/110, 111/111, 112/112, 113/113, 114/114, 115/115, \+ 116/116, 117/117, 118/118, 119/119, 120/120, 121/121, 122/122, 123/123 , 124/124, 125/125, 126/126, 127/127, 128/128, 129/129, 130/130, 131/1 31, 132/132, 133/133, 134/134, 135/135, 136/136, 137/137, 138/138, 139 /139, 140/140, 141/141, 142/142, 143/143, 144/144, 145/145, 146/146, 1 47/147, 148/148, 149/149, 150/150, 151/151, 152/152, 153/153, 154/154, 155/155, 156/156, 157/157, 158/158, 159/159, 160/160, 161/161, 162/16 2, 163/163, 164/164, 165/165, 166/166, 167/167, 168/168, 169/169, 170/ 170, 171/171, 172/172, 173/173, 174/174, 175/175, 176/176, 177/177, 17 8/178, 179/179, 180/180, 181/181, 182/182, 183/183, 184/184, 185/185, \+ 186/186, 187/187, 188/188, 189/189, 190/190, 191/191, 192/192, 193/193 , 194/194, 195/195, 196/196, 197/197, 198/198, 199/199, 200/200, 201/2 01, 202/202, 203/203, 204/204, 205/205, 206/206, 207/207, 208/208, 209 /209, 210/210, 211/211, 212/212, 213/213, 214/214, 215/215, 216/216, 2 17/217, 218/218, 219/219, 220/220, 221/221, 222/222, 223/223, 224/224, 225/225, 226/226, 227/227, 228/228, 229/229, 230/230, 231/231, 232/23 2, 233/233, 234/234, 235/235, 236/236, 237/237, 238/238, 239/239, 240/ 240, 241/241, 242/242, 243/243, 244/244, 245/245, 246/246, 247/247, 24 8/248, 249/249, 250/250, 251/251, 252/252, 253/253, 254/254, 255/255, \+ 256/256, 257/257, 258/258, 259/259, 260/260, 261/261, 262/262, 263/263 , 264/264, 265/265, 266/266, 267/267, 268/268, 269/269, 270/270, 271/2 71, 272/272, 273/273, 274/274, 275/275, 276/276, 277/277, 278/278, 279 /279, 280/280, 281/281, 282/282, 283/283, 284/284, 285/285, 286/286, 2 87/287, 288/288, 289/289, 290/290, 291/291, 292/292, 293/293, 294/294, 295/295, 296/296, 297/297, 298/298, 299/299, 300/300, 301/301, 302/30 2, 303/303, 304/304, 305/305, 306/306, 307/307, 308/308, 309/309, 310/ 310, 311/311, 312/312, 313/313, 314/314, 315/315, 316/316, 317/317, 31 8/318, 319/319, 320/320, 321/321, 322/322, 323/323, 324/324, 325/325, \+ 326/326, 327/327, 328/328, 329/329, 330/330, 331/331, 332/332, 333/333 , 334/334, 335/335, 336/336, 337/337, 338/338, 339/339, 340/340, 341/3 41, 342/342, 343/343, 344/344, 345/345, 346/346, 347/347, 348/348, 349 /349, 350/350, 351/351, 352/352, 353/353, 354/354, 355/355, 356/356, 3 57/357, 358/358, 359/359, 360/360, 361/361, 362/362, 363/363, 364/364, 365/365, 366/366, 367/367, 368/368, 369/369, 370/370, 371/371, 372/37 2, 373/373, 374/374, 375/375, 376/376, 377/377, 378/378, 379/379, 380/ 380, 381/381, 382/382, 383/383, 384/384, 385/385, 386/386, 387/387, 38 8/388, 389/389, 390/390, 391/391, 392/392, 393/393, 394/394, 395/395, \+ 396/396, 397/397, 398/398, 399/399, 400/400, 401/401, 402/402, 403/403 , 404/404, 405/405, 406/406, 407/407, 408/408, 409/409, 410/410, 411/4 11, 412/412, 413/413, 414/414, 415/415, 416/416, 417/417, 418/418, 419 /419, 420/420, 421/421, 422/422, 423/423, 424/424, 425/425, 426/426, 4 27/427, 428/428, 429/429, 430/430, 431/431, 432/432, 433/433, 434/434, 435/435, 436/436, 437/437, 438/438, 439/439, 440/440, 441/441, 442/44 2, 443/443, 444/444, 445/445, 446/446, 447/447, 448/448, 449/449, 450/ 450, 451/451, 452/452, 453/453, 454/454, 455/455, 456/456, 457/457, 45 8/458, 459/459, 460/460, 461/461, 462/462, 463/463, 464/464, 465/465, \+ 466/466, 467/467, 468/468, 469/469, 470/470, 471/471, 472/472, 473/473 , 474/474, 475/475, 476/476, 477/477, 478/478, 479/479, 480/480, 481/4 81, 482/482, 483/483, 484/484, 485/485, 486/486, 487/487, 488/488, 489 /489, 490/490, 491/491, 492/492, 493/493, 494/494, 495/495, 496/496, 4 97/497, 498/498, 499/499, 500/500, 501/501, 502/502, 503/503, 504/504, 505/505, 506/506, 507/507, 508/508, 509/509, 510/510, 511/511, 512/51 2, 513/513, 514/514, 515/515, 516/516, 517/517, 518/518, 519/519, 520/ 520, 521/521, 522/522, 523/523, 524/524, 525/525, 526/526, 527/527, 52 8/528, 529/529, 530/530, 531/531, 532/532, 533/533, 534/534, 535/535, \+ 536/536, 537/537, 538/538, 539/539, 540/540, 541/541, 542/542, 543/543 , 544/544, 545/545, 546/546, 547/547, 548/548, 549/549, 550/550, 551/5 51, 552/552, 553/553, 554/554, 555/555, 556/556, 557/557, 558/558, 559 /559, 560/560, 561/0," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "gc d(560,561);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "6 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }