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On this page are computer-accessible forms for the graph C4[ 512, 253 ] =
UG(ATD[512,576]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {508, 509}, {184, 186}, {488, 490}, {224, 226}, {308, 311}, {356,
359}, {1, 5}, {449, 453}, {440, 444}, {354, 358}, {120, 124}, {114, 118}, {19,
23}, {240, 244}, {305, 309}, {130, 135}, {155, 158}, {258, 263}, {282, 287},
{91, 93}, {505, 511}, {131, 133}, {120, 126}, {259, 261}, {283, 285}, {18, 21},
{321, 326}, {177, 182}, {1, 9}, {483, 491}, {471, 479}, {451, 459}, {423, 431},
{164, 172}, {118, 127}, {485, 492}, {438, 447}, {371, 378}, {336, 345}, {322,
331}, {181, 188}, {295, 302}, {54, 60}, {439, 445}, {323, 329}, {3, 8}, {481,
490}, {470, 477}, {451, 456}, {450, 457}, {422, 429}, {164, 175}, {162, 169},
{115, 120}, {1, 13}, {387, 399}, {324, 328}, {180, 184}, {161, 173}, {231, 235},
{55, 58}, {375, 378}, {240, 254}, {448, 462}, {416, 430}, {373, 379}, {370,
380}, {4, 11}, {437, 442}, {385, 398}, {117, 122}, {230, 233}, {299, 315}, {98,
115}, {167, 182}, {163, 178}, {238, 255}, {70, 84}, {390, 404}, {334, 348}, {3,
16}, {7, 20}, {224, 243}, {298, 313}, {5, 17}, {42, 62}, {71, 82}, {480, 501},
{78, 88}, {162, 180}, {100, 114}, {294, 304}, {2, 21}, {1, 25}, {399, 407}, {43,
51}, {260, 284}, {79, 86}, {392, 401}, {41, 50}, {397, 406}, {258, 281}, {4,
24}, {463, 467}, {399, 403}, {103, 123}, {2, 31}, {421, 440}, {235, 246}, {3,
29}, {424, 438}, {166, 184}, {32, 62}, {233, 247}, {4, 27}, {462, 465}, {398,
401}, {101, 122}, {237, 242}, {5, 37}, {211, 243}, {261, 293}, {30, 63}, {347,
378}, {79, 110}, {24, 58}, {345, 379}, {77, 111}, {286, 316}, {209, 242}, {9,
45}, {17, 53}, {287, 314}, {150, 176}, {478, 504}, {405, 435}, {216, 254}, {26,
61}, {4, 44}, {388, 428}, {22, 62}, {9, 33}, {214, 255}, {408, 433}, {2, 41},
{461, 486}, {385, 426}, {19, 56}, {222, 242}, {22, 59}, {71, 106}, {203, 230},
{69, 107}, {201, 231}, {7, 40}, {448, 495}, {12, 35}, {263, 296}, {15, 63},
{449, 497}, {389, 437}, {384, 432}, {23, 39}, {8, 57}, {414, 431}, {31, 46},
{268, 317}, {29, 47}, {14, 61}, {21, 38}, {265, 319}, {10, 61}, {452, 499}, {7,
63}, {476, 484}, {464, 488}, {89, 96}, {466, 491}, {151, 174}, {147, 170}, {221,
228}, {6, 60}, {467, 489}, {452, 510}, {154, 160}, {30, 36}, {6, 61}, {474,
481}, {15, 52}, {11, 48}, {13, 49}, {455, 507}, {31, 34}, {450, 511}, {146,
172}, {392, 439}, {453, 506}, {9, 73}, {135, 198}, {285, 348}, {307, 370}, {51,
113}, {141, 207}, {133, 199}, {305, 371}, {407, 468}, {5, 65}, {412, 472}, {405,
465}, {179, 247}, {2, 71}, {167, 226}, {147, 214}, {49, 116}, {10, 79}, {3, 69},
{165, 227}, {145, 215}, {32, 102}, {11, 77}, {12, 75}, {178, 245}, {25, 81},
{423, 495}, {171, 227}, {148, 220}, {400, 473}, {441, 496}, {411, 466}, {49,
123}, {409, 467}, {8, 67}, {422, 493}, {170, 225}, {145, 218}, {12, 64}, {49,
125}, {33, 109}, {17, 93}, {52, 121}, {151, 218}, {272, 349}, {149, 219}, {28,
83}, {409, 470}, {145, 222}, {446, 494}, {420, 501}, {30, 76}, {424, 506}, {419,
497}, {413, 463}, {269, 351}, {15, 92}, {429, 510}, {47, 124}, {39, 116}, {35,
112}, {29, 78}, {13, 89}, {45, 121}, {37, 113}, {31, 74}, {417, 500}, {296,
382}, {443, 493}, {417, 503}, {397, 475}, {21, 66}, {23, 64}, {434, 490}, {421,
508}, {44, 118}, {157, 199}, {137, 211}, {24, 68}, {28, 64}, {42, 119}, {395,
470}, {172, 241}, {144, 205}, {140, 209}, {170, 244}, {393, 471}, {256, 350},
{436, 491}, {386, 483}, {6, 100}, {410, 504}, {398, 492}, {60, 94}, {274, 368},
{12, 104}, {415, 507}, {144, 244}, {16, 117}, {160, 197}, {58, 95}, {388, 482},
{430, 456}, {413, 506}, {8, 97}, {436, 477}, {431, 454}, {391, 494}, {43, 64},
{297, 324}, {445, 464}, {420, 457}, {416, 461}, {411, 502}, {300, 322}, {433,
479}, {418, 460}, {10, 101}, {25, 105}, {406, 486}, {43, 91}, {32, 80}, {185,
200}, {427, 474}, {405, 484}, {402, 483}, {189, 204}, {283, 362}, {311, 326},
{281, 363}, {425, 475}, {410, 488}, {19, 96}, {444, 463}, {41, 90}, {36, 87},
{312, 331}, {33, 85}, {441, 461}, {419, 471}, {396, 504}, {148, 224}, {275,
359}, {280, 364}, {22, 99}, {312, 333}, {279, 354}, {14, 120}, {404, 482}, {390,
496}, {191, 201}, {136, 254}, {62, 72}, {277, 355}, {27, 108}, {418, 469}, {273,
358}, {30, 103}, {412, 485}, {400, 489}, {63, 70}, {24, 98}, {408, 482}, {129,
251}, {288, 346}, {309, 335}, {309, 329}, {132, 249}, {163, 222}, {275, 366},
{161, 223}, {187, 197}, {310, 328}, {141, 242}, {408, 487}, {394, 501}, {277,
362}, {25, 153}, {298, 426}, {301, 429}, {260, 389}, {297, 424}, {306, 435},
{22, 148}, {348, 478}, {80, 210}, {264, 394}, {356, 487}, {13, 137}, {353, 485},
{121, 253}, {113, 245}, {23, 146}, {382, 507}, {346, 479}, {34, 167}, {35, 165},
{383, 505}, {326, 448}, {104, 238}, {72, 206}, {257, 391}, {308, 434}, {28,
155}, {335, 456}, {288, 423}, {299, 428}, {97, 233}, {352, 488}, {334, 454},
{282, 402}, {70, 207}, {102, 239}, {121, 243}, {380, 502}, {314, 432}, {276,
414}, {300, 422}, {29, 150}, {316, 439}, {119, 252}, {115, 248}, {81, 221},
{351, 467}, {313, 437}, {117, 249}, {257, 397}, {124, 241}, {378, 503}, {262,
395}, {274, 415}, {99, 236}, {350, 465}, {283, 404}, {73, 217}, {90, 202}, {342,
455}, {369, 480}, {360, 505}, {20, 134}, {44, 190}, {259, 400}, {363, 504}, {65,
213}, {6, 147}, {315, 430}, {42, 191}, {18, 135}, {262, 403}, {7, 145}, {115,
229}, {75, 220}, {92, 203}, {321, 473}, {372, 492}, {363, 499}, {351, 455},
{340, 460}, {66, 219}, {320, 473}, {118, 239}, {117, 236}, {113, 232}, {67,
217}, {358, 508}, {342, 460}, {119, 237}, {264, 402}, {16, 139}, {370, 489},
{361, 498}, {349, 454}, {337, 458}, {111, 244}, {67, 216}, {39, 188}, {20, 143},
{17, 141}, {362, 502}, {109, 241}, {37, 185}, {10, 151}, {352, 509}, {343, 458},
{78, 211}, {66, 223}, {11, 149}, {344, 454}, {119, 233}, {67, 221}, {95, 192},
{323, 476}, {304, 431}, {44, 140}, {362, 458}, {338, 498}, {100, 196}, {341,
500}, {376, 473}, {41, 138}, {379, 472}, {97, 194}, {303, 396}, {103, 195},
{318, 410}, {301, 393}, {293, 384}, {376, 478}, {101, 194}, {364, 459}, {339,
500}, {341, 509}, {57, 144}, {374, 479}, {344, 498}, {374, 476}, {372, 478},
{357, 462}, {377, 469}, {16, 189}, {290, 399}, {291, 397}, {336, 510}, {354,
466}, {361, 472}, {60, 142}, {278, 420}, {51, 128}, {87, 228}, {83, 224}, {59,
136}, {55, 132}, {53, 129}, {85, 225}, {306, 390}, {279, 418}, {95, 232}, {355,
468}, {271, 440}, {32, 152}, {360, 464}, {93, 229}, {269, 437}, {284, 420},
{285, 421}, {26, 163}, {27, 161}, {364, 470}, {36, 159}, {349, 486}, {282, 417},
{307, 392}, {33, 157}, {319, 387}, {57, 133}, {318, 385}, {292, 484}, {313,
505}, {322, 387}, {40, 234}, {51, 240}, {289, 482}, {324, 386}, {316, 507}, {55,
255}, {357, 429}, {50, 251}, {379, 434}, {314, 496}, {377, 435}, {54, 253}, {28,
208}, {38, 235}, {14, 192}, {52, 250}, {79, 158}, {290, 499}, {294, 503}, {302,
508}, {381, 430}, {303, 506}, {315, 494}, {280, 462}, {292, 498}, {26, 205},
{359, 432}, {50, 234}, {355, 443}, {265, 465}, {18, 203}, {98, 187}, {278, 463},
{70, 156}, {356, 446}, {320, 411}, {353, 442}, {50, 238}, {48, 237}, {354, 447},
{71, 154}, {266, 471}, {20, 202}, {100, 186}, {46, 240}, {267, 469}, {296, 502},
{52, 235}, {267, 468}, {81, 177}, {332, 428}, {94, 190}, {85, 181}, {82, 176},
{76, 175}, {330, 425}, {73, 173}, {107, 142}, {371, 406}, {111, 138}, {260,
481}, {37, 195}, {369, 407}, {317, 475}, {109, 139}, {105, 143}, {258, 484},
{69, 162}, {84, 179}, {65, 169}, {339, 443}, {40, 193}, {291, 458}, {289, 459},
{340, 446}, {47, 196}, {337, 442}, {77, 166}, {268, 487}, {45, 193}, {72, 164},
{266, 486}, {327, 426}, {338, 447}, {78, 160}, {325, 427}, {256, 494}, {68,
171}, {88, 183}, {36, 212}, {57, 201}, {53, 197}, {293, 469}, {34, 209}, {328,
443}, {331, 447}, {383, 395}, {375, 387}, {329, 444}, {332, 442}, {59, 204},
{381, 394}, {373, 386}, {330, 445}, {80, 168}, {82, 171}, {327, 446}, {268,
503}, {127, 131}, {325, 441}, {265, 501}, {83, 174}, {355, 414}, {272, 493},
{84, 170}, {353, 415}, {270, 496}, {55, 200}, {125, 130}, {295, 472}, {19, 275},
{180, 436}, {26, 283}, {116, 373}, {27, 281}, {112, 370}, {18, 273}, {178, 433},
{195, 448}, {215, 468}, {214, 466}, {174, 427}, {175, 425}, {230, 480}, {132,
396}, {173, 421}, {92, 341}, {114, 376}, {153, 403}, {193, 459}, {123, 368},
{130, 393}, {144, 413}, {156, 401}, {196, 457}, {206, 451}, {89, 343}, {89,
329}, {132, 404}, {213, 453}, {217, 457}, {254, 495}, {90, 328}, {208, 450},
{130, 401}, {122, 366}, {152, 396}, {126, 360}, {91, 332}, {176, 423}, {219,
460}, {248, 495}, {88, 320}, {96, 376}, {245, 493}, {14, 279}, {127, 358}, {109,
372}, {92, 325}, {15, 277}, {198, 477}, {96, 381}, {112, 365}, {110, 368}, {66,
349}, {149, 394}, {128, 415}, {215, 456}, {206, 492}, {45, 265}, {68, 352},
{165, 384}, {207, 490}, {216, 510}, {87, 383}, {137, 417}, {200, 480}, {220,
500}, {59, 274}, {128, 425}, {214, 511}, {86, 381}, {94, 373}, {218, 497}, {97,
333}, {58, 276}, {142, 416}, {140, 419}, {213, 485}, {54, 263}, {180, 389}, {98,
339}, {194, 499}, {42, 280}, {99, 337}, {195, 497}, {232, 474}, {99, 336}, {107,
344}, {102, 339}, {232, 477}, {158, 424}, {177, 391}, {56, 271}, {53, 269},
{154, 419}, {159, 422}, {218, 483}, {104, 338}, {219, 481}, {48, 267}, {105,
341}, {127, 323}, {34, 287}, {43, 278}, {225, 476}, {230, 475}, {35, 285}, {156,
418}, {56, 262}, {228, 474}, {125, 322}, {216, 487}, {247, 438}, {187, 511},
{138, 461}, {186, 509}, {208, 408}, {255, 439}, {253, 438}, {220, 400}, {246,
440}, {250, 426}, {77, 286}, {72, 284}, {217, 398}, {252, 427}, {250, 416},
{205, 406}, {140, 464}, {69, 282}, {65, 289}, {226, 386}, {48, 337}, {86, 311},
{82, 307}, {75, 298}, {210, 435}, {56, 346}, {87, 309}, {83, 305}, {211, 433},
{231, 388}, {104, 268}, {229, 385}, {236, 392}, {246, 402}, {251, 414}, {40,
334}, {74, 300}, {68, 291}, {227, 388}, {112, 280}, {38, 335}, {74, 291}, {76,
295}, {86, 317}, {248, 403}, {73, 293}, {124, 272}, {54, 347}, {93, 304}, {76,
290}, {101, 266}, {234, 389}, {80, 288}, {95, 301}, {39, 340}, {38, 338}, {126,
264}, {88, 303}, {122, 269}, {81, 297}, {85, 301}, {228, 412}, {106, 275}, {188,
453}, {46, 340}, {110, 277}, {123, 256}, {226, 409}, {193, 445}, {190, 451},
{196, 441}, {108, 274}, {185, 455}, {191, 449}, {194, 444}, {84, 299}, {129,
257}, {136, 264}, {106, 491}, {238, 367}, {107, 489}, {239, 365}, {134, 261},
{159, 284}, {157, 281}, {128, 261}, {183, 306}, {179, 310}, {133, 256}, {181,
307}, {131, 260}, {153, 286}, {199, 335}, {135, 270}, {167, 302}, {163, 298},
{178, 312}, {192, 330}, {198, 333}, {187, 311}, {162, 300}, {185, 310}, {164,
308}, {168, 312}, {174, 316}, {161, 306}, {172, 319}, {165, 310}, {169, 317},
{175, 314}, {134, 272}, {168, 318}, {166, 304}, {90, 450}, {192, 344}, {207,
343}, {154, 259}, {166, 319}, {229, 380}, {155, 257}, {160, 315}, {205, 342},
{236, 375}, {252, 359}, {234, 374}, {249, 357}, {253, 352}, {222, 320}, {231,
377}, {91, 452}, {209, 371}, {157, 313}, {131, 294}, {212, 369}, {129, 295},
{108, 449}, {106, 452}, {147, 290}, {151, 294}, {223, 366}, {221, 367}, {152,
299}, {204, 383}, {202, 382}, {46, 411}, {47, 409}, {146, 292}, {150, 289},
{204, 374}, {212, 366}, {251, 321}, {199, 380}, {149, 297}, {156, 288}, {152,
292}, {197, 377}, {202, 375}, {210, 367}, {249, 324}, {150, 296}, {177, 369},
{74, 395}, {208, 273}, {75, 393}, {246, 308}, {212, 279}, {159, 347}, {169,
365}, {210, 278}, {158, 345}, {179, 372}, {248, 305}, {148, 350}, {146, 351},
{126, 428}, {136, 348}, {168, 382}, {200, 287}, {198, 286}, {215, 270}, {110,
436}, {206, 276}, {213, 271}, {171, 368}, {111, 434}, {94, 384}, {134, 345},
{125, 413}, {186, 346}, {241, 273}, {138, 363}, {142, 367}, {223, 318}, {239,
270}, {139, 361}, {143, 365}, {237, 271}, {203, 303}, {143, 360}, {188, 347},
{183, 336}, {201, 302}, {243, 276}, {137, 353}, {141, 357}, {227, 266}, {225,
267}, {189, 342}, {173, 321}, {139, 356}, {153, 361}, {181, 325}, {116, 390},
{176, 323}, {247, 259}, {114, 391}, {190, 331}, {155, 364}, {245, 258}, {182,
334}, {191, 327}, {102, 412}, {182, 332}, {108, 407}, {189, 326}, {252, 263},
{105, 405}, {250, 262}, {103, 410}, {183, 330}, {184, 327}, {333, 512}, {343,
512}, {350, 512}, {432, 512} }>;
(II) A more general form is to represent the graph as the orbit of {508, 509}
under the group generated by the following permutations:
a: (2, 466, 61, 486)(3, 488, 487, 63)(4, 64, 468, 467)(5, 25)(6, 266, 21,
411)(7, 69, 464, 268)(8, 410, 356, 70)(9, 13)(10, 349, 31, 214)(11, 43, 407,
351)(12, 215, 489, 44)(14, 406, 41, 491)(15, 29, 352, 408)(16, 490, 216, 30)(17,
81, 37, 153)(18, 502, 100, 227)(19, 469, 413, 281)(20, 162, 360, 317)(22,
72)(23, 267, 463, 27)(24, 28, 355, 409)(26, 461, 71, 354)(32, 42)(33, 89, 73,
49)(34, 255, 151, 454)(35, 270, 370, 118)(36, 189, 434, 510)(38, 320, 60,
471)(39, 225, 444, 161)(40, 282, 445, 503)(45, 137)(46, 147, 101, 66)(47, 68,
208, 277)(48, 278, 108, 146)(50, 483, 192, 371)(51, 399, 269, 149)(52, 78, 253,
433)(53, 297, 113, 403)(54, 479, 235, 88)(55, 174, 431, 167)(56, 377, 506,
258)(57, 504, 359, 156)(58, 83, 414, 226)(59, 164, 99, 284)(65, 105)(67, 103,
139, 207)(74, 511, 79, 272)(75, 456, 400, 190)(76, 117, 481, 254)(77, 91, 369,
455)(80, 191, 152, 119)(82, 358, 283, 441)(84, 97, 318, 446)(85, 329, 173,
116)(86, 134, 300, 505)(87, 326, 379, 429)(90, 436, 120, 397)(92, 150, 509,
482)(93, 177, 185, 286)(94, 393, 335, 473)(95, 305, 251, 386)(96, 293, 125,
157)(98, 155, 443, 470)(102, 280)(104, 145, 107, 140)(106, 279, 205, 138)(109,
343, 217, 123)(110, 124, 291, 450)(111, 452, 212, 342)(112, 239)(114, 165, 135,
380)(115, 257, 328, 477)(121, 211)(122, 219, 240, 290)(126, 475, 202, 180)(127,
285, 496, 307)(128, 387, 437, 394)(129, 324, 232, 248)(130, 199, 376, 384)(131,
348, 314, 392)(132, 427, 423, 302)(133, 478, 432, 401)(136, 175, 236, 260)(141,
221, 195, 361)(142, 419, 338, 222)(143, 169)(144, 363, 275, 418)(148, 206)(154,
447, 163, 416)(158, 493, 395, 187)(159, 204, 308, 336)(160, 438, 178, 250)(166,
332, 480, 507)(168, 327, 299, 233)(170, 194, 223, 340)(171, 273, 362, 196)(172,
337, 420, 274)(176, 508, 404, 325)(179, 333, 385, 494)(181, 323, 421, 390)(182,
200, 316, 304)(183, 347, 374, 246)(184, 428, 230, 382)(186, 388, 203, 296)(188,
476, 440, 306)(193, 417)(197, 424, 245, 262)(198, 229, 391, 310)(201, 396, 252,
288)(209, 238, 218, 344)(210, 449, 292, 237)(213, 405)(220, 451)(224, 276)(228,
448, 472, 357)(231, 303, 263, 346)(234, 402, 330, 378)(241, 458, 457, 368)(242,
367, 497, 498)(244, 499, 366, 460)(247, 312, 426, 315)(249, 474, 495, 295)(256,
372, 512, 398)(259, 331, 298, 430)(261, 322, 313, 381)(264, 425, 375, 389)(265,
353)(271, 435, 453, 484)(287, 439, 294, 334)(289, 341)(301, 309, 321, 373)(311,
345, 422, 383)(319, 442, 501, 415)(339, 364)(350, 492)(412, 462)(459, 500)(465,
485) (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, 4)(5, 21)(6, 22)(7, 23)(8, 24)(9, 31)(10, 32)(11, 29)(12, 30)(13,
41)(14, 42)(15, 43)(16, 44)(17, 18)(19, 20)(25, 71)(26, 72)(27, 69)(28, 70)(33,
34)(35, 36)(37, 38)(39, 40)(45, 46)(47, 48)(49, 50)(51, 52)(53, 135)(54,
136)(55, 133)(56, 134)(57, 58)(59, 60)(61, 62)(63, 64)(65, 66)(67, 68)(73,
74)(75, 76)(77, 78)(79, 80)(81, 82)(83, 84)(85, 167)(86, 168)(87, 165)(88,
166)(89, 90)(91, 92)(93, 203)(94, 204)(95, 201)(96, 202)(97, 98)(99, 100)(101,
102)(103, 104)(105, 106)(107, 108)(109, 209)(110, 210)(111, 211)(112, 212)(113,
235)(114, 236)(115, 233)(116, 234)(117, 118)(119, 120)(121, 240)(122, 239)(123,
238)(124, 237)(125, 251)(126, 252)(127, 249)(128, 250)(129, 130)(131, 132)(137,
138)(139, 140)(141, 273)(142, 274)(143, 275)(144, 276)(145, 146)(147, 148)(149,
150)(151, 152)(153, 154)(155, 156)(157, 287)(158, 288)(159, 285)(160, 286)(161,
162)(163, 164)(169, 223)(170, 224)(171, 221)(172, 222)(173, 300)(174, 299)(175,
298)(176, 297)(177, 307)(178, 308)(179, 305)(180, 306)(181, 182)(183, 184)(185,
335)(186, 336)(187, 333)(188, 334)(189, 190)(191, 192)(193, 340)(194, 339)(195,
338)(196, 337)(197, 198)(199, 200)(205, 206)(207, 208)(213, 349)(214, 350)(215,
351)(216, 352)(217, 291)(218, 292)(219, 289)(220, 290)(225, 226)(227, 228)(229,
230)(231, 232)(241, 242)(243, 244)(245, 246)(247, 248)(253, 254)(255, 256)(257,
401)(258, 402)(259, 403)(260, 404)(261, 262)(263, 264)(265, 411)(266, 412)(267,
409)(268, 410)(269, 270)(271, 272)(277, 278)(279, 280)(281, 282)(283, 284)(293,
395)(294, 396)(295, 393)(296, 394)(301, 302)(303, 304)(309, 310)(311, 312)(313,
314)(315, 316)(317, 318)(319, 320)(321, 322)(323, 324)(325, 332)(326, 331)(327,
330)(328, 329)(341, 452)(342, 451)(343, 450)(344, 449)(345, 346)(347, 348)(353,
461)(354, 462)(355, 463)(356, 464)(357, 358)(359, 360)(361, 419)(362, 420)(363,
417)(364, 418)(365, 366)(367, 368)(369, 370)(371, 372)(373, 374)(375, 376)(377,
477)(378, 478)(379, 479)(380, 480)(381, 382)(383, 384)(385, 475)(386, 476)(387,
473)(388, 474)(389, 390)(391, 392)(397, 398)(399, 400)(405, 491)(406, 492)(407,
489)(408, 490)(413, 414)(415, 416)(421, 422)(423, 424)(425, 426)(427, 428)(429,
508)(430, 507)(431, 506)(432, 505)(433, 434)(435, 436)(437, 496)(438, 495)(439,
494)(440, 493)(441, 442)(443, 444)(445, 446)(447, 448)(453, 454)(455, 456)(457,
458)(459, 460)(465, 466)(467, 468)(469, 470)(471, 472)(481, 482)(483, 484)(485,
486)(487, 488)(497, 498)(499, 500)(501, 502)(503, 504)(509, 510)(511, 512)
c: (2, 466, 61, 486)(3, 488, 487, 63)(4, 64, 468, 467)(5, 25, 13, 9)(6, 266, 41,
491)(7, 69, 352, 408)(8, 410, 216, 30)(10, 461, 71, 214)(11, 23, 267, 351)(12,
355, 409, 44)(14, 406, 21, 411)(15, 29, 464, 268)(16, 490, 356, 70)(17, 153, 89,
33)(18, 320, 192, 397)(19, 225, 269, 77)(20, 282, 253, 482)(22, 72, 42, 32)(24,
28, 215, 489)(26, 349, 31, 354)(27, 43, 407, 463)(34, 447, 283, 272)(35, 443,
226, 190)(36, 57, 318, 254)(37, 81, 49, 73)(38, 502, 120, 371)(39, 469, 455,
149)(40, 162, 509, 433)(45, 65, 105, 137)(46, 279, 205, 66)(47, 140, 104,
277)(48, 146)(50, 436, 100, 471)(51, 369, 413, 161)(52, 150, 360, 503)(53, 286,
96, 85)(54, 388, 202, 402)(55, 158, 496, 259)(56, 476, 437, 166)(58, 155, 270,
400)(59, 284, 191, 80)(60, 227, 90, 483)(67, 103)(68, 208, 145, 107)(74, 358,
163, 454)(75, 414, 470, 118)(76, 97, 504, 510)(78, 445, 317, 92)(79, 441, 154,
255)(82, 511, 151, 416)(83, 456, 370, 98)(84, 117, 434, 359)(86, 325, 160,
439)(87, 133, 385, 495)(88, 330, 475, 203)(91, 399, 444, 281)(93, 403, 329,
157)(94, 165, 328, 386)(95, 257, 135, 473)(99, 164, 119, 152)(101, 138, 106,
147)(102, 148, 206, 280)(108, 278)(109, 141, 361, 343)(110, 196, 419, 238)(111,
275, 170, 122)(112, 339, 224, 451)(113, 177, 125, 173)(114, 393, 251, 477)(115,
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198, 376, 301)(130, 321, 232, 391)(131, 426, 423, 383)(132, 345, 314, 247)(134,
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324, 373, 384)(311, 427, 315, 392)(326, 474, 494, 401)(350, 492, 462, 412)(357,
472, 512, 372)(367, 368, 457, 497)(415, 501, 453, 435)(465, 485)
d: (1, 3)(2, 4)(5, 8)(6, 7)(9, 29)(10, 30)(11, 31)(12, 32)(13, 16)(14, 15)(17,
57)(18, 58)(19, 59)(20, 60)(21, 24)(22, 23)(25, 69)(26, 70)(27, 71)(28, 72)(33,
78)(34, 77)(35, 80)(36, 79)(37, 97)(38, 98)(39, 99)(40, 100)(41, 44)(42, 43)(45,
47)(46, 48)(49, 117)(50, 118)(51, 119)(52, 120)(53, 133)(54, 134)(55, 135)(56,
136)(61, 63)(62, 64)(65, 67)(66, 68)(73, 150)(74, 149)(75, 152)(76, 151)(81,
162)(82, 161)(83, 164)(84, 163)(85, 88)(86, 87)(89, 189)(90, 190)(91, 191)(92,
192)(93, 201)(94, 202)(95, 203)(96, 204)(101, 103)(102, 104)(105, 107)(106,
108)(109, 211)(110, 212)(111, 209)(112, 210)(113, 233)(114, 234)(115, 235)(116,
236)(121, 124)(122, 123)(125, 249)(126, 250)(127, 251)(128, 252)(129, 131)(130,
132)(137, 139)(138, 140)(141, 144)(142, 143)(145, 147)(146, 148)(153, 282)(154,
281)(155, 284)(156, 283)(157, 160)(158, 159)(165, 168)(166, 167)(169, 221)(170,
222)(171, 223)(172, 224)(173, 176)(174, 175)(177, 180)(178, 179)(181, 183)(182,
184)(185, 333)(186, 334)(187, 335)(188, 336)(193, 196)(194, 195)(197, 199)(198,
200)(205, 207)(206, 208)(213, 216)(214, 215)(217, 289)(218, 290)(219, 291)(220,
292)(225, 320)(226, 319)(227, 318)(228, 317)(229, 231)(230, 232)(237, 240)(238,
239)(241, 243)(242, 244)(245, 247)(246, 248)(253, 272)(254, 271)(255, 270)(256,
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412)(273, 276)(274, 275)(277, 279)(278, 280)(285, 288)(286, 287)(293, 296)(294,
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493)(439, 496)(440, 495)(441, 445)(442, 446)(443, 447)(444, 448)(449, 452)(450,
451)(453, 510)(454, 509)(455, 512)(456, 511)(457, 459)(458, 460)(461, 464)(462,
463)(465, 467)(466, 468)(469, 502)(470, 501)(471, 504)(472, 503)(473, 476)(474,
475)(477, 480)(478, 479)(485, 487)(486, 488)(497, 499)(498, 500)
e: (1, 5, 65, 213, 485, 353, 137, 13)(2, 354, 66, 14, 486, 6, 138, 214)(3, 463,
67, 43, 487, 23, 139, 351)(4, 24, 68, 352, 488, 464, 140, 44)(7, 145, 215, 468,
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466)(22, 148, 350, 465, 462, 280, 42, 62)(25, 37, 169, 453, 412, 415, 417,
49)(26, 416, 170, 50, 411, 38, 418, 454)(27, 98, 171, 509, 410, 360, 419,
118)(28, 359, 172, 117, 409, 97, 420, 510)(31, 447, 219, 192, 406, 60, 111,
255)(32, 59, 220, 256, 405, 448, 112, 191)(33, 53, 150, 440, 398, 332, 433,
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495)(36, 134, 151, 496, 399, 328, 436, 203)(39, 361, 455, 69, 413, 221, 51,
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124)(102, 274, 500, 123, 105, 195, 365, 449)(103, 143, 497, 239, 108, 339, 368,
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392)(168, 264, 393, 391, 258, 311, 307, 302)(199, 377, 423, 285, 426, 299, 374,
473)(200, 300, 424, 474, 425, 378, 373, 286)(231, 288, 348, 298, 315, 476, 321,
380)(232, 475, 347, 379, 316, 287, 322, 297)
C4[ 512, 253 ]
512
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0