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