[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 500, 20 ] =
CPM(5,2,10,1).
(I) Following is a form readable by MAGMA:
g:=Graph<500|{ {444, 445}, {45, 47}, {489, 491}, {480, 482}, {352, 354}, {180,
183}, {437, 438}, {228, 231}, {249, 253}, {250, 254}, {11, 13}, {434, 436},
{346, 348}, {128, 134}, {66, 68}, {82, 85}, {305, 310}, {120, 127}, {83, 84},
{259, 260}, {3, 11}, {400, 408}, {84, 92}, {23, 31}, {199, 207}, {21, 28}, {196,
205}, {18, 24}, {183, 189}, {49, 59}, {256, 267}, {370, 377}, {327, 332}, {96,
108}, {467, 479}, {455, 459}, {453, 457}, {195, 207}, {224, 236}, {64, 78}, {39,
40}, {146, 157}, {211, 220}, {44, 60}, {257, 273}, {206, 220}, {393, 410}, {431,
444}, {303, 315}, {170, 191}, {75, 93}, {269, 282}, {486, 497}, {385, 409},
{101, 124}, {358, 383}, {206, 215}, {109, 118}, {110, 117}, {226, 254}, {296,
308}, {108, 114}, {362, 372}, {110, 112}, {169, 182}, {262, 281}, {88, 120},
{340, 372}, {72, 105}, {320, 353}, {12, 46}, {129, 163}, {31, 61}, {29, 63},
{256, 290}, {274, 305}, {332, 367}, {323, 352}, {278, 309}, {194, 230}, {24,
61}, {462, 491}, {85, 115}, {337, 374}, {339, 379}, {208, 249}, {148, 190},
{390, 428}, {217, 243}, {322, 361}, {89, 117}, {461, 481}, {395, 423}, {391,
427}, {280, 308}, {8, 37}, {202, 231}, {264, 293}, {457, 487}, {201, 230}, {402,
445}, {77, 125}, {479, 495}, {329, 377}, {88, 104}, {74, 123}, {320, 369}, {149,
167}, {450, 496}, {394, 441}, {138, 190}, {327, 371}, {149, 161}, {198, 243},
{268, 313}, {3, 53}, {83, 100}, {75, 114}, {406, 431}, {404, 429}, {271, 310},
{206, 242}, {405, 425}, {322, 383}, {394, 439}, {204, 243}, {460, 499}, {205,
242}, {37, 101}, {290, 354}, {33, 96}, {262, 324}, {304, 370}, {176, 243}, {178,
246}, {3, 70}, {34, 103}, {167, 225}, {300, 362}, {40, 111}, {390, 449}, {159,
216}, {156, 219}, {47, 104}, {296, 352}, {31, 86}, {429, 484}, {388, 461}, {185,
240}, {278, 351}, {2, 78}, {417, 493}, {53, 120}, {142, 195}, {176, 254}, {142,
193}, {386, 461}, {291, 364}, {11, 91}, {409, 456}, {31, 77}, {43, 121}, {268,
350}, {1, 85}, {24, 76}, {186, 238}, {270, 347}, {402, 455}, {55, 97}, {36,
115}, {154, 194}, {271, 342}, {25, 67}, {49, 106}, {386, 473}, {291, 376}, {128,
219}, {185, 226}, {191, 227}, {318, 355}, {22, 72}, {177, 239}, {15, 80}, {405,
458}, {150, 246}, {284, 380}, {166, 196}, {11, 104}, {265, 365}, {53, 80}, {316,
345}, {269, 360}, {184, 222}, {391, 481}, {256, 359}, {289, 326}, {160, 200},
{165, 205}, {42, 70}, {272, 380}, {19, 126}, {176, 221}, {51, 94}, {316, 338},
{30, 113}, {45, 66}, {150, 230}, {441, 457}, {162, 210}, {168, 218}, {303, 349},
{57, 74}, {16, 100}, {279, 355}, {160, 213}, {173, 216}, {265, 380}, {5, 115},
{165, 211}, {21, 99}, {288, 344}, {173, 212}, {265, 368}, {299, 337}, {306,
328}, {146, 233}, {422, 477}, {260, 383}, {262, 381}, {416, 476}, {137, 244},
{181, 200}, {17, 111}, {54, 73}, {440, 455}, {169, 214}, {280, 359}, {359, 487},
{300, 429}, {22, 148}, {25, 155}, {274, 400}, {48, 179}, {273, 402}, {84, 210},
{363, 493}, {18, 149}, {375, 496}, {292, 419}, {108, 235}, {110, 230}, {295,
431}, {47, 166}, {29, 151}, {367, 485}, {319, 437}, {14, 133}, {303, 420}, {286,
405}, {29, 145}, {83, 223}, {278, 410}, {43, 166}, {62, 179}, {102, 232}, {313,
438}, {38, 182}, {329, 473}, {318, 430}, {126, 238}, {42, 186}, {99, 242}, {264,
409}, {57, 171}, {373, 487}, {311, 421}, {95, 205}, {67, 209}, {344, 459}, {22,
130}, {60, 170}, {335, 473}, {314, 428}, {93, 203}, {284, 394}, {73, 222}, {307,
420}, {103, 240}, {82, 197}, {265, 414}, {39, 191}, {311, 431}, {94, 198}, {79,
215}, {294, 447}, {307, 426}, {35, 185}, {52, 174}, {113, 234}, {58, 166}, {102,
250}, {86, 202}, {62, 162}, {6, 155}, {311, 426}, {107, 245}, {340, 458}, {119,
233}, {260, 410}, {7, 152}, {319, 416}, {46, 177}, {279, 392}, {2, 162}, {39,
135}, {259, 419}, {117, 212}, {353, 448}, {302, 399}, {75, 233}, {375, 469},
{356, 454}, {373, 470}, {58, 158}, {298, 398}, {78, 235}, {333, 488}, {306,
407}, {298, 399}, {79, 234}, {263, 418}, {43, 141}, {97, 199}, {285, 443}, {32,
135}, {361, 462}, {69, 237}, {324, 492}, {125, 213}, {261, 429}, {69, 239}, {79,
228}, {106, 193}, {96, 203}, {3, 175}, {7, 170}, {375, 474}, {302, 387}, {260,
427}, {330, 485}, {316, 403}, {294, 393}, {40, 152}, {50, 130}, {91, 234}, {347,
490}, {325, 500}, {30, 172}, {382, 460}, {304, 386}, {32, 147}, {351, 492}, {8,
188}, {346, 494}, {291, 406}, {301, 408}, {299, 414}, {27, 173}, {338, 484},
{73, 255}, {258, 436}, {364, 475}, {50, 138}, {112, 200}, {26, 163}, {38, 159},
{4, 191}, {126, 197}, {113, 202}, {98, 217}, {87, 236}, {1, 189}, {341, 489},
{299, 407}, {19, 174}, {263, 442}, {286, 416}, {350, 480}, {27, 164}, {346,
485}, {30, 161}, {75, 139}, {368, 432}, {348, 412}, {340, 404}, {123, 187},
{106, 170}, {285, 477}, {54, 247}, {107, 169}, {341, 407}, {86, 149}, {276,
464}, {342, 402}, {85, 147}, {371, 437}, {14, 201}, {46, 233}, {45, 234}, {41,
238}, {48, 248}, {103, 175}, {81, 153}, {292, 493}, {326, 399}, {261, 463},
{361, 419}, {101, 174}, {292, 495}, {121, 181}, {360, 420}, {282, 471}, {365,
416}, {293, 488}, {277, 475}, {329, 391}, {264, 472}, {357, 437}, {335, 415},
{256, 465}, {366, 447}, {281, 456}, {95, 141}, {5, 208}, {357, 432}, {7, 209},
{257, 471}, {44, 251}, {87, 143}, {377, 417}, {277, 461}, {299, 498}, {304,
490}, {345, 387}, {331, 401}, {257, 474}, {39, 251}, {2, 223}, {33, 252}, {282,
455}, {22, 200}, {336, 398}, {88, 134}, {36, 251}, {324, 411}, {90, 186}, {365,
397}, {308, 468}, {12, 237}, {317, 476}, {7, 229}, {336, 434}, {317, 478}, {321,
421}, {59, 222}, {27, 253}, {293, 451}, {23, 240}, {340, 435}, {297, 462}, {348,
436}, {357, 397}, {41, 192}, {329, 419}, {127, 148}, {89, 181}, {16, 253}, {350,
435}, {342, 443}, {127, 144}, {366, 385}, {315, 468}, {314, 459}, {364, 413},
{295, 469}, {296, 474}, {15, 252}, {316, 463}, {277, 486}, {47, 219}, {290,
470}, {56, 204}, {90, 175}, {318, 459}, {284, 489}, {23, 225}, {288, 471}, {12,
244}, {296, 465}, {99, 153}, {349, 423}, {336, 426}, {271, 500}, {275, 488},
{63, 195}, {119, 138}, {270, 499}, {119, 137}, {122, 132}, {48, 207}, {41, 297},
{133, 389}, {70, 327}, {88, 345}, {139, 393}, {209, 467}, {159, 412}, {235,
488}, {57, 317}, {198, 450}, {10, 271}, {26, 287}, {158, 408}, {86, 337}, {177,
438}, {213, 466}, {146, 410}, {17, 280}, {150, 415}, {60, 309}, {124, 374},
{207, 453}, {215, 477}, {28, 279}, {144, 411}, {125, 374}, {61, 310}, {188,
439}, {223, 468}, {156, 400}, {204, 448}, {5, 264}, {116, 378}, {18, 285}, {137,
390}, {95, 336}, {190, 433}, {57, 297}, {110, 382}, {78, 350}, {72, 344}, {10,
283}, {138, 411}, {115, 354}, {213, 452}, {13, 287}, {143, 413}, {79, 348},
{155, 392}, {245, 486}, {44, 312}, {163, 439}, {193, 469}, {199, 467}, {19,
262}, {29, 267}, {38, 304}, {247, 481}, {91, 332}, {148, 387}, {116, 355}, {142,
406}, {201, 465}, {20, 269}, {248, 481}, {60, 294}, {133, 415}, {87, 333}, {76,
342}, {248, 482}, {111, 372}, {59, 294}, {165, 440}, {192, 478}, {201, 471},
{15, 272}, {124, 355}, {158, 446}, {164, 388}, {225, 449}, {239, 463}, {25,
312}, {153, 440}, {105, 331}, {153, 443}, {38, 258}, {177, 404}, {179, 406},
{236, 457}, {74, 365}, {225, 454}, {119, 351}, {9, 288}, {141, 420}, {136, 417},
{56, 273}, {55, 286}, {219, 498}, {221, 500}, {144, 442}, {195, 495}, {20, 315},
{173, 386}, {8, 312}, {16, 289}, {64, 369}, {33, 275}, {53, 263}, {77, 382},
{180, 391}, {183, 388}, {154, 430}, {241, 453}, {171, 414}, {227, 469}, {61,
266}, {236, 475}, {59, 259}, {189, 389}, {131, 441}, {249, 451}, {240, 460},
{92, 353}, {216, 486}, {161, 414}, {8, 328}, {171, 489}, {122, 313}, {139, 456},
{51, 375}, {71, 259}, {244, 433}, {81, 279}, {130, 452}, {107, 301}, {54, 369},
{145, 470}, {218, 413}, {109, 295}, {82, 281}, {129, 458}, {100, 303}, {212,
415}, {227, 424}, {42, 358}, {140, 448}, {96, 300}, {221, 401}, {14, 323}, {229,
424}, {124, 306}, {140, 450}, {9, 326}, {94, 273}, {80, 287}, {68, 276}, {112,
288}, {58, 360}, {152, 458}, {63, 364}, {216, 395}, {28, 328}, {144, 452}, {187,
495}, {32, 373}, {164, 497}, {41, 383}, {229, 435}, {51, 363}, {232, 433}, {176,
490}, {202, 400}, {17, 333}, {109, 307}, {252, 418}, {77, 274}, {56, 344}, {98,
258}, {37, 324}, {242, 403}, {136, 490}, {214, 436}, {52, 343}, {4, 352}, {189,
473}, {218, 446}, {224, 388}, {34, 327}, {52, 337}, {26, 380}, {84, 307}, {139,
492}, {123, 284}, {197, 418}, {198, 417}, {220, 443}, {1, 361}, {35, 331}, {34,
330}, {245, 413}, {35, 330}, {81, 314}, {160, 460}, {121, 276}, {71, 297}, {211,
445}, {21, 378}, {183, 472}, {62, 334}, {160, 464}, {95, 302}, {253, 396}, {10,
376}, {71, 309}, {187, 462}, {67, 309}, {76, 314}, {255, 393}, {210, 421}, {147,
491}, {154, 483}, {167, 478}, {211, 426}, {69, 319}, {184, 450}, {239, 405},
{118, 269}, {232, 403}, {46, 338}, {104, 276}, {80, 300}, {186, 454}, {194,
446}, {206, 434}, {241, 397}, {13, 368}, {161, 476}, {92, 289}, {67, 317}, {114,
268}, {237, 403}, {255, 385}, {12, 371}, {175, 464}, {156, 483}, {5, 389}, {154,
282}, {6, 390}, {55, 438}, {164, 293}, {14, 396}, {237, 367}, {64, 451}, {134,
261}, {113, 498}, {102, 485}, {97, 482}, {55, 435}, {129, 261}, {9, 396}, {168,
301}, {162, 295}, {247, 370}, {6, 384}, {251, 381}, {197, 322}, {252, 379}, {42,
418}, {90, 466}, {103, 494}, {199, 334}, {82, 472}, {169, 291}, {43, 423}, {26,
407}, {140, 257}, {51, 444}, {193, 334}, {212, 347}, {83, 451}, {131, 275},
{159, 270}, {18, 384}, {223, 333}, {131, 272}, {172, 319}, {208, 323}, {100,
497}, {126, 491}, {116, 483}, {71, 479}, {122, 482}, {249, 353}, {74, 467},
{168, 305}, {134, 287}, {217, 320}, {16, 395}, {36, 447}, {120, 484}, {65, 476},
{150, 267}, {196, 345}, {27, 389}, {50, 428}, {40, 439}, {135, 280}, {235, 372},
{152, 312}, {101, 452}, {241, 339}, {182, 277}, {210, 369}, {192, 356}, {87,
497}, {133, 290}, {222, 377}, {17, 441}, {245, 349}, {19, 442}, {56, 401}, {2,
424}, {94, 500}, {89, 499}, {68, 494}, {32, 394}, {20, 446}, {146, 313}, {217,
370}, {229, 334}, {248, 339}, {118, 474}, {141, 289}, {37, 392}, {127, 464},
{25, 425}, {250, 331}, {128, 306}, {185, 266}, {224, 339}, {246, 325}, {143,
315}, {28, 425}, {145, 292}, {106, 479}, {91, 494}, {45, 408}, {10, 444}, {247,
321}, {68, 499}, {178, 266}, {215, 367}, {226, 346}, {93, 484}, {109, 468},
{238, 343}, {50, 392}, {4, 447}, {130, 318}, {123, 453}, {196, 378}, {208, 366},
{244, 330}, {15, 432}, {44, 492}, {49, 496}, {65, 384}, {64, 385}, {188, 381},
{30, 477}, {158, 349}, {155, 351}, {20, 465}, {105, 428}, {99, 422}, {23, 466},
{93, 411}, {232, 302}, {72, 399}, {136, 335}, {111, 424}, {98, 421}, {220, 283},
{246, 305}, {9, 448}, {163, 362}, {129, 328}, {228, 301}, {118, 445}, {116,
440}, {178, 382}, {203, 263}, {136, 325}, {165, 360}, {214, 283}, {187, 373},
{140, 323}, {180, 379}, {209, 286}, {168, 376}, {194, 274}, {250, 298}, {81,
384}, {122, 427}, {218, 267}, {231, 310}, {89, 395}, {151, 325}, {92, 398},
{203, 281}, {125, 430}, {102, 434}, {54, 480}, {184, 366}, {192, 278}, {1, 470},
{221, 266}, {227, 308}, {6, 478}, {105, 433}, {63, 487}, {24, 449}, {58, 483},
{21, 463}, {49, 493}, {172, 368}, {76, 401}, {62, 480}, {145, 335}, {112, 430},
{66, 412}, {90, 442}, {172, 332}, {132, 357}, {214, 311}, {241, 272}, {35, 449},
{132, 358}, {73, 427}, {69, 422}, {34, 454}, {66, 423}, {142, 363}, {135, 354},
{52, 466}, {114, 404}, {204, 298}, {65, 422}, {65, 425}, {143, 359}, {131, 362},
{178, 347}, {188, 341}, {156, 374}, {48, 475}, {36, 456}, {98, 398}, {97, 397},
{190, 338}, {226, 270}, {137, 356}, {147, 381}, {157, 371}, {151, 376}, {167,
343}, {179, 321}, {181, 326}, {224, 275}, {255, 268}, {4, 496}, {108, 409}, {70,
432}, {180, 322}, {107, 412}, {182, 321}, {184, 320}, {33, 472}, {157, 356},
{117, 396}, {121, 387}, {128, 378}, {231, 285}, {157, 358}, {174, 341}, {151,
363}, {171, 343}, {254, 258}, {13, 498}, {132, 379}, {228, 283} }>;
(II) A more general form is to represent the graph as the orbit of {444, 445}
under the group generated by the following permutations:
a: (1, 2, 145, 210, 415, 307, 246, 336, 382, 205, 31, 403, 466, 463, 343, 177,
126, 340, 462, 350)(3, 287, 265, 357, 252, 131, 453, 248, 388, 87, 364, 182,
216, 349, 301, 348, 68, 47, 113, 332)(4, 496, 450, 140, 257, 273, 56, 344, 459,
314, 428, 50, 392, 155, 351, 492, 44, 60, 294, 447)(5, 308, 363, 217, 396, 269,
271, 250, 200, 116, 18, 244, 144, 328, 317, 146, 281, 40, 479, 73)(6, 119, 324,
312, 309, 393, 36, 191, 49, 184, 323, 474, 94, 204, 288, 455, 76, 105, 130,
279)(7, 259, 385, 354, 469, 417, 353, 201, 445, 221, 399, 430, 153, 449, 190,
101, 425, 192, 75, 381)(8, 67, 410, 456, 39, 106, 222, 208, 296, 51, 243, 9,
282, 342, 331, 22, 355, 384, 137, 411)(10, 254, 181, 483, 285, 330, 127, 306,
476, 157, 203, 439, 467, 427, 264, 280, 142, 370, 253, 20)(11, 13, 368, 432, 15,
272, 241, 339, 224, 236, 475, 277, 486, 245, 107, 412, 66, 45, 234, 91)(12, 442,
129, 57, 313, 82, 111, 495, 54, 389, 468, 151, 98, 117, 360, 310, 102, 160, 378,
149)(14, 118, 500, 298, 112, 440, 24, 433, 452, 28, 478, 233, 262, 152, 71, 255,
115, 227, 493, 320)(16, 446, 283, 226, 121, 156, 477, 34, 120, 407, 416, 358,
96, 394, 199, 391, 293, 359, 406, 304)(17, 195, 247, 27, 315, 376, 258, 89, 58,
231, 485, 464, 128, 161, 371, 263, 163, 74, 122, 472)(19, 458, 297, 268, 85,
424, 292, 369, 133, 109, 325, 398, 110, 165, 61, 232, 213, 21, 167, 46)(23, 316,
52, 239, 238, 404, 491, 435, 361, 78, 470, 162, 335, 84, 150, 426, 178, 95, 77,
242)(25, 278, 139, 251, 170, 59, 366, 352, 375, 198, 448, 471, 402, 401, 72,
318, 81, 390, 138, 37)(26, 365, 132, 33, 441, 207, 481, 164, 143, 291, 38, 395,
158, 228, 346, 276, 219, 30, 327, 53)(29, 421, 212, 420, 305, 434, 460, 196, 86,
237, 90, 261, 171, 438, 197, 372, 187, 480, 189, 223)(32, 334, 329, 451, 256,
431, 490, 289, 194, 220, 185, 387, 374, 422, 454, 484, 341, 286, 383, 108)(35,
148, 124, 65, 356, 93, 188, 209, 260, 409, 135, 193, 377, 249, 465, 444, 176,
326, 154, 443)(41, 114, 147, 229, 419, 64, 290, 295, 136, 92, 230, 211, 266,
302, 125, 99, 225, 338, 174, 405)(42, 300, 284, 97, 180, 488, 487, 179, 386,
100, 218, 214, 270, 43, 400, 215, 103, 88, 299, 319)(48, 461, 497, 413, 169,
159, 423, 408, 79, 494, 104, 498, 172, 70, 80, 380, 397, 379, 275, 457)(55, 322,
235, 373, 62, 473, 83, 267, 311, 347, 141, 274, 206, 240, 345, 337, 69, 186,
429, 489)(63, 321, 173, 303, 168, 436, 499, 166, 202, 367, 175, 134, 414, 437,
418, 362, 123, 482, 183, 333) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (3, 299)(4, 366)(5, 354)(6, 137)(7, 268)(8, 93)(9, 471)(10, 258)(11, 498)(12,
65)(15, 380)(16, 20)(17, 488)(18, 330)(21, 316)(22, 318)(24, 35)(25, 233)(26,
80)(27, 256)(28, 338)(29, 386)(30, 332)(31, 240)(32, 472)(33, 394)(34, 149)(37,
411)(38, 376)(39, 409)(40, 108)(42, 171)(43, 58)(44, 139)(46, 425)(49, 222)(51,
217)(52, 90)(53, 407)(54, 193)(57, 358)(60, 393)(61, 185)(63, 461)(64, 227)(66,
408)(67, 146)(68, 400)(70, 414)(71, 260)(72, 459)(73, 106)(74, 132)(75, 312)(76,
331)(77, 460)(78, 424)(81, 433)(82, 147)(83, 468)(84, 109)(86, 103)(88, 128)(89,
194)(91, 113)(92, 118)(94, 243)(95, 165)(96, 439)(98, 444)(99, 403)(100,
315)(101, 144)(102, 443)(104, 219)(105, 314)(111, 235)(114, 152)(116, 387)(117,
230)(119, 155)(120, 306)(121, 483)(122, 467)(123, 379)(124, 127)(125, 160)(129,
429)(135, 264)(138, 392)(141, 360)(142, 247)(143, 497)(145, 473)(148, 355)(150,
212)(151, 304)(153, 232)(154, 181)(156, 276)(157, 317)(158, 423)(159, 168)(161,
327)(163, 300)(164, 359)(167, 454)(170, 255)(173, 267)(174, 442)(175, 337)(176,
500)(177, 405)(180, 187)(182, 291)(183, 373)(184, 496)(186, 343)(188, 203)(189,
470)(190, 279)(191, 385)(195, 481)(197, 491)(199, 482)(200, 430)(201, 396)(202,
494)(204, 273)(207, 248)(208, 352)(209, 313)(210, 295)(211, 336)(216, 218)(220,
434)(224, 457)(226, 310)(228, 348)(229, 350)(231, 346)(237, 422)(244, 384)(246,
347)(249, 296)(250, 342)(251, 456)(252, 284)(253, 465)(254, 271)(257, 448)(263,
341)(265, 432)(269, 289)(270, 305)(274, 499)(275, 441)(277, 364)(280, 293)(281,
381)(282, 326)(283, 436)(285, 485)(286, 438)(290, 389)(292, 329)(297, 383)(298,
402)(301, 412)(302, 440)(308, 451)(309, 410)(320, 375)(321, 406)(322, 462)(325,
490)(328, 484)(334, 480)(339, 453)(345, 378)(353, 474)(356, 478)(357, 365)(363,
370)(367, 477)(369, 469)(371, 476)(374, 464)(377, 493)(388, 487)(391, 495)(395,
446)(398, 445)(399, 455)(404, 458)(413, 486)(416, 437)(418, 489)(421, 431)(427,
479)
c: (2, 229)(3, 221)(4, 441)(5, 187)(6, 423)(7, 223)(8, 20)(9, 414)(10, 484)(11,
401)(12, 436)(13, 56)(14, 489)(15, 198)(16, 317)(17, 191)(18, 121)(19, 150)(21,
165)(22, 202)(23, 460)(24, 276)(25, 303)(26, 257)(27, 297)(28, 360)(29, 281)(30,
399)(31, 160)(32, 354)(33, 493)(34, 226)(35, 494)(36, 487)(37, 446)(38, 157)(39,
280)(40, 308)(41, 173)(42, 490)(43, 384)(44, 143)(45, 428)(46, 214)(47, 314)(48,
255)(49, 275)(50, 408)(51, 300)(52, 110)(53, 500)(54, 482)(55, 210)(57, 253)(58,
279)(59, 224)(60, 87)(61, 464)(62, 350)(63, 456)(64, 199)(65, 141)(66, 390)(67,
100)(68, 449)(69, 336)(70, 176)(71, 164)(72, 113)(73, 248)(74, 249)(75, 291)(76,
104)(77, 213)(78, 334)(79, 433)(80, 94)(81, 166)(82, 145)(83, 209)(84, 286)(85,
470)(86, 200)(88, 342)(89, 167)(90, 178)(91, 331)(92, 416)(93, 376)(95, 422)(96,
363)(97, 369)(98, 437)(99, 205)(101, 194)(102, 367)(103, 185)(105, 234)(106,
488)(107, 119)(108, 142)(109, 458)(111, 227)(112, 337)(114, 406)(115, 373)(117,
343)(118, 129)(120, 271)(122, 247)(123, 208)(124, 154)(126, 415)(127, 310)(128,
455)(130, 400)(131, 496)(132, 370)(133, 491)(134, 402)(136, 418)(137, 412)(138,
301)(139, 364)(140, 380)(144, 305)(146, 182)(147, 290)(148, 231)(149, 181)(151,
203)(152, 468)(153, 196)(155, 349)(156, 318)(158, 392)(159, 356)(161, 326)(162,
435)(163, 474)(168, 411)(169, 233)(170, 333)(171, 396)(172, 298)(174, 230)(175,
266)(177, 311)(179, 268)(180, 329)(183, 419)(184, 241)(186, 347)(188, 465)(189,
361)(190, 228)(192, 216)(193, 235)(195, 409)(197, 335)(201, 341)(204, 368)(206,
403)(207, 385)(211, 463)(212, 238)(215, 232)(217, 357)(218, 324)(219, 459)(220,
316)(222, 339)(225, 499)(236, 294)(237, 434)(239, 426)(243, 432)(244, 348)(245,
351)(246, 442)(250, 332)(251, 359)(252, 417)(254, 327)(256, 381)(258, 371)(259,
388)(260, 461)(261, 445)(262, 267)(263, 325)(264, 495)(265, 448)(269, 328)(270,
454)(272, 450)(273, 287)(274, 452)(277, 410)(278, 486)(282, 306)(283, 338)(284,
323)(285, 387)(288, 299)(289, 476)(292, 472)(293, 479)(295, 340)(296, 439)(302,
477)(304, 358)(307, 405)(309, 497)(312, 315)(313, 321)(319, 398)(320, 397)(322,
473)(330, 346)(344, 498)(345, 443)(352, 394)(353, 365)(355, 483)(362, 375)(366,
453)(372, 469)(374, 430)(377, 379)(378, 440)(382, 466)(383, 386)(389, 462)(393,
475)(395, 478)(404, 431)(407, 471)(413, 492)(420, 425)(421, 438)(427, 481)(429,
444)(447, 457)(451, 467)
C4[ 500, 20 ]
500
-1 189 85 470 361
-2 78 223 424 162
-3 11 70 53 175
-4 352 496 191 447
-5 264 389 115 208
-6 155 390 478 384
-7 209 170 152 229
-8 188 37 312 328
-9 396 288 326 448
-10 376 444 271 283
-11 13 3 91 104
-12 46 244 237 371
-13 11 287 498 368
-14 396 133 201 323
-15 80 432 272 252
-16 253 100 289 395
-17 111 441 333 280
-18 24 149 285 384
-19 442 126 174 262
-20 465 269 446 315
-21 99 463 378 28
-22 200 148 72 130
-23 466 225 31 240
-24 61 18 449 76
-25 67 155 312 425
-26 407 287 380 163
-27 253 389 173 164
-28 279 425 328 21
-29 145 267 63 151
-30 113 477 161 172
-31 77 23 61 86
-32 135 147 394 373
-33 275 96 252 472
-34 330 454 103 327
-35 330 331 185 449
-36 115 456 447 251
-37 101 324 392 8
-38 159 258 182 304
-39 135 191 40 251
-40 111 39 152 439
-41 297 192 238 383
-42 418 70 358 186
-43 121 166 423 141
-44 312 60 492 251
-45 66 408 47 234
-46 12 177 233 338
-47 45 166 104 219
-48 475 179 248 207
-49 496 59 106 493
-50 138 392 130 428
-51 363 375 444 94
-52 343 466 337 174
-53 3 80 120 263
-54 247 369 73 480
-55 286 435 97 438
-56 344 401 204 273
-57 297 171 74 317
-58 166 158 360 483
-59 222 49 259 294
-60 44 309 170 294
-61 24 266 310 31
-62 179 334 480 162
-63 364 487 29 195
-64 385 451 78 369
-65 476 422 425 384
-66 45 68 412 423
-67 209 309 25 317
-68 66 276 499 494
-69 319 422 237 239
-70 3 432 327 42
-71 297 309 259 479
-72 22 344 399 105
-73 222 255 427 54
-74 57 123 365 467
-75 233 114 93 139
-76 342 24 401 314
-77 125 382 31 274
-78 2 235 64 350
-79 234 215 348 228
-80 287 300 15 53
-81 279 314 153 384
-82 281 85 197 472
-83 451 100 223 84
-84 210 92 83 307
-85 1 147 82 115
-86 202 149 337 31
-87 143 497 333 236
-88 134 345 104 120
-89 499 181 117 395
-90 442 466 175 186
-91 11 332 234 494
-92 353 398 289 84
-93 484 411 203 75
-94 198 500 51 273
-95 302 336 205 141
-96 33 300 203 108
-97 55 199 397 482
-98 398 421 258 217
-99 242 422 21 153
-100 497 16 83 303
-101 452 124 37 174
-102 232 485 434 250
-103 34 240 175 494
-104 11 88 276 47
-105 331 433 72 428
-106 49 170 193 479
-107 245 169 301 412
-108 409 114 235 96
-109 468 118 295 307
-110 112 117 382 230
-111 17 424 40 372
-112 110 430 200 288
-113 234 498 202 30
-114 268 404 75 108
-115 354 36 5 85
-116 440 355 378 483
-117 110 396 89 212
-118 474 269 445 109
-119 233 137 138 351
-120 88 484 127 53
-121 276 387 181 43
-122 132 313 427 482
-123 187 453 74 284
-124 374 101 355 306
-125 77 374 430 213
-126 238 491 19 197
-127 144 464 148 120
-128 134 378 306 219
-129 458 261 163 328
-130 22 452 50 318
-131 275 441 272 362
-132 122 357 379 358
-133 14 290 389 415
-134 88 287 128 261
-135 354 280 39 32
-136 335 325 490 417
-137 244 356 390 119
-138 190 411 50 119
-139 456 393 492 75
-140 257 323 448 450
-141 420 289 95 43
-142 363 193 195 406
-143 413 315 359 87
-144 452 442 411 127
-145 335 292 29 470
-146 233 157 410 313
-147 381 491 85 32
-148 22 387 190 127
-149 167 18 161 86
-150 267 246 415 230
-151 363 376 325 29
-152 312 7 40 458
-153 99 440 443 81
-154 430 194 282 483
-155 25 6 392 351
-156 374 400 219 483
-157 146 356 358 371
-158 408 58 446 349
-159 38 412 270 216
-160 200 464 213 460
-161 476 149 414 30
-162 210 2 62 295
-163 26 129 362 439
-164 497 388 27 293
-165 440 211 205 360
-166 47 58 196 43
-167 343 225 478 149
-168 376 301 305 218
-169 214 291 182 107
-170 191 60 7 106
-171 57 343 489 414
-172 319 332 368 30
-173 386 212 27 216
-174 341 101 19 52
-175 90 464 3 103
-176 221 243 254 490
-177 46 239 404 438
-178 266 246 347 382
-179 321 48 62 406
-180 322 379 391 183
-181 121 89 200 326
-182 277 321 169 38
-183 189 388 180 472
-184 320 222 366 450
-185 35 266 226 240
-186 90 454 238 42
-187 462 495 123 373
-188 341 381 8 439
-189 473 1 389 183
-190 433 148 138 338
-191 4 170 39 227
-192 278 356 478 41
-193 334 106 469 142
-194 154 446 230 274
-195 495 63 207 142
-196 166 345 378 205
-197 418 322 82 126
-198 243 94 417 450
-199 334 467 97 207
-200 22 112 181 160
-201 14 465 471 230
-202 231 113 400 86
-203 93 281 96 263
-204 56 243 298 448
-205 165 242 95 196
-206 220 242 434 215
-207 199 453 48 195
-208 366 323 5 249
-209 286 67 467 7
-210 421 369 84 162
-211 165 220 445 426
-212 347 117 173 415
-213 452 125 466 160
-214 311 169 436 283
-215 79 367 477 206
-216 486 159 173 395
-217 243 320 370 98
-218 168 267 413 446
-219 156 47 498 128
-220 211 443 206 283
-221 176 266 401 500
-222 377 59 73 184
-223 2 333 83 468
-224 275 388 236 339
-225 23 167 454 449
-226 254 346 270 185
-227 308 191 424 469
-228 231 79 301 283
-229 334 424 435 7
-230 110 201 150 194
-231 310 202 228 285
-232 102 433 302 403
-233 46 146 75 119
-234 45 79 91 113
-235 78 488 108 372
-236 475 224 457 87
-237 12 69 367 403
-238 343 126 41 186
-239 177 463 69 405
-240 23 103 185 460
-241 397 453 272 339
-242 99 205 403 206
-243 176 198 204 217
-244 330 12 433 137
-245 486 413 107 349
-246 178 325 150 305
-247 321 370 481 54
-248 48 481 339 482
-249 253 451 353 208
-250 254 298 331 102
-251 44 36 39 381
-252 33 418 15 379
-253 396 16 27 249
-254 176 258 226 250
-255 385 268 73 393
-256 267 465 290 359
-257 474 140 273 471
-258 254 38 436 98
-259 419 59 71 260
-260 410 259 383 427
-261 429 463 134 129
-262 324 281 381 19
-263 418 442 203 53
-264 409 5 293 472
-265 365 368 380 414
-266 221 178 61 185
-267 256 29 150 218
-268 255 114 313 350
-269 282 118 360 20
-270 499 159 226 347
-271 342 310 500 10
-272 15 380 131 241
-273 56 257 94 402
-274 77 400 194 305
-275 33 224 488 131
-276 121 68 464 104
-277 475 486 182 461
-278 309 410 192 351
-279 355 81 28 392
-280 308 135 17 359
-281 82 203 456 262
-282 154 455 269 471
-283 220 214 228 10
-284 123 489 380 394
-285 231 443 477 18
-286 55 209 405 416
-287 13 134 80 26
-288 112 344 9 471
-289 92 16 326 141
-290 133 354 256 470
-291 364 376 169 406
-292 495 419 145 493
-293 264 451 488 164
-294 59 60 447 393
-295 431 469 162 109
-296 308 352 474 465
-297 462 57 71 41
-298 398 399 204 250
-299 407 498 337 414
-300 429 80 96 362
-301 408 168 107 228
-302 232 387 399 95
-303 100 420 315 349
-304 386 38 490 370
-305 310 168 246 274
-306 407 124 128 328
-307 420 84 426 109
-308 280 468 227 296
-309 67 278 60 71
-310 231 61 271 305
-311 431 421 214 426
-312 44 25 8 152
-313 122 146 268 438
-314 81 459 76 428
-315 143 303 468 20
-316 463 345 403 338
-317 67 57 476 478
-318 430 355 459 130
-319 69 172 437 416
-320 353 369 184 217
-321 179 421 247 182
-322 180 361 383 197
-323 352 14 140 208
-324 37 411 492 262
-325 136 246 500 151
-326 289 399 181 9
-327 34 332 70 371
-328 28 8 129 306
-329 473 419 377 391
-330 34 485 35 244
-331 35 401 105 250
-332 91 367 172 327
-333 223 488 17 87
-334 199 193 62 229
-335 473 145 136 415
-336 398 434 95 426
-337 374 299 52 86
-338 484 46 190 316
-339 224 379 248 241
-340 435 458 404 372
-341 407 188 489 174
-342 443 402 271 76
-343 167 171 238 52
-344 56 288 72 459
-345 88 387 316 196
-346 485 226 348 494
-347 178 212 270 490
-348 79 346 412 436
-349 245 158 423 303
-350 78 268 435 480
-351 155 278 492 119
-352 354 4 323 296
-353 320 92 249 448
-354 352 135 290 115
-355 124 279 116 318
-356 157 454 137 192
-357 132 397 432 437
-358 132 157 42 383
-359 143 256 487 280
-360 165 420 58 269
-361 462 1 419 322
-362 300 163 372 131
-363 51 151 493 142
-364 475 291 413 63
-365 265 397 74 416
-366 385 447 184 208
-367 485 332 215 237
-368 265 13 432 172
-369 210 320 64 54
-370 377 247 304 217
-371 12 157 327 437
-372 111 235 340 362
-373 187 487 470 32
-374 156 124 125 337
-375 474 496 51 469
-376 168 291 151 10
-377 222 370 329 417
-378 116 128 196 21
-379 132 180 339 252
-380 265 26 272 284
-381 188 147 251 262
-382 77 110 178 460
-383 322 358 260 41
-384 81 6 18 65
-385 255 409 366 64
-386 473 304 173 461
-387 121 345 148 302
-388 224 183 164 461
-389 133 189 5 27
-390 137 6 449 428
-391 180 481 427 329
-392 155 37 279 50
-393 255 410 139 294
-394 441 284 32 439
-395 89 16 423 216
-396 253 14 117 9
-397 365 357 97 241
-398 298 92 336 98
-399 298 302 72 326
-400 408 156 202 274
-401 56 221 331 76
-402 342 455 445 273
-403 242 232 237 316
-404 429 177 114 340
-405 286 425 458 239
-406 431 179 291 142
-407 341 299 26 306
-408 45 158 301 400
-409 264 385 456 108
-410 146 278 260 393
-411 144 93 324 138
-412 66 159 348 107
-413 143 364 245 218
-414 265 299 171 161
-415 133 212 335 150
-416 286 319 365 476
-417 198 377 136 493
-418 42 197 252 263
-419 259 292 361 329
-420 303 360 141 307
-421 210 321 311 98
-422 99 69 477 65
-423 66 349 43 395
-424 111 2 227 229
-425 25 28 405 65
-426 211 311 336 307
-427 122 391 73 260
-428 390 50 105 314
-429 484 300 261 404
-430 154 112 125 318
-431 311 444 295 406
-432 15 70 357 368
-433 232 244 190 105
-434 102 336 436 206
-435 55 229 350 340
-436 214 258 434 348
-437 319 357 371 438
-438 55 177 313 437
-439 188 40 163 394
-440 165 455 116 153
-441 17 457 394 131
-442 144 90 19 263
-443 220 342 153 285
-444 431 445 51 10
-445 211 444 402 118
-446 158 194 20 218
-447 36 366 4 294
-448 353 204 140 9
-449 24 35 225 390
-450 198 496 140 184
-451 83 249 293 64
-452 144 101 213 130
-453 123 457 207 241
-454 34 356 225 186
-455 440 402 282 459
-456 409 36 281 139
-457 441 453 487 236
-458 129 152 405 340
-459 344 455 314 318
-460 499 160 382 240
-461 386 277 388 481
-462 187 297 491 361
-463 239 261 316 21
-464 276 127 160 175
-465 201 256 20 296
-466 23 90 213 52
-467 209 199 479 74
-468 308 223 315 109
-469 375 193 227 295
-470 1 145 290 373
-471 288 201 257 282
-472 33 264 82 183
-473 386 189 335 329
-474 375 257 118 296
-475 364 277 48 236
-476 161 317 416 65
-477 422 215 30 285
-478 167 192 6 317
-479 495 71 467 106
-480 62 350 482 54
-481 247 248 391 461
-482 122 248 480 97
-483 154 156 58 116
-484 429 93 338 120
-485 330 102 367 346
-486 277 497 245 216
-487 457 359 63 373
-488 275 333 235 293
-489 341 171 491 284
-490 176 136 347 304
-491 462 147 126 489
-492 44 324 139 351
-493 363 49 292 417
-494 68 91 103 346
-495 187 292 479 195
-496 375 4 49 450
-497 100 486 87 164
-498 13 299 113 219
-499 89 68 270 460
-500 221 94 325 271
0