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