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[Families]
On this page are computer-accessible forms for the graph C4[ 512, 225 ] =
UG(ATD[512,495]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {42, 43}, {404, 405}, {114, 115}, {278, 279}, {290, 291}, {44,
46}, {477, 479}, {456, 458}, {368, 370}, {176, 178}, {96, 98}, {1, 2}, {385,
386}, {36, 39}, {240, 243}, {48, 52}, {448, 452}, {409, 413}, {170, 174}, {49,
53}, {216, 220}, {217, 221}, {232, 236}, {233, 237}, {2, 7}, {491, 494}, {465,
468}, {379, 382}, {329, 332}, {114, 119}, {105, 108}, {241, 244}, {273, 276},
{274, 279}, {136, 142}, {489, 495}, {1, 6}, {368, 375}, {360, 367}, {171, 172},
{121, 126}, {11, 12}, {119, 127}, {435, 443}, {113, 120}, {500, 509}, {162,
171}, {240, 249}, {208, 218}, {501, 511}, {470, 476}, {311, 317}, {226, 232},
{310, 316}, {3, 8}, {465, 474}, {241, 250}, {256, 268}, {469, 473}, {257, 269},
{4, 9}, {372, 377}, {327, 330}, {167, 170}, {37, 40}, {258, 271}, {151, 153},
{502, 504}, {501, 507}, {5, 10}, {82, 93}, {38, 41}, {36, 43}, {274, 285}, {197,
213}, {495, 511}, {353, 369}, {198, 214}, {2, 19}, {486, 503}, {429, 444}, {426,
443}, {165, 180}, {14, 31}, {13, 28}, {12, 29}, {10, 27}, {8, 25}, {6, 23}, {4,
21}, {167, 181}, {488, 506}, {3, 16}, {484, 503}, {102, 117}, {13, 30}, {9, 26},
{5, 22}, {238, 253}, {300, 319}, {137, 157}, {460, 472}, {459, 479}, {454, 466},
{299, 318}, {131, 149}, {365, 379}, {3, 20}, {483, 500}, {11, 28}, {235, 252},
{105, 113}, {487, 511}, {398, 406}, {396, 404}, {256, 280}, {298, 307}, {485,
508}, {394, 403}, {392, 401}, {226, 248}, {493, 503}, {491, 497}, {490, 496},
{452, 478}, {361, 371}, {36, 63}, {393, 402}, {46, 50}, {384, 412}, {136, 148},
{47, 51}, {109, 112}, {485, 504}, {454, 475}, {227, 254}, {239, 242}, {11, 21},
{480, 510}, {229, 251}, {230, 248}, {7, 24}, {483, 508}, {110, 113}, {15, 16},
{467, 498}, {8, 42}, {12, 47}, {18, 55}, {462, 491}, {396, 425}, {78, 107},
{214, 240}, {411, 445}, {67, 100}, {478, 505}, {473, 510}, {208, 247}, {15, 39},
{413, 437}, {397, 420}, {449, 488}, {64, 106}, {72, 99}, {467, 504}, {74, 97},
{474, 502}, {464, 509}, {350, 368}, {15, 32}, {287, 303}, {461, 509}, {386,
434}, {16, 33}, {392, 441}, {20, 37}, {18, 35}, {213, 228}, {1, 51}, {456, 506},
{13, 63}, {273, 291}, {17, 34}, {456, 507}, {455, 500}, {326, 373}, {325, 374},
{27, 40}, {9, 61}, {386, 438}, {10, 62}, {457, 508}, {322, 372}, {462, 505},
{469, 493}, {13, 52}, {457, 496}, {320, 378}, {7, 60}, {468, 495}, {459, 496},
{458, 497}, {14, 53}, {453, 505}, {464, 492}, {6, 59}, {455, 506}, {12, 50},
{471, 489}, {66, 124}, {29, 34}, {409, 422}, {129, 192}, {447, 510}, {434, 499},
{415, 478}, {408, 475}, {57, 125}, {412, 474}, {413, 475}, {138, 205}, {447,
504}, {416, 487}, {308, 371}, {31, 87}, {425, 481}, {407, 479}, {400, 473},
{446, 503}, {423, 494}, {404, 477}, {402, 475}, {45, 103}, {56, 115}, {401,
474}, {59, 112}, {307, 376}, {160, 236}, {398, 450}, {305, 381}, {14, 64}, {296,
358}, {257, 334}, {403, 476}, {259, 332}, {17, 65}, {439, 487}, {418, 498}, {59,
107}, {265, 345}, {9, 88}, {437, 484}, {31, 78}, {29, 76}, {27, 74}, {25, 72},
{23, 70}, {21, 68}, {19, 66}, {40, 122}, {423, 501}, {401, 451}, {58, 104}, {55,
101}, {54, 100}, {51, 97}, {50, 96}, {41, 123}, {22, 69}, {421, 502}, {389,
470}, {30, 77}, {26, 73}, {299, 376}, {1, 84}, {314, 367}, {52, 98}, {400, 454},
{384, 470}, {60, 106}, {53, 99}, {264, 350}, {4, 83}, {438, 481}, {399, 472},
{28, 75}, {20, 67}, {132, 220}, {435, 491}, {390, 478}, {135, 223}, {134, 222},
{133, 221}, {128, 217}, {130, 219}, {260, 349}, {301, 372}, {436, 494}, {48,
107}, {317, 358}, {129, 218}, {399, 467}, {444, 480}, {403, 463}, {49, 108},
{56, 102}, {57, 103}, {24, 71}, {300, 371}, {25, 121}, {137, 233}, {275, 370},
{385, 480}, {387, 480}, {11, 111}, {391, 483}, {155, 255}, {144, 244}, {41, 77},
{387, 486}, {143, 233}, {38, 65}, {420, 451}, {151, 240}, {282, 381}, {275,
379}, {424, 448}, {412, 500}, {137, 224}, {405, 508}, {312, 337}, {141, 228},
{139, 226}, {277, 380}, {143, 229}, {20, 127}, {138, 225}, {260, 367}, {407,
507}, {256, 365}, {259, 366}, {309, 344}, {48, 94}, {439, 473}, {438, 472}, {49,
95}, {32, 79}, {170, 197}, {140, 227}, {389, 501}, {410, 490}, {31, 110}, {432,
449}, {409, 488}, {43, 90}, {41, 88}, {39, 86}, {37, 84}, {35, 82}, {33, 80},
{46, 92}, {446, 460}, {172, 222}, {47, 93}, {306, 320}, {30, 109}, {433, 450},
{431, 476}, {169, 218}, {42, 89}, {38, 85}, {34, 81}, {175, 219}, {414, 490},
{146, 231}, {261, 368}, {263, 370}, {269, 376}, {271, 378}, {26, 108}, {426,
476}, {144, 230}, {45, 91}, {39, 81}, {309, 323}, {36, 83}, {434, 453}, {388,
499}, {262, 369}, {270, 377}, {301, 346}, {46, 86}, {317, 325}, {316, 324},
{315, 323}, {44, 85}, {440, 449}, {311, 334}, {182, 207}, {150, 239}, {411,
481}, {415, 485}, {414, 484}, {264, 371}, {441, 450}, {410, 481}, {406, 493},
{268, 375}, {308, 335}, {19, 111}, {143, 243}, {142, 242}, {146, 239}, {164,
217}, {147, 238}, {265, 372}, {267, 374}, {304, 333}, {158, 224}, {442, 452},
{419, 477}, {397, 499}, {159, 225}, {40, 87}, {136, 247}, {266, 373}, {122,
250}, {116, 245}, {370, 499}, {288, 417}, {35, 161}, {338, 464}, {331, 457},
{111, 237}, {93, 223}, {297, 427}, {305, 435}, {2, 129}, {23, 148}, {303, 427},
{22, 147}, {337, 468}, {4, 130}, {5, 131}, {280, 414}, {289, 423}, {293, 419},
{298, 428}, {297, 430}, {75, 195}, {275, 411}, {278, 412}, {369, 507}, {117,
254}, {33, 173}, {54, 186}, {283, 407}, {24, 149}, {277, 408}, {293, 424}, {295,
426}, {110, 224}, {348, 466}, {321, 463}, {319, 433}, {318, 432}, {294, 425},
{345, 470}, {344, 471}, {83, 194}, {118, 231}, {116, 229}, {279, 388}, {376,
492}, {283, 398}, {273, 391}, {313, 431}, {276, 386}, {284, 394}, {86, 193},
{379, 492}, {271, 408}, {25, 128}, {311, 430}, {306, 424}, {347, 449}, {346,
448}, {80, 203}, {377, 482}, {351, 452}, {310, 429}, {304, 428}, {383, 483},
{280, 389}, {284, 385}, {79, 209}, {380, 482}, {349, 451}, {348, 450}, {97,
254}, {281, 390}, {109, 205}, {367, 463}, {112, 208}, {111, 207}, {110, 206},
{286, 446}, {61, 156}, {369, 464}, {107, 202}, {105, 200}, {63, 158}, {98, 192},
{349, 511}, {314, 408}, {103, 197}, {102, 196}, {99, 193}, {45, 142}, {360,
459}, {106, 201}, {62, 157}, {296, 395}, {373, 465}, {375, 467}, {374, 466},
{94, 251}, {361, 460}, {354, 455}, {352, 453}, {118, 211}, {116, 209}, {114,
215}, {302, 395}, {100, 194}, {363, 461}, {101, 195}, {54, 145}, {353, 454},
{127, 216}, {117, 210}, {108, 203}, {60, 155}, {124, 212}, {56, 145}, {347,
498}, {323, 490}, {126, 215}, {292, 397}, {44, 134}, {366, 453}, {120, 212},
{123, 214}, {359, 458}, {357, 456}, {42, 132}, {378, 468}, {104, 198}, {43,
133}, {94, 241}, {358, 457}, {122, 213}, {76, 252}, {89, 232}, {352, 465}, {272,
417}, {277, 420}, {92, 238}, {125, 207}, {272, 418}, {90, 233}, {343, 484},
{312, 396}, {57, 140}, {32, 150}, {377, 463}, {44, 154}, {33, 151}, {276, 418},
{58, 141}, {290, 410}, {294, 415}, {34, 152}, {354, 472}, {35, 153}, {329, 498},
{55, 139}, {95, 227}, {126, 195}, {10, 202}, {18, 210}, {266, 458}, {261, 455},
{54, 245}, {3, 199}, {8, 204}, {300, 489}, {119, 177}, {49, 249}, {313, 497},
{92, 148}, {285, 469}, {322, 395}, {5, 201}, {350, 402}, {120, 180}, {38, 235},
{37, 234}, {364, 419}, {102, 183}, {91, 143}, {30, 203}, {62, 235}, {263, 466},
{374, 416}, {61, 234}, {17, 200}, {295, 509}, {343, 396}, {61, 225}, {314, 486},
{326, 411}, {96, 190}, {328, 406}, {97, 191}, {64, 159}, {357, 442}, {91, 187},
{301, 461}, {65, 160}, {336, 433}, {77, 172}, {75, 170}, {73, 168}, {71, 166},
{69, 164}, {67, 162}, {82, 176}, {95, 189}, {94, 188}, {91, 185}, {90, 184},
{87, 181}, {86, 180}, {83, 177}, {66, 161}, {362, 393}, {78, 173}, {74, 169},
{70, 165}, {32, 196}, {345, 445}, {76, 168}, {18, 247}, {84, 178}, {342, 432},
{324, 418}, {93, 187}, {92, 186}, {85, 179}, {68, 163}, {364, 395}, {88, 191},
{76, 171}, {57, 209}, {79, 166}, {325, 428}, {121, 147}, {262, 493}, {351, 436},
{340, 447}, {270, 485}, {73, 165}, {355, 399}, {119, 155}, {17, 255}, {361,
391}, {339, 445}, {338, 444}, {89, 183}, {88, 182}, {288, 462}, {72, 167}, {324,
427}, {60, 204}, {383, 398}, {326, 436}, {331, 441}, {330, 440}, {327, 437},
{105, 154}, {327, 436}, {321, 434}, {269, 510}, {291, 471}, {382, 394}, {356,
400}, {334, 443}, {381, 392}, {78, 184}, {332, 442}, {272, 486}, {344, 431},
{120, 128}, {342, 430}, {341, 429}, {126, 134}, {125, 133}, {124, 132}, {123,
131}, {122, 130}, {121, 129}, {278, 494}, {341, 428}, {66, 185}, {366, 405},
{59, 199}, {100, 152}, {267, 502}, {336, 429}, {80, 174}, {378, 388}, {340,
426}, {329, 439}, {328, 438}, {81, 175}, {19, 236}, {335, 432}, {6, 260}, {206,
461}, {135, 387}, {190, 442}, {15, 266}, {68, 321}, {70, 320}, {164, 419}, {187,
435}, {140, 389}, {89, 339}, {174, 420}, {45, 289}, {188, 433}, {161, 431}, {7,
264}, {168, 440}, {169, 441}, {243, 482}, {106, 382}, {189, 427}, {90, 333},
{123, 355}, {131, 410}, {16, 267}, {242, 492}, {160, 447}, {163, 444}, {85,
375}, {179, 401}, {62, 285}, {158, 445}, {141, 425}, {130, 423}, {24, 318},
{162, 393}, {47, 259}, {184, 404}, {65, 366}, {198, 497}, {63, 261}, {95, 357},
{192, 506}, {181, 394}, {29, 348}, {99, 290}, {104, 298}, {159, 477}, {228,
422}, {98, 289}, {77, 265}, {101, 289}, {205, 393}, {64, 262}, {144, 471}, {226,
421}, {69, 268}, {176, 505}, {27, 337}, {104, 291}, {51, 383}, {128, 460}, {75,
263}, {101, 296}, {103, 297}, {231, 424}, {239, 416}, {241, 417}, {56, 362},
{186, 489}, {48, 356}, {245, 416}, {58, 364}, {58, 365}, {193, 406}, {194, 405},
{246, 417}, {70, 286}, {71, 287}, {68, 285}, {81, 269}, {96, 319}, {215, 392},
{50, 338}, {109, 268}, {117, 279}, {133, 487}, {139, 488}, {255, 409}, {72,
303}, {115, 276}, {14, 359}, {73, 288}, {234, 384}, {114, 281}, {244, 415},
{116, 281}, {124, 273}, {216, 437}, {243, 414}, {118, 280}, {125, 274}, {238,
385}, {242, 413}, {244, 388}, {245, 387}, {217, 430}, {247, 384}, {221, 421},
{222, 422}, {237, 407}, {28, 352}, {71, 315}, {191, 451}, {112, 270}, {113,
271}, {174, 302}, {213, 341}, {214, 342}, {218, 346}, {219, 347}, {227, 355},
{228, 356}, {84, 469}, {216, 345}, {220, 349}, {222, 351}, {224, 353}, {231,
358}, {156, 286}, {183, 309}, {180, 310}, {204, 334}, {205, 335}, {208, 338},
{209, 339}, {196, 327}, {200, 331}, {212, 343}, {221, 350}, {225, 354}, {230,
357}, {192, 324}, {193, 325}, {194, 326}, {236, 360}, {237, 361}, {23, 402},
{201, 332}, {211, 342}, {22, 400}, {203, 333}, {210, 341}, {211, 340}, {26,
403}, {182, 319}, {187, 306}, {189, 308}, {176, 314}, {177, 315}, {246, 380},
{165, 302}, {181, 318}, {186, 305}, {246, 381}, {144, 284}, {163, 303}, {160,
301}, {197, 328}, {199, 330}, {178, 316}, {179, 317}, {79, 448}, {182, 313},
{161, 302}, {188, 307}, {198, 329}, {215, 344}, {145, 257}, {146, 258}, {253,
365}, {185, 299}, {164, 304}, {248, 364}, {142, 283}, {167, 306}, {150, 259},
{202, 351}, {134, 272}, {175, 313}, {138, 284}, {166, 305}, {204, 347}, {139,
275}, {87, 462}, {140, 277}, {21, 399}, {173, 311}, {172, 310}, {162, 312},
{141, 278}, {168, 307}, {135, 283}, {156, 256}, {135, 282}, {169, 308}, {246,
363}, {166, 312}, {171, 309}, {206, 336}, {207, 337}, {145, 270}, {175, 304},
{80, 496}, {201, 360}, {132, 295}, {199, 353}, {69, 495}, {200, 354}, {229,
335}, {136, 293}, {137, 294}, {55, 391}, {149, 292}, {250, 331}, {52, 390},
{150, 292}, {155, 296}, {159, 300}, {249, 330}, {127, 459}, {156, 297}, {158,
299}, {230, 336}, {157, 298}, {53, 397}, {220, 359}, {235, 343}, {152, 293},
{154, 295}, {153, 294}, {251, 315}, {219, 281}, {195, 260}, {149, 348}, {157,
340}, {211, 282}, {210, 286}, {212, 282}, {118, 422}, {178, 355}, {202, 287},
{223, 266}, {115, 421}, {188, 362}, {189, 363}, {179, 356}, {206, 274}, {248,
292}, {255, 288}, {253, 287}, {152, 382}, {151, 383}, {82, 440}, {232, 258},
{234, 257}, {154, 373}, {163, 339}, {74, 443}, {153, 362}, {190, 333}, {147,
359}, {148, 352}, {252, 264}, {253, 265}, {183, 322}, {254, 267}, {138, 380},
{173, 346}, {184, 320}, {185, 321}, {196, 316}, {146, 363}, {177, 328}, {190,
322}, {191, 323}, {249, 261}, {250, 262}, {251, 263}, {67, 446}, {223, 290},
{252, 258}, {390, 512}, {439, 512}, {479, 512}, {482, 512} }>;
(II) A more general form is to represent the graph as the orbit of {42, 43}
under the group generated by the following permutations:
a: (2, 84)(3, 11)(4, 42)(6, 51)(7, 469)(8, 21)(9, 132)(10, 201)(12, 199)(13,
15)(14, 38)(16, 28)(17, 110)(19, 37)(20, 111)(22, 131)(23, 383)(24, 473)(25,
399)(26, 295)(27, 360)(29, 353)(30, 266)(31, 65)(32, 52)(33, 352)(34, 224)(35,
247)(39, 63)(40, 236)(41, 359)(43, 83)(44, 49)(45, 56)(46, 249)(47, 59)(48,
150)(50, 330)(53, 85)(54, 143)(55, 210)(57, 114)(60, 285)(61, 124)(62, 106)(64,
235)(66, 234)(67, 237)(68, 204)(69, 410)(70, 483)(71, 439)(72, 467)(73, 509)(74,
367)(75, 267)(76, 369)(77, 458)(78, 366)(79, 390)(80, 465)(81, 158)(82, 208)(86,
261)(87, 160)(88, 220)(89, 130)(90, 194)(91, 145)(92, 240)(93, 112)(94, 239)(95,
134)(96, 327)(97, 260)(98, 196)(99, 375)(100, 233)(101, 117)(102, 289)(103,
115)(104, 365)(107, 259)(108, 154)(109, 223)(113, 200)(118, 144)(119, 125)(120,
354)(121, 355)(122, 232)(123, 147)(126, 227)(127, 207)(128, 472)(129, 178)(133,
177)(135, 205)(136, 153)(137, 152)(138, 282)(139, 341)(140, 215)(141, 364)(142,
362)(146, 241)(148, 151)(149, 400)(155, 274)(156, 273)(157, 382)(159, 343)(161,
384)(162, 407)(163, 347)(164, 481)(165, 500)(166, 512)(167, 504)(168, 464)(169,
314)(170, 502)(171, 507)(172, 456)(173, 453)(174, 474)(175, 445)(176, 218)(179,
397)(180, 455)(181, 447)(182, 216)(183, 423)(184, 405)(185, 257)(186, 243)(187,
270)(188, 242)(189, 272)(190, 436)(191, 349)(192, 316)(193, 368)(195, 254)(197,
421)(198, 253)(202, 332)(203, 373)(206, 255)(209, 281)(211, 284)(212, 225)(213,
226)(214, 238)(217, 438)(219, 339)(221, 328)(222, 357)(228, 248)(229, 245)(230,
422)(231, 244)(250, 258)(251, 416)(252, 262)(256, 291)(263, 374)(264, 493)(265,
497)(268, 290)(269, 299)(271, 331)(275, 428)(276, 297)(277, 392)(278, 395)(279,
296)(280, 471)(283, 393)(286, 391)(287, 329)(288, 461)(292, 356)(293, 294)(298,
379)(300, 484)(301, 462)(302, 412)(303, 498)(304, 411)(305, 482)(306, 485)(307,
492)(308, 486)(309, 501)(310, 506)(311, 434)(312, 479)(313, 345)(315, 487)(317,
499)(318, 510)(319, 437)(320, 508)(321, 334)(322, 494)(323, 511)(325, 370)(326,
333)(335, 387)(336, 409)(337, 459)(338, 440)(340, 394)(342, 385)(344, 389)(346,
505)(348, 454)(350, 406)(351, 442)(358, 388)(361, 446)(363, 417)(371, 503)(372,
491)(377, 435)(378, 457)(380, 381)(386, 430)(396, 477)(398, 402)(401, 420)(403,
426)(408, 441)(413, 433)(414, 489)(415, 424)(418, 427)(419, 425)(429, 488)(431,
470)(432, 480)(443, 463)(444, 449)(448, 478)(450, 475)(468, 496)(490, 495) (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: (1, 2)(3, 8)(4, 34)(5, 10)(6, 129)(7, 84)(9, 17)(11, 12)(13, 46)(14, 31)(15,
43)(16, 42)(18, 55)(19, 51)(20, 204)(21, 29)(22, 202)(23, 192)(24, 469)(25,
199)(26, 200)(27, 201)(28, 50)(30, 44)(32, 133)(33, 132)(35, 391)(36, 39)(37,
60)(38, 41)(40, 106)(45, 142)(47, 111)(48, 238)(49, 113)(52, 92)(53, 110)(54,
281)(56, 115)(57, 239)(58, 141)(59, 121)(61, 255)(62, 131)(63, 86)(64, 87)(65,
88)(66, 383)(67, 347)(68, 348)(69, 351)(70, 506)(71, 473)(72, 353)(73, 354)(74,
360)(75, 338)(76, 399)(77, 85)(78, 359)(79, 487)(80, 295)(81, 83)(82, 361)(89,
267)(90, 266)(91, 283)(93, 237)(94, 385)(95, 271)(96, 352)(97, 236)(98, 148)(99,
224)(100, 219)(101, 247)(102, 421)(103, 242)(104, 425)(105, 108)(107, 147)(109,
134)(112, 126)(114, 145)(116, 245)(117, 226)(118, 280)(119, 257)(120, 249)(122,
382)(123, 235)(124, 151)(125, 150)(127, 334)(128, 330)(130, 152)(135, 143)(136,
289)(137, 290)(138, 417)(139, 210)(140, 146)(144, 244)(149, 285)(153, 273)(154,
203)(155, 234)(156, 409)(157, 410)(158, 193)(159, 462)(160, 191)(161, 483)(162,
498)(163, 466)(164, 436)(165, 455)(166, 439)(167, 369)(168, 472)(169, 367)(170,
464)(171, 467)(172, 375)(173, 220)(174, 509)(175, 194)(176, 371)(177, 269)(178,
264)(179, 265)(180, 261)(181, 262)(182, 366)(183, 502)(184, 458)(185, 398)(186,
390)(187, 407)(188, 386)(189, 408)(190, 465)(195, 208)(196, 221)(197, 492)(198,
396)(205, 272)(206, 397)(207, 259)(209, 416)(211, 414)(212, 240)(213, 379)(214,
343)(215, 270)(216, 311)(217, 327)(218, 260)(222, 268)(223, 233)(225, 288)(227,
258)(228, 365)(229, 387)(230, 388)(231, 389)(232, 254)(241, 284)(243, 282)(246,
380)(248, 279)(250, 394)(251, 480)(252, 355)(253, 356)(256, 422)(263, 444)(274,
292)(275, 341)(276, 362)(277, 363)(278, 364)(286, 488)(287, 400)(291, 294)(293,
423)(296, 384)(297, 413)(298, 481)(299, 406)(300, 505)(301, 451)(302, 500)(303,
454)(304, 326)(305, 512)(306, 507)(307, 438)(308, 314)(309, 504)(310, 368)(312,
329)(313, 405)(315, 510)(316, 350)(317, 345)(318, 493)(319, 453)(320, 456)(321,
450)(322, 474)(323, 447)(324, 402)(325, 445)(328, 376)(331, 403)(332, 337)(333,
373)(335, 486)(336, 499)(339, 374)(340, 490)(342, 484)(344, 485)(346, 349)(357,
378)(358, 470)(370, 429)(372, 401)(377, 392)(381, 482)(393, 418)(395, 412)(404,
497)(411, 428)(415, 471)(419, 494)(420, 461)(424, 501)(426, 496)(427, 475)(430,
437)(431, 508)(432, 503)(433, 434)(435, 479)(440, 460)(441, 463)(442, 468)(443,
459)(446, 449)(448, 511)(452, 495)(457, 476)(477, 491)(478, 489)
c: (2, 6)(3, 11)(4, 15)(5, 18)(7, 23)(8, 28)(9, 32)(10, 35)(12, 20)(13, 42)(14,
45)(16, 21)(17, 54)(19, 59)(22, 55)(24, 70)(25, 75)(26, 79)(27, 82)(29, 67)(30,
89)(31, 91)(33, 68)(34, 100)(37, 47)(38, 56)(39, 83)(40, 93)(41, 102)(43,
63)(44, 114)(46, 119)(48, 124)(49, 57)(50, 127)(51, 84)(52, 132)(53, 103)(60,
148)(61, 150)(62, 153)(64, 142)(65, 145)(66, 107)(69, 139)(71, 165)(72, 170)(73,
166)(74, 176)(76, 162)(77, 183)(78, 185)(80, 163)(81, 194)(85, 115)(86, 177)(87,
187)(88, 196)(90, 158)(92, 155)(94, 212)(95, 140)(96, 216)(97, 178)(98, 220)(99,
197)(101, 147)(104, 141)(105, 116)(106, 136)(108, 209)(109, 232)(110, 143)(111,
199)(112, 236)(113, 229)(117, 123)(118, 144)(120, 251)(121, 195)(122, 223)(125,
249)(128, 263)(129, 260)(130, 266)(131, 210)(133, 261)(134, 215)(135, 250)(138,
146)(149, 286)(151, 285)(154, 281)(156, 292)(157, 294)(159, 242)(160, 270)(161,
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