[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 504, 12 ] =
{4,4}_[42,6].
(I) Following is a form readable by MAGMA:
g:=Graph<504|{ {2, 3}, {502, 503}, {500, 501}, {498, 499}, {496, 497}, {494,
495}, {492, 493}, {490, 491}, {488, 489}, {486, 487}, {484, 485}, {482, 483},
{480, 481}, {478, 479}, {476, 477}, {474, 475}, {472, 473}, {470, 471}, {468,
469}, {466, 467}, {464, 465}, {462, 463}, {460, 461}, {458, 459}, {456, 457},
{454, 455}, {452, 453}, {450, 451}, {448, 449}, {446, 447}, {444, 445}, {442,
443}, {440, 441}, {438, 439}, {436, 437}, {434, 435}, {432, 433}, {430, 431},
{428, 429}, {426, 427}, {424, 425}, {422, 423}, {418, 419}, {416, 417}, {414,
415}, {412, 413}, {410, 411}, {408, 409}, {406, 407}, {404, 405}, {402, 403},
{400, 401}, {398, 399}, {396, 397}, {394, 395}, {392, 393}, {390, 391}, {388,
389}, {386, 387}, {384, 385}, {382, 383}, {380, 381}, {378, 379}, {376, 377},
{374, 375}, {372, 373}, {370, 371}, {368, 369}, {366, 367}, {364, 365}, {362,
363}, {360, 361}, {358, 359}, {356, 357}, {354, 355}, {352, 353}, {350, 351},
{348, 349}, {346, 347}, {344, 345}, {180, 181}, {178, 179}, {176, 177}, {174,
175}, {172, 173}, {170, 171}, {166, 167}, {164, 165}, {162, 163}, {160, 161},
{158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146,
147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135},
{132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120,
121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109},
{106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95},
{92, 93}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18,
19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34,
35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50,
51}, {52, 53}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66,
67}, {68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82,
83}, {86, 87}, {88, 89}, {90, 91}, {182, 183}, {184, 185}, {186, 187}, {188,
189}, {190, 191}, {192, 193}, {194, 195}, {196, 197}, {198, 199}, {200, 201},
{202, 203}, {204, 205}, {206, 207}, {208, 209}, {210, 211}, {212, 213}, {214,
215}, {216, 217}, {218, 219}, {220, 221}, {222, 223}, {224, 225}, {226, 227},
{228, 229}, {230, 231}, {232, 233}, {234, 235}, {236, 237}, {238, 239}, {240,
241}, {242, 243}, {244, 245}, {246, 247}, {248, 249}, {250, 251}, {254, 255},
{256, 257}, {258, 259}, {260, 261}, {262, 263}, {264, 265}, {266, 267}, {268,
269}, {270, 271}, {272, 273}, {274, 275}, {276, 277}, {278, 279}, {280, 281},
{282, 283}, {284, 285}, {286, 287}, {288, 289}, {290, 291}, {292, 293}, {294,
295}, {296, 297}, {298, 299}, {300, 301}, {302, 303}, {304, 305}, {306, 307},
{308, 309}, {310, 311}, {312, 313}, {314, 315}, {316, 317}, {318, 319}, {320,
321}, {322, 323}, {324, 325}, {326, 327}, {328, 329}, {330, 331}, {332, 333},
{334, 335}, {338, 339}, {340, 341}, {342, 343}, {1, 2}, {501, 502}, {497, 498},
{493, 494}, {489, 490}, {485, 486}, {481, 482}, {477, 478}, {473, 474}, {469,
470}, {465, 466}, {461, 462}, {457, 458}, {453, 454}, {449, 450}, {445, 446},
{441, 442}, {437, 438}, {433, 434}, {429, 430}, {425, 426}, {421, 422}, {417,
418}, {413, 414}, {409, 410}, {405, 406}, {401, 402}, {397, 398}, {393, 394},
{389, 390}, {385, 386}, {381, 382}, {377, 378}, {373, 374}, {369, 370}, {365,
366}, {361, 362}, {357, 358}, {353, 354}, {349, 350}, {345, 346}, {181, 182},
{177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153,
154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130},
{125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101,
102}, {97, 98}, {93, 94}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25,
26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57,
58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89,
90}, {185, 186}, {189, 190}, {193, 194}, {197, 198}, {201, 202}, {205, 206},
{209, 210}, {213, 214}, {217, 218}, {221, 222}, {225, 226}, {229, 230}, {233,
234}, {237, 238}, {241, 242}, {245, 246}, {249, 250}, {253, 254}, {257, 258},
{261, 262}, {265, 266}, {269, 270}, {273, 274}, {277, 278}, {281, 282}, {285,
286}, {289, 290}, {293, 294}, {297, 298}, {301, 302}, {305, 306}, {309, 310},
{313, 314}, {317, 318}, {321, 322}, {325, 326}, {329, 330}, {333, 334}, {337,
338}, {341, 342}, {3, 4}, {499, 500}, {491, 492}, {483, 484}, {475, 476}, {467,
468}, {459, 460}, {451, 452}, {443, 444}, {435, 436}, {427, 428}, {419, 420},
{411, 412}, {403, 404}, {395, 396}, {387, 388}, {379, 380}, {371, 372}, {363,
364}, {355, 356}, {347, 348}, {179, 180}, {171, 172}, {163, 164}, {155, 156},
{147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {99,
100}, {91, 92}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59,
60}, {67, 68}, {75, 76}, {83, 84}, {187, 188}, {195, 196}, {203, 204}, {211,
212}, {219, 220}, {227, 228}, {235, 236}, {243, 244}, {251, 252}, {259, 260},
{267, 268}, {275, 276}, {283, 284}, {291, 292}, {299, 300}, {307, 308}, {315,
316}, {323, 324}, {331, 332}, {339, 340}, {7, 8}, {503, 504}, {487, 488}, {471,
472}, {455, 456}, {439, 440}, {423, 424}, {407, 408}, {391, 392}, {375, 376},
{359, 360}, {343, 344}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {103,
104}, {23, 24}, {39, 40}, {55, 56}, {71, 72}, {87, 88}, {183, 184}, {199, 200},
{215, 216}, {231, 232}, {247, 248}, {263, 264}, {279, 280}, {295, 296}, {311,
312}, {327, 328}, {15, 16}, {495, 496}, {463, 464}, {431, 432}, {399, 400},
{367, 368}, {175, 176}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {207, 208},
{239, 240}, {271, 272}, {303, 304}, {335, 336}, {31, 32}, {479, 480}, {415,
416}, {351, 352}, {159, 160}, {95, 96}, {223, 224}, {287, 288}, {1, 85}, {419,
503}, {418, 502}, {417, 501}, {416, 500}, {395, 479}, {394, 478}, {393, 477},
{392, 476}, {387, 471}, {386, 470}, {385, 469}, {384, 468}, {171, 255}, {170,
254}, {169, 253}, {168, 252}, {163, 247}, {162, 246}, {161, 245}, {160, 244},
{139, 223}, {138, 222}, {137, 221}, {136, 220}, {131, 215}, {130, 214}, {129,
213}, {128, 212}, {2, 86}, {3, 87}, {8, 92}, {9, 93}, {10, 94}, {11, 95}, {32,
116}, {33, 117}, {34, 118}, {35, 119}, {40, 124}, {41, 125}, {42, 126}, {43,
127}, {256, 340}, {257, 341}, {258, 342}, {259, 343}, {264, 348}, {265, 349},
{266, 350}, {267, 351}, {288, 372}, {289, 373}, {290, 374}, {291, 375}, {296,
380}, {297, 381}, {298, 382}, {299, 383}, {1, 84}, {169, 252}, {4, 88}, {420,
504}, {391, 475}, {390, 474}, {389, 473}, {388, 472}, {167, 251}, {166, 250},
{165, 249}, {164, 248}, {135, 219}, {134, 218}, {133, 217}, {132, 216}, {5, 89},
{6, 90}, {7, 91}, {36, 120}, {37, 121}, {38, 122}, {39, 123}, {260, 344}, {261,
345}, {262, 346}, {263, 347}, {292, 376}, {293, 377}, {294, 378}, {295, 379},
{421, 504}, {12, 96}, {415, 499}, {414, 498}, {413, 497}, {412, 496}, {399,
483}, {398, 482}, {397, 481}, {396, 480}, {159, 243}, {158, 242}, {157, 241},
{156, 240}, {143, 227}, {142, 226}, {141, 225}, {140, 224}, {13, 97}, {14, 98},
{15, 99}, {28, 112}, {29, 113}, {30, 114}, {31, 115}, {268, 352}, {269, 353},
{270, 354}, {271, 355}, {284, 368}, {285, 369}, {286, 370}, {287, 371}, {16,
100}, {411, 495}, {410, 494}, {409, 493}, {408, 492}, {403, 487}, {402, 486},
{401, 485}, {400, 484}, {155, 239}, {154, 238}, {153, 237}, {152, 236}, {147,
231}, {146, 230}, {145, 229}, {144, 228}, {17, 101}, {18, 102}, {19, 103}, {24,
108}, {25, 109}, {26, 110}, {27, 111}, {272, 356}, {273, 357}, {274, 358}, {275,
359}, {280, 364}, {281, 365}, {282, 366}, {283, 367}, {20, 104}, {407, 491},
{406, 490}, {405, 489}, {404, 488}, {151, 235}, {150, 234}, {149, 233}, {148,
232}, {21, 105}, {22, 106}, {23, 107}, {276, 360}, {277, 361}, {278, 362}, {279,
363}, {63, 64}, {447, 448}, {191, 192}, {319, 320}, {44, 128}, {383, 467}, {382,
466}, {381, 465}, {380, 464}, {367, 451}, {366, 450}, {365, 449}, {364, 448},
{127, 211}, {126, 210}, {125, 209}, {124, 208}, {111, 195}, {110, 194}, {109,
193}, {108, 192}, {45, 129}, {46, 130}, {47, 131}, {60, 144}, {61, 145}, {62,
146}, {63, 147}, {300, 384}, {301, 385}, {302, 386}, {303, 387}, {316, 400},
{317, 401}, {318, 402}, {319, 403}, {48, 132}, {379, 463}, {378, 462}, {377,
461}, {376, 460}, {371, 455}, {370, 454}, {369, 453}, {368, 452}, {123, 207},
{122, 206}, {121, 205}, {120, 204}, {115, 199}, {114, 198}, {113, 197}, {112,
196}, {49, 133}, {50, 134}, {51, 135}, {56, 140}, {57, 141}, {58, 142}, {59,
143}, {304, 388}, {305, 389}, {306, 390}, {307, 391}, {312, 396}, {313, 397},
{314, 398}, {315, 399}, {52, 136}, {375, 459}, {374, 458}, {373, 457}, {372,
456}, {119, 203}, {118, 202}, {117, 201}, {116, 200}, {53, 137}, {54, 138}, {55,
139}, {308, 392}, {309, 393}, {310, 394}, {311, 395}, {64, 148}, {363, 447},
{362, 446}, {361, 445}, {360, 444}, {355, 439}, {354, 438}, {353, 437}, {352,
436}, {107, 191}, {106, 190}, {105, 189}, {104, 188}, {99, 183}, {98, 182}, {97,
181}, {96, 180}, {65, 149}, {66, 150}, {67, 151}, {72, 156}, {73, 157}, {74,
158}, {75, 159}, {320, 404}, {321, 405}, {322, 406}, {323, 407}, {328, 412},
{329, 413}, {330, 414}, {331, 415}, {68, 152}, {359, 443}, {358, 442}, {357,
441}, {356, 440}, {103, 187}, {102, 186}, {101, 185}, {100, 184}, {69, 153},
{70, 154}, {71, 155}, {324, 408}, {325, 409}, {326, 410}, {327, 411}, {76, 160},
{351, 435}, {350, 434}, {349, 433}, {348, 432}, {95, 179}, {94, 178}, {93, 177},
{92, 176}, {77, 161}, {78, 162}, {79, 163}, {332, 416}, {333, 417}, {334, 418},
{335, 419}, {80, 164}, {347, 431}, {346, 430}, {345, 429}, {344, 428}, {91,
175}, {81, 165}, {82, 166}, {83, 167}, {88, 172}, {89, 173}, {90, 174}, {336,
420}, {337, 421}, {338, 422}, {339, 423}, {337, 420}, {84, 168}, {343, 427},
{342, 426}, {85, 169}, {86, 170}, {87, 171}, {340, 424}, {341, 425}, {85, 168},
{127, 128}, {383, 384}, {1, 427}, {4, 430}, {5, 431}, {16, 442}, {17, 443}, {20,
446}, {21, 447}, {64, 490}, {65, 491}, {68, 494}, {69, 495}, {172, 256}, {175,
259}, {174, 258}, {173, 257}, {188, 272}, {189, 273}, {190, 274}, {191, 275},
{236, 320}, {237, 321}, {238, 322}, {239, 323}, {252, 336}, {253, 337}, {254,
338}, {255, 339}, {253, 336}, {2, 428}, {3, 429}, {18, 444}, {19, 445}, {66,
492}, {67, 493}, {176, 260}, {179, 263}, {178, 262}, {177, 261}, {184, 268},
{185, 269}, {186, 270}, {187, 271}, {240, 324}, {241, 325}, {242, 326}, {243,
327}, {248, 332}, {249, 333}, {250, 334}, {251, 335}, {6, 432}, {7, 433}, {14,
440}, {15, 441}, {70, 496}, {71, 497}, {78, 504}, {8, 434}, {9, 435}, {12, 438},
{13, 439}, {72, 498}, {73, 499}, {76, 502}, {77, 503}, {180, 264}, {181, 265},
{182, 266}, {183, 267}, {244, 328}, {245, 329}, {246, 330}, {247, 331}, {10,
436}, {11, 437}, {74, 500}, {75, 501}, {192, 276}, {193, 277}, {194, 278}, {195,
279}, {200, 284}, {201, 285}, {202, 286}, {203, 287}, {224, 308}, {225, 309},
{226, 310}, {227, 311}, {232, 316}, {233, 317}, {234, 318}, {235, 319}, {22,
448}, {23, 449}, {30, 456}, {31, 457}, {54, 480}, {55, 481}, {62, 488}, {63,
489}, {24, 450}, {25, 451}, {28, 454}, {29, 455}, {56, 482}, {57, 483}, {60,
486}, {61, 487}, {196, 280}, {197, 281}, {198, 282}, {199, 283}, {228, 312},
{229, 313}, {230, 314}, {231, 315}, {26, 452}, {27, 453}, {58, 484}, {59, 485},
{32, 458}, {33, 459}, {36, 462}, {37, 463}, {48, 474}, {49, 475}, {52, 478},
{53, 479}, {79, 421}, {204, 288}, {205, 289}, {206, 290}, {207, 291}, {220,
304}, {221, 305}, {222, 306}, {223, 307}, {34, 460}, {35, 461}, {50, 476}, {51,
477}, {208, 292}, {209, 293}, {210, 294}, {211, 295}, {216, 300}, {217, 301},
{218, 302}, {219, 303}, {38, 464}, {39, 465}, {46, 472}, {47, 473}, {80, 422},
{81, 423}, {40, 466}, {41, 467}, {44, 470}, {45, 471}, {82, 424}, {83, 425},
{212, 296}, {213, 297}, {214, 298}, {215, 299}, {42, 468}, {43, 469}, {84, 426},
{255, 256} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
82, 83, 84)(85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168)(169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252)(253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292,
293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308,
309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324,
325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336)(337, 338, 339, 340,
341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356,
357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372,
373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388,
389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404,
405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419,
420)(421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435,
436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451,
452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467,
468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483,
484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499,
500, 501, 502, 503, 504) (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: (2, 427)(3, 343)(4, 259)(5, 175)(6, 91)(8, 433)(9, 349)(10, 265)(11, 181)(12,
97)(14, 439)(15, 355)(16, 271)(17, 187)(18, 103)(20, 445)(21, 361)(22, 277)(23,
193)(24, 109)(26, 451)(27, 367)(28, 283)(29, 199)(30, 115)(32, 457)(33, 373)(34,
289)(35, 205)(36, 121)(38, 463)(39, 379)(40, 295)(41, 211)(42, 127)(44, 469)(45,
385)(46, 301)(47, 217)(48, 133)(50, 475)(51, 391)(52, 307)(53, 223)(54, 139)(56,
481)(57, 397)(58, 313)(59, 229)(60, 145)(62, 487)(63, 403)(64, 319)(65, 235)(66,
151)(68, 493)(69, 409)(70, 325)(71, 241)(72, 157)(74, 499)(75, 415)(76, 331)(77,
247)(78, 163)(80, 421)(81, 337)(82, 253)(83, 169)(84, 85)(86, 426)(87, 342)(88,
258)(89, 174)(92, 432)(93, 348)(94, 264)(95, 180)(98, 438)(99, 354)(100,
270)(101, 186)(104, 444)(105, 360)(106, 276)(107, 192)(110, 450)(111, 366)(112,
282)(113, 198)(116, 456)(117, 372)(118, 288)(119, 204)(122, 462)(123, 378)(124,
294)(125, 210)(128, 468)(129, 384)(130, 300)(131, 216)(134, 474)(135, 390)(136,
306)(137, 222)(140, 480)(141, 396)(142, 312)(143, 228)(146, 486)(147, 402)(148,
318)(149, 234)(152, 492)(153, 408)(154, 324)(155, 240)(158, 498)(159, 414)(160,
330)(161, 246)(164, 504)(165, 420)(166, 336)(167, 252)(170, 425)(171, 341)(172,
257)(176, 431)(177, 347)(178, 263)(182, 437)(183, 353)(184, 269)(188, 443)(189,
359)(190, 275)(194, 449)(195, 365)(196, 281)(200, 455)(201, 371)(202, 287)(206,
461)(207, 377)(208, 293)(212, 467)(213, 383)(214, 299)(218, 473)(219, 389)(220,
305)(224, 479)(225, 395)(226, 311)(230, 485)(231, 401)(232, 317)(236, 491)(237,
407)(238, 323)(242, 497)(243, 413)(244, 329)(248, 503)(249, 419)(250, 335)(254,
424)(255, 340)(260, 430)(261, 346)(266, 436)(267, 352)(272, 442)(273, 358)(278,
448)(279, 364)(284, 454)(285, 370)(290, 460)(291, 376)(296, 466)(297, 382)(302,
472)(303, 388)(308, 478)(309, 394)(314, 484)(315, 400)(320, 490)(321, 406)(326,
496)(327, 412)(332, 502)(333, 418)(338, 423)(344, 429)(350, 435)(356, 441)(362,
447)(368, 453)(374, 459)(380, 465)(386, 471)(392, 477)(398, 483)(404, 489)(410,
495)(416, 501)
c: (2, 85)(3, 169)(4, 253)(5, 337)(6, 421)(7, 79)(8, 163)(9, 247)(10, 331)(11,
415)(12, 499)(13, 73)(14, 157)(15, 241)(16, 325)(17, 409)(18, 493)(19, 67)(20,
151)(21, 235)(22, 319)(23, 403)(24, 487)(25, 61)(26, 145)(27, 229)(28, 313)(29,
397)(30, 481)(31, 55)(32, 139)(33, 223)(34, 307)(35, 391)(36, 475)(37, 49)(38,
133)(39, 217)(40, 301)(41, 385)(42, 469)(44, 127)(45, 211)(46, 295)(47, 379)(48,
463)(50, 121)(51, 205)(52, 289)(53, 373)(54, 457)(56, 115)(57, 199)(58, 283)(59,
367)(60, 451)(62, 109)(63, 193)(64, 277)(65, 361)(66, 445)(68, 103)(69, 187)(70,
271)(71, 355)(72, 439)(74, 97)(75, 181)(76, 265)(77, 349)(78, 433)(80, 91)(81,
175)(82, 259)(83, 343)(84, 427)(87, 170)(88, 254)(89, 338)(90, 422)(92, 164)(93,
248)(94, 332)(95, 416)(96, 500)(98, 158)(99, 242)(100, 326)(101, 410)(102,
494)(104, 152)(105, 236)(106, 320)(107, 404)(108, 488)(110, 146)(111, 230)(112,
314)(113, 398)(114, 482)(116, 140)(117, 224)(118, 308)(119, 392)(120, 476)(122,
134)(123, 218)(124, 302)(125, 386)(126, 470)(129, 212)(130, 296)(131, 380)(132,
464)(135, 206)(136, 290)(137, 374)(138, 458)(141, 200)(142, 284)(143, 368)(144,
452)(147, 194)(148, 278)(149, 362)(150, 446)(153, 188)(154, 272)(155, 356)(156,
440)(159, 182)(160, 266)(161, 350)(162, 434)(165, 176)(166, 260)(167, 344)(168,
428)(172, 255)(173, 339)(174, 423)(177, 249)(178, 333)(179, 417)(180, 501)(183,
243)(184, 327)(185, 411)(186, 495)(189, 237)(190, 321)(191, 405)(192, 489)(195,
231)(196, 315)(197, 399)(198, 483)(201, 225)(202, 309)(203, 393)(204, 477)(207,
219)(208, 303)(209, 387)(210, 471)(214, 297)(215, 381)(216, 465)(220, 291)(221,
375)(222, 459)(226, 285)(227, 369)(228, 453)(232, 279)(233, 363)(234, 447)(238,
273)(239, 357)(240, 441)(244, 267)(245, 351)(246, 435)(250, 261)(251, 345)(252,
429)(257, 340)(258, 424)(262, 334)(263, 418)(264, 502)(268, 328)(269, 412)(270,
496)(274, 322)(275, 406)(276, 490)(280, 316)(281, 400)(282, 484)(286, 310)(287,
394)(288, 478)(292, 304)(293, 388)(294, 472)(299, 382)(300, 466)(305, 376)(306,
460)(311, 370)(312, 454)(317, 364)(318, 448)(323, 358)(324, 442)(329, 352)(330,
436)(335, 346)(336, 430)(342, 425)(347, 419)(348, 503)(353, 413)(354, 497)(359,
407)(360, 491)(365, 401)(366, 485)(371, 395)(372, 479)(377, 389)(378, 473)(384,
467)(390, 461)(396, 455)(402, 449)(408, 443)(414, 437)(420, 431)(432, 504)(438,
498)(444, 492)(450, 486)(456, 480)(462, 474)
C4[ 504, 12 ]
504
-1 2 84 85 427
-2 1 3 86 428
-3 429 2 4 87
-4 88 430 3 5
-5 89 431 4 6
-6 90 432 5 7
-7 91 433 6 8
-8 92 434 7 9
-9 93 435 8 10
-10 11 94 436 9
-11 12 95 437 10
-12 11 13 96 438
-13 12 14 97 439
-14 440 13 15 98
-15 99 441 14 16
-16 100 442 15 17
-17 101 443 16 18
-18 102 444 17 19
-19 103 445 18 20
-20 104 446 19 21
-21 22 105 447 20
-22 23 106 448 21
-23 22 24 107 449
-24 23 25 108 450
-25 451 24 26 109
-26 110 452 25 27
-27 111 453 26 28
-28 112 454 27 29
-29 113 455 28 30
-30 114 456 29 31
-31 115 457 30 32
-32 33 116 458 31
-33 34 117 459 32
-34 33 35 118 460
-35 34 36 119 461
-36 462 35 37 120
-37 121 463 36 38
-38 122 464 37 39
-39 123 465 38 40
-40 124 466 39 41
-41 125 467 40 42
-42 126 468 41 43
-43 44 127 469 42
-44 45 128 470 43
-45 44 46 129 471
-46 45 47 130 472
-47 473 46 48 131
-48 132 474 47 49
-49 133 475 48 50
-50 134 476 49 51
-51 135 477 50 52
-52 136 478 51 53
-53 137 479 52 54
-54 55 138 480 53
-55 56 139 481 54
-56 55 57 140 482
-57 56 58 141 483
-58 484 57 59 142
-59 143 485 58 60
-60 144 486 59 61
-61 145 487 60 62
-62 146 488 61 63
-63 147 489 62 64
-64 148 490 63 65
-65 66 149 491 64
-66 67 150 492 65
-67 66 68 151 493
-68 67 69 152 494
-69 495 68 70 153
-70 154 496 69 71
-71 155 497 70 72
-72 156 498 71 73
-73 157 499 72 74
-74 158 500 73 75
-75 159 501 74 76
-76 77 160 502 75
-77 78 161 503 76
-78 77 79 162 504
-79 78 80 421 163
-80 79 81 422 164
-81 165 80 82 423
-82 166 81 83 424
-83 167 82 84 425
-84 1 168 83 426
-85 1 168 169 86
-86 2 170 85 87
-87 88 3 171 86
-88 89 4 172 87
-89 88 90 5 173
-90 89 91 6 174
-91 90 92 7 175
-92 176 91 93 8
-93 177 92 94 9
-94 178 93 95 10
-95 11 179 94 96
-96 12 180 95 97
-97 13 181 96 98
-98 99 14 182 97
-99 100 15 183 98
-100 99 101 16 184
-101 100 102 17 185
-102 101 103 18 186
-103 187 102 104 19
-104 188 103 105 20
-105 189 104 106 21
-106 22 190 105 107
-107 23 191 106 108
-108 24 192 107 109
-109 110 25 193 108
-110 111 26 194 109
-111 110 112 27 195
-112 111 113 28 196
-113 112 114 29 197
-114 198 113 115 30
-115 199 114 116 31
-116 200 115 117 32
-117 33 201 116 118
-118 34 202 117 119
-119 35 203 118 120
-120 121 36 204 119
-121 122 37 205 120
-122 121 123 38 206
-123 122 124 39 207
-124 123 125 40 208
-125 209 124 126 41
-126 210 125 127 42
-127 211 126 128 43
-128 44 212 127 129
-129 45 213 128 130
-130 46 214 129 131
-131 132 47 215 130
-132 133 48 216 131
-133 132 134 49 217
-134 133 135 50 218
-135 134 136 51 219
-136 220 135 137 52
-137 221 136 138 53
-138 222 137 139 54
-139 55 223 138 140
-140 56 224 139 141
-141 57 225 140 142
-142 143 58 226 141
-143 144 59 227 142
-144 143 145 60 228
-145 144 146 61 229
-146 145 147 62 230
-147 231 146 148 63
-148 232 147 149 64
-149 233 148 150 65
-150 66 234 149 151
-151 67 235 150 152
-152 68 236 151 153
-153 154 69 237 152
-154 155 70 238 153
-155 154 156 71 239
-156 155 157 72 240
-157 156 158 73 241
-158 242 157 159 74
-159 243 158 160 75
-160 244 159 161 76
-161 77 245 160 162
-162 78 246 161 163
-163 79 247 162 164
-164 165 80 248 163
-165 166 81 249 164
-166 165 167 82 250
-167 166 168 83 251
-168 167 84 85 252
-169 253 170 85 252
-170 254 169 171 86
-171 255 170 172 87
-172 88 256 171 173
-173 89 257 172 174
-174 90 258 173 175
-175 176 91 259 174
-176 177 92 260 175
-177 176 178 93 261
-178 177 179 94 262
-179 178 180 95 263
-180 264 179 181 96
-181 265 180 182 97
-182 266 181 183 98
-183 99 267 182 184
-184 100 268 183 185
-185 101 269 184 186
-186 187 102 270 185
-187 188 103 271 186
-188 187 189 104 272
-189 188 190 105 273
-190 189 191 106 274
-191 275 190 192 107
-192 276 191 193 108
-193 277 192 194 109
-194 110 278 193 195
-195 111 279 194 196
-196 112 280 195 197
-197 198 113 281 196
-198 199 114 282 197
-199 198 200 115 283
-200 199 201 116 284
-201 200 202 117 285
-202 286 201 203 118
-203 287 202 204 119
-204 288 203 205 120
-205 121 289 204 206
-206 122 290 205 207
-207 123 291 206 208
-208 209 124 292 207
-209 210 125 293 208
-210 209 211 126 294
-211 210 212 127 295
-212 211 213 128 296
-213 297 212 214 129
-214 298 213 215 130
-215 299 214 216 131
-216 132 300 215 217
-217 133 301 216 218
-218 134 302 217 219
-219 220 135 303 218
-220 221 136 304 219
-221 220 222 137 305
-222 221 223 138 306
-223 222 224 139 307
-224 308 223 225 140
-225 309 224 226 141
-226 310 225 227 142
-227 143 311 226 228
-228 144 312 227 229
-229 145 313 228 230
-230 231 146 314 229
-231 232 147 315 230
-232 231 233 148 316
-233 232 234 149 317
-234 233 235 150 318
-235 319 234 236 151
-236 320 235 237 152
-237 321 236 238 153
-238 154 322 237 239
-239 155 323 238 240
-240 156 324 239 241
-241 242 157 325 240
-242 243 158 326 241
-243 242 244 159 327
-244 243 245 160 328
-245 244 246 161 329
-246 330 245 247 162
-247 331 246 248 163
-248 332 247 249 164
-249 165 333 248 250
-250 166 334 249 251
-251 167 335 250 252
-252 168 169 336 251
-253 254 169 336 337
-254 253 255 170 338
-255 254 256 171 339
-256 255 257 172 340
-257 341 256 258 173
-258 342 257 259 174
-259 343 258 260 175
-260 176 344 259 261
-261 177 345 260 262
-262 178 346 261 263
-263 264 179 347 262
-264 265 180 348 263
-265 264 266 181 349
-266 265 267 182 350
-267 266 268 183 351
-268 352 267 269 184
-269 353 268 270 185
-270 354 269 271 186
-271 187 355 270 272
-272 188 356 271 273
-273 189 357 272 274
-274 275 190 358 273
-275 276 191 359 274
-276 275 277 192 360
-277 276 278 193 361
-278 277 279 194 362
-279 363 278 280 195
-280 364 279 281 196
-281 365 280 282 197
-282 198 366 281 283
-283 199 367 282 284
-284 200 368 283 285
-285 286 201 369 284
-286 287 202 370 285
-287 286 288 203 371
-288 287 289 204 372
-289 288 290 205 373
-290 374 289 291 206
-291 375 290 292 207
-292 376 291 293 208
-293 209 377 292 294
-294 210 378 293 295
-295 211 379 294 296
-296 297 212 380 295
-297 298 213 381 296
-298 297 299 214 382
-299 298 300 215 383
-300 299 301 216 384
-301 385 300 302 217
-302 386 301 303 218
-303 387 302 304 219
-304 220 388 303 305
-305 221 389 304 306
-306 222 390 305 307
-307 308 223 391 306
-308 309 224 392 307
-309 308 310 225 393
-310 309 311 226 394
-311 310 312 227 395
-312 396 311 313 228
-313 397 312 314 229
-314 398 313 315 230
-315 231 399 314 316
-316 232 400 315 317
-317 233 401 316 318
-318 319 234 402 317
-319 320 235 403 318
-320 319 321 236 404
-321 320 322 237 405
-322 321 323 238 406
-323 407 322 324 239
-324 408 323 325 240
-325 409 324 326 241
-326 242 410 325 327
-327 243 411 326 328
-328 244 412 327 329
-329 330 245 413 328
-330 331 246 414 329
-331 330 332 247 415
-332 331 333 248 416
-333 332 334 249 417
-334 418 333 335 250
-335 419 334 336 251
-336 253 420 335 252
-337 253 420 421 338
-338 254 422 337 339
-339 255 423 338 340
-340 341 256 424 339
-341 342 257 425 340
-342 341 343 258 426
-343 342 344 259 427
-344 343 345 260 428
-345 429 344 346 261
-346 430 345 347 262
-347 431 346 348 263
-348 264 432 347 349
-349 265 433 348 350
-350 266 434 349 351
-351 352 267 435 350
-352 353 268 436 351
-353 352 354 269 437
-354 353 355 270 438
-355 354 356 271 439
-356 440 355 357 272
-357 441 356 358 273
-358 442 357 359 274
-359 275 443 358 360
-360 276 444 359 361
-361 277 445 360 362
-362 363 278 446 361
-363 364 279 447 362
-364 363 365 280 448
-365 364 366 281 449
-366 365 367 282 450
-367 451 366 368 283
-368 452 367 369 284
-369 453 368 370 285
-370 286 454 369 371
-371 287 455 370 372
-372 288 456 371 373
-373 374 289 457 372
-374 375 290 458 373
-375 374 376 291 459
-376 375 377 292 460
-377 376 378 293 461
-378 462 377 379 294
-379 463 378 380 295
-380 464 379 381 296
-381 297 465 380 382
-382 298 466 381 383
-383 299 467 382 384
-384 385 300 468 383
-385 386 301 469 384
-386 385 387 302 470
-387 386 388 303 471
-388 387 389 304 472
-389 473 388 390 305
-390 474 389 391 306
-391 475 390 392 307
-392 308 476 391 393
-393 309 477 392 394
-394 310 478 393 395
-395 396 311 479 394
-396 397 312 480 395
-397 396 398 313 481
-398 397 399 314 482
-399 398 400 315 483
-400 484 399 401 316
-401 485 400 402 317
-402 486 401 403 318
-403 319 487 402 404
-404 320 488 403 405
-405 321 489 404 406
-406 407 322 490 405
-407 408 323 491 406
-408 407 409 324 492
-409 408 410 325 493
-410 409 411 326 494
-411 495 410 412 327
-412 496 411 413 328
-413 497 412 414 329
-414 330 498 413 415
-415 331 499 414 416
-416 332 500 415 417
-417 418 333 501 416
-418 419 334 502 417
-419 418 420 335 503
-420 419 336 337 504
-421 79 422 337 504
-422 80 421 423 338
-423 81 422 424 339
-424 82 423 425 340
-425 341 83 424 426
-426 342 84 425 427
-427 1 343 426 428
-428 429 2 344 427
-429 430 3 345 428
-430 429 431 4 346
-431 430 432 5 347
-432 431 433 6 348
-433 432 434 7 349
-434 433 435 8 350
-435 434 436 9 351
-436 352 435 437 10
-437 11 353 436 438
-438 12 354 437 439
-439 440 13 355 438
-440 441 14 356 439
-441 440 442 15 357
-442 441 443 16 358
-443 442 444 17 359
-444 443 445 18 360
-445 444 446 19 361
-446 445 447 20 362
-447 363 446 448 21
-448 22 364 447 449
-449 23 365 448 450
-450 451 24 366 449
-451 452 25 367 450
-452 451 453 26 368
-453 452 454 27 369
-454 453 455 28 370
-455 454 456 29 371
-456 455 457 30 372
-457 456 458 31 373
-458 374 457 459 32
-459 33 375 458 460
-460 34 376 459 461
-461 462 35 377 460
-462 463 36 378 461
-463 462 464 37 379
-464 463 465 38 380
-465 464 466 39 381
-466 465 467 40 382
-467 466 468 41 383
-468 467 469 42 384
-469 385 468 470 43
-470 44 386 469 471
-471 45 387 470 472
-472 473 46 388 471
-473 474 47 389 472
-474 473 475 48 390
-475 474 476 49 391
-476 475 477 50 392
-477 476 478 51 393
-478 477 479 52 394
-479 478 480 53 395
-480 396 479 481 54
-481 55 397 480 482
-482 56 398 481 483
-483 484 57 399 482
-484 485 58 400 483
-485 484 486 59 401
-486 485 487 60 402
-487 486 488 61 403
-488 487 489 62 404
-489 488 490 63 405
-490 489 491 64 406
-491 407 490 492 65
-492 66 408 491 493
-493 67 409 492 494
-494 495 68 410 493
-495 496 69 411 494
-496 495 497 70 412
-497 496 498 71 413
-498 497 499 72 414
-499 498 500 73 415
-500 499 501 74 416
-501 500 502 75 417
-502 418 501 503 76
-503 77 419 502 504
-504 78 420 421 503
0